31993988514768

Names of 31993988514768

• Cardinal: 31993988514768 can be written as Thirty-one trillion, nine hundred ninety-three billion, nine hundred eighty-eight million, five hundred fourteen thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 3.1993988514768 × 10¹³

Factors of 31993988514768

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 965

Divisors of 31993988514768

• Number of divisors d(n): 840
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 53 54 56 63 72 81 84 106 108 112 126 144 159 162 168 189 199 212 216 243 252 318 324 336 371 378 398 424 432 477 486 504 567 597 636 648 701 729 742 756 796 848 954 972 1008 1113 1134 1194 1272 1296 1393 1402 1431 1458 1484 1512 1592 1701 1791 1908 1944 2103 2226 2268 2388 2544 2786 2804 2809 2862 2916 2968 3024 3184 3339 3402 3582 3816 3888 4179 4206 4293 4452 4536 4776 4907 5103 5373 5572 5608 5618 5724 5832 5936 6309 6678 6804 7164 7632 8358 8412 8427 8586 8904 9072 9552 9814 10017 10206 10547 10746 11144 11216 11236 11448 11664 12537 12618 12879 13356 13608 14328 14721 16119 16716 16824 16854 17172 17808 18927 19628 19663 20034 20412 21094 21492 22288 22472 22896 25074 25236 25281 25758 26712 27216 28656 29442 30051 31641 32238 33432 33648 33708 34344 37153 37611 37854 38637 39256 39326 40068 40824 42188 42984 44163 44944 48357 50148 50472 50562 51516 53424 56781 58884 58989 60102 63282 64476 66864 67416 68688 73829 74306 75222 75708 75843 77274 78512 78652 80136 81648 84376 85968 88326 90153 94923 96714 100296 100944 101124 103032 111459 112833 113562 117768 117978 120204 126564 128952 132489 134832 139499 145071 147658 148612 150444 151416 151686 154548 157304 160272 168752 170343 176652 176967 180306 189846 193428 200592 202248 206064 221487 222918 225666 227124 227529 235536 235956 240408 253128 257904 260071 264978 270459 278998 284769 290142 295316 297224 300888 302832 303372 309096 314608 334377 338499 340686 353304 353934 360612 379692 386856 397467 404496 418497 442974 445836 451332 454248 455058 471912 480816 506256 511029 520142 529956 530901 540918 557996 558991 569538 580284 590632 594448 601776 606744 618192 664461 668754 676998 681372 682587 706608 707868 721224 759384 773712 780213 794934 836994 854307 885948 891672 902664 908496 910116 943824 976493 1003131 1015497 1022058 1040284 1059912 1061802 1081836 1115992 1117982 1139076 1160568 1181264 1192401 1213488 1255491 1328922 1337508 1353996 1362744 1365174 1415736 1442448 1518768 1560426 1589868 1592703 1673988 1676973 1708614 1771896 1783344 1805328 1820232 1952986 1969109 1993383 2006262 2030994 2044116 2047761 2080568 2119824 2123604 2163672 2231984 2235964 2278152 2321136 2340639 2384802 2510982 2562921 2657844 2675016 2707992 2725488 2730348 2831472 2929479 3009393 3120852 3179736 3185406 3347976 3353946 3417228 3543792 3577203 3640464 3766473 3905972 3912937 3938218 3986766 4012524 4061988 4088232 4095522 4161136 4247208 4327344 4471928 4556304 4681278 4769604 4778109 5021964 5030919 5125842 5315688 5350032 5415984 5460696 5858958 5907327 5980149 6018786 6241704 6359472 6370812 6695952 6707892 6834456 7021917 7154406 7393447 7532946 7688763 7811944 7825874 7876436 7973532 8025048 8123976 8176464 8191044 8494416 8788437 8943856 9028179 9362556 9539208 9556218 10043928 10061838 10251684 10631376 10921392 11299419 11717916 11738811 11814654 11960298 12037572 12483408 12741624 13415784 13668912 13783763 14043834 14308812 14334327 14786894 15065892 15092757 15377526 15623888 15651748 15752872 15947064 16050096 16247952 16382088 17576874 17721981 17940447 18056358 18725112 19078416 19112436 20087856 20123676 20503368 21065751 22180341 22598838 23435832 23477622 23629308 23920596 24075144 25483248 26365311 26831568 27084537 27567526 28087668 28617624 28668654 29573788 30131784 30185514 30755052 31303496 31505744 31894128 32764176 33898257 35153748 35216433 35443962 35880894 36112716 37450224 38224872 40247352 41006736 41351289 42131502 44360682 45197676 45278271 46871664 46955244 47258616 47841192 48150288 51754129 52730622 53165943 53821341 54169074 55135052 56175336 57235248 57337308 59147576 60263568 60371028 61510104 62606992 63197253 66541023 67796514 70307496 70432866 70887924 71761788 72225432 76449744 79095933 80494704 82702578 84263004 88721364 90395352 90556542 93910488 94517232 95682384 101694771 103508258 105461244 105649299 106331886 107642682 108338148 110270104 112350672 114674616 118295152 120742056 123020208 124053867 126394506 133082046 135593028 135834813 140614992 140865732 141775848 143523576 144450864 155262387 158191866 159497829 165405156 168526008 177442728 180790704 181113084 187820976 189591759 199623069 203389542 207016516 210922488 211298598 212663772 215285364 216676296 220540208 229349232 237287799 241484112 248107734 252789012 266164092 271186056 271669626 281731464 283551696 287047152 310524774 316383732 316947897 318995658 330810312 337052016 354885456 362226168 372161601 379183518 391852691 399246138 406779084 407504439 414033032 421844976 422597196 425327544 430570728 433352592 465787161 474575598 478493487 496215468 505578024 532328184 542372112 543339252 563462928 598869207 621049548 632767464 633895794 637991316 661620624 711863397 724452336 744323202 758367036 783705382 798492276 813558168 815008878 828066064 845194392 850655088 861141456 931574322 949151196 950843691 956986974 992430936 1011156048 1064656368 1086678504 1116484803 1175558073 1197738414 1242099096 1265534928 1267791588 1275982632 1397361483 1423726794 1435480461 1488646404 1516734072 1567410764 1596984552 1627116336 1630017756 1690388784 1796607621 1863148644 1898302392 1901687382 1913973948 1984861872 2173357008 2232969606 2351116146 2395476828 2484198192 2535583176 2551965264 2742968837 2794722966 2847453588 2852531073 2870960922 2977292808 3033468144 3134821528 3193969104 3260035512 3349454409 3526674219 3593215242 3726297288 3796604784 3803374764 3827947896 4192084449 4465939212 4702232292 4790953656 5071166352 5389822863 5485937674 5589445932 5694907176 5705062146 5741921844 5954585616 6269643056 6520071024 6698908818 7053348438 7186430484 7452594576 7606749528 7655895792 8228906511 8384168898 8931878424 9404464584 9581907312 10048363227 10580022657 10779645726 10971875348 11178891864 11389814352 11410124292 11483843688 12576253347 13397817636 14106696876 14372860968 15213499056 16457813022 16768337796 17863756848 18808929168 20096726454 21160045314 21559291452 21943750696 22357783728 22820248584 22967687376 24686719533 25152506694 26795635272 28213393752 28745721936 31740067971 32915626044 33536675592 37728760041 40193452908 42320090628 43118582904 43887501392 45640497168 49373439066 50305013388 53591270544 56426787504 63480135942 65831252088 67073351184 74060158599 75457520082 80386905816 84640181256 86237165808 95220203913 98746878132 100610026776 126960271884 131662504176 148120317198 150915040164 160773811632 169280362512 190440407826 197493756264 201220053552 222180475797 253920543768 285660611739 296240634396 301830080328 380880815652 394987512528 444360951594 507841087536 571321223478 592481268792 603660160656 666541427391 761761631304 888721903188 1142642446956 1184962537584 1333082854782 1523523262608 1777443806376 1999624282173 2285284893912 2666165709564 3554887612752 3999248564346 4570569787824 5332331419128 7998497128692 10664662838256 15996994257384 31993988514768
• Sum of all divisors σ(n): 108958294972800
• Sum of proper divisors (its aliquot sum) s(n): 76964306458032
• 31993988514768 is an abundant number, because the sum of its proper divisors (76964306458032) is greater than itself. Its abundance is 44970317943264

Bases of 31993988514768

• Binary: 111010001100100101110010100100000001111010000₂
• Hexadecimal: 0x1D192E5203D0
• Base-36: BC9U2P900

Squares and roots of 31993988514768

• 31993988514768 squared (31993988514768²) is 1023615301083106694554093824
• 31993988514768 cubed (31993988514768³) is 32749536186393703896232010098151881592832
• The square root of 31993988514768 is 5656322.8792889821
• The cube root of 31993988514768 is 31746.0328652807

Scales and comparisons

• 31,993,988,514,768 seconds is equal to 1,017,309 years, 45 weeks, 1 day, 23 hours, 52 minutes, 48 seconds.
• To count from 1 to 31,993,988,514,768 would take you about two million, five hundred forty-three thousand, two hundred seventy-four 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 31993988514768 cubic inches would be around 2645.5 feet tall.

Recreational maths with 31993988514768

• 31993988514768 backwards is 86741588939913
• 31993988514768 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 31993988514768's digits is 81
• More coming soon!