138121087104
138,121,087,104 is an even composite number composed of seven prime numbers multiplied together.
138121087104 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138121087104:
27 × 32 × 72 × 11 × 13 × 71 × 241
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 11 × 13 × 71 × 241)See below for interesting mathematical facts about the number 138121087104 from the Numbermatics database.
Names of 138121087104
- Cardinal: 138121087104 can be written as One hundred thirty-eight billion, one hundred twenty-one million, eighty-seven thousand, one hundred four.
Scientific notation
- Scientific notation: 1.38121087104 × 1011
Factors of 138121087104
Divisors of 138121087104
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 13 14 16 18 21 22 24 26 28 32 33 36 39 42 44 48 49 52 56 63 64 66 71 72 77 78 84 88 91 96 98 99 104 112 117 126 128 132 142 143 144 147 154 156 168 176 182 192 196 198 208 213 224 231 234 241 252 264 273 284 286 288 294 308 312 336 352 364 384 392 396 416 426 429 441 448 462 468 482 497 504 528 539 546 568 572 576 588 616 624 637 639 672 693 704 723 728 781 784 792 819 832 852 858 882 896 923 924 936 964 994 1001 1008 1056 1078 1092 1136 1144 1152 1176 1232 1248 1274 1278 1287 1344 1386 1408 1446 1456 1491 1562 1568 1584 1617 1638 1664 1687 1704 1716 1764 1846 1848 1872 1911 1928 1988 2002 2016 2112 2156 2169 2184 2272 2288 2343 2352 2464 2496 2548 2556 2574 2651 2688 2769 2772 2892 2912 2982 3003 3124 3133 3136 3168 3234 3276 3374 3408 3432 3479 3528 3692 3696 3744 3822 3856 3976 4004 4032 4224 4312 4338 4368 4473 4544 4576 4686 4704 4851 4928 4992 5061 5096 5112 5148 5302 5467 5538 5544 5733 5784 5824 5964 6006 6248 6266 6272 6336 6461 6468 6552 6748 6816 6864 6958 7007 7029 7056 7384 7392 7488 7644 7712 7952 7953 8008 8064 8307 8624 8676 8736 8946 9009 9088 9152 9372 9399 9408 9702 9856 10122 10153 10192 10224 10296 10437 10604 10934 11076 11088 11466 11568 11648 11809 11928 12012 12496 12532 12672 12922 12936 13104 13496 13632 13728 13916 14014 14058 14112 14768 14784 14976 15183 15288 15424 15904 15906 16016 16401 16614 17111 17248 17352 17472 17892 18018 18304 18557 18744 18798 18816 19383 19404 20244 20306 20384 20448 20592 20874 21021 21208 21868 21931 22152 22176 22932 23136 23618 23856 23859 24024 24992 25064 25844 25872 26208 26992 27264 27456 27832 28028 28116 28197 28224 29536 29568 30366 30459 30576 30848 31311 31808 31812 32032 32802 33228 34222 34463 34496 34704 34944 35427 35784 36036 37114 37488 37596 38269 38766 38808 40488 40612 40768 40896 41184 41748 42042 42416 43736 43862 44304 44352 45227 45864 46272 47236 47712 47718 48048 49203 49984 50128 51333 51688 51744 52416 53984 54912 55664 55671 56056 56232 56394 56448 58149 59072 60732 60918 61152 62622 63063 63616 63624 64064 65604 65793 66456 68444 68926 68992 69408 70854 71071 71568 72072 74228 74976 75192 76538 77532 77616 80976 81224 81536 81792 82368 83496 84084 84832 87472 87724 88608 88704 90454 91377 91728 92544 94472 95424 95436 96096 98406 99968 100256 102666 103376 103389 103488 104832 106281 107968 111328 111342 112112 112464 112788 114807 116298 118144 119777 121464 121836 122304 125244 126126 127248 128128 129899 131208 131586 132912 135681 136888 137852 138816 141708 142142 143136 144144 148456 149952 150384 153076 153517 153999 155064 155232 161952 162448 164736 166992 167013 168168 169664 174944 175448 177216 180908 182754 183456 188221 188944 190848 190872 192192 196812 197379 200512 205332 206752 206778 206976 212562 213213 215936 222443 222656 222684 224224 224928 225576 229614 232596 239554 241241 242928 243672 244608 250488 252252 254496 259798 262416 263172 265824 271362 273776 275704 277632 283416 284284 286272 288288 296912 299904 300768 306152 307034 307998 310128 310167 310464 323904 324896 333984 334026 336336 339328 344421 349888 350896 354432 359331 361816 365508 366912 376442 377888 381744 384384 389697 393624 394758 401024 407043 410664 413504 413556 425124 426426 444886 445312 445368 448448 449856 451152 459228 460551 465192 479108 482482 485856 487344 497497 500976 504504 508992 519596 524832 526344 531648 542724 547552 551408 564663 566832 568568 572544 576576 593824 601536 612304 614068 615996 620256 620334 620928 639639 647808 649792 667329 667968 668052 672672 688842 699776 701792 718662 723632 723723 731016 733824 752884 755776 763488 779394 787248 789516 814086 821328 827008 827112 838439 850248 852852 889772 890736 896896 899712 902304 918456 921102 930384 958216 964964 971712 974688 994994 1001952 1009008 1017984 1039192 1049664 1052688 1063296 1077993 1085448 1095104 1102816 1129326 1133664 1137136 1153152 1169091 1187648 1203072 1224608 1228136 1231992 1240512 1240668 1279278 1299584 1317547 1334658 1335936 1336104 1345344 1377684 1381653 1403584 1437324 1447264 1447446 1462032 1492491 1505768 1511552 1526976 1557101 1558788 1574496 1579032 1628172 1642656 1654224 1676878 1688687 1693989 1700496 1705704 1779544 1781472 1804608 1836912 1842204 1860768 1916432 1929928 1943424 1949376 1989988 2001987 2003904 2018016 2078384 2099328 2105376 2155986 2170896 2171169 2190208 2205632 2258652 2267328 2274272 2338182 2375296 2446873 2449216 2456272 2463984 2481024 2481336 2515317 2558556 2635094 2669316 2672208 2690688 2755368 2763306 2807168 2874648 2894528 2894892 2924064 2984982 3011536 3053952 3114202 3117576 3148992 3158064 3256344 3285312 3308448 3353756 3377374 3387978 3400992 3411408 3559088 3562944 3609216 3673824 3684408 3721536 3832864 3859856 3898752 3952641 3979976 4003974 4007808 4036032 4156768 4210752 4311972 4341792 4342338 4411264 4477473 4517304 4534656 4548544 4671303 4676364 4893746 4898432 4912544 4927968 4962672 5030634 5066061 5117112 5270188 5338632 5344416 5510736 5526612 5749296 5789056 5789784 5848128 5969964 6023072 6228404 6235152 6297984 6316128 6512688 6570624 6616896 6707512 6754748 6775956 6801984 6822816 7118176 7125888 7340619 7347648 7368816 7443072 7545951 7665728 7719712 7905282 7959952 8007948 8072064 8313536 8421504 8623944 8683584 8684676 8954946 9034608 9097088 9222829 9342606 9352728 9787492 9825088 9855936 9925344 10061268 10132122 10234224 10540376 10677264 10688832 10899707 11021472 11053224 11498592 11579568 11696256 11857923 11939928 12046144 12456808 12470304 12632256 13025376 13233792 13415024 13509496 13551912 13603968 13645632 14013909 14236352 14681238 14695296 14737632 15091902 15198183 15331456 15439424 15810564 15919904 16015896 16627072 17128111 17247888 17367168 17369352 17909892 18069216 18445658 18685212 18705456 19574984 19650176 19711872 19850688 20122536 20264244 20468448 21080752 21354528 21377664 21799414 22021857 22042944 22106448 22997184 23159136 23715846 23879856 24092288 24913616 24940608 25264512 26050752 26830048 27018992 27103824 27291264 27668487 28027818 28472704 29362476 29475264 30183804 30396366 30878848 31621128 31839808 32031792 32699121 34256222 34495776 34738704 35819784 36138432 36891316 37370424 37410912 39149968 39701376 40245072 40528488 40936896 42161504 42709056 43598828 44043714 44085888 44212896 45994368 46318272 47431692 47759712 49827232 49881216 51384333 52101504 53660096 54037984 54207648 55336974 56055636 58724952 58950528 60367608 60792732 63242256 63679616 64063584 65398242 68512444 68991552 69477408 71639568 72276864 73782632 74740848 74821824 78299936 80490144 81056976 81873792 83005461 84323008 85418112 87197656 88087428 88425792 92636544 94863384 95519424 98097363 99654464 102768666 107320192 108075968 108415296 110673948 112111272 117449904 119896777 120735216 121585464 126484512 128127168 130796484 137024888 137983104 138954816 143279136 147565264 149481696 149643648 154152999 156599872 160980288 162113952 166010922 168646016 174395312 176174856 176851584 189726768 191038848 196194726 199308928 205537332 216151936 216830592 221347896 224222544 234899808 239793554 241470432 243170928 252969024 256254336 261592968 274049776 277909632 286558272 295130528 298963392 308305998 313199744 321960576 324227904 332021844 348790624 352349712 359690331 379453536 392389452 411074664 442695792 448445088 469799616 479587108 482940864 486341856 505938048 523185936 548099552 573116544 590261056 597926784 616611996 648455808 664043688 697581248 704699424 719380662 758907072 784778904 822149328 885391584 896890176 939599232 959174216 965881728 972683712 1046371872 1079070993 1096199104 1180522112 1233223992 1328087376 1395162496 1409398848 1438761324 1517814144 1569557808 1644298656 1770783168 1793780352 1918348432 1945367424 2092743744 2158141986 2192398208 2466447984 2656174752 2818797696 2877522648 3139115616 3288597312 3541566336 3836696864 4185487488 4316283972 4932895968 5312349504 5755045296 6278231232 6577194624 7673393728 8632567944 9865791936 10624699008 11510090592 12556462464 15346787456 17265135888 19731583872 23020181184 34530271776 46040362368 69060543552 138121087104
- Sum of all divisors σ(n): 553115122560
- Sum of proper divisors (its aliquot sum) s(n): 414994035456
- 138121087104 is an abundant number, because the sum of its proper divisors (414994035456) is greater than itself. Its abundance is 276872948352
Bases of 138121087104
- Binary: 100000001010001010100010001000100000002
- Hexadecimal: 0x2028A88880
- Base-36: 1RG9Q8W0
Squares and roots of 138121087104
- 138121087104 squared (1381210871042) is 19077434702790755106816
- 138121087104 cubed (1381210871043) is 2634996020305034237994465560100864
-
The
square root of 138121087104 is 371646.4544483105 -
The
cube root of 138121087104 is 5169.1602493585
Scales and comparisons
How big is 138121087104?- 138,121,087,104 seconds is equal to 4,391 years, 42 weeks, 5 days, 16 hours, 38 minutes, 24 seconds.
-
To count from 1 to 138,121,087,104 would take you about eight thousand, seven hundred eighty-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 138121087104 cubic inches would be around 430.8 feet tall.
Recreational maths with 138121087104
- 138121087104 backwards is 401780121831
- 138121087104 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138121087104's digits is 36
- More coming soon!
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The information we have on file for 138121087104 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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