138673731456

Names of 138673731456

• Cardinal: 138673731456 can be written as One hundred thirty-eight billion, six hundred seventy-three million, seven hundred thirty-one thousand, four hundred fifty-six.

Scientific notation

• Scientific notation: 1.38673731456 × 10¹¹

Factors of 138673731456

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 109

Divisors of 138673731456

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 23 24 26 27 31 32 36 37 39 46 48 52 54 62 64 69 72 74 78 81 92 93 96 104 108 111 117 124 128 138 144 148 156 162 169 184 186 192 207 208 216 222 234 243 248 276 279 288 296 299 312 324 333 338 351 368 372 384 403 414 416 432 444 468 481 486 496 507 552 558 576 592 598 621 624 648 666 676 702 713 736 744 806 828 832 837 851 864 888 897 936 962 972 992 999 1014 1053 1104 1116 1147 1152 1184 1196 1209 1242 1248 1296 1332 1352 1404 1426 1443 1472 1488 1521 1612 1656 1664 1674 1702 1728 1776 1794 1863 1872 1924 1944 1984 1998 2028 2106 2139 2208 2232 2294 2368 2392 2418 2484 2496 2511 2553 2592 2664 2691 2704 2808 2852 2886 2944 2976 2997 3042 3159 3224 3312 3348 3404 3441 3456 3552 3588 3627 3726 3744 3848 3887 3888 3968 3996 4056 4212 4278 4329 4416 4464 4563 4588 4736 4784 4836 4968 4992 5022 5106 5184 5239 5328 5382 5408 5589 5616 5704 5772 5952 5994 6084 6253 6318 6417 6448 6624 6696 6808 6882 7104 7176 7254 7452 7488 7533 7659 7696 7774 7776 7992 8073 8112 8424 8556 8658 8832 8928 8991 9126 9176 9269 9568 9672 9936 10044 10212 10323 10368 10478 10656 10764 10816 10881 11063 11178 11232 11408 11544 11661 11904 11988 12168 12506 12636 12834 12896 12987 13248 13392 13616 13689 13764 14208 14352 14508 14904 14911 14976 15066 15318 15392 15548 15552 15717 15984 16146 16224 16848 17112 17316 17856 17982 18252 18352 18538 18759 19136 19251 19344 19872 20088 20424 20646 20956 21312 21528 21632 21762 22126 22356 22464 22816 22977 23088 23322 23976 24219 24336 25012 25272 25668 25792 25974 26381 26496 26784 27232 27378 27528 27807 28704 29016 29808 29822 30132 30636 30784 30969 31096 31104 31434 31968 32292 32448 32643 33189 33696 34224 34632 34983 35712 35964 36504 36704 37076 37518 38272 38502 38688 38961 39744 40176 40848 41067 41292 41912 42624 43056 43524 44252 44712 44733 44928 45632 45954 46176 46644 47151 47952 48438 48672 50024 50544 51336 51584 51948 52762 53568 54464 54756 55056 55614 56277 57408 57753 58032 59616 59644 60264 61272 61568 61938 62192 62868 63936 64584 64896 65286 66378 67392 68448 68931 69264 69966 71928 72657 73008 73408 74152 75036 77004 77376 77922 79143 79488 80352 81696 82134 82584 83421 83824 86112 87048 88504 89424 89466 91264 91908 92352 92907 93288 94302 95904 96876 97344 97929 99567 100048 101088 102672 103896 104949 105524 107136 108928 109512 110112 111228 112554 114816 115506 116064 116883 119232 119288 120497 120528 122544 123876 124384 125736 127872 129168 130572 132756 134199 134784 136896 137862 138528 139932 141453 143819 143856 145314 146016 146816 148304 150072 154008 154752 155844 158286 160704 163392 164268 165168 166842 167648 168831 172224 173259 174096 177008 178848 178932 183816 184704 185814 186576 188604 191808 193752 193843 194688 195858 199134 200096 202176 205344 206793 207792 209898 211048 219024 220224 222456 225108 231012 232128 233766 237429 238464 238576 240994 241056 245088 247752 248768 250263 251472 258336 261144 265512 268398 273792 275724 277056 278721 279864 282906 287638 287712 290628 292032 296608 298701 300144 308016 311688 314847 316572 321408 326784 328536 330336 333684 335296 337662 342953 344448 346518 348192 354016 357696 357864 361491 367632 371628 373152 377208 383616 387504 387686 391716 398268 400192 402597 404352 410688 413586 415584 419796 422096 424359 431457 438048 440448 444912 450216 462024 464256 467532 474858 477152 481988 482112 490176 495504 497536 500526 502944 506493 516672 522288 531024 536796 551448 554112 557442 559728 565812 575276 575424 581256 581529 584064 593216 597402 600288 616032 623376 629694 633144 657072 660672 667368 670592 675324 685906 693036 696384 708032 712287 715392 715728 722982 735264 743256 746304 750789 754416 775008 775372 783432 796536 800384 805194 821376 827172 831168 839592 844192 848718 862914 876096 889824 896103 900432 924048 935064 944541 949716 954304 963976 964224 980352 991008 1001052 1005888 1012986 1028859 1033344 1044576 1062048 1073592 1084473 1102896 1114884 1119456 1131624 1150552 1150848 1162512 1163058 1186432 1194804 1200576 1207791 1232064 1246752 1259388 1266288 1273077 1294371 1314144 1321344 1334736 1350648 1371812 1386072 1392768 1416064 1424574 1431456 1445964 1470528 1486512 1492608 1501578 1508832 1519479 1550016 1550744 1566864 1593072 1610388 1654344 1662336 1679184 1688384 1697436 1725828 1744587 1752192 1779648 1792206 1800864 1848096 1870128 1889082 1899432 1908608 1927952 1982016 2002104 2011776 2025972 2057718 2089152 2124096 2136861 2147184 2168946 2205792 2229768 2238912 2252367 2263248 2301104 2325024 2326116 2389608 2401152 2415582 2464128 2493504 2518776 2532576 2546154 2588742 2628288 2669472 2688309 2701296 2743624 2772144 2849148 2862912 2891928 2941056 2973024 3003156 3017664 3038958 3086577 3100032 3101488 3133728 3186144 3220776 3253419 3308688 3358368 3376768 3394872 3451656 3489174 3559296 3584412 3601728 3623373 3696192 3740256 3778164 3798864 3855904 3883113 3964032 4004208 4051944 4115436 4178304 4248192 4273722 4294368 4337892 4411584 4458389 4459536 4477824 4504734 4526496 4602208 4650048 4652232 4779216 4831164 4987008 5037552 5065152 5092308 5177484 5233761 5256576 5338944 5376618 5402592 5487248 5544288 5698296 5725824 5783856 5946048 6006312 6035328 6077916 6173154 6202976 6267456 6372288 6410583 6441552 6506838 6617376 6716736 6789744 6903312 6978348 7168824 7203456 7246746 7392384 7480512 7556328 7597728 7711808 7766226 8008416 8103888 8230872 8547444 8588736 8675784 8823168 8916778 8919072 9009468 9052992 9204416 9259731 9300096 9304464 9558432 9662328 9760257 10075104 10130304 10184616 10354968 10467522 10677888 10753236 10805184 10974496 11088576 11396592 11567712 11649339 11892096 12012624 12155832 12346308 12405952 12534912 12744576 12821166 12883104 13013676 13234752 13375167 13433472 13579488 13806624 13956696 14337648 14493492 14961024 15112656 15195456 15423616 15532452 15701283 16016832 16207776 16461744 17094888 17177472 17351568 17833556 17838144 18018936 18105984 18408832 18519462 18608928 19116864 19324656 19520514 20150208 20369232 20709936 20935044 21506472 21610368 21948992 22177152 22793184 23135424 23298678 24025248 24311664 24692616 24811904 25642332 25766208 26027352 26469504 26750334 27158976 27613248 27779193 27913392 28675296 28986984 29280771 30225312 30390912 31064904 31402566 32033664 32415552 32923488 34189776 34703136 34948017 35667112 35676288 36037872 37038924 37217856 38233728 38649312 39041028 40125501 40300416 40738464 41419872 41870088 43012944 43897984 45586368 46270848 46597356 47103849 48050496 48623328 49385232 51284664 51532416 52054704 53500668 54317952 55226496 55558386 55826784 57350592 57973968 58561542 60450624 62129808 62805132 64831104 65846976 68379552 69406272 69896034 71334224 72075744 74077848 74435712 77298624 78082056 80251002 81476928 82839744 83337579 83740176 86025888 91172736 93194712 94207698 96100992 97246656 98770464 102569328 104109408 107001336 111116772 111653568 114701184 115947936 117123084 120376503 120901248 124259616 125610264 131693952 136759104 138812544 139792068 142668448 144151488 148155696 154597248 156164112 160502004 162953856 165679488 166675158 167480352 172051776 186389424 188415396 194493312 197540928 205138656 208218816 214002672 222233544 223307136 231895872 234246168 240753006 248519232 251220528 273518208 279584136 285336896 288302976 296311392 312328224 321004008 333350316 334960704 344103552 361129509 372778848 376830792 395081856 410277312 416437632 428005344 444467088 463791744 468492336 481506012 497038464 502441056 559168272 570673792 592622784 624656448 642008016 666700632 669921408 722259018 745557696 753661584 820554624 856010688 888934176 936984672 963012024 1004882112 1083388527 1118336544 1185245568 1249312896 1284016032 1333401264 1444518036 1491115392 1507323168 1712021376 1777868352 1873969344 1926024048 2009764224 2166777054 2236673088 2568032064 2666802528 2889036072 3014646336 3555736704 3747938688 3852048096 4333554108 4473346176 5136064128 5333605056 5778072144 6029292672 7704096192 8667108216 10667210112 11556144288 15408192384 17334216432 23112288576 34668432864 46224577152 69336865728 138673731456
• Sum of all divisors σ(n): 495721175040
• Sum of proper divisors (its aliquot sum) s(n): 357047443584
• 138673731456 is an abundant number, because the sum of its proper divisors (357047443584) is greater than itself. Its abundance is 218373712128

Bases of 138673731456

• Binary: 10000001001001100110010011011110000000₂
• Hexadecimal: 0x2049993780
• Base-36: 1RPERC00

Squares and roots of 138673731456

• 138673731456 squared (138673731456²) is 19230403795930803879936
• 138673731456 cubed (138673731456³) is 2666751851787351322804447730466816
• The square root of 138673731456 is 372389.2203810415
• The cube root of 138673731456 is 5176.0452845037

Scales and comparisons

• 138,673,731,456 seconds is equal to 4,409 years, 20 weeks, 4 days, 57 minutes, 36 seconds.
• To count from 1 to 138,673,731,456 would take you about eight thousand, eight hundred eighteen 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 138673731456 cubic inches would be around 431.3 feet tall.

Recreational maths with 138673731456

• 138673731456 backwards is 654137376831
• 138673731456 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138673731456's digits is 54
• More coming soon!