990257996824432

Names of 990257996824432

• Cardinal: 990257996824432 can be written as Nine hundred ninety trillion, two hundred fifty-seven billion, nine hundred ninety-six million, eight hundred twenty-four thousand, four hundred thirty-two.

Scientific notation

• Scientific notation: 9.90257996824432 × 10¹⁴

Factors of 990257996824432

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 390

Divisors of 990257996824432

• Number of divisors d(n): 540
• Complete list of divisors:
  1 2 4 7 8 14 16 19 28 38 49 56 76 79 98 112 133 152 158 196 266 283 304 316 343 361 392 532 553 566 632 686 722 784 931 1064 1106 1132 1264 1372 1444 1501 1862 1981 2128 2212 2264 2527 2744 2888 3002 3724 3871 3962 4424 4528 5054 5377 5488 5776 6004 6241 6517 7448 7742 7924 8848 10108 10507 10754 12008 12482 13034 13867 14896 15484 15848 17689 20216 21014 21508 22357 24016 24964 26068 27097 27734 28519 30968 31696 35378 37639 40432 42028 43016 43687 44714 49928 52136 54194 55468 57038 61936 70756 73549 75278 80089 84056 86032 87374 89428 97069 99856 102163 104272 108388 110936 114076 118579 123823 141512 147098 150556 156499 160178 168112 174748 178856 194138 199633 204326 216776 221872 228152 237158 247646 263473 283024 294196 301112 305809 312998 320356 349496 357712 388276 399266 408652 424783 433552 456304 474316 495292 514843 526946 560623 588392 602224 611618 625996 640712 698992 715141 776552 798532 817304 830053 849566 948632 990584 1029686 1053892 1095493 1121246 1176784 1223236 1251992 1281424 1397431 1430282 1521691 1553104 1597064 1634608 1660106 1699132 1766203 1844311 1897264 1981168 2059372 2107784 2140663 2190986 2242492 2253001 2446472 2503984 2794862 2860564 2973481 3043382 3194128 3320212 3398264 3532406 3688622 3924361 4118744 4215568 4281326 4381972 4484984 4506002 4892944 5005987 5589724 5721128 5810371 5946962 6086764 6327031 6640424 6796528 7064812 7377244 7668451 7848722 8070877 8237488 8562652 8763944 8969968 9012004 9782017 10011974 10651837 11179448 11442256 11620742 11893924 12173528 12363421 12654062 13280848 14129624 14754488 15336902 15697444 15771007 16141754 17125304 17527888 18024008 19564034 20023948 20814367 21303674 22358896 23241484 23787848 24347056 24726842 25308124 27470527 28259248 28912129 29508976 30673804 31394888 31542014 32283508 33557857 34250608 35041909 36048016 39128068 40047896 40672597 41628734 42607348 44289217 46482968 47575696 49453684 50616248 54941054 56496139 57824258 61347608 62789776 63084028 64567016 67115714 70083818 74562859 78256136 80095792 81345194 83257468 85214696 86543947 88578434 92965936 98907368 101232496 109882108 110397049 112992278 115648516 120213589 122695216 126168056 129134032 134231428 140167636 145700569 149125718 156512272 162690388 166514936 170429392 173087894 177156868 197814736 202384903 219764216 220794098 225984556 231297032 234904999 240427178 252336112 268462856 280335272 291401138 298251436 310024519 325380776 333029872 346175788 354313736 395472973 404769806 439528432 441588196 451969112 462594064 469809998 480854356 499835449 521940013 536925712 560670544 582802276 596502872 605807629 620049038 637599283 650761552 692351576 708627472 772779343 790945946 809539612 841495123 883176392 903938224 939619996 961708712 999670898 1043880026 1165604552 1193005744 1211615258 1240098076 1275198566 1384703152 1416694321 1545558686 1581891892 1619079224 1644334993 1682990246 1766352784 1879239992 1923417424 1999341796 2087760052 2170171633 2284058191 2331209104 2423230516 2480196152 2550397132 2768310811 2833388642 3091117372 3163783784 3238158448 3288669986 3365980492 3498848143 3758479984 3998683592 4175520104 4340343266 4463194981 4568116382 4846461032 4960392304 5100794264 5536621622 5666777284 5890465861 6182234744 6327567568 6577339972 6731960984 6997696286 7997367184 8351040208 8680686532 8926389962 9136232764 9496873531 9692922064 9916860247 10201588528 11073243244 11333554568 11510344951 11780931722 12364469488 13154679944 13463921968 13995392572 15988407337 17361373064 17852779924 18272465528 18993747062 19833720494 22146486488 22667109136 23020689902 23561863444 24491937001 26309359888 27990785144 31242364867 31976814674 34722746128 35705559848 36544931056 37987494124 39667440988 41233261027 44292972976 46041379804 47123726888 48983874002 55981570288 62484729734 63953629348 66478114717 71411119696 75974988248 79334881976 82466522054 92082759608 94247453776 97967748004 111918851359 124969459468 127907258696 132956229434 151949976496 158669763952 164933044108 171443559007 180440597089 184165519216 195935496008 218696554069 223837702718 249938918936 255814517392 265912458868 329866088216 342887118014 360881194178 391870992016 437393108138 447675405436 465346803019 499877837872 531824917736 659732176432 685774236028 721762388356 783431959513 874786216276 895350810872 930693606038 1063649835472 1263084179623 1371548472056 1443524776712 1566863919026 1749572432552 1790701621744 1861387212076 2526168359246 2743096944112 2887049553424 3133727838052 3257427621133 3499144865104 3722774424152 5052336718492 6267455676104 6514855242266 7445548848304 8841589257361 10104673436984 12534911352208 13029710484532 17683178514722 20209346873968 26059420969064 35366357029444 52118841938128 61891124801527 70732714058888 123782249603054 141465428117776 247564499206108 495128998412216 990257996824432
• Sum of all divisors σ(n): 2400173465785200
• Sum of proper divisors (its aliquot sum) s(n): 1409915468960768
• 990257996824432 is an abundant number, because the sum of its proper divisors (1409915468960768) is greater than itself. Its abundance is 419657472136336

Bases of 990257996824432

• Binary: 11100001001010001001101000001000101111111101110000₂
• Hexadecimal: 0x384A26822FF70
• Base-36: 9R0M8RLSOG

Squares and roots of 990257996824432

• 990257996824432 squared (990257996824432²) is 980610900274736776996232122624
• 990257996824432 cubed (990257996824432³) is 971057785770263695951089511833026142823149568
• The square root of 990257996824432 is 31468365.0167025995
• The cube root of 990257996824432 is 99674.2062981275

Scales and comparisons

• 990,257,996,824,432 seconds is equal to 31,487,141 years, 11 weeks, 6 days, 16 hours, 33 minutes, 52 seconds.
• To count from 1 to 990,257,996,824,432 would take you about seventy-eight million, seven hundred seventeen thousand, eight hundred fifty-three 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 990257996824432 cubic inches would be around 8306.2 feet tall.

Recreational maths with 990257996824432

• 990257996824432 backwards is 234428699752099
• 990257996824432 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 990257996824432's digits is 79
• More coming soon!