401122891938116634
401,122,891,938,116,634 is an even composite number composed of seven prime numbers multiplied together.
401122891938116634 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 401122891938116634:
2 × 3 × 11 × 13 × 53 × 773 × 11411291417
See below for interesting mathematical facts about the number 401122891938116634 from the Numbermatics database.
Names of 401122891938116634
- Cardinal: 401122891938116634 can be written as Four hundred one quadrillion, one hundred twenty-two trillion, eight hundred ninety-one billion, nine hundred thirty-eight million, one hundred sixteen thousand, six hundred thirty-four.
Scientific notation
- Scientific notation: 4.01122891938116634 × 1017
Factors of 401122891938116634
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 7
- Sum of prime factors: 11411292272
Divisors of 401122891938116634
- Number of divisors d(n): 128
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Complete list of divisors:
1 2 3 6 11 13 22 26 33 39 53 66 78 106 143 159 286 318 429 583 689 773 858 1166 1378 1546 1749 2067 2319 3498 4134 4638 7579 8503 10049 15158 17006 20098 22737 25509 30147 40969 45474 51018 60294 81938 110539 122907 221078 245814 331617 450659 532597 663234 901318 1065194 1351977 1597791 2703954 3195582 5858567 11717134 17575701 35151402 11411291417 22822582834 34233874251 68467748502 125524205587 148346788421 251048411174 296693576842 376572616761 445040365263 604798445101 753145233522 890080730526 1209596890202 1631814672631 1814395335303 3263629345262 3628790670606 4895444017893 6652782896111 7862379786313 8820928265341 9790888035786 13305565792222 15724759572626 17641856530682 19958348688333 23587139358939 26462784796023 39916697376666 47174278717878 52925569592046 86486177649443 97030210918751 114672067449433 172972355298886 194060421837502 229344134898866 259458532948329 291090632756253 344016202348299 467509198063073 518917065896658 582181265512506 688032404696598 935018396126146 1261392741943763 1402527594189219 2522785483887526 2805055188378438 3784178225831289 5142601178693803 6077619574819949 7568356451662578 10285202357387606 12155239149639898 15427803536081409 18232858724459847 30855607072162818 36465717448919694 66853815323019439 133707630646038878 200561445969058317 401122891938116634
- Sum of all divisors σ(n): 961523813591163648
- Sum of proper divisors (its aliquot sum) s(n): 560400921653047014
- 401122891938116634 is an abundant number, because the sum of its proper divisors (560400921653047014) is greater than itself. Its abundance is 159278029714930380
Bases of 401122891938116634
- Binary: 101100100010001001100100101000111010011111110110100000110102
- Hexadecimal: 0x59113251D3FB41A
- Base-36: 31PM74MTSM56
Squares and roots of 401122891938116634
- 401122891938116634 squared (4011228919381166342) is 160899574436797994530600606987489956
- 401122891938116634 cubed (4011228919381166343) is 64540502609700675531798083808174223409643753631528104
-
The
square root of 401122891938116634 is 633342633.9179422667 -
The
cube root of 401122891938116634 is 737495.1171182933
Scales and comparisons
How big is 401122891938116634?- 401,122,891,938,116,634 seconds is equal to 12,754,467,209 years, 3 weeks, 1 day, 13 hours, 43 minutes, 54 seconds.
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To count from 1 to 401,122,891,938,116,634 would take you about thirty-eight billion, two hundred sixty-three million, four hundred one thousand, six hundred twenty-seven years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 401122891938116634 cubic inches would be around 61457.9 feet tall.
Recreational maths with 401122891938116634
- 401122891938116634 backwards is 436611839198221104
- The number of decimal digits it has is: 18
- The sum of 401122891938116634's digits is 69
- More coming soon!
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"Number 401122891938116634 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
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Numbermatics. (2024). Number 401122891938116634 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/401122891938116634/
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