990138123293184

Names of 990138123293184

• Cardinal: 990138123293184 can be written as Nine hundred ninety trillion, one hundred thirty-eight billion, one hundred twenty-three million, two hundred ninety-three thousand, one hundred eighty-four.

Scientific notation

• Scientific notation: 9.90138123293184 × 10¹⁴

Factors of 990138123293184

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 239

Divisors of 990138123293184

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 64 72 81 82 96 108 123 128 144 162 164 192 193 216 243 246 256 288 324 328 369 384 386 432 486 492 512 576 579 648 656 729 738 768 772 864 972 984 1107 1152 1158 1296 1312 1458 1476 1536 1544 1728 1737 1944 1968 2187 2214 2304 2316 2592 2624 2916 2952 3088 3321 3456 3474 3888 3936 4374 4428 4608 4632 5184 5211 5248 5832 5904 6176 6561 6642 6912 6948 7776 7872 7913 8748 8856 9264 9963 10368 10422 10496 11664 11808 12352 13122 13284 13824 13896 15552 15633 15744 15826 17496 17712 18528 19926 20736 20844 20992 23328 23616 23739 24704 26244 26568 27792 29889 31104 31266 31488 31652 34992 35424 37056 37249 39852 41472 41688 46656 46899 47232 47478 49408 52488 53136 55584 59778 62208 62532 62976 63304 69984 70848 71217 74112 74498 79704 83376 89667 93312 93798 94464 94956 98816 104976 106272 111168 111747 119556 124416 125064 126608 139968 140697 141696 142434 148224 148996 159408 166752 179334 186624 187596 188928 189912 209952 212544 213651 222336 223494 239112 250128 253216 269001 279936 281394 283392 284868 296448 297992 318816 333504 335241 358668 373248 375192 379824 419904 422091 425088 427302 444672 446988 478224 500256 506432 538002 559872 562788 566784 569736 595984 637632 640953 667008 670482 717336 750384 759648 839808 844182 850176 854604 889344 893976 956448 1000512 1005723 1012864 1076004 1119744 1125576 1139472 1191968 1266273 1275264 1281906 1334016 1340964 1434672 1500768 1519296 1527209 1679616 1688364 1700352 1709208 1787952 1912896 1922859 2001024 2011446 2025728 2152008 2251152 2278944 2383936 2532546 2550528 2563812 2668032 2681928 2869344 3001536 3017169 3038592 3054418 3359232 3376728 3418416 3575904 3825792 3845718 4002048 4022892 4051456 4304016 4502304 4557888 4581627 4767872 5065092 5101056 5127624 5363856 5738688 5768577 6003072 6034338 6077184 6108836 6753456 6836832 7151808 7189057 7651584 7691436 8004096 8045784 8608032 9004608 9051507 9115776 9163254 9535744 10130184 10255248 10727712 11477376 11537154 12006144 12068676 12154368 12217672 13506912 13673664 13744881 14303616 14378114 15303168 15382872 16091568 17216064 17305731 18009216 18103014 18231552 18326508 19071488 20260368 20510496 21455424 21567171 22954752 23074308 24012288 24137352 24435344 27013824 27154521 27347328 27489762 28607232 28756228 30765744 32183136 34432128 34611462 36018432 36206028 36463104 36653016 40520736 41020992 41234643 42910848 43134342 45909504 46148616 48274704 48870688 51917193 54027648 54309042 54694656 54979524 57214464 57512456 61531488 64366272 64701513 68864256 69222924 72036864 72412056 73306032 81041472 81463563 82041984 82469286 85821696 86268684 92297232 96549408 97741376 103834386 108055296 108618084 109389312 109959048 115024912 123062976 123703929 128732544 129403026 137728512 138445848 144824112 146612064 162082944 162927126 164083968 164938572 171643392 172537368 184594464 193098816 194104539 195482752 207668772 216110592 217236168 219918096 230049824 244390689 246125952 247407858 257465088 258806052 276891696 289648224 293224128 294751337 324165888 325854252 328167936 329877144 345074736 369188928 371111787 386197632 388209078 390965504 415337544 434472336 439836192 460099648 488781378 492251904 494815716 514930176 517612104 553783392 579296448 582313617 586448256 589502674 648331776 651708504 659754288 690149472 738377856 742223574 772395264 776418156 781931008 830675088 868944672 879672384 884254011 920199296 977562756 984503808 989631432 1035224208 1107566784 1113335361 1158592896 1164627234 1172896512 1179005348 1303417008 1319508576 1380298944 1476755712 1484447148 1544790528 1552836312 1661350176 1737889344 1746940851 1759344768 1768508022 1840398592 1955125512 1979262864 2070448416 2215133568 2226670722 2317185792 2329254468 2345793024 2358010696 2606834016 2639017152 2652762033 2760597888 2953511424 2968894296 3105672624 3322700352 3340006083 3475778688 3493881702 3518689536 3537016044 3680797184 3910251024 3958525728 4140896832 4430267136 4453341444 4634371584 4658508936 4716021392 5213668032 5240822553 5278034304 5305524066 5521195776 5937788592 6211345248 6645400704 6680012166 6951557376 6987763404 7037379072 7074032088 7820502048 7917051456 7958286099 8281793664 8860534272 8906682888 9317017872 9432042784 10020018249 10427336064 10481645106 10556068608 10611048132 11042391552 11875577184 12422690496 13290801408 13360024332 13903114752 13975526808 14148064176 15641004096 15722467659 15834102912 15916572198 16563587328 17813365776 18634035744 18864085568 20040036498 20854672128 20963290212 21112137216 21222096264 23751154368 23874858297 24845380992 26581602816 26720048664 27951053616 28296128352 31282008192 31444935318 31668205824 31833144396 33127174656 35626731552 37268071488 37728171136 40080072996 41709344256 41926580424 42444192528 47167402977 47502308736 47749716594 49690761984 53440097328 55902107232 56592256704 62564016384 62889870636 63336411648 63666288792 71253463104 71624574891 74536142976 75456342272 80160145992 83853160848 84888385056 94334805954 95004617472 95499433188 99381523968 106880194656 111804214464 113184513408 125128032768 125779741272 127332577584 142506926208 143249149782 149072285952 150912684544 160320291984 167706321696 169776770112 188669611908 190009234944 190998866376 213760389312 214873724673 223608428928 226369026816 251559482544 254665155168 285013852416 286498299564 298144571904 320640583968 335412643392 339553540224 377339223816 381997732752 427520778624 429747449346 447216857856 452738053632 503118965088 509330310336 570027704832 572996599128 641281167936 644621174019 670825286784 679107080448 754678447632 763995465504 855041557248 859494898692 894433715712 1006237930176 1018660620672 1145993198256 1282562335872 1289242348038 1341650573568 1358214160896 1509356895264 1527990931008 1710083114496 1718989797384 1933863522057 2012475860352 2037321241344 2291986396512 2565124671744 2578484696076 2683301147136 3018713790528 3055981862016 3437979594768 3867727044114 4024951720704 4074642482688 4583972793024 5130249343488 5156969392152 6037427581056 6111963724032 6875959189536 7735454088228 8049903441408 9167945586048 10313938784304 12074855162112 12223927448064 13751918379072 15470908176456 18335891172096 20627877568608 24149710324224 27503836758144 30941816352912 36671782344192 41255755137216 55007673516288 61883632705824 82511510274432 110015347032576 123767265411648 165023020548864 247534530823296 330046041097728 495069061646592 990138123293184
• Sum of all divisors σ(n): 3055569475959000
• Sum of proper divisors (its aliquot sum) s(n): 2065431352665816
• 990138123293184 is an abundant number, because the sum of its proper divisors (2065431352665816) is greater than itself. Its abundance is 1075293229372632

Bases of 990138123293184

• Binary: 11100001001000011001111111000111100001001000000000₂
• Hexadecimal: 0x384867F1E1200
• Base-36: 9QZ36A0000

Squares and roots of 990138123293184

• 990138123293184 squared (990138123293184²) is 980373503198548439993220857856
• 990138123293184 cubed (990138123293184³) is 970705180583375073861229058752962108277653504
• The square root of 990138123293184 is 31466460.2917643725
• The cube root of 990138123293184 is 99670.1841876339

Scales and comparisons

• 990,138,123,293,184 seconds is equal to 31,483,329 years, 32 weeks, 2 days, 13 hours, 26 minutes, 24 seconds.
• To count from 1 to 990,138,123,293,184 would take you about seventy-eight million, seven hundred eight thousand, three hundred twenty-four 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 990138123293184 cubic inches would be around 8305.8 feet tall.

Recreational maths with 990138123293184

• 990138123293184 backwards is 481392321831099
• The number of decimal digits it has is: 15
• The sum of 990138123293184's digits is 63
• More coming soon!