138039900768
138,039,900,768 is an even composite number composed of six prime numbers multiplied together.
138039900768 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 138039900768:
25 × 32 × 72 × 11 × 232 × 412
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 11 × 23 × 23 × 41 × 41)See below for interesting mathematical facts about the number 138039900768 from the Numbermatics database.
Names of 138039900768
- Cardinal: 138039900768 can be written as One hundred thirty-eight billion, thirty-nine million, nine hundred thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 1.38039900768 × 1011
Factors of 138039900768
Divisors of 138039900768
- Number of divisors d(n): 972
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 23 24 28 32 33 36 41 42 44 46 48 49 56 63 66 69 72 77 82 84 88 92 96 98 99 112 123 126 132 138 144 147 154 161 164 168 176 184 196 198 207 224 231 246 252 253 264 276 287 288 294 308 322 328 336 352 368 369 392 396 414 441 451 462 483 492 504 506 528 529 539 552 574 588 616 644 656 672 693 736 738 759 784 792 828 861 882 902 924 943 966 984 1008 1012 1056 1058 1078 1104 1127 1148 1176 1232 1288 1312 1353 1386 1449 1476 1518 1568 1584 1587 1617 1656 1681 1722 1764 1771 1804 1848 1886 1932 1968 2009 2016 2024 2116 2156 2208 2254 2277 2296 2352 2464 2576 2583 2706 2772 2829 2898 2952 3036 3157 3168 3174 3234 3312 3362 3381 3444 3528 3542 3608 3696 3703 3772 3864 3936 4018 4048 4059 4232 4312 4508 4554 4592 4704 4761 4851 5043 5152 5166 5313 5412 5544 5658 5796 5819 5904 6027 6072 6314 6348 6468 6601 6624 6724 6762 6888 7056 7084 7216 7392 7406 7544 7728 8036 8096 8118 8464 8487 8624 9016 9108 9184 9471 9522 9702 10086 10143 10332 10373 10626 10824 11088 11109 11316 11592 11638 11767 11808 12054 12144 12397 12628 12696 12936 13202 13448 13524 13776 14112 14168 14432 14812 15088 15129 15456 15939 16072 16236 16928 16974 17248 17457 18032 18081 18216 18491 18942 19044 19404 19803 20172 20286 20664 20746 21252 21648 21689 22099 22176 22218 22632 23184 23276 23534 24108 24288 24794 25256 25392 25872 25921 26404 26896 27048 27552 28336 28413 29624 30176 30258 31119 31878 32144 32472 33327 33948 34914 35301 36064 36162 36432 36982 37191 37884 38088 38663 38808 39606 40344 40572 40733 41328 41492 42504 43296 43378 44198 44436 45264 46207 46368 46552 47068 48216 49588 50512 50784 51744 51842 52371 52808 53792 54096 55473 56672 56826 59248 59409 60516 62238 63756 64288 64944 65067 66297 66654 67896 69828 70602 72324 72611 72864 73964 74382 75768 76176 77326 77616 77763 79212 80688 81144 81466 82369 82656 82984 85008 86756 88396 88872 90528 92414 93104 93357 94136 96432 99176 101024 103684 104742 105616 105903 108192 110946 111573 113652 115989 118496 118818 121032 122199 124476 127512 129437 129888 130134 132594 133308 135792 138621 139656 141204 144648 145222 147928 148764 151536 151823 152352 154652 155232 155526 158424 161376 162288 162932 164738 165968 166419 170016 173512 176792 177744 184828 186208 186714 188272 192864 195201 198352 198891 207368 209484 211232 211806 217833 221892 223146 227304 231978 233289 237636 238579 242064 244398 247107 248952 255024 258874 260268 265188 266616 270641 271584 277242 279312 282408 285131 289296 290444 295856 297528 303072 303646 309304 311052 316848 324576 325864 329476 331936 332838 347024 347967 353584 355488 366597 369656 373428 376544 388311 390402 396704 397782 414736 415863 418968 423612 425293 435666 443784 446292 454608 455469 463956 466578 475272 477158 484128 488796 494214 497904 508277 510048 517748 520536 530376 533232 541282 554484 558624 564816 570262 578592 580888 591712 595056 607292 618608 622104 633696 651728 653499 658952 665676 694048 695934 707168 715737 733194 739312 741321 746856 776622 780804 795564 811923 829472 831726 837936 847224 850586 855393 871332 887568 889249 892584 906059 909216 910938 927912 933156 950544 954316 977592 988428 995808 1016554 1035496 1041072 1060752 1062761 1066464 1082564 1108968 1129632 1140524 1161776 1164933 1190112 1214584 1237216 1244208 1275879 1303456 1306998 1317904 1331352 1366407 1391868 1431474 1466388 1478624 1482642 1493712 1524831 1553244 1561608 1591128 1623846 1663452 1670053 1675872 1694448 1701172 1710786 1742664 1775136 1778498 1785168 1812118 1821876 1855824 1866312 1894487 1901088 1908632 1955184 1976856 2033108 2070992 2082144 2121504 2125522 2147211 2165128 2217936 2281048 2323552 2329866 2429168 2435769 2488416 2551758 2566179 2613996 2635808 2662704 2667747 2718177 2732814 2783736 2862948 2932776 2965284 2977051 2987424 3049662 3106488 3123216 3182256 3188283 3247692 3326904 3340106 3388896 3402344 3421572 3485328 3556996 3570336 3624236 3643752 3711648 3732624 3788974 3817264 3827637 3910368 3953712 4066216 4141984 4251044 4294422 4330256 4435872 4562096 4574493 4659732 4858336 4871538 5010159 5103516 5132358 5227992 5325408 5335494 5436354 5465628 5567472 5683461 5725896 5865552 5930568 5954102 6099324 6212976 6224743 6246432 6364512 6376566 6495384 6653808 6680212 6804688 6843144 6970656 7113992 7248472 7287504 7465248 7577948 7634528 7655274 7907424 8003241 8132432 8154531 8502088 8588844 8660512 8931153 9124192 9148986 9319464 9564849 9743076 9781739 10020318 10207032 10264716 10455984 10670988 10872708 10931256 11134944 11366922 11451792 11690371 11731104 11861136 11908204 12198648 12425952 12449486 12753132 12990768 13307616 13360424 13609376 13686288 14227984 14496944 14575008 15030477 15155896 15310548 16006482 16264864 16309062 17004176 17050383 17177688 17862306 18297972 18638928 18674229 19129698 19486152 19563478 20040636 20414064 20529432 20839357 20911968 21341976 21745416 21862512 22733844 22903584 23380742 23722272 23816408 24397296 24898972 25506264 25981536 26720848 26793459 27372576 28455968 28993888 29345217 30060954 30311792 30621096 32012964 32618124 34008352 34100766 34355376 35071113 35724612 36595944 37277856 37348458 38259396 38972304 39126956 40081272 40828128 41058864 41678714 42683952 43490832 43573201 43725024 45467688 46761484 47632816 48794592 49797944 51012528 53441696 53586918 56022687 58690434 60121908 60623584 61242192 62518071 64025928 65236248 68201532 68472173 68710752 70142226 71449224 73191888 74696916 76518792 77944608 78253912 80162544 82117728 83357428 85367904 86981664 87146402 88035651 90935376 93522968 95265632 99595888 102025056 105213339 107173836 112045374 117380868 120243816 122484384 125036142 128051856 130472496 130719603 136403064 136944346 140284452 142898448 146383776 149393832 153037584 156507824 160325088 166714856 174292804 176071302 181870752 187045936 187554213 199191776 205416519 210426678 214347672 224090748 234761736 240487632 250072284 256103712 260944992 261439206 272806128 273888692 280568904 285796896 298787664 306075168 313015648 333429712 348585608 352142604 374091872 375108426 392158809 410833038 420853356 428695344 448181496 469523472 479305211 480975264 500144568 522878412 545612256 547777384 561137808 597575328 616249557 666859424 697171216 704285208 750216852 784317618 821666076 841706712 857390688 896362992 939046944 958610422 1000289136 1045756824 1095554768 1122275616 1232499114 1394342432 1408570416 1437915633 1500433704 1568635236 1643332152 1683413424 1792725984 1917220844 2000578272 2091513648 2191109536 2464998228 2817140832 2875831266 3000867408 3137270472 3286664304 3366826848 3834441688 4183027296 4313746899 4929996456 5751662532 6001734816 6274540944 6573328608 7668883376 8627493798 9859992912 11503325064 12549081888 15337766752 17254987596 19719985824 23006650128 34509975192 46013300256 69019950384 138039900768
- Sum of all divisors σ(n): 533765392524
- Sum of proper divisors (its aliquot sum) s(n): 395725491756
- 138039900768 is an abundant number, because the sum of its proper divisors (395725491756) is greater than itself. Its abundance is 257685590988
Bases of 138039900768
- Binary: 100000001000111101000110111010011000002
- Hexadecimal: 0x2023D1BA60
- Base-36: 1REXE540
Squares and roots of 138039900768
- 138039900768 squared (1380399007682) is 19055014204039286989824
- 138039900768 cubed (1380399007683) is 2630352269858413680848778385784832
-
The
square root of 138039900768 is 371537.2131671335 -
The
cube root of 138039900768 is 5168.1472555145
Scales and comparisons
How big is 138039900768?- 138,039,900,768 seconds is equal to 4,389 years, 12 weeks, 4 days, 52 minutes, 48 seconds.
-
To count from 1 to 138,039,900,768 would take you about eight thousand, seven hundred seventy-eight 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 138039900768 cubic inches would be around 430.7 feet tall.
Recreational maths with 138039900768
- 138039900768 backwards is 867009930831
- The number of decimal digits it has is: 12
- The sum of 138039900768's digits is 54
- More coming soon!
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The information we have on file for 138039900768 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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