138431723040

Names of 138431723040

• Cardinal: 138431723040 can be written as One hundred thirty-eight billion, four hundred thirty-one million, seven hundred twenty-three thousand and forty.

Scientific notation

• Scientific notation: 1.3843172304 × 10¹¹

Factors of 138431723040

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 303

Divisors of 138431723040

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 13 15 16 18 19 20 24 26 30 32 36 37 38 39 40 45 48 52 57 60 65 67 72 74 76 78 80 90 95 96 104 111 114 117 120 130 134 144 148 152 156 157 160 171 180 185 190 195 201 208 222 228 234 240 247 260 268 285 288 296 304 312 314 333 335 342 360 370 380 390 402 416 444 456 468 471 480 481 494 520 536 555 570 585 592 603 608 624 628 666 670 684 703 720 740 741 760 780 785 804 855 871 888 912 936 942 962 988 1005 1040 1072 1110 1140 1170 1184 1206 1235 1248 1256 1273 1332 1340 1368 1406 1413 1440 1443 1480 1482 1520 1560 1570 1608 1665 1710 1742 1776 1824 1872 1884 1924 1976 2010 2041 2080 2109 2144 2220 2223 2280 2340 2355 2405 2412 2470 2479 2512 2546 2613 2664 2680 2736 2812 2826 2886 2960 2964 2983 3015 3040 3120 3140 3216 3330 3420 3484 3515 3552 3705 3744 3768 3819 3848 3952 4020 4082 4218 4329 4355 4440 4446 4560 4680 4710 4810 4824 4940 4958 5024 5092 5226 5328 5360 5472 5624 5652 5772 5809 5920 5928 5966 6030 6123 6240 6280 6327 6365 6432 6660 6840 6968 7030 7065 7215 7410 7437 7536 7638 7696 7839 7904 8040 8164 8436 8658 8710 8880 8892 8949 9120 9139 9360 9420 9620 9648 9880 9916 10184 10205 10452 10519 10545 10656 10720 11115 11248 11304 11457 11544 11618 11856 11932 12060 12246 12395 12560 12654 12730 13065 13320 13680 13936 14060 14130 14430 14820 14874 14915 15072 15276 15392 15678 16080 16328 16549 16872 17316 17420 17427 17760 17784 17898 18278 18369 18720 18840 19095 19240 19296 19760 19832 20368 20410 20904 21038 21090 21645 22230 22311 22496 22608 22914 23088 23236 23712 23864 24120 24492 24790 25120 25308 25460 26130 26640 26847 27360 27417 27872 28120 28260 28860 29045 29640 29748 29830 30552 30615 31356 31557 31635 32160 32227 32656 33098 33744 34632 34840 34854 35568 35796 36556 36738 37185 37680 38190 38480 38779 39195 39520 39664 40736 40820 41808 42076 42180 43290 44460 44622 44745 45216 45695 45828 46176 46472 47101 47728 48240 48984 49580 49647 50616 50920 52260 52281 52595 53280 53694 54834 56240 56520 57285 57720 58090 59280 59496 59660 61104 61230 62712 63114 63270 64454 65312 66196 67488 69264 69680 69708 71136 71592 73112 73476 74370 75360 75517 76380 76960 77558 78390 79328 81640 82251 82745 83616 84152 84360 86580 87135 88920 89244 89490 91390 91656 91845 92944 94202 94671 95456 96480 96681 97968 99160 99294 101232 101840 104520 104562 105190 107388 109668 110371 111555 112480 113040 114570 115440 116180 116337 118560 118992 119320 122208 122460 125424 126228 126540 128908 132392 134235 136747 137085 138528 139360 139416 141303 143184 146224 146952 148740 148941 151034 152760 155116 156780 157785 161135 163280 164502 165490 168304 168720 173160 174270 177840 178488 178980 182780 183312 183690 185888 188404 189342 193362 193895 195936 198320 198588 199861 202464 203680 209040 209124 210380 214776 219336 220742 223110 226080 226551 229140 230880 232360 232674 235505 237984 238640 244920 248235 250848 252456 253080 257816 261405 264784 268470 273494 274170 278832 282606 286368 290043 292448 293904 297480 297882 302068 305520 310232 313560 315570 322270 326560 329004 330980 331113 336608 337440 346320 348540 349011 355680 356976 357960 365560 366624 367380 376808 377585 378684 386724 387790 389203 396640 397176 399722 410241 411255 418080 418248 420760 423909 429552 438672 441484 446220 453102 458280 464720 465348 471010 473355 477280 483405 489840 496470 504912 506160 515632 522810 529568 536940 546988 548340 551855 557664 565212 580086 581685 587808 594960 595764 599583 604136 611040 612313 620464 627120 631140 644540 658008 661960 662226 679653 683735 692640 697080 698022 706515 713952 715920 731120 734760 744705 753616 755170 757368 773448 775580 778406 794352 799444 820482 822510 836496 841520 847818 859104 877344 882968 892440 906204 916560 929440 930696 942020 946710 966810 979680 992940 993339 999305 1009824 1012320 1031264 1045620 1073880 1093976 1096680 1103710 1130424 1132755 1160172 1163370 1167609 1189920 1191528 1199166 1208272 1224626 1230723 1240928 1254240 1262280 1289080 1316016 1323920 1324452 1359306 1367470 1394160 1396044 1413030 1431840 1434823 1450215 1462240 1469520 1489410 1507232 1510340 1514736 1546896 1551160 1556812 1588704 1598888 1640964 1645020 1655565 1672992 1683040 1695636 1745055 1765936 1784880 1798749 1812408 1833120 1836939 1861392 1884040 1893420 1933620 1946015 1985880 1986678 1998610 2051205 2091240 2119545 2147760 2187952 2193360 2207420 2260848 2265510 2320344 2326740 2335218 2383056 2398332 2416544 2449252 2461446 2524560 2578160 2598193 2632032 2647840 2648904 2718612 2734940 2788320 2792088 2826060 2869646 2900430 2939040 2978820 2997915 3020680 3029472 3061565 3093792 3102320 3113624 3197776 3281928 3290040 3311130 3391272 3398265 3490110 3502827 3531872 3569760 3597498 3624816 3673878 3722784 3768080 3786840 3867240 3892030 3971760 3973356 3997220 4102410 4182480 4239090 4295520 4304469 4375904 4386720 4414840 4521696 4531020 4640688 4653480 4670436 4766112 4796664 4898504 4922892 4966695 5049120 5059639 5156320 5196386 5297808 5437224 5469880 5510817 5584176 5652120 5739292 5800860 5838045 5957640 5995830 6041360 6123130 6153615 6204640 6227248 6395552 6563856 6580080 6622260 6782544 6796530 6980220 7005654 7174115 7194996 7249632 7347756 7394857 7536160 7573680 7734480 7784060 7794579 7943520 7946712 7994440 8204820 8364960 8478180 8608938 8829680 8993745 9062040 9184695 9281376 9306960 9340872 9593328 9797008 9845784 9933390 10119278 10392772 10595616 10874448 10939760 11021634 11168352 11304240 11478584 11601720 11676090 11915280 11991660 12082720 12246260 12307230 12454496 12913407 12990965 13127712 13160160 13244520 13565088 13593060 13960440 14011308 14348230 14389992 14695512 14789714 15147360 15178917 15468960 15568120 15589158 15893424 15988880 16409640 16956360 17217876 17514135 17659360 17987490 18124080 18369390 18613920 18681744 19186656 19594016 19691568 19866780 20238556 20785544 21522345 21748896 21879520 22043268 22184571 22608480 22957168 23203440 23352180 23383737 23830560 23983320 24492520 24614460 25298195 25826814 25981930 26489040 27186120 27554085 27920880 28022616 28696460 28779984 29391024 29579428 30357834 31136240 31178316 31786848 31977760 32819280 33912720 34435752 35028270 35974980 36248160 36738780 36974285 37363488 38972895 39383136 39733560 40477112 41571088 43044690 44086536 44369142 45536751 45914336 46406880 46704360 46767474 47966640 48985040 49228920 50596390 51653628 51963860 52978080 54372240 55108170 55841760 56045232 57392920 57559968 58782048 59158856 60715668 62272480 62356632 64567035 65638560 66553713 67825440 68871504 70056540 71949960 73477560 73948570 75894585 77945790 79467120 80954224 83142176 86089380 88173072 88738284 91073502 93408720 93534948 95933280 96133141 97970080 98457840 101192780 103307256 103927720 108744480 110216340 110922855 112090464 114785840 116918685 118317712 121431336 124713264 129134070 133107426 137743008 140113080 143899920 146955120 147897140 151789170 155891580 158934240 161908448 172178760 176346144 177476568 182147004 186817440 187069896 192266282 196915680 202385560 206614512 207855440 220432680 221845710 227683755 229571680 233837370 236635424 242862672 249426528 258268140 266214852 280226160 287799840 288399423 293910240 295794280 303578340 311783160 332768565 344357520 354953136 364294008 374139792 384532564 404771120 413229024 415710880 440865360 443691420 455367510 467674740 480665705 485725344 516536280 532429704 560452320 576798846 591588560 607156680 623566320 665537130 688715040 709906272 728588016 748279584 769065128 809542240 865198269 881730720 887382840 910735020 935349480 961331410 1033072560 1064859408 1153597692 1183177120 1214313360 1247132640 1331074260 1441997115 1457176032 1538130256 1730396538 1774765680 1821470040 1870698960 1922662820 2066145120 2129718816 2307195384 2428626720 2662148520 2883994230 3076260512 3460793076 3549531360 3642940080 3741397920 3845325640 4325991345 4614390768 5324297040 5767988460 6921586152 7285880160 7690651280 8651982690 9228781536 10648594080 11535976920 13843172304 15381302560 17303965380 23071953840 27686344608 34607930760 46143907680 69215861520 138431723040
• Sum of all divisors σ(n): 561749610240
• Sum of proper divisors (its aliquot sum) s(n): 423317887200
• 138431723040 is an abundant number, because the sum of its proper divisors (423317887200) is greater than itself. Its abundance is 284886164160

Bases of 138431723040

• Binary: 10000000111011001011000111011000100000₂
• Hexadecimal: 0x203B2C7620
• Base-36: 1RLEO940

Squares and roots of 138431723040

• 138431723040 squared (138431723040²) is 19163341943823266841600
• 138431723040 cubed (138431723040³) is 2652814444488157714124386750464000
• The square root of 138431723040 is 372064.1383417649
• The cube root of 138431723040 is 5173.0325151163

Scales and comparisons

• 138,431,723,040 seconds is equal to 4,401 years, 36 weeks, 3 days, 24 minutes.
• To count from 1 to 138,431,723,040 would take you about eight thousand, eight hundred three 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 138431723040 cubic inches would be around 431.1 feet tall.

Recreational maths with 138431723040

• 138431723040 backwards is 040327134831
• 138431723040 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138431723040's digits is 36
• More coming soon!