13135315040640

Names of 13135315040640

• Cardinal: 13135315040640 can be written as Thirteen trillion, one hundred thirty-five billion, three hundred fifteen million, forty thousand, six hundred forty.

Scientific notation

• Scientific notation: 1.313531504064 × 10¹³

Factors of 13135315040640

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 485965

Divisors of 13135315040640

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 13 15 16 18 19 20 24 26 30 32 36 38 39 40 45 48 52 57 60 64 65 72 76 78 80 90 95 96 104 114 117 120 128 130 144 152 156 160 171 180 190 192 195 208 228 234 240 247 260 285 288 304 312 320 342 360 361 380 384 390 416 456 468 480 494 520 570 576 585 608 624 640 684 720 722 741 760 780 832 855 912 936 960 988 1040 1083 1140 1152 1170 1216 1235 1248 1368 1440 1444 1482 1520 1560 1664 1710 1805 1824 1872 1920 1976 2080 2166 2223 2280 2340 2432 2470 2496 2736 2880 2888 2964 3040 3120 3249 3420 3610 3648 3705 3744 3952 4160 4332 4446 4560 4680 4693 4940 4992 5415 5472 5760 5776 5928 6080 6240 6498 6840 7220 7296 7410 7488 7904 8320 8664 8892 9120 9360 9386 9880 10830 10944 11115 11552 11856 12160 12480 12996 13680 14079 14440 14820 14976 15808 16245 17328 17784 18240 18720 18772 19760 21660 21888 22230 23104 23465 23712 24960 25992 27360 28158 28880 29640 31616 32490 34656 35568 36480 37440 37544 39520 42237 43320 44460 46208 46930 47424 51984 54720 56316 57760 59280 64980 69312 70395 71136 74880 75088 79040 84474 86640 88920 93860 94848 103968 109440 112632 115520 118560 129960 138624 140790 142272 150176 158080 168948 173280 177840 187720 207936 211185 225264 231040 237120 259920 281580 284544 300352 337896 346560 355680 375440 415872 422370 450528 474240 485923 519840 563160 600704 675792 693120 711360 750880 844740 901056 971846 1039680 1126320 1351584 1422720 1457769 1501760 1689480 1802112 1943692 2079360 2252640 2429615 2703168 2915538 3003520 3378960 3887384 4373307 4505280 4859230 5406336 5831076 6316999 6757920 7288845 7774768 8746614 9010560 9232537 9718460 11662152 12633998 13515840 14577690 15549536 17493228 18465074 18950997 19436920 21866535 23324304 25267996 27031680 27697611 29155380 31099072 31584995 34986456 36930148 37901994 38873840 43733070 46162685 46648608 50535992 55395222 56852991 58310760 62198144 63169990 69972912 73860296 75803988 77747680 83092833 87466140 92325370 93297216 94754985 101071984 110790444 113705982 116621520 120022981 126339980 138488055 139945824 147720592 151607976 155495360 166185666 174932280 175418203 184650740 186594432 189509970 202143968 221580888 227411964 233243040 240045962 252679960 276976110 279891648 284264955 295441184 303215952 310990720 332371332 349864560 350836406 360068943 369301480 379019940 404287936 415464165 443161776 454823928 466486080 480091924 505359920 526254609 553952220 559783296 568529910 590882368 600114905 606431904 664742664 699729120 701672812 720137886 738602960 758039880 808575872 830928330 877091015 886323552 909647856 932972160 960183848 1010719840 1052509218 1080206829 1107904440 1137059820 1181764736 1200229810 1212863808 1329485328 1399458240 1403345624 1440275772 1477205920 1516079760 1578763827 1661856660 1754182030 1772647104 1800344715 1819295712 1920367696 2021439680 2105018436 2160413658 2215808880 2274119640 2280436639 2400459620 2425727616 2631273045 2658970656 2798916480 2806691248 2880551544 2954411840 3032159520 3157527654 3323713320 3508364060 3545294208 3600689430 3638591424 3840735392 4042879360 4210036872 4320827316 4431617760 4548239280 4560873278 4800919240 5262546090 5317941312 5401034145 5613382496 5761103088 5908823680 6064319040 6315055308 6647426640 6841309917 7016728120 7201378860 7277182848 7681470784 7893819135 8420073744 8641654632 8863235520 9096478560 9121746556 9601838480 10525092180 10635882624 10802068290 11226764992 11402183195 11522206176 12128638080 12630110616 13294853280 13682619834 14033456240 14402757720 15362941568 15787638270 16840147488 17283309264 17726471040 18192957120 18243493112 19203676960 20523929751 21050184360 21604136580 22453529984 22804366390 23044412352 25260221232 26589706560 27365239668 28066912480 28805515440 31575276540 33680294976 34206549585 34566618528 36385914240 36486986224 38407353920 41047859502 42100368720 43208273160 45608732780 46088824704 50520442464 53179413120 54730479336 56133824960 57611030880 63150553080 67360589952 68413099170 69133237056 72973972448 76814707840 82095719004 84200737440 86416546320 91217465560 101040884928 102619648755 109460958672 112267649920 115222061760 126301106160 136826198340 138266474112 145947944896 164191438008 168401474880 172833092640 182434931120 202081769856 205239297510 218921917344 230444123520 252602212320 273652396680 291895889792 328382876016 336802949760 345666185280 364869862240 410478595020 437843834688 505204424640 547304793360 656765752032 691332370560 729739724480 820957190040 875687669376 1010408849280 1094609586720 1313531504064 1459479448960 1641914380080 2189219173440 2627063008128 3283828760160 4378438346880 6567657520320 13135315040640
• Sum of all divisors σ(n): 51553261272240
• Sum of proper divisors (its aliquot sum) s(n): 38417946231600
• 13135315040640 is an abundant number, because the sum of its proper divisors (38417946231600) is greater than itself. Its abundance is 25282631190960

Bases of 13135315040640

• Binary: 10111111001001001101110010010111100110000000₂
• Hexadecimal: 0xBF24DC97980
• Base-36: 4NMA3FJ40

Squares and roots of 13135315040640

• 13135315040640 squared (13135315040640²) is 172536501216863404851609600
• 13135315040640 cubed (13135315040640³) is 2266321299493267544151749126193414144000
• The square root of 13135315040640 is 3624267.5178082537
• The cube root of 13135315040640 is 23594.6477380819

Scales and comparisons

• 13,135,315,040,640 seconds is equal to 417,662 years, 20 weeks, 1 day, 6 hours, 24 minutes.
• To count from 1 to 13,135,315,040,640 would take you about one million, forty-four thousand, one hundred fifty-five 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 13135315040640 cubic inches would be around 1966.2 feet tall.

Recreational maths with 13135315040640

• 13135315040640 backwards is 04604051353131
• 13135315040640 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 13135315040640's digits is 36
• More coming soon!