31934382834816

Names of 31934382834816

• Cardinal: 31934382834816 can be written as Thirty-one trillion, nine hundred thirty-four billion, three hundred eighty-two million, eight hundred thirty-four thousand, eight hundred sixteen.

Scientific notation

• Scientific notation: 3.1934382834816 × 10¹³

Factors of 31934382834816

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 241

Divisors of 31934382834816

• Number of divisors d(n): 1728
• Complete list of divisors:
  1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 32 33 36 37 42 44 48 54 56 63 64 66 72 74 77 81 84 88 96 99 108 111 112 121 126 128 132 144 148 154 162 168 176 181 189 192 198 216 222 224 231 242 243 252 259 264 288 296 297 308 324 333 336 352 362 363 378 384 396 407 432 444 448 462 484 486 504 518 528 543 567 576 592 594 616 648 666 672 693 704 724 726 756 777 792 814 847 864 888 891 896 924 968 972 999 1008 1036 1056 1086 1089 1134 1152 1184 1188 1221 1232 1267 1296 1332 1344 1386 1408 1448 1452 1512 1554 1584 1628 1629 1694 1701 1728 1776 1782 1848 1936 1944 1991 1998 2016 2072 2079 2112 2172 2178 2268 2331 2368 2376 2442 2464 2534 2541 2592 2664 2673 2688 2772 2849 2896 2904 2997 3024 3108 3168 3256 3258 3267 3388 3402 3456 3552 3564 3663 3696 3801 3872 3888 3982 3996 4032 4144 4158 4224 4344 4356 4477 4536 4662 4736 4752 4884 4887 4928 5068 5082 5184 5328 5346 5544 5698 5792 5808 5973 5994 6048 6216 6237 6336 6512 6516 6534 6697 6776 6804 6993 7104 7128 7326 7392 7602 7623 7744 7776 7964 7992 8064 8288 8316 8547 8688 8712 8954 8991 9072 9324 9504 9768 9774 9801 9856 10136 10164 10368 10656 10692 10989 11088 11396 11403 11584 11616 11946 11988 12096 12432 12474 12672 13024 13032 13068 13394 13431 13552 13608 13937 13986 14208 14256 14652 14661 14784 15204 15246 15488 15552 15928 15984 16576 16632 17094 17376 17424 17908 17919 17982 18144 18648 18711 19008 19536 19548 19602 20091 20272 20328 20979 21312 21384 21901 21978 22176 22792 22806 22869 23168 23232 23892 23976 24192 24864 24948 25641 26048 26064 26136 26788 26862 27104 27216 27874 27972 28512 29304 29322 29403 29568 30408 30492 31104 31339 31856 31968 32761 32967 33152 33264 34188 34209 34752 34848 35816 35838 35964 36288 37296 37422 38016 39072 39096 39204 40182 40293 40544 40656 41811 41958 42624 42768 43802 43956 43983 44352 45584 45612 45738 46464 46879 47784 47952 49728 49896 51282 52096 52128 52272 53576 53724 53757 54208 54432 55748 55944 57024 58608 58644 58806 60273 60816 60984 62678 62937 63712 63936 65522 65703 65934 66528 68376 68418 68607 69504 69696 71632 71676 71928 72576 73667 74592 74844 76923 78144 78192 78408 80364 80586 81088 81312 83622 83916 85536 87604 87912 87966 88704 91168 91224 91476 93758 94017 95568 95904 98283 98901 99456 99792 102564 102627 104256 104544 107152 107448 107514 108416 108864 111496 111888 114048 117216 117288 117612 120546 120879 121632 121968 125356 125433 125874 127424 127872 131044 131406 131868 133056 136752 136836 137214 139392 140637 143264 143352 143856 147334 149184 149688 153307 153846 156288 156384 156816 160728 161172 161271 162176 162624 167244 167832 171072 175208 175824 175932 180819 182336 182448 182952 187516 188034 191136 191808 196566 197109 197802 199584 205128 205254 205821 208512 209088 214304 214896 215028 217728 221001 222992 223776 229327 230769 234432 234576 235224 241092 241758 243264 243936 250712 250866 251748 254848 262088 262812 263736 266112 273504 273672 274428 281274 282051 286528 286704 287712 294668 294849 298368 299376 306614 307692 307881 312768 313632 321456 322344 322542 325248 334488 335664 342144 350416 351648 351864 360371 361638 362637 364672 364896 365904 375032 376068 376299 382272 383616 393132 394218 395604 399168 410256 410508 411642 418176 421911 428608 429792 430056 442002 445984 447552 458654 459921 461538 468864 469152 470448 482184 483516 483813 486528 487872 501424 501732 503496 515669 524176 525624 527472 542457 547008 547344 548856 562548 564102 573056 573408 575424 589336 589698 591327 598752 613228 615384 615762 625536 627264 642912 644688 645084 663003 668976 671328 687981 692307 700832 703296 703728 720742 723276 725274 729792 731808 750064 752136 752598 764544 786264 788436 791208 798336 810337 820512 821016 823284 843822 846153 857216 859584 860112 884004 884547 891968 895104 917308 919842 923076 938304 940896 964368 967032 967626 975744 1002848 1003464 1006992 1031338 1048352 1051248 1054944 1081113 1084914 1087911 1094016 1094688 1097712 1125096 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249737103 250615134 253701184 254593152 254749536 261825912 262549188 264184704 264914496 271523168 272273232 272440476 280008267 285413832 286417296 293341994 294554151 297025344 297207792 298028808 305463564 306307386 311169408 311360544 320009448 321090561 322892416 324922752 332982804 334153512 339666048 340604352 349101216 350065584 350280612 360010629 363030976 363253968 364531104 373344356 380551776 381889728 392738868 393823782 396277056 397371744 407284752 408409848 408660714 415147392 426679264 428120748 433496448 440012991 443977072 445538016 445811688 458195346 459461079 465468288 466754112 467040816 480014172 484338624 486041472 487384128 499474206 501230268 507402368 509499072 523651824 525098376 529828992 543046336 544546464 544880952 560016534 570827664 572834592 586683988 589108302 594050688 594415584 596057616 610927128 612614772 612991071 622721088 640018896 642181122 665965608 668307024 681208704 687293019 698202432 700131168 700561224 720021258 726061952 726507936 729062208 746688712 749211309 761103552 763779456 785477736 787647564 792554112 794743488 814569504 816819696 817321428 840024801 853358528 856241496 880025982 887954144 891076032 891623376 916390692 918922158 933508224 934081632 960028344 963271683 968677248 974768256 998948412 1002460536 1018998144 1026696979 1047303648 1050196752 1080031887 1086092672 1089092928 1089761904 1120033068 1141655328 1145669184 1173367976 1178216604 1188831168 1192115232 1221854256 1225229544 1225982142 1245442176 1280037792 1284362244 1320038973 1331931216 1336614048 1374586038 1378383237 1396404864 1400262336 1401122448 1440042516 1453015872 1458124416 1493377424 1498422618 1522207104 1570955472 1575295128 1589486976 1629139008 1633639392 1634642856 1680049602 1706717056 1712482992 1760051964 1775908288 1782152064 1783246752 1832781384 1837844316 1868163264 1920056688 1926543366 1997896824 2004921072 2053393958 2061879057 2094607296 2100393504 2160063774 2178185856 2179523808 2240066136 2247633927 2283310656 2291338368 2346735952 2356433208 2377662336 2384230464 2443708512 2450459088 2451964284 2520074403 2560075584 2568724488 2640077946 2663862432 2673228096 2749172076 2756766474 2800524672 2802244896 2880085032 2906031744 2986754848 2996845236 3080090937 3141910944 3150590256 3240095661 3258278016 3267278784 3269285712 3360099204 3424965984 3520103928 3551816576 3566493504 3665562768 3675688632 3736326528 3840113376 3853086732 3960116919 3995793648 4009842144 4106787916 4123758114 4189214592 4200787008 4320127548 4359047616 4480132272 4495267854 4566621312 4693471904 4712866416 4768460928 4887417024 4900918176 4903928568 5040148806 5120151168 5137448976 5280155892 5327724864 5346456192 5498344152 5513532948 5604489792 5760170064 5973509696 5993690472 6160181874 6283821888 6301180512 6480191322 6534557568 6538571424 6720198408 6742901781 6849931968 7040207856 7132987008 7331125536 7351377264 7560223209 7680226752 7706173464 7920233838 7991587296 8019684288 8213575832 8247516228 8401574016 8640255096 8718095232 8960264544 8990535708 9240272811 9386943808 9425732832 9774834048 9801836352 9807857136 10080297612 10274897952 10560311784 10655449728 10996688304 11027065896 11208979584 11520340128 11880350757 11947019392 11987380944 12320363748 12567643776 12602361024 12960382644 13077142848 13440396816 13485803562 13699863936 14080415712 14662251072 14702754528 15120446418 15360453504 15412346928 15840467676 15983174592 16039368576 16427151664 16495032456 17280510192 17920529088 17981071416 18480545622 18773887616 18851465664 19603672704 19615714272 20160595224 20549795904 21120623568 21993376608 22054131792 22680669627 23040680256 23760701514 23974761888 24640727496 25204722048 25920765288 26154285696 26880793632 26971607124 27720818433 28160831424 29324502144 29405509056 30240892836 30824693856 31680935352 31966349184 32854303328 32990064912 34561020384 35641052271 35841058176 35962142832 36961091244 37702931328 39231428544 40321190448 41099591808 42241247136 43986753216 44108263584 45361339254 46081360512 47521403028 47949523776 49281454992 51841530576 53761587264 53943214248 55441636866 56321662848 58811018112 60481785672 61649387712 63361870704 65708606656 65980129824 69122040768 71282104542 71924285664 73922182488 78462857088 80642380896 83162455299 84482494272 87973506432 88216527168 90722678508 95042806056 95899047552 98562909984 103683061152 107523174528 107886428496 110883273732 120963571344 123298775424 126723741408 131417213312 131960259648 138244081536 142564209084 143848571328 147844364976 161284761792 166324910598 168964988544 176433054336 181445357016 190085612112 197125819968 207366122304 215772856992 221766547464 241927142688 249487365897 253447482816 263920519296 285128418168 287697142656 295688729952 322569523584 332649821196 362890714032 380171224224 394251639936 414732244608 431545713984 443533094928 483854285376 498974731794 506894965632 570256836336 591377459904 665299642392 725781428064 760342448448 863091427968 887066189856 967708570752 997949463588 1140513672672 1182754919808 1330599284784 1451562856128 1520684896896 1774132379712 1995898927176 2281027345344 2661198569568 2903125712256 3548264759424 3991797854352 4562054690688 5322397139136 7983595708704 10644794278272 15967191417408 31934382834816
• Sum of all divisors σ(n): 123631726720320
• Sum of proper divisors (its aliquot sum) s(n): 91697343885504
• 31934382834816 is an abundant number, because the sum of its proper divisors (91697343885504) is greater than itself. Its abundance is 59762961050688

Bases of 31934382834816

• Binary: 111010000101101001101100010111000010010000000₂
• Hexadecimal: 0x1D0B4D8B8480
• Base-36: BBIGB0O00

Squares and roots of 31934382834816

• 31934382834816 squared (31934382834816²) is 1019804807040590784341753856
• 31934382834816 cubed (31934382834816³) is 32566837124819885407247022408522579050496
• The square root of 31934382834816 is 5651051.4804606053
• The cube root of 31934382834816 is 31726.3060324061

Scales and comparisons

• 31,934,382,834,816 seconds is equal to 1,015,414 years, 30 weeks, 6 days, 10 hours, 33 minutes, 36 seconds.
• To count from 1 to 31,934,382,834,816 would take you about two million, five hundred thirty-eight thousand, five hundred thirty-six 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 31934382834816 cubic inches would be around 2643.9 feet tall.

Recreational maths with 31934382834816

• 31934382834816 backwards is 61843828343913
• 31934382834816 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 31934382834816's digits is 63
• More coming soon!