138628638720

Names of 138628638720

• Cardinal: 138628638720 can be written as One hundred thirty-eight billion, six hundred twenty-eight million, six hundred thirty-eight thousand, seven hundred twenty.

Scientific notation

• Scientific notation: 1.3862863872 × 10¹¹

Factors of 138628638720

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 258

Divisors of 138628638720

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 26 30 32 33 36 39 40 44 45 48 52 55 60 64 65 66 67 72 78 80 88 90 96 99 104 110 117 120 128 130 132 134 143 144 156 157 160 165 176 180 192 195 198 201 208 220 234 240 256 260 264 268 286 288 312 314 320 330 335 352 360 384 390 396 402 416 429 440 468 471 480 495 512 520 528 536 572 576 585 603 624 628 640 660 670 704 715 720 737 768 780 785 792 804 832 858 871 880 936 942 960 990 1005 1024 1040 1056 1072 1144 1152 1170 1206 1248 1256 1280 1287 1320 1340 1408 1413 1430 1440 1474 1536 1560 1570 1584 1608 1664 1716 1727 1742 1760 1872 1884 1920 1980 2010 2041 2048 2080 2112 2144 2145 2211 2288 2304 2340 2355 2412 2496 2512 2560 2574 2613 2640 2680 2816 2826 2860 2880 2948 3015 3072 3120 3140 3168 3216 3328 3432 3454 3484 3520 3685 3744 3768 3840 3960 4020 4082 4160 4224 4288 4290 4355 4422 4576 4608 4680 4710 4824 4992 5024 5120 5148 5181 5226 5280 5360 5632 5652 5720 5760 5896 6030 6123 6144 6240 6280 6336 6432 6435 6633 6656 6864 6908 6968 7040 7065 7370 7488 7536 7680 7839 7920 8040 8164 8320 8448 8576 8580 8635 8710 8844 9152 9216 9360 9420 9581 9648 9984 10048 10205 10240 10296 10362 10452 10519 10560 10720 11055 11264 11304 11440 11520 11792 12060 12246 12480 12560 12672 12864 12870 13065 13266 13312 13728 13816 13936 14080 14130 14740 14976 15072 15360 15543 15678 15840 16080 16328 16640 16896 17152 17160 17270 17420 17688 18304 18369 18432 18720 18840 19162 19296 19968 20096 20410 20592 20724 20904 21038 21120 21440 22110 22451 22528 22608 22880 23040 23584 24120 24492 24960 25120 25344 25728 25740 25905 26130 26532 26624 27456 27632 27872 28160 28260 28743 29480 29952 30144 30615 30720 31086 31356 31557 31680 32160 32656 33165 33280 33792 34304 34320 34540 34840 35376 36608 36738 37440 37680 38324 38592 39195 39936 40192 40820 41184 41448 41808 42076 42240 42880 44220 44902 45216 45760 46080 47168 47905 48240 48984 49920 50240 50688 51456 51480 51810 52260 52595 53064 54912 55264 55744 56320 56520 57486 58960 59904 60288 61230 62172 62712 63114 63360 64320 65312 66330 66560 67353 67584 68608 68640 69080 69680 70752 73216 73476 74880 75360 76648 77184 77715 78390 79872 80384 81640 82368 82896 83616 84152 84480 85760 86229 88440 89804 90432 91520 91845 92160 94336 94671 95810 96480 97968 99840 100480 101376 102912 102960 103620 104520 105190 106128 109824 110528 111488 112255 112640 113040 114972 115709 117920 119808 120576 122460 124344 125424 126228 126720 128640 130624 132660 133120 134706 136747 137216 137280 138160 139360 141504 143715 146432 146952 149760 150720 153296 154368 155430 156780 157785 160768 163280 164736 165792 167232 168304 168960 171520 172458 176880 179608 180864 183040 183690 188672 189342 191620 192960 195936 199680 200960 202059 202752 205824 205920 207240 209040 210380 212256 219648 221056 222976 224510 226080 229944 231418 235840 239616 241152 244920 248688 250848 252456 253440 257280 261248 265320 269412 273494 274560 276320 278720 283008 287430 292864 293904 299520 301440 306592 308736 310860 313560 315570 321536 326560 329472 331584 334464 336608 336765 337920 343040 344916 347127 353760 359216 361728 366080 367380 377344 378684 383240 385920 391872 399360 401920 404118 410241 411648 411840 414480 418080 420760 424512 431145 439296 442112 445952 449020 452160 459888 462836 471680 473355 482304 489840 497376 501696 504912 506880 514560 522496 530640 538824 546988 549120 552640 557440 566016 574860 578545 587808 599040 602880 613184 617472 621720 627120 631140 653120 658944 663168 668928 673216 673530 683735 686080 689832 694254 707520 718432 723456 732160 734760 754688 757368 766480 771840 783744 803840 808236 820482 823680 828960 836160 841520 849024 862290 878592 884224 891904 898040 904320 919776 925672 943360 946710 964608 979680 994752 1003392 1009824 1010295 1013760 1029120 1041381 1044992 1061280 1077648 1093976 1098240 1105280 1114880 1132032 1149720 1157090 1175616 1198080 1205760 1226368 1230723 1234944 1243440 1254240 1262280 1306240 1317888 1326336 1337856 1346432 1347060 1367470 1379664 1388508 1415040 1436864 1446912 1464320 1469520 1504217 1509376 1514736 1532960 1543680 1567488 1607680 1616472 1640964 1647360 1657920 1672320 1683040 1698048 1724580 1735635 1768448 1783808 1796080 1808640 1839552 1851344 1886720 1893420 1959360 1989504 2006784 2019648 2020590 2051205 2058240 2082762 2089984 2122560 2155296 2187952 2196480 2210560 2229760 2264064 2299440 2314180 2351232 2411520 2452736 2461446 2486880 2508480 2524560 2612480 2635776 2652672 2675712 2692864 2694120 2734940 2759328 2777016 2830080 2873728 2893824 2939040 3008434 3029472 3065920 3087360 3134976 3232944 3281928 3294720 3315840 3344640 3366080 3396096 3449160 3471270 3536896 3592160 3617280 3679104 3702688 3773440 3786840 3918720 3979008 4013568 4039296 4041180 4102410 4165524 4179968 4245120 4310592 4375904 4392960 4421120 4459520 4512651 4528128 4598880 4628360 4702464 4823040 4905472 4922892 4973760 5016960 5049120 5206905 5224960 5305344 5351424 5385728 5388240 5469880 5518656 5554032 5660160 5747456 5878080 6016868 6058944 6131840 6153615 6174720 6269952 6465888 6563856 6589440 6631680 6689280 6732160 6792192 6898320 6942540 7184320 7234560 7358208 7405376 7521085 7546880 7573680 7837440 7958016 8027136 8078592 8082360 8204820 8331048 8490240 8621184 8751808 8842240 8919040 9025302 9197760 9256720 9404928 9810944 9845784 9947520 10033920 10098240 10413810 10449920 10610688 10771456 10776480 10939760 11037312 11108064 11320320 11494912 11756160 12033736 12117888 12263680 12307230 12539904 12931776 13127712 13178880 13263360 13378560 13464320 13537953 13584384 13796640 13885080 14368640 14469120 14716416 14810752 15042170 15147360 15674880 15916032 16054272 16157184 16164720 16409640 16662096 16980480 17242368 17503616 17684480 18050604 18395520 18513440 18809856 19621888 19691568 19895040 20067840 20196480 20827620 20899840 21542912 21552960 21879520 22074624 22216128 22563255 22640640 22989824 23512320 24067472 24235776 24527360 24614460 25863552 26255424 26526720 26757120 26928640 27075906 27593280 27770160 28737280 29432832 29621504 30084340 30294720 31349760 31832064 32314368 32329440 32819280 33324192 33960960 34484736 35007232 36101208 36791040 37026880 37619712 39383136 39790080 40135680 40392960 41655240 43105920 43759040 44149248 44432256 45126510 45979648 47024640 48134944 48471552 49054720 49228920 51727104 52510848 53053440 53857280 54151812 55186560 55540320 57474560 58865664 59243008 60168680 60589440 62699520 64628736 64658880 65638560 66648384 67689765 67921920 68969472 70014464 72202416 73582080 74053760 78766272 79580160 80271360 80785920 83310480 86211840 87518080 88298496 88864512 90253020 94049280 96269888 96943104 98109440 98457840 103454208 105021696 107714560 108303624 110373120 111080640 114949120 118486016 120337360 121178880 129317760 131277120 133296768 135379530 137938944 140028928 144404832 147164160 148107520 157532544 159160320 161571840 166620960 172423680 175036160 176596992 177729024 180506040 188098560 192539776 193886208 196915680 206908416 210043392 216607248 220746240 222161280 229898240 236972032 240674720 242357760 258635520 262554240 266593536 270759060 280057856 288809664 294328320 296215040 315065088 323143680 333241920 344847360 350072320 355458048 361012080 385079552 393831360 413816832 420086784 433214496 441492480 444322560 481349440 484715520 517271040 525108480 533187072 541518120 577619328 592430080 630130176 666483840 689694720 700144640 710916096 722024160 770159104 787662720 840173568 866428992 882984960 888645120 962698880 969431040 1034542080 1050216960 1066374144 1083036240 1155238656 1184860160 1260260352 1332967680 1400289280 1444048320 1540318208 1575325440 1732857984 1777290240 1925397760 2069084160 2100433920 2132748288 2166072480 2310477312 2520520704 2665935360 2888096640 3080636416 3150650880 3465715968 3554580480 3850795520 4200867840 4332144960 4620954624 5331870720 5776193280 6301301760 6931431936 7701591040 8664289920 9241909248 10663741440 11552386560 12602603520 13862863872 15403182080 17328579840 23104773120 27725727744 34657159680 46209546240 69314319360 138628638720
• Sum of all divisors σ(n): 576532494720
• Sum of proper divisors (its aliquot sum) s(n): 437903856000
• 138628638720 is an abundant number, because the sum of its proper divisors (437903856000) is greater than itself. Its abundance is 299275217280

Bases of 138628638720

• Binary: 10000001000110111010010010100000000000₂
• Hexadecimal: 0x2046E92800
• Base-36: 1RONWU80

Squares and roots of 138628638720

• 138628638720 squared (138628638720²) is 19217899473360283238400
• 138628638720 cubed (138628638720³) is 2664151243049740969453025230848000
• The square root of 138628638720 is 372328.6702901081
• The cube root of 138628638720 is 5175.4841896609

Scales and comparisons

• 138,628,638,720 seconds is equal to 4,407 years, 50 weeks, 3 hours, 12 minutes.
• To count from 1 to 138,628,638,720 would take you about eight thousand, eight hundred fifteen 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 138628638720 cubic inches would be around 431.3 feet tall.

Recreational maths with 138628638720

• 138628638720 backwards is 027836826831
• The number of decimal digits it has is: 12
• The sum of 138628638720's digits is 54
• More coming soon!