137790319680
137,790,319,680 is an even composite number composed of six prime numbers multiplied together.
137790319680 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 137790319680:
26 × 32 × 5 × 13 × 113 × 32569
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 113 × 32569)See below for interesting mathematical facts about the number 137790319680 from the Numbermatics database.
Names of 137790319680
- Cardinal: 137790319680 can be written as One hundred thirty-seven billion, seven hundred ninety million, three hundred nineteen thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.3779031968 × 1011
Factors of 137790319680
Divisors of 137790319680
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 64 65 72 78 80 90 96 104 113 117 120 130 144 156 160 180 192 195 208 226 234 240 260 288 312 320 339 360 390 416 452 468 480 520 565 576 585 624 678 720 780 832 904 936 960 1017 1040 1130 1170 1248 1356 1440 1469 1560 1695 1808 1872 2034 2080 2260 2340 2496 2712 2880 2938 3120 3390 3616 3744 4068 4160 4407 4520 4680 5085 5424 5876 6240 6780 7232 7345 7488 8136 8814 9040 9360 10170 10848 11752 12480 13221 13560 14690 16272 17628 18080 18720 20340 21696 22035 23504 26442 27120 29380 32544 32569 35256 36160 37440 40680 44070 47008 52884 54240 58760 65088 65138 66105 70512 81360 88140 94016 97707 105768 108480 117520 130276 132210 141024 162720 162845 176280 195414 211536 235040 260552 264420 282048 293121 325440 325690 352560 390828 423072 423397 470080 488535 521104 528840 586242 651380 705120 781656 846144 846794 977070 1042208 1057680 1172484 1270191 1302760 1410240 1465605 1563312 1693588 1954140 2084416 2115360 2116985 2344968 2540382 2605520 2931210 3126624 3387176 3680297 3810573 3908280 4230720 4233970 4689936 5080764 5211040 5862420 6253248 6350955 6774352 7360594 7621146 7816560 8467940 9379872 10161528 10422080 11040891 11724840 12701910 13548704 14721188 15242292 15633120 16935880 18401485 18759744 19052865 20323056 22081782 23449680 25403820 27097408 29442376 30484584 31266240 33122673 33871760 36802970 38105730 40646112 44163564 46899360 47843861 50807640 55204455 58884752 60969168 66245346 67743520 73605940 76211460 81292224 88327128 93798720 95687722 101615280 110408910 117769504 121938336 132490692 135487040 143531583 147211880 152422920 165613365 176654256 191375444 203230560 220817820 235539008 239219305 243876672 264981384 287063166 294423760 304845840 331226730 353308512 382750888 406461120 430594749 441635640 478438610 529962768 574126332 588847520 609691680 662453460 706617024 717657915 765501776 861189498 883271280 956877220 1059925536 1148252664 1177695040 1219383360 1324906920 1435315830 1531003552 1722378996 1766542560 1913754440 2119851072 2152973745 2296505328 2649813840 2870631660 3062007104 3444757992 3533085120 3827508880 4305947490 4593010656 5299627680 5741263320 6889515984 7655017760 8611894980 9186021312 10599255360 11482526640 13779031968 15310035520 17223789960 22965053280 27558063936 34447579920 45930106560 68895159840 137790319680
- Sum of all divisors σ(n): 514930918320
- Sum of proper divisors (its aliquot sum) s(n): 377140598640
- 137790319680 is an abundant number, because the sum of its proper divisors (377140598640) is greater than itself. Its abundance is 239350278960
Bases of 137790319680
- Binary: 100000000101001111000101101100010000002
- Hexadecimal: 0x2014F16C40
- Base-36: 1RASSR40
Squares and roots of 137790319680
- 137790319680 squared (1377903196802) is 18986172197516595302400
- 137790319680 cubed (1377903196803) is 2616110736595339768822882271232000
-
The
square root of 137790319680 is 371201.1849119019 -
The
cube root of 137790319680 is 5165.0306446223
Scales and comparisons
How big is 137790319680?- 137,790,319,680 seconds is equal to 4,381 years, 15 weeks, 6 days, 8 hours, 48 minutes.
-
To count from 1 to 137,790,319,680 would take you about eight thousand, seven hundred sixty-two 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 137790319680 cubic inches would be around 430.4 feet tall.
Recreational maths with 137790319680
- 137790319680 backwards is 086913097731
- The number of decimal digits it has is: 12
- The sum of 137790319680's digits is 54
- More coming soon!
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