137934878450943168
137,934,878,450,943,168 is an even composite number composed of five prime numbers multiplied together.
What does the number 137934878450943168 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 224 divisors.
137934878450943168 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 137934878450943168:
26 × 33 × 7 × 79 × 144346157377
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 79 × 144346157377)See below for interesting mathematical facts about the number 137934878450943168 from the Numbermatics database.
Names of 137934878450943168
- Cardinal: 137934878450943168 can be written as One hundred thirty-seven quadrillion, nine hundred thirty-four trillion, eight hundred seventy-eight billion, four hundred fifty million, nine hundred forty-three thousand, one hundred sixty-eight.
Scientific notation
- Scientific notation: 1.37934878450943168 × 1017
Factors of 137934878450943168
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 144346157468
Divisors of 137934878450943168
- Number of divisors d(n): 224
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 79 84 96 108 112 126 144 158 168 189 192 216 224 237 252 288 316 336 378 432 448 474 504 553 576 632 672 711 756 864 948 1008 1106 1264 1344 1422 1512 1659 1728 1896 2016 2133 2212 2528 2844 3024 3318 3792 4032 4266 4424 4977 5056 5688 6048 6636 7584 8532 8848 9954 11376 12096 13272 14931 15168 17064 17696 19908 22752 26544 29862 34128 35392 39816 45504 53088 59724 68256 79632 106176 119448 136512 159264 238896 318528 477792 955584 144346157377 288692314754 433038472131 577384629508 866076944262 1010423101639 1154769259016 1299115416393 1732153888524 2020846203278 2309538518032 2598230832786 3031269304917 3464307777048 3897346249179 4041692406556 4619077036064 5196461665572 6062538609834 6928615554096 7794692498358 8083384813112 9093807914751 9238154072128 10392923331144 11403346432783 12125077219668 13857231108192 15589384996716 16166769626224 18187615829502 20785846662288 22806692865566 24250154439336 27281423744253 27714462216384 31178769993432 32333539252448 34210039298349 36375231659004 41571693324576 45613385731132 48500308878672 54562847488506 62357539986864 64667078504896 68420078596698 72750463318008 79823425029481 83143386649152 91226771462264 97000617757344 102630117895047 109125694977012 124715079973728 136840157193396 145500926636016 159646850058962 182453542924528 194001235514688 205260235790094 218251389954024 239470275088443 249430159947456 273680314386792 291001853272032 307890353685141 319293700117924 364907085849056 410520471580188 436502779908048 478940550176886 547360628773584 582003706544064 615780707370282 638587400235848 718410825265329 729814171698112 821040943160376 873005559816096 957881100353772 1094721257547168 1231561414740564 1277174800471696 1436821650530658 1642081886320752 1746011119632192 1915762200707544 2155232475795987 2189442515094336 2463122829481128 2554349600943392 2873643301061316 3284163772641504 3831524401415088 4310464951591974 4926245658962256 5108699201886784 5747286602122632 6568327545283008 7663048802830176 8620929903183948 9852491317924512 11494573204245264 15326097605660352 17241859806367896 19704982635849024 22989146408490528 34483719612735792 45978292816981056 68967439225471584 137934878450943168
- Sum of all divisors σ(n): 469298226867353600
- Sum of proper divisors (its aliquot sum) s(n): 331363348416410432
- 137934878450943168 is an abundant number, because the sum of its proper divisors (331363348416410432) is greater than itself. Its abundance is 193428469965467264
Bases of 137934878450943168
- Binary: 1111010100000101100001010100010000011010010000100110000002
- Hexadecimal: 0x1EA0B0A883484C0
- Base-36: 11Q5U0DKO1C0
Squares and roots of 137934878450943168
- 137934878450943168 squared (1379348784509431682) is 19026030693276465929376748765876224
- 137934878450943168 cubed (1379348784509431683) is 2624353231081003303531064303095002874564986746437632
-
The
square root of 137934878450943168 is 371395851.4185950999 -
The
cube root of 137934878450943168 is 516683.6261365839
Scales and comparisons
How big is 137934878450943168?- 137,934,878,450,943,168 seconds is equal to 4,385,902,474 years, 7 weeks, 4 days, 14 hours, 52 minutes, 48 seconds.
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To count from 1 to 137,934,878,450,943,168 would take you about thirteen billion, one hundred fifty-seven million, seven hundred seven thousand, four hundred twenty-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 137934878450943168 cubic inches would be around 43057 feet tall.
Recreational maths with 137934878450943168
- 137934878450943168 backwards is 861349054878439731
- The number of decimal digits it has is: 18
- The sum of 137934878450943168's digits is 90
- More coming soon!
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The information we have on file for 137934878450943168 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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