138978508032
138,978,508,032 is an even composite number composed of six prime numbers multiplied together.
138978508032 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 138978508032:
28 × 32 × 7 × 13 × 101 × 6563
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 13 × 101 × 6563)See below for interesting mathematical facts about the number 138978508032 from the Numbermatics database.
Names of 138978508032
- Cardinal: 138978508032 can be written as One hundred thirty-eight billion, nine hundred seventy-eight million, five hundred eight thousand and thirty-two.
Scientific notation
- Scientific notation: 1.38978508032 × 1011
Factors of 138978508032
Divisors of 138978508032
- Number of divisors d(n): 432
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 64 72 78 84 91 96 101 104 112 117 126 128 144 156 168 182 192 202 208 224 234 252 256 273 288 303 312 336 364 384 404 416 448 468 504 546 576 606 624 672 707 728 768 808 819 832 896 909 936 1008 1092 1152 1212 1248 1313 1344 1414 1456 1616 1638 1664 1792 1818 1872 2016 2121 2184 2304 2424 2496 2626 2688 2828 2912 3232 3276 3328 3636 3744 3939 4032 4242 4368 4848 4992 5252 5376 5656 5824 6363 6464 6552 6563 7272 7488 7878 8064 8484 8736 9191 9696 9984 10504 11312 11648 11817 12726 12928 13104 13126 14544 14976 15756 16128 16968 17472 18382 19392 19689 21008 22624 23296 23634 25452 25856 26208 26252 27573 29088 29952 31512 33936 34944 36764 38784 39378 42016 45248 45941 47268 50904 52416 52504 55146 58176 59067 63024 67872 69888 73528 77568 78756 82719 84032 85319 90496 91882 94536 101808 104832 105008 110292 116352 118134 126048 135744 137823 147056 157512 165438 168064 170638 180992 183764 189072 203616 209664 210016 220584 232704 236268 252096 255957 271488 275646 294112 315024 330876 336128 341276 367528 378144 407232 413469 420032 441168 472536 504192 511914 542976 551292 588224 597233 630048 661752 662863 682552 735056 756288 767871 814464 826938 840064 882336 945072 1008384 1023828 1102584 1176448 1194466 1260096 1323504 1325726 1365104 1470112 1512576 1535742 1628928 1653876 1680128 1764672 1791699 1890144 1988589 2047656 2205168 2352896 2388932 2520192 2647008 2651452 2730208 2940224 3025152 3071484 3307752 3529344 3583398 3780288 3977178 4095312 4410336 4640041 4777864 5040384 5294016 5302904 5375097 5460416 5880448 5965767 6142968 6615504 7058688 7166796 7560576 7954356 8190624 8617219 8820672 9280082 9555728 10588032 10605808 10750194 10920832 11760896 11931534 12285936 13231008 13920123 14333592 15121152 15908712 16381248 17234438 17641344 18560164 19111456 21176064 21211616 21500388 21841664 23863068 24571872 25851657 26462016 27840246 28667184 31817424 32762496 34468876 35282688 37120328 38222912 41760369 42423232 43000776 47726136 49143744 51703314 52924032 55680492 57334368 60320533 63634848 65524992 68937752 74240656 76445824 77554971 83520738 84846464 86001552 95452272 98287488 103406628 105848064 111360984 114668736 120641066 127269696 137875504 148481312 152891648 155109942 167041476 169692928 172003104 180961599 190904544 196574976 206813256 222721968 229337472 241282132 254539392 275751008 296962624 310219884 334082952 344006208 361923198 381809088 413626512 445443936 458674944 482564264 509078784 542884797 551502016 593925248 620439768 668165904 688012416 723846396 763618176 827253024 890887872 965128528 1085769594 1103004032 1187850496 1240879536 1336331808 1376024832 1447692792 1527236352 1654506048 1781775744 1930257056 2171539188 2206008064 2481759072 2672663616 2895385584 3309012096 3563551488 3860514112 4343078376 4963518144 5345327232 5790771168 6618024192 7721028224 8686156752 9927036288 10690654464 11581542336 15442056448 17372313504 19854072576 23163084672 34744627008 46326169344 69489254016 138978508032
- Sum of all divisors σ(n): 498139544448
- Sum of proper divisors (its aliquot sum) s(n): 359161036416
- 138978508032 is an abundant number, because the sum of its proper divisors (359161036416) is greater than itself. Its abundance is 220182528384
Bases of 138978508032
- Binary: 100000010110111100001110111101000000002
- Hexadecimal: 0x205BC3BD00
- Base-36: 1RUG7R40
Squares and roots of 138978508032
- 138978508032 squared (1389785080322) is 19315025694800688513024
- 138978508032 cubed (1389785080323) is 2684373453663143869146436120608768
-
The
square root of 138978508032 is 372798.2135579515 -
The
cube root of 138978508032 is 5179.8344738231
Scales and comparisons
How big is 138978508032?- 138,978,508,032 seconds is equal to 4,419 years, 4 weeks, 3 days, 13 hours, 7 minutes, 12 seconds.
-
To count from 1 to 138,978,508,032 would take you about eight thousand, eight hundred thirty-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 138978508032 cubic inches would be around 431.7 feet tall.
Recreational maths with 138978508032
- 138978508032 backwards is 230805879831
- The number of decimal digits it has is: 12
- The sum of 138978508032's digits is 54
- More coming soon!
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