312042131604552960

Names of 312042131604552960

• Cardinal: 312042131604552960 can be written as Three hundred twelve quadrillion, forty-two trillion, one hundred thirty-one billion, six hundred four million, five hundred fifty-two thousand, nine hundred sixty.

Scientific notation

• Scientific notation: 3.1204213160455296 × 10¹⁷

Factors of 312042131604552960

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 13769913

Divisors of 312042131604552960

• Number of divisors d(n): 648
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 64 65 72 78 80 90 96 104 117 120 128 130 144 156 160 180 192 195 208 234 240 256 260 288 312 320 360 384 389 390 416 468 480 520 576 585 624 640 720 768 778 780 832 936 960 1040 1152 1167 1170 1248 1280 1440 1556 1560 1664 1872 1920 1945 2080 2304 2334 2340 2496 2880 3112 3120 3328 3501 3744 3840 3890 4160 4668 4680 4992 5057 5760 5835 6224 6240 7002 7488 7780 8320 9336 9360 9984 10114 11520 11670 12448 12480 14004 14976 15171 15560 16640 17505 18672 18720 20228 23340 24896 24960 25285 28008 29952 30342 31120 35010 37344 37440 40456 45513 46680 49792 49920 50570 56016 60684 62240 70020 74688 74880 75855 80912 91026 93360 99584 101140 112032 121368 124480 140040 149376 149760 151321 151710 161824 182052 186720 202280 224064 227565 242736 248960 280080 298752 302642 303420 323648 364104 373440 404560 448128 453963 455130 485472 497920 560160 605284 606840 647296 728208 746880 756605 809120 896256 907926 910260 970944 1120320 1210568 1213680 1294592 1361889 1456416 1493760 1513210 1618240 1815852 1820520 1941888 1967173 2240640 2269815 2421136 2427360 2723778 2912832 3026420 3236480 3631704 3641040 3883776 3934346 4481280 4539630 4842272 4854720 5447556 5825664 5901519 6052840 6472960 6809445 7263408 7282080 7868692 9079260 9684544 9709440 9835865 10895112 11651328 11803038 12105680 13618890 13769501 14526816 14564160 15737384 17704557 18158520 19369088 19418880 19671730 21790224 23606076 24211360 27237780 27539002 29053632 29128320 29507595 31474768 35409114 36317040 38738176 39343460 41308503 43580448 47212152 48422720 54475560 55078004 58107264 58256640 59015190 62949536 68847505 70818228 72634080 78686920 82617006 87160896 88522785 94424304 96845440 108951120 110156008 116214528 118030380 123925509 125899072 137695010 141636456 145268160 157373840 165234012 174321792 177045570 179003513 188848608 193690880 206542515 217902240 220312016 236060760 247851018 251798144 275390020 283272912 290536320 314747680 330468024 348643584 354091140 358007026 377697216 413085030 435804480 440624032 472121520 495702036 503596288 537010539 550780040 566545824 581072640 619627545 629495360 660936048 708182280 716014052 755394432 826170060 871608960 881248064 895017565 944243040 991404072 1074021078 1101560080 1133091648 1239255090 1258990720 1321872096 1416364560 1432028104 1510788864 1611031617 1652340120 1743217920 1762496128 1790035130 1888486080 1982808144 2148042156 2203120160 2266183296 2478510180 2517981440 2643744192 2685052695 2832729120 2864056208 3222063234 3304680240 3524992256 3580070260 3776972160 3965616288 4296084312 4406240320 4532366592 4957020360 5287488384 5356335889 5370105390 5665458240 5728112416 6444126468 6609360480 7160140520 7553944320 7931232576 8055158085 8592168624 8812480640 9914040720 10574976768 10712671778 10740210780 11330916480 11456224832 12888252936 13218720960 14320281040 15862465152 16069007667 16110316170 17184337248 17624961280 19828081440 21425343556 21480421560 22661832960 22912449664 25776505872 26437441920 26781679445 28640562080 31724930304 32138015334 32220632340 34368674496 39656162880 42850687112 42960843120 45824899328 48207023001 51553011744 52874883840 53563358890 57281124160 64276030668 64441264680 68737348992 69632366557 79312325760 80345038335 85701374224 85921686240 96414046002 103106023488 107126717780 114562248320 128552061336 128882529360 137474697984 139264733114 158624651520 160690076670 171402748448 171843372480 192828092004 206212046976 208897099671 214253435560 229124496640 241035115005 257104122672 257765058720 278529466228 321380153340 342805496896 343686744960 348161832785 385656184008 412424093952 417794199342 428506871120 482070230010 514208245344 515530117440 557058932456 626691299013 642760306680 685610993792 687373489920 696323665570 771312368016 835588398684 857013742240 964140460020 1028416490688 1031060234880 1044485498355 1114117864912 1253382598026 1285520613360 1371221987584 1392647331140 1542624736032 1671176797368 1714027484480 1928280920040 2056832981376 2062120469760 2083614660821 2088970996710 2228235729824 2506765196052 2571041226720 2785294662280 3085249472064 3133456495065 3342353594736 3428054968960 3856561840080 4113665962752 4167229321642 4177941993420 4456471459648 5013530392104 5142082453440 5570589324560 6170498944128 6250843982463 6266912990130 6684707189472 6856109937920 7713123680160 8334458643284 8355883986840 8912942919296 10027060784208 10284164906880 10418073304105 11141178649120 12340997888256 12501687964926 12533825980260 13369414378944 15426247360320 16668917286568 16711767973680 17825885838592 18752531947389 20054121568416 20568329813760 20836146608210 22282357298240 25003375929852 25067651960520 26738828757888 27086990590673 30852494720640 31254219912315 33337834573136 33423535947360 37505063894778 40108243136832 41672293216420 44564714596480 50006751859704 50135303921040 53477657515776 54173981181346 61704989441280 62508439824630 66675669146272 66847071894720 75010127789556 80216486273664 81260971772019 83344586432840 89129429192960 93762659736945 100013503719408 100270607842080 108347962362692 125016879649260 133351338292544 133694143789440 135434952953365 150020255579112 160432972547328 162521943544038 166689172865680 187525319473890 200027007438816 200541215684160 216695924725384 243782915316057 250033759298520 266702676585088 267388287578880 270869905906730 300040511158224 325043887088076 333378345731360 375050638947780 400054014877632 401082431368320 406304858860095 433391849450768 487565830632114 500067518597040 533405353170176 541739811813460 600081022316448 650087774176152 666756691462720 750101277895560 800108029755264 802164862736640 812609717720190 866783698901536 975131661264228 1000135037194080 1083479623626920 1200162044632896 1218914576580285 1300175548352304 1333513382925440 1500202555791120 1600216059510528 1625219435440380 1733567397803072 1950263322528456 2000270074388160 2166959247253840 2400324089265792 2437829153160570 2600351096704608 2667026765850880 3000405111582240 3250438870880760 3467134795606144 3900526645056912 4000540148776320 4333918494507680 4800648178531584 4875658306321140 5200702193409216 6000810223164480 6500877741761520 6934269591212288 7801053290113824 8001080297552640 8667836989015360 9751316612642280 10401404386818432 12001620446328960 13001755483523040 15602106580227648 17335673978030720 19502633225284560 20802808773636864 24003240892657920 26003510967046080 31204213160455296 34671347956061440 39005266450569120 52007021934092160 62408426320910592 78010532901138240 104014043868184320 156021065802276480 312042131604552960
• Sum of all divisors σ(n): 1165678652019491064
• Sum of proper divisors (its aliquot sum) s(n): 853636520414938104
• 312042131604552960 is an abundant number, because the sum of its proper divisors (853636520414938104) is greater than itself. Its abundance is 541594388810385144

Bases of 312042131604552960

• Binary: 10001010100100110001010101001011001001111101011110100000000₂
• Hexadecimal: 0x45498AA593EBD00
• Base-36: 2DCHPCAC9J40

Squares and roots of 312042131604552960

• 312042131604552960 squared (312042131604552960²) is 97370291896313149246999801444761600
• 312042131604552960 cubed (312042131604552960³) is 30383633438283084316334990863595789533812501774336000
• The square root of 312042131604552960 is 558607314.3135103633
• The cube root of 312042131604552960 is 678272.8165405921

Scales and comparisons

• 312,042,131,604,552,960 seconds is equal to 9,921,974,575 years, 17 weeks, 4 days, 1 hour, 36 minutes.
• To count from 1 to 312,042,131,604,552,960 would take you about twenty-nine billion, seven hundred sixty-five million, nine hundred twenty-three thousand, seven hundred twenty-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 312042131604552960 cubic inches would be around 56522.7 feet tall.

Recreational maths with 312042131604552960

• 312042131604552960 backwards is 069255406131240213
• The number of decimal digits it has is: 18
• The sum of 312042131604552960's digits is 54
• More coming soon!