105413046064320

Names of 105413046064320

• Cardinal: 105413046064320 can be written as One hundred five trillion, four hundred thirteen billion, forty-six million, sixty-four thousand, three hundred twenty.

Scientific notation

• Scientific notation: 1.0541304606432 × 10¹⁴

Factors of 105413046064320

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 2065

Divisors of 105413046064320

• Number of divisors d(n): 504
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 53 60 64 69 80 92 96 106 115 120 138 159 160 184 192 212 230 240 265 276 318 320 345 368 424 460 480 529 530 552 636 690 736 795 848 920 960 1058 1060 1104 1219 1272 1380 1472 1587 1590 1696 1840 1979 2116 2120 2208 2438 2544 2645 2760 3174 3180 3392 3657 3680 3958 4232 4240 4416 4876 5088 5290 5520 5937 6095 6348 6360 7314 7360 7916 7935 8464 8480 9752 9895 10176 10580 11040 11874 12190 12696 12720 14628 15832 15870 16928 16960 18285 19504 19790 21160 22080 23748 24380 25392 25440 28037 29256 29685 31664 31740 33856 36570 39008 39580 42320 45517 47496 48760 50784 50880 56074 58512 59370 63328 63480 73140 78016 79160 84111 84640 91034 94992 97520 101568 104887 112148 117024 118740 126656 126960 136551 140185 146280 158320 168222 169280 182068 189984 195040 209774 224296 227585 234048 237480 253920 273102 280370 292560 314661 316640 336444 364136 379968 390080 419548 420555 448592 455170 474960 507840 524435 546204 560740 585120 629322 633280 672888 682755 728272 839096 841110 897184 910340 949920 1046891 1048870 1092408 1121480 1170240 1258644 1345776 1365510 1456544 1573305 1678192 1682220 1794368 1820680 1899840 2093782 2097740 2184816 2242960 2412401 2517288 2691552 2731020 2913088 3140673 3146610 3356384 3364440 3641360 3916441 4187564 4195480 4369632 4485920 4824802 5034576 5234455 5383104 5462040 6281346 6293220 6712768 6728880 7237203 7282720 7832882 8375128 8390960 8739264 8971840 9649604 10069152 10468910 10924080 11749323 12062005 12562692 12586440 13457760 14474406 14565440 15665764 15703365 16750256 16781920 19299208 19582205 20138304 20937820 21848160 23498646 24124010 25125384 25172880 26915520 28948812 31331528 31406730 33500512 33563840 36186015 38598416 39164410 41875640 43696320 46997292 48248020 50250768 50345760 55485223 57897624 58746615 62663056 62813460 67001024 72372030 77196832 78328820 83751280 90078143 93994584 96496040 100501536 100691520 110970446 115795248 117493230 125326112 125626920 144744060 154393664 156657640 166455669 167502560 180156286 187989168 192992080 201003072 207571373 221940892 231590496 234986460 250652224 251253840 270234429 277426115 289488120 313315280 332911338 335005120 360312572 375978336 385984160 415142746 443881784 450390715 463180992 469972920 502507680 540468858 554852230 578976240 622714119 626630560 665822676 720625144 751956672 771968320 830285492 832278345 887763568 900781430 939945840 1005015360 1037856865 1080937716 1109704460 1157952480 1245428238 1253261120 1331645352 1351172145 1441250288 1660570984 1664556690 1775527136 1801562860 1879891680 2071797289 2075713730 2161875432 2219408920 2315904960 2490856476 2663290704 2702344290 2882500576 3113570595 3321141968 3329113380 3551054272 3603125720 3759783360 4143594578 4151427460 4323750864 4438817840 4774141579 4981712952 5326581408 5404688580 5765001152 6215391867 6227141190 6642283936 6658226760 7206251440 8287189156 8302854920 8647501728 8877635680 9548283158 9963425904 10358986445 10653162816 10809377160 12430783734 12454282380 13284567872 13316453520 14322424737 14412502880 16574378312 16605709840 17295003456 17755271360 19096566316 19926851808 20717972890 21618754320 23870707895 24861567468 24908564760 26632907040 28644849474 28825005760 31076959335 33148756624 33211419680 38193132632 39853703616 41435945780 43237508640 47741415790 49723134936 49817129520 53265814080 57289698948 62153918670 66297513248 66422839360 71612123685 76386265264 82871891560 86475017280 95482831580 99446269872 99634259040 109805256317 114579397896 124307837340 132595026496 143224247370 152772530528 165743783120 190965663160 198892539744 199268518080 219610512634 229158795792 248615674680 286448494740 305545061056 329415768951 331487566240 381931326320 397785079488 439221025268 458317591584 497231349360 549026281585 572896989480 658831537902 662975132480 763862652640 878442050536 916635183168 994462698720 1098052563170 1145793978960 1317663075804 1527725305280 1647078844755 1756884101072 1988925397440 2196105126340 2291587957920 2635326151608 3294157689510 3513768202144 4392210252680 4583175915840 5270652303216 6588315379020 7027536404288 8784420505360 10541304606432 13176630758040 17568841010720 21082609212864 26353261516080 35137682021440 52706523032160 105413046064320
• Sum of all divisors σ(n): 356652234325296
• Sum of proper divisors (its aliquot sum) s(n): 251239188260976
• 105413046064320 is an abundant number, because the sum of its proper divisors (251239188260976) is greater than itself. Its abundance is 145826142196656

Bases of 105413046064320

• Binary: 10111111101111101100011001010100101010011000000₂
• Hexadecimal: 0x5FDF632A54C0
• Base-36: 11D631XXHC

Squares and roots of 105413046064320

• 105413046064320 squared (105413046064320²) is 11111910280558450241577062400
• 105413046064320 cubed (105413046064320³) is 1171340310267098890249593510854307053568000
• The square root of 105413046064320 is 10267085.5681795113
• The cube root of 105413046064320 is 47238.7199730693

Scales and comparisons

• 105,413,046,064,320 seconds is equal to 3,351,808 years, 41 weeks, 4 days, 12 hours, 32 minutes.
• To count from 1 to 105,413,046,064,320 would take you about eight million, three hundred seventy-nine thousand, five hundred twenty-two 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 105413046064320 cubic inches would be around 3936.6 feet tall.

Recreational maths with 105413046064320

• 105413046064320 backwards is 023460640314501
• The number of decimal digits it has is: 15
• The sum of 105413046064320's digits is 39
• More coming soon!