131377917680385264
131,377,917,680,385,264 is an even composite number composed of six prime numbers multiplied together.
131377917680385264 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 131377917680385264:
24 × 33 × 7 × 1753 × 10501 × 2360087
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 1753 × 10501 × 2360087)See below for interesting mathematical facts about the number 131377917680385264 from the Numbermatics database.
Names of 131377917680385264
- Cardinal: 131377917680385264 can be written as One hundred thirty-one quadrillion, three hundred seventy-seven trillion, nine hundred seventeen billion, six hundred eighty million, three hundred eighty-five thousand, two hundred sixty-four.
Scientific notation
- Scientific notation: 1.31377917680385264 × 1017
Factors of 131377917680385264
Divisors of 131377917680385264
- Number of divisors d(n): 320
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 1753 3024 3506 5259 7012 10501 10518 12271 14024 15777 21002 21036 24542 28048 31503 31554 36813 42004 42072 47331 49084 63006 63108 73507 73626 84008 84144 94509 94662 98168 110439 126012 126216 147014 147252 168016 189018 189324 196336 220521 220878 252024 252432 283527 294028 294504 331317 378036 378648 441042 441756 504048 567054 588056 589008 661563 662634 756072 757296 882084 883512 1134108 1176112 1323126 1325268 1512144 1764168 1767024 1984689 2268216 2360087 2646252 2650536 3528336 3969378 4536432 4720174 5292504 5301072 7080261 7938756 9440348 10585008 14160522 15877512 16520609 18408253 18880696 21240783 28321044 31755024 33041218 36816506 37761392 42481566 49561827 55224759 56642088 63722349 66082436 73633012 84963132 99123654 110449518 113284176 127444698 128857771 132164872 147266024 148685481 165674277 169926264 198247308 220899036 254889396 257715542 264329744 294532048 297370962 331348554 339852528 386573313 396494616 441798072 446056443 497022831 509778792 515431084 594741924 662697108 773146626 792989232 883596144 892112886 994045662 1019557584 1030862168 1159719939 1189483848 1325394216 1546293252 1784225772 1988091324 2061724336 2319439878 2378967696 2650788432 3092586504 3479159817 3568451544 3976182648 4137232511 4638879756 6185173008 6958319634 7136903088 7952365296 8274465022 9277759512 12411697533 13916639268 16548930044 18555519024 24783273587 24823395066 27833278536 28960627577 33097860088 37235092599 49566547174 49646790132 55666557072 57921255154 66195720176 74349820761 74470185198 86881882731 99133094348 99293580264 111705277797 115842510308 148699641522 148940370396 173482915109 173763765462 198266188696 198587160528 223049462283 223410555594 231685020616 260645648193 297399283044 297880740792 346965830218 347527530924 396532377392 446098924566 446821111188 463370041232 520448745327 521291296386 594798566088 595761481584 669148386849 693931660436 695055061848 781936944579 892197849132 893642222376 1040897490654 1042582592772 1189597132176 1338296773698 1387863320872 1390110123696 1561346235981 1563873889158 1784395698264 1787284444752 2081794981308 2085165185544 2676593547396 2775726641744 3122692471962 3127747778316 3568791396528 4163589962616 4170330371088 4684038707943 5353187094792 6245384943924 6255495556632 8327179925232 9368077415886 10706374189584 12490769887848 12510991113264 18736154831772 24981539775696 37472309663544 43445078598011 74944619327088 86890157196022 130335235794033 173780314392044 260670471588066 304115550186077 347560628784088 391005707382099 521340943176132 608231100372154 695121257568176 782011414764198 912346650558231 1042681886352264 1173017122146297 1216462200744308 1564022829528396 1824693301116462 2085363772704528 2346034244292594 2432924401488616 2737039951674693 3128045659056792 3649386602232924 4692068488585188 4865848802977232 5474079903349386 6256091318113584 7298773204465848 8211119855024079 9384136977170376 10948159806698772 14597546408931696 16422239710048158 18768273954340752 21896319613397544 32844479420096316 43792639226795088 65688958840192632 131377917680385264
- Sum of all divisors σ(n): 431262277256263680
- Sum of proper divisors (its aliquot sum) s(n): 299884359575878416
- 131377917680385264 is an abundant number, because the sum of its proper divisors (299884359575878416) is greater than itself. Its abundance is 168506441895493152
Bases of 131377917680385264
- Binary: 1110100101011111110000101001000101010101101111100111100002
- Hexadecimal: 0x1D2BF8522AB7CF0
- Base-36: ZXLL26LL5O0
Squares and roots of 131377917680385264
- 131377917680385264 squared (1313779176803852642) is 17260157254034086946554283468349696
- 131377917680385264 cubed (1313779176803852643) is 2267603518870994840002689401629608536007175557279744
-
The
square root of 131377917680385264 is 362460918.8317897315 -
The
cube root of 131377917680385264 is 508363.2232952209
Scales and comparisons
How big is 131377917680385264?- 131,377,917,680,385,264 seconds is equal to 4,177,411,403 years, 34 weeks, 9 hours, 14 minutes, 24 seconds.
-
To count from 1 to 131,377,917,680,385,264 would take you about twelve billion, five hundred thirty-two million, two hundred thirty-four thousand, two hundred ten 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 131377917680385264 cubic inches would be around 42363.6 feet tall.
Recreational maths with 131377917680385264
- 131377917680385264 backwards is 462583086719773131
- The number of decimal digits it has is: 18
- The sum of 131377917680385264's digits is 81
- More coming soon!
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