42134993921664

Names of 42134993921664

• Cardinal: 42134993921664 can be written as Forty-two trillion, one hundred thirty-four billion, nine hundred ninety-three million, nine hundred twenty-one thousand, six hundred sixty-four.

Scientific notation

• Scientific notation: 4.2134993921664 × 10¹³

Factors of 42134993921664

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 1100

Divisors of 42134993921664

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 64 72 81 84 96 98 108 112 126 128 144 147 162 168 189 192 196 216 224 252 288 294 324 331 336 378 384 392 432 441 448 504 567 576 588 648 662 672 756 757 784 864 882 896 993 1008 1134 1152 1176 1296 1323 1324 1344 1512 1514 1568 1728 1764 1986 2016 2268 2271 2317 2352 2592 2646 2648 2688 2979 3024 3028 3136 3456 3528 3969 3972 4032 4536 4542 4634 4704 5184 5292 5296 5299 5958 6048 6056 6272 6813 6951 7056 7938 7944 8064 8937 9072 9084 9268 9408 10368 10584 10592 10598 11916 12096 12112 13626 13902 14112 15876 15888 15897 16219 17874 18144 18168 18536 18816 20439 20853 21168 21184 21196 23832 24192 24224 26811 27252 27804 28224 31752 31776 31794 32438 35748 36288 36336 37072 37093 40878 41706 42336 42368 42392 47664 47691 48448 48657 53622 54504 55608 56448 61317 62559 63504 63552 63588 64876 71496 72576 72672 74144 74186 81756 83412 84672 84784 95328 95382 96896 97314 107244 109008 109561 111216 111279 122634 125118 127008 127104 127176 129752 142992 143073 145344 145971 148288 148372 163512 166824 169344 169568 187677 190656 190764 194628 214488 218016 219122 222432 222558 245268 250236 250567 254016 254352 259504 285984 286146 290688 291942 296576 296744 327024 328683 333648 333837 339136 375354 381312 381528 389256 428976 429219 436032 437913 438244 444864 445116 490536 500472 501134 508032 508704 519008 571968 572292 583884 593488 654048 657366 667296 667674 678272 750708 751701 763056 766927 778512 857952 858438 872064 875826 876488 889728 890232 981072 986049 1000944 1001511 1002268 1017408 1038016 1143936 1144584 1167768 1186976 1308096 1313739 1314732 1334592 1335348 1501416 1503402 1526112 1533854 1557024 1715904 1716876 1751652 1752976 1753969 1780464 1962144 1972098 2001888 2003022 2004536 2034816 2076032 2255103 2289168 2300781 2335536 2373952 2616192 2627478 2629464 2669184 2670696 2958147 3002832 3004533 3006804 3052224 3067708 3114048 3431808 3433752 3503304 3505952 3507938 3560928 3924288 3944196 4003776 4006044 4009072 4510206 4578336 4601562 4671072 4747904 5254956 5258928 5261907 5341392 5368489 5916294 6005664 6009066 6013608 6104448 6135416 6228096 6765309 6867504 6902343 7006608 7011904 7015876 7121856 7848576 7888392 8007552 8012088 8018144 8874441 9020412 9156672 9203124 9342144 10509912 10517856 10523814 10682784 10736978 11832588 12011328 12018132 12027216 12270832 12277783 13530618 13735008 13804686 14013216 14023808 14031752 14243712 15776784 15785721 16024176 16036288 16105467 17748882 18040824 18313344 18406248 18684288 20295927 20707029 21019824 21035712 21047628 21365568 21473956 23665176 24022656 24036264 24054432 24541664 24555566 27061236 27470016 27609372 28026432 28063504 31553568 31571442 32048352 32072576 32210934 35497764 36081648 36812496 36833349 40591854 41414058 42039648 42071424 42095256 42731136 42947912 47330352 47357163 48072528 48108864 48316401 49083328 49111132 54122472 54940032 55218744 56052864 56127008 62121087 63107136 63142884 64096704 64421868 70995528 72163296 73624992 73666698 81183708 82828116 82937677 84079296 84190512 85895824 94660704 94714326 96145056 96217728 96632802 98166656 98222264 108244944 110437488 110500047 112254016 124242174 126214272 126285768 128193408 128843736 141991056 142071489 144326592 144949203 147249984 147333396 162367416 165656232 165875354 168158592 168381024 171791648 189321408 189428652 192290112 193265604 196444528 216489888 220874976 221000094 224508032 248484348 248813031 252571536 257687472 283982112 284142978 288653184 289898406 294499968 294666792 324734832 331312464 331500141 331750708 336762048 343583296 378642816 378857304 384580224 386531208 392889056 432979776 434847609 441749952 442000188 496968696 497626062 505143072 515374944 567964224 568285956 579796812 580563739 589333584 649469664 662624928 663000282 663501416 673524096 687166592 746439093 757714608 773062416 785778112 865959552 869695218 883499904 884000376 993937392 994500423 995252124 1010286144 1030749888 1135928448 1136571912 1159593624 1161127478 1178667168 1298939328 1325249856 1326000564 1327002832 1492878186 1515429216 1546124832 1571556224 1739390436 1741691217 1768000752 1987874784 1989000846 1990504248 2020572288 2061499776 2239317279 2273143824 2319187248 2322254956 2357334336 2597878656 2650499712 2652001128 2654005664 2985756372 3030858432 3092249664 3478780872 3483382434 3536001504 3975749568 3978001692 3981008496 4063946173 4478634558 4546287648 4638374496 4644509912 4714668672 5225073651 5304002256 5308011328 5971512744 6061716864 6184499328 6717951837 6957561744 6966764868 7072003008 7951499136 7956003384 7962016992 8127892346 8957269116 9092575296 9276748992 9289019824 10450147302 10608004512 10616022656 11943025488 12191838519 13435903674 13915123488 13933529736 14144006016 15675220953 15912006768 15924033984 16255784692 17914538232 18185150592 18553497984 18578039648 20900294604 21216009024 23886050976 24383677038 26871807348 27830246976 27867059472 31350441906 31824013536 31848067968 32511569384 35829076464 36575515557 37156079296 41800589208 42432018048 47025662859 47772101952 48767354076 53743614696 55660493952 55734118944 62700883812 63648027072 65023138768 71658152928 73151031114 74312158592 83601178416 94051325718 95544203904 97534708152 107487229392 109726546671 111468237888 125401767624 127296054144 130046277536 143316305856 146302062228 167202356832 188102651436 195069416304 214974458784 219453093342 222936475776 250803535248 260092555072 286632611712 292604124456 329179640013 334404713664 376205302872 390138832608 429948917568 438906186684 501607070496 520185110144 585208248912 658359280026 668809427328 752410605744 780277665216 859897835136 877812373368 1003214140992 1170416497824 1316718560052 1504821211488 1560555330432 1755624746736 2006428281984 2340832995648 2633437120104 3009642422976 3511249493472 4681665991296 5266874240208 6019284845952 7022498986944 10533748480416 14044997973888 21067496960832 42134993921664
• Sum of all divisors σ(n): 146500680339090
• Sum of proper divisors (its aliquot sum) s(n): 104365686417426
• 42134993921664 is an abundant number, because the sum of its proper divisors (104365686417426) is greater than itself. Its abundance is 62230692495762

Bases of 42134993921664

• Binary: 1001100101001001010001010110000110011010000000₂
• Hexadecimal: 0x265251586680
• Base-36: EXOJRHK00

Squares and roots of 42134993921664

• 42134993921664 squared (42134993921664²) is 1775357712778662226168528896
• 42134993921664 cubed (42134993921664³) is 74804686436708234439408323872648744402944
• The square root of 42134993921664 is 6491147.3501734653
• The cube root of 42134993921664 is 34797.4680859469

Scales and comparisons

• 42,134,993,921,664 seconds is equal to 1,339,762 years, 24 weeks, 4 days, 18 hours, 14 minutes, 24 seconds.
• To count from 1 to 42,134,993,921,664 would take you about three million, three hundred forty-nine thousand, four hundred 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 42134993921664 cubic inches would be around 2899.8 feet tall.

Recreational maths with 42134993921664

• 42134993921664 backwards is 46612939943124
• 42134993921664 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 42134993921664's digits is 63
• More coming soon!