31121767137571992
31,121,767,137,571,992 is an even composite number composed of five prime numbers multiplied together.
31121767137571992 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 31121767137571992:
23 × 34 × 73 × 101 × 1386352753
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 7 × 7 × 101 × 1386352753)See below for interesting mathematical facts about the number 31121767137571992 from the Numbermatics database.
Names of 31121767137571992
- Cardinal: 31121767137571992 can be written as Thirty-one quadrillion, one hundred twenty-one trillion, seven hundred sixty-seven billion, one hundred thirty-seven million, five hundred seventy-one thousand, nine hundred ninety-two.
Scientific notation
- Scientific notation: 3.1121767137571992 × 1016
Factors of 31121767137571992
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 1386352866
Divisors of 31121767137571992
- Number of divisors d(n): 320
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 81 84 98 101 108 126 147 162 168 189 196 202 216 252 294 303 324 343 378 392 404 441 504 567 588 606 648 686 707 756 808 882 909 1029 1134 1176 1212 1323 1372 1414 1512 1764 1818 2058 2121 2268 2424 2646 2727 2744 2828 3087 3528 3636 3969 4116 4242 4536 4949 5292 5454 5656 6174 6363 7272 7938 8181 8232 8484 9261 9898 10584 10908 12348 12726 14847 15876 16362 16968 18522 19089 19796 21816 24696 25452 27783 29694 31752 32724 34643 37044 38178 39592 44541 50904 55566 57267 59388 65448 69286 74088 76356 89082 103929 111132 114534 118776 133623 138572 152712 178164 207858 222264 229068 267246 277144 311787 356328 400869 415716 458136 534492 623574 801738 831432 935361 1068984 1247148 1603476 1870722 2494296 2806083 3206952 3741444 5612166 7482888 11224332 22448664 1386352753 2772705506 4159058259 5545411012 8318116518 9704469271 11090822024 12477174777 16636233036 19408938542 24954349554 29113407813 33272466072 37431524331 38817877084 49908699108 58226815626 67931284897 74863048662 77635754168 87340223439 99817398216 112294572993 116453631252 135862569794 140021628053 149726097324 174680446878 203793854691 224589145986 232907262504 262020670317 271725139588 280043256106 299452194648 349360893756 407587709382 420064884159 449178291972 475518994279 524041340634 543450279176 560086512212 611381564073 698721787512 786062010951 815175418764 840129768318 898356583944 951037988558 980151396371 1048082681268 1120173024424 1222763128146 1260194652477 1426556982837 1572124021902 1630350837528 1680259536636 1834144692219 1902075977116 1960302792742 2096165362536 2445526256292 2520389304954 2853113965674 2940454189113 3144248043804 3360519073272 3668289384438 3780583957431 3804151954232 3920605585484 4279670948511 4891052512584 5040778609908 5502434076657 5706227931348 5880908378226 6288496087608 6861059774597 7336578768876 7561167914862 7841211170968 8559341897022 8821362567339 10081557219816 11004868153314 11341751872293 11412455862696 11761816756452 12839012845533 13722119549194 14673157537752 15122335829724 17118683794044 17642725134678 20583179323791 22009736306628 22683503744586 23523633512904 25678025691066 26464087702017 27444239098388 30244671659448 34237367588088 35285450269356 38517038536599 41166358647582 44019472613256 45367007489172 48027418422179 51356051382132 52928175404034 54888478196776 61749537971373 70570900538712 77034077073198 79392263106051 82332717295164 90734014978344 96054836844358 102712102764264 105856350808068 123499075942746 144082255266537 154068154146396 158784526212102 164665434590328 185248613914119 192109673688716 211712701616136 246998151885492 288164510533074 308136308292792 317569052424204 370497227828238 384219347377432 432246765799611 493996303770984 555745841742357 576329021066148 635138104848408 740994455656476 864493531599222 1111491683484714 1152658042132296 1296740297398833 1481988911312952 1728987063198444 2222983366969428 2593480594797666 3457974126396888 3890220892196499 4445966733938856 5186961189595332 7780441784392998 10373922379190664 15560883568785996 31121767137571992
- Sum of all divisors σ(n): 102662194139208000
- Sum of proper divisors (its aliquot sum) s(n): 71540427001636008
- 31121767137571992 is an abundant number, because the sum of its proper divisors (71540427001636008) is greater than itself. Its abundance is 40418659864064016
Bases of 31121767137571992
- Binary: 11011101001000100010101000100110000010001110100100110002
- Hexadecimal: 0x6E911513047498
- Base-36: 8IFQUG5HTI0
Squares and roots of 31121767137571992
- 31121767137571992 squared (311217671375719922) is 968564389765255980425780982848064
- 31121767137571992 cubed (311217671375719923) is 30143435396018813798438394158316142175213997823488
-
The
square root of 31121767137571992 is 176413625.1471863835 -
The
cube root of 31121767137571992 is 314548.8364020699
Scales and comparisons
How big is 31121767137571992?- 31,121,767,137,571,992 seconds is equal to 989,575,929 years, 1 week, 3 days, 8 hours, 13 minutes, 12 seconds.
-
To count from 1 to 31,121,767,137,571,992 would take you about two billion, nine hundred sixty-eight million, seven hundred twenty-seven thousand, seven hundred eighty-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 31121767137571992 cubic inches would be around 26212.4 feet tall.
Recreational maths with 31121767137571992
- 31121767137571992 backwards is 29917573176712113
- 31121767137571992 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 31121767137571992's digits is 72
- More coming soon!
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