138404433024

Names of 138404433024

• Cardinal: 138404433024 can be written as One hundred thirty-eight billion, four hundred four million, four hundred thirty-three thousand and twenty-four.

Scientific notation

• Scientific notation: 1.38404433024 × 10¹¹

Factors of 138404433024

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 95

Divisors of 138404433024

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 29 32 33 36 37 39 44 48 52 54 58 64 66 72 74 78 81 87 88 96 99 104 108 111 116 117 128 132 143 144 148 156 162 174 176 192 198 208 216 222 232 234 243 261 264 286 288 296 297 312 319 324 333 348 351 352 377 384 396 407 416 429 432 444 464 468 481 486 522 528 572 576 592 594 624 638 648 666 696 702 704 754 783 792 814 832 841 858 864 888 891 928 936 957 962 972 999 1044 1053 1056 1073 1131 1144 1152 1184 1188 1221 1248 1276 1287 1296 1332 1392 1404 1408 1443 1508 1566 1584 1628 1664 1682 1716 1728 1776 1782 1856 1872 1914 1924 1944 1998 2088 2106 2112 2146 2262 2288 2349 2368 2376 2442 2496 2523 2552 2574 2592 2664 2673 2784 2808 2871 2886 2997 3016 3132 3159 3168 3219 3256 3364 3393 3432 3456 3552 3564 3663 3712 3744 3828 3848 3861 3888 3996 4147 4176 4212 4224 4292 4329 4524 4576 4698 4736 4752 4884 4992 5046 5104 5148 5184 5291 5328 5346 5568 5616 5742 5772 5994 6032 6264 6318 6336 6438 6512 6728 6786 6864 7047 7104 7128 7326 7488 7569 7656 7696 7722 7776 7992 8294 8352 8424 8584 8613 8658 8991 9048 9152 9251 9396 9504 9657 9768 10092 10179 10208 10296 10368 10582 10656 10692 10933 10989 11136 11232 11484 11544 11583 11803 11988 12064 12441 12528 12636 12672 12876 12987 13024 13456 13572 13728 13949 14094 14208 14256 14652 14976 15138 15312 15392 15444 15552 15873 15984 16588 16704 16848 17168 17226 17316 17982 18096 18304 18502 18792 19008 19314 19536 20184 20358 20416 20592 21164 21312 21384 21866 21978 22464 22707 22968 23088 23166 23606 23976 24128 24882 25056 25272 25752 25839 25974 26048 26912 27144 27456 27753 27898 28188 28512 28971 29304 30276 30537 30624 30784 30888 31104 31117 31746 31968 32799 32967 33176 33408 33696 34336 34452 34632 34749 35409 35964 36192 37004 37323 37584 38016 38628 38961 39072 40368 40716 40832 41184 41847 42328 42624 42768 43732 43956 44928 45414 45936 46176 46332 47212 47619 47952 48256 49764 50112 50544 51504 51678 51948 52096 53824 54288 54912 55506 55796 56376 57024 57942 58608 60552 61074 61248 61568 61776 62234 63492 63936 65598 65934 66352 67392 68121 68672 68904 69264 69498 70818 71928 72384 74008 74646 75168 77256 77517 77922 78144 80736 81432 82368 83259 83694 84656 85536 86913 87464 87912 90828 91611 91872 92352 92664 93351 94424 95238 95904 98397 98901 99528 100224 101088 103008 103356 103896 106227 107648 108576 111012 111592 111969 112752 114048 115884 116883 117216 120263 121104 122148 122496 123552 124468 125541 126984 127872 131196 131868 132704 134784 136242 137344 137808 138528 138996 141636 142857 143856 144768 148016 149292 150336 153439 154512 155034 155844 156288 161472 162864 164736 166518 167388 169312 171072 173826 174928 175824 181656 183222 183744 184704 185328 186702 188848 190476 191808 196794 197802 199056 202176 204363 206016 206712 207792 212454 217152 222024 223184 223938 225504 231768 233766 234432 240526 242208 244296 247104 248936 249777 251082 253968 260739 262392 263736 265408 272484 275616 277056 277992 280053 283272 285714 287712 295191 296032 298584 300672 306878 309024 310068 311688 318681 322944 325728 333036 334776 335907 338624 342144 342287 347652 349856 351648 360789 363312 366444 367488 370656 373404 376623 377696 380952 383616 393588 395604 398112 404352 404521 408726 412032 413424 415584 424908 428571 434304 444048 446368 447876 451008 460317 463536 467532 468864 481052 484416 488592 494208 497872 499554 502164 507936 521478 524784 527472 530816 544968 551232 554112 555984 560106 566544 571428 575424 590382 592064 597168 613756 618048 620136 623376 637362 651456 666072 669552 671814 677248 684574 695304 699712 703296 721578 726624 732888 741312 746808 749331 753246 755392 761904 787176 791208 796224 809042 817452 826848 831168 840159 849816 857142 885573 888096 892736 895752 902016 920634 927072 935064 956043 962104 968832 977184 995744 999108 1004328 1007721 1015872 1026861 1042956 1049568 1054944 1082367 1089936 1102464 1111968 1120212 1129869 1133088 1142856 1150848 1180764 1184128 1194336 1213563 1227512 1236096 1240272 1246752 1274724 1285713 1302912 1332144 1339104 1343628 1369148 1380951 1390608 1399424 1406592 1443156 1453248 1465776 1482624 1493616 1498662 1506492 1510784 1523808 1574352 1582416 1592448 1618084 1634904 1653696 1662336 1680318 1699632 1714284 1771146 1776192 1785472 1791504 1841268 1854144 1870128 1912086 1924208 1954368 1991488 1998216 2008656 2015442 2031744 2053722 2085912 2099136 2109888 2164734 2179872 2223936 2240424 2247993 2259738 2266176 2285712 2361528 2388672 2427126 2455024 2480544 2493504 2520477 2549448 2571426 2656719 2664288 2678208 2687256 2738296 2761902 2781216 2868129 2886312 2906496 2931552 2987232 2997324 3012984 3047616 3080583 3148704 3164832 3236168 3247101 3269808 3307392 3360636 3389607 3399264 3428568 3542292 3552384 3583008 3640689 3682536 3708288 3740256 3824172 3848416 3908736 3982976 3996432 4017312 4030884 4107444 4142853 4171824 4198272 4219776 4329468 4359744 4447872 4449731 4480848 4495986 4519476 4532352 4571424 4723056 4777344 4854252 4910048 4961088 4987008 5040954 5098896 5142852 5313438 5328576 5356416 5374512 5476592 5523804 5562432 5736258 5772624 5863104 5974464 5994648 6025968 6095232 6161166 6297408 6329664 6472336 6494202 6539616 6721272 6779214 6798528 6857136 7084584 7166016 7281378 7365072 7480512 7561431 7648344 7696832 7992864 8034624 8061768 8214888 8285706 8343648 8658936 8719488 8899462 8961696 8991972 9038952 9142848 9241749 9446112 9708504 9741303 9820096 9922176 10081908 10197792 10285704 10626876 10657152 10749024 10922067 10953184 11047608 11124864 11472516 11545248 11726208 11948928 11989296 12051936 12322332 12428559 12594816 12659328 12944672 12988404 13079232 13349193 13442544 13558428 13597056 13714272 14169168 14332032 14562756 14730144 14961024 15122862 15296688 15393664 15985728 16069248 16123536 16429776 16571412 16687296 17317872 17798924 17923392 17983944 18077904 18285696 18483498 18892224 19417008 19482606 19640192 20163816 20395584 20571408 21253752 21498048 21844134 21906368 22095216 22945032 23090496 23978592 24103872 24644664 24857118 25889344 25976808 26158464 26698386 26885088 27116856 27428544 27725247 28338336 29125512 29223909 29460288 30245724 30593376 31971456 32247072 32766201 32859552 33142824 33374592 34635744 35597848 35846784 35967888 36155808 36966996 37285677 37784448 38834016 38965212 40047579 40327632 40791168 41142816 42507504 42996096 43688268 43812736 44190432 45890064 46180992 47957184 48207744 49289328 49714236 51778688 51953616 53396772 53770176 54233712 54857088 55450494 56676672 58251024 58447818 58920576 60491448 61186752 64494144 65532402 65719104 66285648 69271488 71195696 71935776 72311616 73933992 74571354 77668032 77930424 80095158 80655264 82285632 83175741 85015008 87376536 88380864 91780128 95914368 98298603 98578656 99428472 103907232 106793544 107540352 108467424 110900988 113353344 116502048 116895636 120142737 120982896 122373504 128988288 131064804 131438208 132571296 138542976 142391392 143871552 144623232 147867984 149142708 155336064 155860848 160190316 161310528 164571264 166351482 170030016 174753072 176761728 183560256 196597206 197157312 198856944 207814464 213587088 216934848 221801976 233004096 233791272 240285474 241965792 262129608 265142592 284782784 287743104 295735968 298285416 311721696 320380632 322621056 332702964 340060032 349506144 360428211 367120512 393194412 394314624 397713888 415628928 427174176 433869696 443603952 466008192 467582544 480570948 483931584 524259216 530285184 569565568 591471936 596570832 623443392 640761264 665405928 699012288 720856422 786388824 795427776 854348352 887207904 935165088 961141896 967863168 1048518432 1081284633 1182943872 1193141664 1246886784 1281522528 1330811856 1398024576 1441712844 1572777648 1590855552 1708696704 1774415808 1870330176 1922283792 2097036864 2162569266 2386283328 2563045056 2661623712 2883425688 3145555296 3548831616 3740660352 3844567584 4194073728 4325138532 4772566656 5126090112 5323247424 5766851376 6291110592 7689135168 8650277064 10646494848 11533702752 12582221184 15378270336 17300554128 23067405504 34601108256 46134811008 69202216512 138404433024
• Sum of all divisors σ(n): 516122268480
• Sum of proper divisors (its aliquot sum) s(n): 377717835456
• 138404433024 is an abundant number, because the sum of its proper divisors (377717835456) is greater than itself. Its abundance is 239313402432

Bases of 138404433024

• Binary: 10000000111001100011000000110010000000₂
• Hexadecimal: 0x20398C0C80
• Base-36: 1RKYFC00

Squares and roots of 138404433024

• 138404433024 squared (138404433024²) is 19155787080694901784576
• 138404433024 cubed (138404433024³) is 2651245850032042017421607068237824
• The square root of 138404433024 is 372027.4627282239
• The cube root of 138404433024 is 5172.6925607213

Scales and comparisons

• 138,404,433,024 seconds is equal to 4,400 years, 43 weeks, 2 days, 3 hours, 50 minutes, 24 seconds.
• To count from 1 to 138,404,433,024 would take you about eight 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 138404433024 cubic inches would be around 431.1 feet tall.

Recreational maths with 138404433024

• 138404433024 backwards is 420334404831
• 138404433024 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138404433024's digits is 36
• More coming soon!