138919600512
138,919,600,512 is an even composite number composed of five prime numbers multiplied together.
138919600512 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138919600512:
27 × 32 × 72 × 113 × 432
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 11 × 11 × 11 × 43 × 43)See below for interesting mathematical facts about the number 138919600512 from the Numbermatics database.
Names of 138919600512
- Cardinal: 138919600512 can be written as One hundred thirty-eight billion, nine hundred nineteen million, six hundred thousand, five hundred twelve.
Scientific notation
- Scientific notation: 1.38919600512 × 1011
Factors of 138919600512
Divisors of 138919600512
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 32 33 36 42 43 44 48 49 56 63 64 66 72 77 84 86 88 96 98 99 112 121 126 128 129 132 144 147 154 168 172 176 192 196 198 224 231 242 252 258 264 288 294 301 308 336 344 352 363 384 387 392 396 441 448 462 473 484 504 516 528 539 576 588 602 616 672 688 693 704 726 774 784 792 847 882 896 903 924 946 968 1008 1032 1056 1078 1089 1152 1176 1204 1232 1331 1344 1376 1386 1408 1419 1452 1548 1568 1584 1617 1694 1764 1806 1848 1849 1892 1936 2016 2064 2107 2112 2156 2178 2352 2408 2464 2541 2662 2688 2709 2752 2772 2838 2904 3096 3136 3168 3234 3311 3388 3528 3612 3696 3698 3784 3872 3993 4032 4128 4214 4224 4257 4312 4356 4704 4816 4851 4928 5082 5203 5324 5418 5504 5544 5547 5676 5808 5929 6192 6272 6321 6336 6468 6622 6776 7056 7224 7392 7396 7568 7623 7744 7986 8064 8256 8428 8514 8624 8712 9317 9408 9632 9702 9856 9933 10164 10406 10648 10836 11088 11094 11352 11616 11858 11979 12384 12642 12672 12936 12943 13244 13552 14112 14448 14784 14792 15136 15246 15488 15609 15972 16512 16641 16856 17028 17248 17424 17787 18634 18816 18963 19264 19404 19866 20328 20339 20812 21296 21672 22176 22188 22704 23177 23232 23716 23958 24768 25284 25872 25886 26488 27104 27951 28224 28896 29568 29584 29799 30272 30492 31218 31944 33282 33712 34056 34496 34848 35574 36421 37268 37926 38528 38808 38829 39732 40656 40678 41624 42592 43344 44352 44376 45408 46354 46464 46827 47432 47916 49536 50568 51744 51772 52976 53361 54208 55902 56448 57233 57792 59168 59598 60544 60984 61017 62436 63888 65219 66564 67424 68112 68992 69531 69696 71148 72842 74536 75852 77616 77658 79464 81312 81356 83248 83853 85184 86688 88704 88752 90601 90816 92708 93654 94864 95832 101136 103488 103544 105952 106722 108416 109263 111804 114466 115584 116487 118336 119196 121968 122034 124872 127776 130438 133128 134848 136224 139062 139392 142296 142373 145684 149072 151704 155232 155316 158928 162624 162712 166496 167706 170368 171699 173376 177504 181202 181632 183051 185416 187308 189728 191664 195657 202272 206976 207088 208593 211904 213444 218526 223608 223729 228932 232974 236672 238392 243936 244068 249744 254947 255552 260876 266256 269696 271803 272448 278124 284592 284746 291368 298144 303408 310464 310632 317856 325248 325424 327789 332992 335412 343398 346752 355008 362404 366102 370832 374616 379456 383328 391314 400631 404544 414176 417186 423808 426888 427119 437052 447216 447458 457864 465948 476784 487872 488136 499488 509894 511104 515097 521752 532512 543606 544896 556248 569184 569492 582736 586971 596288 606816 620928 621264 635712 650848 655578 665984 670824 671187 686796 710016 724808 732204 741664 749232 758912 764841 766656 782628 801262 809088 815409 828352 834372 853776 854238 874104 894432 894916 915728 931896 953568 975744 976272 996611 998976 1019788 1030194 1043504 1065024 1087212 1112496 1138368 1138984 1165472 1173942 1192576 1201893 1213632 1242528 1271424 1281357 1301696 1311156 1341648 1342374 1373592 1449616 1464408 1483328 1498464 1529682 1533312 1565256 1566103 1602524 1630818 1656704 1668744 1707552 1708476 1748208 1788864 1789832 1831456 1863792 1907136 1952544 1993222 1997952 2013561 2039576 2060388 2087008 2130048 2174424 2224992 2276736 2277968 2294523 2330944 2347884 2403786 2427264 2461019 2485056 2562714 2603392 2622312 2683296 2684748 2747184 2804417 2899232 2928816 2966656 2989833 2996928 3059364 3130512 3132206 3205048 3261636 3337488 3415104 3416952 3496416 3577728 3579664 3605679 3662912 3727584 3814272 3905088 3986444 4027122 4079152 4120776 4174016 4348848 4449984 4555936 4589046 4661888 4695768 4698309 4807572 4922038 4970112 5125428 5244624 5366592 5369496 5494368 5608834 5798464 5857632 5979666 5993856 6118728 6261024 6264412 6410096 6523272 6674976 6830208 6833904 6992832 7159328 7211358 7325824 7383057 7455168 7810176 7972888 8054244 8158304 8241552 8348032 8413251 8697696 8899968 8969499 9111872 9178092 9391536 9396618 9615144 9844076 10250856 10489248 10733184 10738992 10962721 10988736 11217668 11596928 11715264 11959332 12237456 12522048 12528824 12820192 13046544 13349952 13667808 13985664 14094927 14318656 14422716 14766114 14910336 15945776 16108488 16316608 16483104 16826502 17227133 17395392 17938998 18223744 18356184 18783072 18793236 19230288 19688152 20501712 20978496 21477984 21925442 21977472 22149171 22435336 23430528 23918664 24474912 25044096 25057648 25239753 25640384 26093088 26699904 27335616 28189854 28637312 28845432 29532228 31891552 32216976 32633216 32888163 32966208 33653004 34454266 34790784 35877996 36712368 37566144 37586472 38460576 39376304 41003424 41956992 42955968 43850884 44298342 44870672 47837328 48949824 50115296 50479506 51280768 51681399 52186176 54671232 56379708 57690864 59064456 63783104 64433952 65776326 65932416 67306008 68908532 71755992 73424736 75132288 75172944 76921152 78752608 82006848 85911936 87701768 88596684 89741344 95674656 97899648 98664489 100230592 100959012 103362798 104372352 112759416 115381728 118128912 120589931 127566208 128867904 131552652 134612016 137817064 143511984 146849472 150345888 153842304 155044197 157505216 164013696 175403536 177193368 179482688 191349312 197328978 200461184 201918024 206725596 225518832 230763456 236257824 241179862 257735808 263105304 269224032 275634128 287023968 293698944 300691776 310088394 315010432 350807072 354386736 358965376 361769793 382698624 394657956 403836048 413451192 451037664 461526912 472515648 482359724 526210608 538448064 551268256 574047936 601383552 620176788 701614144 708773472 723539586 789315912 807672096 826902384 902075328 945031296 964719448 1052421216 1076896128 1085309379 1102536512 1148095872 1240353576 1403228288 1417546944 1447079172 1578631824 1615344192 1653804768 1804150656 1929438896 2104842432 2170618758 2205073024 2480707152 2835093888 2894158344 3157263648 3230688384 3307609536 3858877792 4209684864 4341237516 4961414304 5788316688 6314527296 6615219072 7717755584 8682475032 9922828608 11576633376 12629054592 15435511168 17364950064 19845657216 23153266752 34729900128 46306533504 69459800256 138919600512
- Sum of all divisors σ(n): 523660817160
- Sum of proper divisors (its aliquot sum) s(n): 384741216648
- 138919600512 is an abundant number, because the sum of its proper divisors (384741216648) is greater than itself. Its abundance is 245821616136
Bases of 138919600512
- Binary: 100000010110000100000011100001100000002
- Hexadecimal: 0x205840E180
- Base-36: 1RTH55S0
Squares and roots of 138919600512
- 138919600512 squared (1389196005122) is 19298655406413670662144
- 138919600512 cubed (1389196005123) is 2680961499477736131000579001417728
-
The
square root of 138919600512 is 372719.1979386091 -
The
cube root of 138919600512 is 5179.1025277393
Scales and comparisons
How big is 138919600512?- 138,919,600,512 seconds is equal to 4,417 years, 11 weeks, 17 hours, 55 minutes, 12 seconds.
-
To count from 1 to 138,919,600,512 would take you about eight thousand, eight hundred thirty-four 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 138919600512 cubic inches would be around 431.6 feet tall.
Recreational maths with 138919600512
- 138919600512 backwards is 215006919831
- The number of decimal digits it has is: 12
- The sum of 138919600512's digits is 45
- More coming soon!
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