31381917892982272
31,381,917,892,982,272 is an even composite number composed of seven prime numbers multiplied together.
What does the number 31381917892982272 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1440 divisors.
31381917892982272 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 31381917892982272:
29 × 7 × 112 × 67 × 972 × 191 × 601
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 11 × 11 × 67 × 97 × 97 × 191 × 601)See below for interesting mathematical facts about the number 31381917892982272 from the Numbermatics database.
Names of 31381917892982272
- Cardinal: 31381917892982272 can be written as Thirty-one quadrillion, three hundred eighty-one trillion, nine hundred seventeen billion, eight hundred ninety-two million, nine hundred eighty-two thousand, two hundred seventy-two.
Scientific notation
- Scientific notation: 3.1381917892982272 × 1016
Factors of 31381917892982272
Divisors of 31381917892982272
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 4 7 8 11 14 16 22 28 32 44 56 64 67 77 88 97 112 121 128 134 154 176 191 194 224 242 256 268 308 352 382 388 448 469 484 512 536 601 616 679 704 737 764 776 847 896 938 968 1067 1072 1202 1232 1337 1358 1408 1474 1528 1552 1694 1792 1876 1936 2101 2134 2144 2404 2464 2674 2716 2816 2948 3056 3104 3388 3584 3752 3872 4202 4207 4268 4288 4808 4928 5159 5348 5432 5632 5896 6112 6208 6499 6611 6776 7469 7504 7744 8107 8404 8414 8536 8576 9409 9616 9856 10318 10696 10864 11737 11792 12224 12416 12797 12998 13222 13552 14707 14938 15008 15488 16214 16808 16828 17072 17152 18527 18818 19232 19712 20636 21392 21728 23111 23474 23584 24448 24832 25594 25996 26444 27104 29414 29876 30016 30976 32428 33616 33656 34144 34304 37054 37636 38464 39424 40267 41272 42784 43456 45493 46222 46277 46948 47168 48896 49664 51188 51992 52888 54208 56749 58297 58828 59752 60032 61952 64856 65863 67232 67312 68288 71489 72721 74108 75272 76928 80534 82159 82544 85568 86912 89579 90986 92444 92554 93896 94336 97792 102376 103499 103984 105776 108416 113498 114791 116594 117656 119504 120064 129689 129712 131726 134464 134624 136576 140767 142978 145442 148216 150544 153856 161068 161777 164318 165088 171136 173824 179158 181972 184888 185108 187792 188672 203797 204752 206998 207968 211552 216832 226996 229582 233188 235312 239008 240128 259378 259424 263452 268928 269248 273152 281534 281869 285956 290884 296432 301088 307712 322136 323554 328636 330176 342272 347648 358316 363944 369776 370216 375584 377344 407594 408079 409504 413996 415936 423104 433664 442937 453992 459164 466376 470624 478016 500423 509047 518756 518848 526904 537856 538496 546304 563068 563738 571912 581768 592864 602176 630403 641267 644272 647108 657272 660352 684544 716632 724493 727888 739552 740432 751168 786379 803537 815188 816158 819008 827992 831872 846208 885874 907984 918328 932752 941248 956032 985369 1000846 1018094 1037512 1037696 1053808 1075712 1076992 1126136 1127476 1138489 1143824 1163536 1185728 1204352 1241309 1260806 1262701 1282534 1288544 1294216 1314544 1320704 1426579 1433264 1448986 1455776 1479104 1480864 1502336 1548437 1572758 1607074 1630376 1632316 1638016 1655984 1663744 1692416 1771748 1797119 1815968 1836656 1865504 1882496 1912064 1970738 2001692 2036188 2075024 2075392 2107616 2153984 2241767 2252272 2254952 2276978 2287648 2327072 2371456 2408704 2482618 2521612 2525402 2565068 2577088 2588432 2629088 2641408 2853158 2866528 2897972 2911552 2958208 2961728 3004672 3096874 3100559 3145516 3214148 3260752 3264632 3276032 3311968 3327488 3384832 3543496 3594238 3631936 3673312 3731008 3764992 3824128 3905899 3941476 4003384 4072376 4150048 4150784 4215232 4412821 4483534 4488869 4504544 4509904 4553956 4575296 4654144 4742912 4817408 4872307 4965236 5043224 5050804 5130136 5154176 5176864 5258176 5504653 5654809 5706316 5733056 5795944 5823104 5916416 5923456 6009344 6193748 6201118 6291032 6428296 6521504 6529264 6552064 6623936 6934433 7053937 7086992 7188476 7263872 7346624 7462016 7529984 7690997 7811798 7882952 7969423 8006768 8144752 8300096 8430464 8689163 8825642 8838907 8967068 8977738 9009088 9019808 9107912 9150592 9308288 9485824 9744614 9930472 10086448 10101608 10260272 10308352 10353728 10516352 10839059 11009306 11134727 11309618 11412632 11466112 11591888 11646208 11832832 11846912 12387496 12402236 12579833 12582064 12856592 13043008 13058528 13247872 13654399 13868866 13889711 14107874 14173984 14376952 14527744 14693248 14924032 15381994 15623596 15692369 15765904 15938846 16013536 16289504 16600192 16860928 17378326 17651284 17677814 17934136 17955476 18018176 18039616 18215824 18301184 18616576 19489228 19768309 19860944 20172896 20203216 20520544 20616704 20707456 21032704 21678118 22018612 22269454 22619236 22825264 22932224 23183776 23292416 23693824 24774992 24804472 25159666 25164128 25713184 26086016 26117056 26495744 27308798 27341293 27737732 27779422 28215748 28347968 28753904 29055488 29386496 29848064 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12736167976048 13054042384768 14637088569488 14705678487808 14936657731072 16209668333152 16728101222272 17512230967066 18525335237888 20220307920736 20537904380224 21290310646528 22288293958084 23108923337984 23471890720256 25472335952096 26108084769536 29274177138976 29411356975616 32419336666304 33456202444544 35024461934132 37050670475776 40440615841472 41075808760448 42580621293056 44576587916168 46217846675968 50944671904192 52216169539072 58548354277952 61292808384731 64838673332608 66912404889088 70048923868264 80881231682944 82151617520896 89153175832336 101889343808384 117096708555904 122585616769462 129677346665216 140097847736528 161762463365888 164303235041792 178306351664672 203778687616768 234193417111808 245171233538924 259354693330432 280195695473056 323524926731776 356612703329344 407557375233536 468386834223616 490342467077848 560391390946112 713225406658688 980684934155696 1120782781892224 1426450813317376 1961369868311392 2241565563784448 2852901626634752 3922739736622784 4483131127568896 7845479473245568 15690958946491136 31381917892982272
- Sum of all divisors σ(n): 81333111715688448
- Sum of proper divisors (its aliquot sum) s(n): 49951193822706176
- 31381917892982272 is an abundant number, because the sum of its proper divisors (49951193822706176) is greater than itself. Its abundance is 18569275929723904
Bases of 31381917892982272
- Binary: 11011110111110110110000001001000110000110110110000000002
- Hexadecimal: 0x6F7DB02461B600
- Base-36: 8KZYM20DF5S
Squares and roots of 31381917892982272
- 31381917892982272 squared (313819178929822722) is 984824770641880882168186106281984
- 31381917892982272 cubed (313819178929822723) is 30905690091258603777754484939805515789847544987648
-
The
square root of 31381917892982272 is 177149422.5025367447 -
The
cube root of 31381917892982272 is 315422.8566190529
Scales and comparisons
How big is 31381917892982272?- 31,381,917,892,982,272 seconds is equal to 997,847,918 years, 18 weeks, 1 day, 21 hours, 17 minutes, 52 seconds.
-
To count from 1 to 31,381,917,892,982,272 would take you about two billion, nine hundred ninety-three million, five hundred forty-three thousand, seven hundred fifty-five 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 31381917892982272 cubic inches would be around 26285.2 feet tall.
Recreational maths with 31381917892982272
- 31381917892982272 backwards is 27228929871918313
- The number of decimal digits it has is: 17
- The sum of 31381917892982272's digits is 82
- More coming soon!
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"Number 31381917892982272 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
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Numbermatics. (2024). Number 31381917892982272 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/31381917892982272/
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Numbermatics. 2024. "Number 31381917892982272 - Facts about the integer". https://numbermatics.com/n/31381917892982272/
The information we have on file for 31381917892982272 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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