138233857184192

Names of 138233857184192

• Cardinal: 138233857184192 can be written as One hundred thirty-eight trillion, two hundred thirty-three billion, eight hundred fifty-seven million, one hundred eighty-four thousand, one hundred ninety-two.

Scientific notation

• Scientific notation: 1.38233857184192 × 10¹⁴

Factors of 138233857184192

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 6361

Divisors of 138233857184192

• Number of divisors d(n): 756
• Complete list of divisors:
  1 2 4 7 8 11 14 16 17 22 28 32 34 44 47 49 56 64 68 77 88 94 98 112 119 136 154 176 187 188 196 224 238 272 289 308 329 352 374 376 392 448 476 517 539 544 578 616 658 704 748 752 784 799 833 952 1034 1078 1088 1156 1232 1309 1316 1496 1504 1568 1598 1666 1904 2023 2068 2156 2209 2303 2312 2464 2618 2632 2992 3008 3136 3179 3196 3332 3619 3808 4046 4136 4312 4418 4606 4624 4928 5236 5264 5593 5984 6277 6358 6392 6664 7238 7616 8092 8272 8624 8789 8836 9163 9212 9248 10472 10528 11186 11968 12554 12716 12784 13328 13583 14161 14476 15463 16184 16544 17248 17578 17672 18326 18424 18496 20944 21056 22253 22372 24299 25108 25333 25432 25568 26656 27166 28322 28952 30926 32368 33088 34496 35156 35344 36652 36848 37553 39151 41888 43939 44506 44744 48598 50216 50666 50864 51136 53312 54332 56644 57904 61523 61852 64736 69047 70312 70688 73304 73696 75106 78302 83776 87878 89012 89488 95081 97196 100432 101332 101728 106709 108241 108664 113288 115808 123046 123704 129472 138094 140624 141376 146608 147392 149413 150212 155771 156604 170093 175756 178024 178976 190162 194392 200864 202664 203456 213418 216482 217328 226576 231616 246092 247408 262871 276188 281248 293216 295019 298826 300424 307573 311542 313208 340186 351512 356048 357952 380324 388784 401728 405328 413083 426836 430661 432964 434656 453152 483329 492184 494816 525742 552376 562496 586432 590038 597652 600848 615146 623084 626416 638401 665567 680372 703024 712096 746963 760648 777568 810656 826166 853672 861322 865928 869312 906304 966658 984368 989632 1045891 1051484 1104752 1173799 1180076 1190651 1195304 1201696 1230292 1246168 1252832 1276802 1331134 1360744 1406048 1424192 1493926 1521296 1555136 1621312 1652332 1707344 1722644 1731856 1814053 1840097 1933316 1968736 2065133 2091782 2102968 2209504 2347598 2360152 2381302 2390608 2403392 2460584 2492336 2505664 2553604 2662268 2721488 2812096 2891581 2987852 3042592 3245209 3304664 3383303 3414688 3445288 3463712 3628106 3680194 3866632 3937472 4130266 4183564 4205936 4419008 4468807 4695196 4720304 4762604 4781216 4921168 4984672 5015323 5107208 5228741 5324536 5442976 5783162 5975704 6085184 6490418 6609328 6766606 6829376 6890576 6927424 7022411 7256212 7321237 7360388 7733264 8216593 8260532 8367128 8411872 8937614 9390392 9440608 9525208 9562432 9842336 9969344 10030646 10214416 10457482 10649072 10885952 11566324 11951408 12698371 12980836 13218656 13533212 13781152 13865893 14044822 14455931 14512424 14642474 14720776 15466528 16433186 16521064 16734256 16823744 17875228 18780784 18881216 19050416 19684672 19954583 20061292 20241067 20428832 20914964 21298144 22716463 23132648 23902816 25396742 25961672 26437312 27066424 27562304 27731786 28089644 28911862 29024848 29284948 29441552 30933056 31281649 32866372 33042128 33468512 35107261 35750456 37561568 38100832 39909166 40122584 40482134 40857664 41829928 42596288 45432926 46265296 47805632 49156877 50793484 51923344 54132848 55168553 55463572 56179288 57516151 57823724 58049696 58569896 58883104 62563298 65732744 66084256 66937024 70214522 71500912 75123136 76201664 79818332 80245168 80964268 83659856 85260491 88888597 90865852 92530592 97061251 98313754 101586968 103846688 108265696 110337106 110927144 112358576 115032302 115647448 116099392 117139792 117766208 125126596 131465488 132168512 139682081 140429044 143001824 152524823 159015241 159636664 160490336 161928536 167319712 170520982 177777194 181731704 185061184 194122502 196627508 203173936 207693376 216531392 220674212 221854288 224717152 230064604 231294896 234279584 235720181 245750827 250253192 262930976 279364162 280858088 286003648 305049646 318030482 319273328 320980672 323857072 334639424 341041964 344098139 355554388 363463408 386179871 388245004 393255016 406347872 441348424 443708576 449434304 460129208 462589792 468559168 471440362 491501654 500506384 525861952 558728324 561716176 596823437 610099292 636060964 638546656 647714144 679428757 682083928 688196278 711108776 726926816 772359742 776490008 786510032 812695744 882696848 887417152 920258416 925179584 937865401 942880724 977774567 983003308 1001012768 1067673761 1117456648 1123432352 1193646874 1220198584 1272121928 1277093312 1295428288 1358857514 1364167856 1376392556 1422217552 1453853632 1544719484 1552980016 1573020064 1650041267 1765393696 1840516832 1875730802 1885761448 1955549134 1966006616 2002025536 2135347522 2234913296 2246864704 2387293748 2440397168 2544243856 2592921991 2703259097 2717715028 2728335712 2752785112 2844435104 3089438968 3105960032 3146040128 3300082534 3530787392 3681033664 3751461604 3771522896 3911098268 3932013232 4007243077 4177764059 4270695044 4469826592 4774587496 4880794336 5088487712 5185843982 5406518194 5435430056 5456671424 5505570224 5688870208 6178877936 6211920064 6565057807 6600165068 7473716327 7502923208 7543045792 7822196536 7864026464 8014486154 8355528118 8541390088 8939653184 9549174992 9761588672 10176975424 10371687964 10813036388 10870860112 11011140448 11550288869 12357755872 13130115614 13200330136 14947432654 15005846416 15086091584 15644393072 15728052928 16028972308 16711056236 17082780176 18150453937 19098349984 20743375928 21626072776 21741720224 22022280896 23100577738 24715511744 26260231228 26400660272 28050701539 29894865308 30011692832 31288786144 32057944616 33422112472 34165560352 36300907874 38196699968 41486751856 43252145552 43483440448 44079673847 45955404649 46201155476 52520462456 52801320544 56101403078 59789730616 60023385664 62577572288 64115889232 66844224944 68331120704 72601815748 82973503712 86504291104 88159347694 91910809298 92402310952 105040924912 105602641088 112202806156 119579461232 127053177559 128231778464 133688449888 145203631496 165947007424 173008582208 176318695388 183821618596 184804621904 196354910773 210081849824 224405612312 239158922464 254106355118 256463556928 267376899776 290407262992 308557716929 352637390776 367643237192 369609243808 392709821546 420163699648 448811224624 478317844928 508212710236 580814525984 617115433858 705274781552 735286474384 739218487616 785419643092 897622449248 1016425420472 1161629051968 1234230867716 1410549563104 1470572948768 1570839286184 1795244898496 2032850840944 2159904018503 2468461735432 2821099126208 2941145897536 3141678572368 4065701681888 4319808037006 4936923470864 6283357144736 8131403363776 8639616074012 9873846941728 12566714289472 17279232148024 19747693883456 34558464296048 69116928592096 138233857184192
• Sum of all divisors σ(n): 377877530584296
• Sum of proper divisors (its aliquot sum) s(n): 239643673400104
• 138233857184192 is an abundant number, because the sum of its proper divisors (239643673400104) is greater than itself. Its abundance is 101409816215912

Bases of 138233857184192

• Binary: 11111011011100100010011111101000001000111000000₂
• Hexadecimal: 0x7DB913F411C0
• Base-36: 1CZZR9H3NK

Squares and roots of 138233857184192

• 138233857184192 squared (138233857184192²) is 19108599272019590211014692864
• 138233857184192 cubed (138233857184192³) is 2641455382758311251539837238408314756005888
• The square root of 138233857184192 is 11757289.5339101009
• The cube root of 138233857184192 is 51705.6666758403

Scales and comparisons

• 138,233,857,184,192 seconds is equal to 4,395,409 years, 3 weeks, 5 days, 14 hours, 16 minutes, 32 seconds.
• To count from 1 to 138,233,857,184,192 would take you about ten million, nine hundred eighty-eight thousand, five hundred twenty-two 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 138233857184192 cubic inches would be around 4308.8 feet tall.

Recreational maths with 138233857184192

• 138233857184192 backwards is 291481758332831
• The number of decimal digits it has is: 15
• The sum of 138233857184192's digits is 65
• More coming soon!