137145775066398
137,145,775,066,398 is an even composite number composed of six prime numbers multiplied together.
What does the number 137145775066398 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 360 divisors.
137145775066398 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 137145775066398:
2 × 32 × 72 × 29 × 714 × 211
(2 × 3 × 3 × 7 × 7 × 29 × 71 × 71 × 71 × 71 × 211)See below for interesting mathematical facts about the number 137145775066398 from the Numbermatics database.
Names of 137145775066398
- Cardinal: 137145775066398 can be written as One hundred thirty-seven trillion, one hundred forty-five billion, seven hundred seventy-five million, sixty-six thousand, three hundred ninety-eight.
Scientific notation
- Scientific notation: 1.37145775066398 × 1014
Factors of 137145775066398
Divisors of 137145775066398
- Number of divisors d(n): 360
-
Complete list of divisors:
1 2 3 6 7 9 14 18 21 29 42 49 58 63 71 87 98 126 142 147 174 203 211 213 261 294 406 422 426 441 497 522 609 633 639 882 994 1218 1266 1278 1421 1477 1491 1827 1899 2059 2842 2954 2982 3479 3654 3798 4118 4263 4431 4473 5041 6119 6177 6958 8526 8862 8946 10082 10339 10437 12238 12354 12789 13293 14413 14981 15123 18357 18531 20678 20874 25578 26586 28826 29962 30246 31017 31311 35287 36714 37062 42833 43239 44943 45369 55071 62034 62622 70574 85666 86478 89886 90738 93051 100891 104867 105861 110142 128499 129717 134829 146189 186102 201782 209734 211722 247009 256998 259434 269658 292378 299831 302673 314601 317583 357911 385497 434449 438567 494018 599662 605346 629202 635166 715822 734069 741027 770994 868898 877134 899493 908019 943803 1023323 1063651 1073733 1303347 1315701 1468138 1482054 1798986 1816038 1887606 2046646 2127302 2147466 2202207 2223081 2505377 2606694 2631402 2698479 3041143 3069969 3190953 3221199 3910041 4404414 4446162 5010754 5396958 6082286 6139938 6381906 6442398 6606621 7163261 7445557 7516131 7820082 9123429 9209907 9572859 10379419 13213242 14326522 14891114 15032262 17537639 18246858 18419814 19145718 20758838 21288001 21489783 22336671 22548393 25411681 27370287 30845879 31138257 35075278 42576002 42979566 44673342 45096786 50823362 52118899 52612917 54740574 61691758 62276514 63864003 64469349 67010013 72655933 75519221 76235043 92537637 93414771 104237798 105225834 127728006 128938698 134020026 145311866 151038442 152470086 156356697 157838751 177881767 185075274 186829542 191592009 215921153 217967799 226557663 228705129 277612911 312713394 315677502 355763534 383184018 431842306 435935598 453115326 457410258 469070091 508591531 528634547 533645301 555225822 647763459 653903397 679672989 736938749 938140182 1017183062 1057269094 1067290602 1245172369 1295526918 1307806794 1359345978 1473877498 1511448071 1525774593 1585903641 1600935903 1943290377 2190057409 2210816247 2490344738 3022896142 3051549186 3171807282 3201871806 3700441829 3735517107 3886580754 4380114818 4421632494 4534344213 4577323779 4757710923 5158571243 5361864691 6570172227 6632448741 7400883658 7471034214 9068688426 9154647558 9515421846 10317142486 10723729382 11101325487 11206551321 13140344454 13264897482 13603032639 15330401863 15475713729 16085594073 19710516681 22202650974 22413102642 27206065278 30660803726 30951427458 32171188146 33303976461 36109998701 37533052837 39421033362 45991205589 46427141187 48256782219 66607952922 72219997402 75066105674 91982411178 92854282374 96513564438 107312813041 108329996103 112599158511 137973616767 155494076039 214625626082 216659992206 225198317022 262731369859 275947233534 310988152078 321938439123 324989988309 337797475533 466482228117 525462739718 643876878246 649979976618 675594951066 788194109577 932964456234 965815317369 1088458532273 1399446684351 1576388219154 1931630634738 2176917064546 2364582328731 2798893368702 3265375596819 4729164657462 6530751193638 7619209725911 9796126790457 15238419451822 19592253580914 22857629177733 45715258355466 68572887533199 137145775066398
- Sum of all divisors σ(n): 364409996207400
- Sum of proper divisors (its aliquot sum) s(n): 227264221141002
- 137145775066398 is an abundant number, because the sum of its proper divisors (227264221141002) is greater than itself. Its abundance is 90118446074604
Bases of 137145775066398
- Binary: 111110010111011101111010011010010001101000111102
- Hexadecimal: 0x7CBBBD348D1E
- Base-36: 1CM3WDH4BI
Squares and roots of 137145775066398
- 137145775066398 squared (1371457750663982) is 18808963618563035341308694404
- 137145775066398 cubed (1371457750663983) is 2579569893663509434581518828866957791036792
-
The
square root of 137145775066398 is 11710925.4572983259 -
The
cube root of 137145775066398 is 51569.6453113475
Scales and comparisons
How big is 137145775066398?- 137,145,775,066,398 seconds is equal to 4,360,811 years, 22 weeks, 1 day, 13 hours, 33 minutes, 18 seconds.
-
To count from 1 to 137,145,775,066,398 would take you about ten million, nine hundred two thousand and twenty-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 137145775066398 cubic inches would be around 4297.5 feet tall.
Recreational maths with 137145775066398
- 137145775066398 backwards is 893660577541731
- The number of decimal digits it has is: 15
- The sum of 137145775066398's digits is 72
- More coming soon!
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