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{{Portal|Mathematics}}
{{Portal|Mathematics}}
'''100,000,000,000,000''' ('''hundred trillion''' on the short scale; '''hundred billion''' on the long scale; hundred thousand [[1,000,000,000|billion]]; hundred million [[1,000,000|million]]) is the [[natural number]] following [[10,000,000,000,000#99,000,000,000,000 to 99,999,999,999,999|99,999,999,999,999]] and preceding 100,000,000,000,001. It is known as 1 [[lakh]] arab, 1000 kharab, 1 crore [[crore]], or 10 nil in the Indian numbering system.
'''100,000,000,000,000''' ('''hundred trillion''' on the short scale; '''hundred billion''' on the long scale; hundred thousand [[1,000,000,000|billion]]; hundred million [[1,000,000|million]]) is the [[natural number]] following [[10,000,000,000,000#99,000,000,000,000 to 99,999,999,999,999|99,999,999,999,999]] and preceding 100,000,000,000,001. It is known as 1 [[lakh]] arab, 1000 kharab, 1 crore [[crore]], or 10 nil in the Indian numbering system.
== Properties and usage ==
100,000,000,000,000 has the following properties and usage:
=== In mathematics ===
*It is [[Even number|even]], [[Composite number|composite]], [[Abundant number|abundant]], [[Polite number|polite]], [[Practical number|practical]], [[Frugal number|frugal]], and [[Regular number|regular]]. It is also a [[perfect power]] and a [[harshad number]].
*It is written in scientific notation as '''1 × 10<sup>14</sup>''' or '''10<sup>14</sup>''' ('''1E+14''' or simply '''1E14''' in [[Scientific notation#E notation|E notation]]).
*It has a total of 225 divisors (210 even, 15 odd). All divisors are displayed below:
<blockquote><small>1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 128, 160, 200, 250, 256, 320, 400, 500, 512, 625, 640, 800, 1000, 1024, 1250, 1280, 1600, 2000, 2048, 2500, 2560, 3125, 3200, 4000, 4096, 5000, 5120, 6250, 6400, 8000, 8192, 10000, 10240, 12500, 12800, 15625, 16000, 16384, 20000, 20480, 25000, 25600, 31250, 32000, 40000, 40960, 50000, 51200, 62500, 64000, 78125, 80000, 81920, 100000, 102400, 125000, 128000, 156250, 160000, 200000, 204800, 250000, 256000, 312500, 320000, 390625, 400000, 409600, 500000, 512000, 625000, 640000, 781250, 800000, 1000000, 1024000, 1250000, 1280000, 1562500, 1600000, 1953125, 2000000, 2048000, 2500000, 2560000, 3125000, 3200000, 3906250, 4000000, 5000000, 5120000, 6250000, 6400000, 7812500, 8000000, 9765625, 10000000, 10240000, 12500000, 12800000, 15625000, 16000000, 19531250, 20000000, 25000000, 25600000, 31250000, 32000000, 39062500, 40000000, 48828125, 50000000, 51200000, 62500000, 64000000, 78125000, 80000000, 97656250, 100000000, 125000000, 128000000, 156250000, 160000000, 195312500, 200000000, 244140625, 250000000, 256000000, 312500000, 320000000, 390625000, 400000000, 488281250, 500000000, 625000000, 640000000, 781250000, 800000000, 976562500, 1000000000, 1220703125, 1250000000, 1280000000, 1562500000, 1600000000, 1953125000, 2000000000, 2441406250, 2500000000, 3125000000, 3200000000, 3906250000, 4000000000, 4882812500, 5000000000, 6103515625, 6250000000, 6400000000, 7812500000, 8000000000, 9765625000, 10000000000, 12207031250, 12500000000, 15625000000, 16000000000, 19531250000, 20000000000, 24414062500, 25000000000, 31250000000, 32000000000, 39062500000, 40000000000, 48828125000, 50000000000, 62500000000, 78125000000, 80000000000, 97656250000, 100000000000, 125000000000, 156250000000, 160000000000, 195312500000, 200000000000, 250000000000, 312500000000, 390625000000, 400000000000, 500000000000, 625000000000, 781250000000, 800000000000, 1000000000000, 1250000000000, 1562500000000, 2000000000000, 2500000000000, 3125000000000, 4000000000000, 5000000000000, 6250000000000, 10000000000000, 12500000000000, 20000000000000, 25000000000000, 50000000000000, 100000000000000</small></blockquote>
*The sum of all its divisors, including itself, is 249,992,370,597,277.
*It has an [[aliquot sum]] of 149,992,370,597,277.
*Below is the list of basic calculations of 100,000,000,000,000:
{| class="wikitable" style="margin:1em auto; text-align: center; background: white"
! style="width:50px;" |
! style="width:150px;" |[[Multiplication]]<br/><math>\scriptstyle{\text{100,000,000,000,000 }\times\text{ x}}</math>
! style="width:150px;" |[[Division (mathematics)|Division]]<br/><math>\scriptstyle{\text{100,000,000,000,000 }\div\text{ x}}</math>
! style="width:150px;" |[[Exponentiation]]<br/><math>\scriptstyle{\text{100,000,000,000,000}^\text{x}}</math>
! style="width:150px;" |[[nth root|{{mvar|n}}th root]]<br/>
<math>\scriptstyle{\sqrt[\text{x}]{\text{100,000,000,000,000}}}</math>
|-
|2||200,000,000,000,000||50,000,000,000,000||10<sup>28</sup>||10,000,000
|-
|3||300,000,000,000,000||33,333,333,333,333.{{overline|3}}||10<sup>42</sup>||≈46,415.8883
|-
|4||400,000,000,000,000||25,000,000,000,000||10<sup>56</sup>||≈3,162.2776
|-
|5||500,000,000,000,000||20,000,000,000,000||10<sup>70</sup>||≈630.9573
|-
|6||600,000,000,000,000||16,666,666,666,666.{{overline|6}}||10<sup>84</sup>||≈215.4434
|-
|7||700,000,000,000,000||14,285,714,285,714.{{overline|285714}}||10<sup>98</sup>||100
|-
|8||800,000,000,000,000||12,500,000,000,000||10<sup>112</sup>||≈56.2341
|-
|9||900,000,000,000,000||11,111,111,111,111.{{overline|1}}||10<sup>126</sup>||≈35.9381
|-
|10||1,000,000,000,000,000||10,000,000,000,000||10<sup>140</sup>||≈25.1188
|}

Revision as of 11:01, 28 July 2026

Template:AfC submission

Template:Infobox number


100,000,000,000,000 (hundred trillion on the short scale; hundred billion on the long scale; hundred thousand billion; hundred million million) is the natural number following 99,999,999,999,999 and preceding 100,000,000,000,001. It is known as 1 lakh arab, 1000 kharab, 1 crore crore, or 10 nil in the Indian numbering system.

Properties and usage

100,000,000,000,000 has the following properties and usage:

In mathematics

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 128, 160, 200, 250, 256, 320, 400, 500, 512, 625, 640, 800, 1000, 1024, 1250, 1280, 1600, 2000, 2048, 2500, 2560, 3125, 3200, 4000, 4096, 5000, 5120, 6250, 6400, 8000, 8192, 10000, 10240, 12500, 12800, 15625, 16000, 16384, 20000, 20480, 25000, 25600, 31250, 32000, 40000, 40960, 50000, 51200, 62500, 64000, 78125, 80000, 81920, 100000, 102400, 125000, 128000, 156250, 160000, 200000, 204800, 250000, 256000, 312500, 320000, 390625, 400000, 409600, 500000, 512000, 625000, 640000, 781250, 800000, 1000000, 1024000, 1250000, 1280000, 1562500, 1600000, 1953125, 2000000, 2048000, 2500000, 2560000, 3125000, 3200000, 3906250, 4000000, 5000000, 5120000, 6250000, 6400000, 7812500, 8000000, 9765625, 10000000, 10240000, 12500000, 12800000, 15625000, 16000000, 19531250, 20000000, 25000000, 25600000, 31250000, 32000000, 39062500, 40000000, 48828125, 50000000, 51200000, 62500000, 64000000, 78125000, 80000000, 97656250, 100000000, 125000000, 128000000, 156250000, 160000000, 195312500, 200000000, 244140625, 250000000, 256000000, 312500000, 320000000, 390625000, 400000000, 488281250, 500000000, 625000000, 640000000, 781250000, 800000000, 976562500, 1000000000, 1220703125, 1250000000, 1280000000, 1562500000, 1600000000, 1953125000, 2000000000, 2441406250, 2500000000, 3125000000, 3200000000, 3906250000, 4000000000, 4882812500, 5000000000, 6103515625, 6250000000, 6400000000, 7812500000, 8000000000, 9765625000, 10000000000, 12207031250, 12500000000, 15625000000, 16000000000, 19531250000, 20000000000, 24414062500, 25000000000, 31250000000, 32000000000, 39062500000, 40000000000, 48828125000, 50000000000, 62500000000, 78125000000, 80000000000, 97656250000, 100000000000, 125000000000, 156250000000, 160000000000, 195312500000, 200000000000, 250000000000, 312500000000, 390625000000, 400000000000, 500000000000, 625000000000, 781250000000, 800000000000, 1000000000000, 1250000000000, 1562500000000, 2000000000000, 2500000000000, 3125000000000, 4000000000000, 5000000000000, 6250000000000, 10000000000000, 12500000000000, 20000000000000, 25000000000000, 50000000000000, 100000000000000

  • The sum of all its divisors, including itself, is 249,992,370,597,277.
  • It has an aliquot sum of 149,992,370,597,277.
  • Below is the list of basic calculations of 100,000,000,000,000:
Multiplication
<math>\scriptstyle{\text{100,000,000,000,000 }\times\text{ x}}</math>
Division
<math>\scriptstyle{\text{100,000,000,000,000 }\div\text{ x}}</math>
Exponentiation
<math>\scriptstyle{\text{100,000,000,000,000}^\text{x}}</math>
[[nth root|Template:Mvarth root]]

<math>\scriptstyle{\sqrt[\text{x}]{\text{100,000,000,000,000}}}</math>

2 200,000,000,000,000 50,000,000,000,000 1028 10,000,000
3 300,000,000,000,000 33,333,333,333,333.Template:Overline 1042 ≈46,415.8883
4 400,000,000,000,000 25,000,000,000,000 1056 ≈3,162.2776
5 500,000,000,000,000 20,000,000,000,000 1070 ≈630.9573
6 600,000,000,000,000 16,666,666,666,666.Template:Overline 1084 ≈215.4434
7 700,000,000,000,000 14,285,714,285,714.Template:Overline 1098 100
8 800,000,000,000,000 12,500,000,000,000 10112 ≈56.2341
9 900,000,000,000,000 11,111,111,111,111.Template:Overline 10126 ≈35.9381
10 1,000,000,000,000,000 10,000,000,000,000 10140 ≈25.1188