137378763526368
137,378,763,526,368 is an even composite number composed of five prime numbers multiplied together.
What does the number 137378763526368 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 432 divisors.
137378763526368 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 137378763526368:
25 × 3 × 72 × 132 × 5573
(2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 13 × 13 × 557 × 557 × 557)See below for interesting mathematical facts about the number 137378763526368 from the Numbermatics database.
Names of 137378763526368
- Cardinal: 137378763526368 can be written as One hundred thirty-seven trillion, three hundred seventy-eight billion, seven hundred sixty-three million, five hundred twenty-six thousand, three hundred sixty-eight.
Scientific notation
- Scientific notation: 1.37378763526368 × 1014
Factors of 137378763526368
Divisors of 137378763526368
- Number of divisors d(n): 432
-
Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 49 52 56 78 84 91 96 98 104 112 147 156 168 169 182 196 208 224 273 294 312 336 338 364 392 416 507 546 557 588 624 637 672 676 728 784 1014 1092 1114 1176 1183 1248 1274 1352 1456 1568 1671 1911 2028 2184 2228 2352 2366 2548 2704 2912 3342 3549 3822 3899 4056 4368 4456 4704 4732 5096 5408 6684 7098 7241 7644 7798 8112 8281 8736 8912 9464 10192 11697 13368 14196 14482 15288 15596 16224 16562 17824 18928 20384 21723 23394 24843 26736 27293 28392 28964 30576 31192 33124 37856 43446 46788 49686 50687 53472 54586 56784 57928 61152 62384 66248 81879 86892 93576 94133 99372 101374 109172 113568 115856 124768 132496 152061 163758 173784 187152 188266 198744 202748 218344 231712 264992 282399 304122 310249 327516 347568 354809 374304 376532 397488 405496 436688 564798 608244 620498 655032 658931 695136 709618 753064 794976 810992 873376 930747 1064427 1129596 1216488 1240996 1310064 1317862 1419236 1506128 1621984 1861494 1976793 2128854 2171743 2259192 2432976 2481992 2620128 2635724 2838472 3012256 3722988 3953586 4033237 4257708 4343486 4518384 4612517 4865952 4963984 5271448 5676944 6515229 7445976 7907172 8066474 8515416 8686972 9036768 9225034 9927968 10542896 11353888 12099711 13030458 13837551 14891952 15202201 15814344 16132948 17030832 17373944 18450068 21085792 24199422 26060916 27675102 28232659 29783904 30404402 31628688 32265896 34061664 34747888 36900136 45606603 48398844 52121832 52432081 55350204 56465318 60808804 63257376 64531792 69495776 73800272 84697977 91213206 96797688 104243664 104864162 110700408 112930636 121617608 129063584 147600544 157296243 169395954 172808693 182426412 193595376 197628613 208487328 209728324 221400816 225861272 243235216 314592486 338791908 345617386 364852824 367024567 387190752 395257226 419456648 442801632 451722544 486470432 518426079 592885839 629184972 677583816 691234772 729705648 734049134 790514452 838913296 903445088 1036852158 1101073701 1185771678 1209660851 1258369944 1355167632 1382469544 1459411296 1468098268 1581028904 1677826592 2073704316 2202147402 2246513009 2371543356 2419321702 2516739888 2569171969 2710335264 2764939088 2936196536 3162057808 3628982553 4147408632 4404294804 4493026018 4743086712 4838643404 5033479776 5138343938 5529878176 5872393072 6324115616 6739539027 7257965106 7707515907 8294817264 8467625957 8808589608 8986052036 9486173424 9677286808 10276687876 11744786144 13479078054 14515930212 15415031814 15725591063 16589634528 16935251914 17617179216 17972104072 18972346848 19354573616 20553375752 25402877871 26958156108 29031860424 29204669117 30830063628 31451182126 33870503828 35234358432 35944208144 38709147232 41106751504 47176773189 50805755742 53916312216 58063720848 58409338234 61660127256 62902364252 67741007656 71888416288 82213503008 87614007351 94353546378 101611511484 107832624432 110079137441 116127441696 116818676468 123320254512 125804728504 135482015312 175228014702 188707092756 203223022968 204432683819 215665248864 220158274882 233637352936 246640509024 251609457008 270964030624 330237412323 350456029404 377414185512 406446045936 408865367638 440316549764 467274705872 503218914016 613298051457 660474824646 700912058808 754828371024 812892091872 817730735276 880633099528 934549411744 1226596102914 1320949649292 1401824117616 1431028786733 1509656742048 1635461470552 1761266199056 2453192205828 2641899298584 2803648235232 2862057573466 3270922941104 3522532398112 4293086360199 4906384411656 5283798597168 5724115146932 6541845882208 8586172720398 9812768823312 10567597194336 11448230293864 17172345440796 19625537646624 22896460587728 34344690881592 45792921175456 68689381763184 137378763526368
- Sum of all divisors σ(n): 455063995134000
- Sum of proper divisors (its aliquot sum) s(n): 317685231607632
- 137378763526368 is an abundant number, because the sum of its proper divisors (317685231607632) is greater than itself. Its abundance is 180306468081264
Bases of 137378763526368
- Binary: 111110011110001111111000110011001010000111000002
- Hexadecimal: 0x7CF1FC6650E0
- Base-36: 1CP2XKSELC
Squares and roots of 137378763526368
- 137378763526368 squared (1373787635263682) is 18872924668033738722631271424
- 137378763526368 cubed (1373787635263683) is 2592739055020764279643867157300345588908032
-
The
square root of 137378763526368 is 11720868.7189289855 -
The
cube root of 137378763526368 is 51598.8316150683
Scales and comparisons
How big is 137378763526368?- 137,378,763,526,368 seconds is equal to 4,368,219 years, 38 weeks, 3 days, 6 hours, 12 minutes, 48 seconds.
-
To count from 1 to 137,378,763,526,368 would take you about ten million, nine hundred twenty thousand, five hundred forty-nine 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 137378763526368 cubic inches would be around 4299.9 feet tall.
Recreational maths with 137378763526368
- 137378763526368 backwards is 863625367873731
- The number of decimal digits it has is: 15
- The sum of 137378763526368's digits is 75
- More coming soon!
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