138431345811451875

Names of 138431345811451875

• Cardinal: 138431345811451875 can be written as One hundred thirty-eight quadrillion, four hundred thirty-one trillion, three hundred forty-five billion, eight hundred eleven million, four hundred fifty-one thousand, eight hundred seventy-five.

Scientific notation

• Scientific notation: 1.38431345811451875 × 10¹⁷

Factors of 138431345811451875

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 839

Divisors of 138431345811451875

• Number of divisors d(n): 640
• Complete list of divisors:
  1 3 5 7 9 13 15 21 25 27 35 39 45 63 65 75 91 105 117 125 135 169 175 189 195 225 273 315 325 351 375 455 507 525 585 625 675 811 819 845 875 945 975 1125 1183 1365 1521 1575 1625 1755 1875 2197 2275 2433 2457 2535 2625 2925 3375 3549 4055 4095 4225 4375 4563 4725 4875 5625 5677 5915 6591 6825 7299 7605 7875 8125 8775 10543 10647 10985 11375 12165 12285 12675 13125 14625 15379 16875 17031 17745 19773 20275 20475 21125 21897 22815 23625 24375 28385 29575 31629 31941 32955 34125 36495 38025 39375 43875 46137 51093 52715 53235 54925 56875 59319 60825 61425 63375 73125 73801 76895 85155 88725 94887 98865 101375 102375 105625 109485 114075 118125 137059 138411 141925 147875 153279 158145 159705 164775 170625 182475 190125 219375 221403 230685 255465 263575 266175 274625 284661 296595 304125 307125 316875 369005 384475 411177 415233 425775 443625 474435 494325 506875 511875 547425 570375 657721 664209 685295 692055 709625 739375 766395 790725 798525 823875 912375 950625 959413 1107015 1153425 1233531 1277325 1317875 1330875 1373125 1423305 1482975 1520625 1535625 1781767 1845025 1922375 1973163 1992627 2055885 2076165 2128875 2218125 2372175 2471625 2737125 2851875 2878239 3288605 3321045 3426475 3460275 3548125 3700593 3831975 3953625 3992625 4119375 4561875 4604047 4797065 5345301 5535075 5767125 5919489 6167655 6386625 6589375 6654375 7116525 7414875 8550373 8634717 8908835 9225125 9611875 9865815 9963135 10279425 10380825 10644375 11860875 12358125 12472369 13685625 13812141 14391195 16035903 16443025 16605225 17132375 17301375 17758467 18502965 19159875 19768125 19963125 23020235 23985325 25651119 25904151 26726505 27675375 28835625 29597445 30838275 31933125 35582625 37074375 37417107 41436423 42751865 43173585 44544175 46125625 48107709 49329075 49815675 51397125 51904125 59304375 59852611 62361845 69060705 71955975 76953357 80179515 82215125 83026125 85661875 86506875 88792335 92514825 95799375 111154849 112251321 115101175 119926625 124309269 128255595 129520755 133632525 138376875 147987225 154191375 177913125 179557833 187085535 207182115 213759325 215867925 222720875 230860071 240538545 246645375 249078375 256985625 259520625 299263055 311809225 333464547 336753963 345303525 359779875 384766785 400897575 411075625 415130625 443961675 462574125 533411731 538673499 555774245 561256605 575505875 599633125 621546345 641277975 647603775 668162625 739936125 770956875 778083943 897789165 935427675 1000393641 1035910575 1068796625 1079339625 1113604375 1154300355 1202692725 1233226875 1245391875 1445013037 1496315275 1559046125 1600235193 1616020497 1667322735 1683769815 1726517625 1798899375 1923833925 2004487875 2219808375 2312870625 2334251829 2667058655 2693367495 2778871225 2806283025 2877529375 3001180923 3107731725 3206389875 3238018875 3340813125 3699680625 3733882117 3890419715 4335039111 4488945825 4677138375 4800705579 5001968205 5179552875 5343983125 5396698125 5771501775 6013463625 6934352503 7002755487 7225065185 7481576375 7795230625 8001175965 8080102485 8336613675 8418849075 8632588125 9619169625 10022439375 10115091259 11099041875 11201646351 11671259145 13005117333 13335293275 13466837475 13894356125 14031415125 14402116737 15005904615 15538658625 16031949375 16190094375 18669410585 19452098575 20803057509 21008266461 21675195555 22444729125 23385691875 24003527895 25009841025 25897764375 28857508875 30067318125 30345273777 33604939053 34671762515 35013777435 36125325925 37407881875 39015351999 40005879825 40400512425 41683068375 42094245375 48095848125 48540467521 50575456295 56008231755 58356295725 62409172527 65025586665 66676466375 67334187375 69471780625 70157075625 72010583685 75029523075 77693293125 90146582539 91035821331 93347052925 97260492875 100814817159 104015287545 105041332305 108375977775 112223645625 120017639475 125049205125 144287544375 145621402563 151726368885 168024695265 173358812575 175068887175 180626629625 187227517581 195076759995 200029399125 202002562125 208415341875 210471226875 242702337605 252877281475 270439747617 273107463993 280041158775 291781478625 312045862635 325127933325 333382331875 336670936875 360052918425 375147615375 436864207689 450732912695 455179106655 466735264625 486302464375 504074085795 520076437725 525206661525 541879888875 600088197375 625246025625 631026077773 728107012815 758631844425 811319242851 840123476325 866794062875 875344435875 903133148125 936137587905 975383799975 1000146995625 1010012810625 1171905573007 1213511688025 1264386407375 1310592623067 1352198738085 1365537319965 1400205793875 1458907393125 1560229313175 1625639666625 1800264592125 1875738076875 1893078233319 2184321038445 2253664563475 2275895533275 2333676323125 2433957728553 2520370428975 2600382188625 2626033307625 2709399444375 3000440986875 3155130388865 3515716719021 3640535064075 3793159222125 4056596214255 4200617381625 4333970314375 4376722179375 4680687939525 4876918999875 5679234699957 5859527865035 6067558440125 6321932036875 6552963115335 6760993690425 6827686599825 7001028969375 7801146565875 8128198333125 8203339011049 9001322960625 9465391166595 10547150157063 10921605192225 11268322817375 11379477666375 12169788642765 12601852144875 13001910943125 13130166538125 15775651944325 17037704099871 17578583595105 18202675320375 18965796110625 20282981071275 21003086908125 23403439697625 24384594999375 24610017033147 28396173499785 29297639325175 30337792200625 31641450471189 32764815576675 33804968452125 34138432999125 39005732829375 41016695055245 47326955832975 52735750785315 54608025961125 56341614086875 56897388331875 60848943213825 63009260724375 73830051099441 78878259721625 85188520499355 87892917975525 91013376601875 101414905356375 117017198488125 123050085165735 141980867498925 146488196625875 158207252355945 163824077883375 169024842260625 170692164995625 205083475276225 221490153298323 236634779164875 263678753926575 273040129805625 304244716069125 369150255497205 394391298608125 425942602496775 439464589877625 507074526781875 615250425828675 709904337494625 732440983129375 791036261779725 819120389416875 1025417376381125 1107450766491615 1183173895824375 1318393769632875 1521223580345625 1845751277486025 2129713012483875 2197322949388125 3076252129143375 3549521687473125 3955181308898625 5127086881905625 5537253832458075 6591968848164375 9228756387430125 10648565062419375 15381260645716875 19775906544493125 27686269162290375 46143781937150625 138431345811451875
• Sum of all divisors σ(n): 317670120101734400
• Sum of proper divisors (its aliquot sum) s(n): 179238774290282525
• 138431345811451875 is an abundant number, because the sum of its proper divisors (179238774290282525) is greater than itself. Its abundance is 40807428478830650

Bases of 138431345811451875

• Binary: 111101011110011101001001101011000110111101110111111100011₂
• Hexadecimal: 0x1EBCE9358DEEFE3
• Base-36: 11V1TEC0PGIR

Squares and roots of 138431345811451875

• 138431345811451875 squared (138431345811451875²) is 19163237503169774576497895441015625
• 138431345811451875 cubed (138431345811451875³) is 2652792757668278660988841078995709323931705810546875
• The square root of 138431345811451875 is 372063631.4012051825
• The cube root of 138431345811451875 is 517302.7816247745

Scales and comparisons

• 138,431,345,811,451,875 seconds is equal to 4,401,688,600 years, 27 weeks, 6 days, 12 hours, 11 minutes, 15 seconds.
• To count from 1 to 138,431,345,811,451,875 would take you about thirteen billion, two hundred five million, sixty-five thousand, eight hundred one 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 138431345811451875 cubic inches would be around 43108.6 feet tall.

Recreational maths with 138431345811451875

• 138431345811451875 backwards is 578154118543134831
• The number of decimal digits it has is: 18
• The sum of 138431345811451875's digits is 72
• More coming soon!