13137467628741345
13,137,467,628,741,345 is an odd composite number composed of six prime numbers multiplied together.
What does the number 13137467628741345 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 360 divisors.
13137467628741345 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 13137467628741345:
32 × 5 × 312 × 37 × 614 × 593
(3 × 3 × 5 × 31 × 31 × 37 × 61 × 61 × 61 × 61 × 593)See below for interesting mathematical facts about the number 13137467628741345 from the Numbermatics database.
Names of 13137467628741345
- Cardinal: 13137467628741345 can be written as Thirteen quadrillion, one hundred thirty-seven trillion, four hundred sixty-seven billion, six hundred twenty-eight million, seven hundred forty-one thousand, three hundred forty-five.
Scientific notation
- Scientific notation: 1.3137467628741345 × 1016
Factors of 13137467628741345
Divisors of 13137467628741345
- Number of divisors d(n): 360
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Complete list of divisors:
1 3 5 9 15 31 37 45 61 93 111 155 183 185 279 305 333 465 549 555 593 915 961 1147 1395 1665 1779 1891 2257 2745 2883 2965 3441 3721 4805 5337 5673 5735 6771 8649 8895 9455 10323 11163 11285 14415 17019 17205 18383 18605 20313 21941 26685 28365 33489 33855 35557 36173 43245 51615 55149 55815 58621 65823 69967 85095 91915 101565 106671 108519 109705 115351 137677 165447 167445 175863 177785 180865 197469 209901 226981 275745 293105 320013 325557 329115 346053 349835 413031 527589 533355 542595 569873 576755 629703 680171 680943 688385 827235 879315 987345 1038159 1049505 1121363 1134905 1239093 1338401 1600065 1627785 1709619 1730265 2040513 2042829 2065155 2168977 2206553 2637945 2849365 3148515 3364089 3400855 3404715 3575881 4015203 4267987 5128857 5190795 5606815 6121539 6195465 6506931 6619659 6692005 7036411 8398297 8548095 10092267 10202565 10214145 10727643 10844885 11032765 12045609 12803961 13845841 16820445 17879405 19520793 19858977 20076015 21085301 21109233 21339935 25194891 25644285 30607695 32182929 32534655 33098295 34762253 35182055 38411883 41490431 41537523 41991485 50461335 53638215 60228045 63255903 63327699 64019805 68403143 69229205 75584673 81642461 97603965 99294885 104286759 105426505 105546165 124471293 124612569 125974455 132307597 134599733 160914645 173811265 189767709 192059415 205209429 207452155 207687615 218128741 244927383 260347207 312860277 316279515 316638495 342015715 373413879 377923365 396922791 403799199 408212305 429221071 512296117 521433795 615628287 622356465 623062845 654386223 661537985 672998665 734782149 781041621 948838545 1026047145 1090643705 1190768373 1211397597 1224636915 1286203361 1287663213 1301736035 1536888351 1564301385 1867069395 1963158669 1984613955 2018995995 2120497433 2146105355 2343124863 2530916291 2561480585 3078141435 3271931115 3673910745 3858610083 3862989639 3905208105 4172591723 4610665053 4980190121 5953841865 6056987985 6361492299 6431016805 6438316065 7592748873 7684441755 8070763417 8210583713 9815793345 10602487165 11575830249 11715624315 12517775169 12654581455 13305853201 14940570363 15881179627 19084476897 19293050415 19314948195 20862958615 22778246619 23053325265 24212290251 24631751139 24900950605 31807461495 37553325507 37963744365 39917559603 40353817085 41052918565 44821711089 47643538881 57879151245 62588875845 66529266005 72636870753 73895253417 74702851815 78458405021 79405898135 95422384485 113891233095 119752678809 121061451255 123158755695 129350343413 142930616643 154385893751 187766627535 199587798015 224108555445 235375215063 238217694405 254528095103 303791597381 363184353765 369476267085 388051030239 392292025105 463157681253 492316568437 598763394045 646751717065 706125645189 714653083215 763584285309 771929468755 911374792143 1164153090717 1176876075315 1272640475515 1389473043759 1476949705311 1518957986905 1940255151195 2290752855927 2315788406265 2461582842185 2734124376429 3530628225945 3817921426545 4430849115933 4556873960715 4785962706281 5820765453585 6947365218795 7384748526555 7890370948193 9417539518811 11453764279635 13670621882145 14357888118843 22154245579665 23671112844579 23929813531405 28252618556433 39451854740965 43073664356529 47087697594055 71013338533737 71789440594215 84757855669299 118355564222895 141263092782165 215368321782645 291943725083141 355066692668685 423789278346495 875831175249423 1459718625415705 2627493525748269 4379155876247115 13137467628741345
- Sum of all divisors σ(n): 24610011516759240
- Sum of proper divisors (its aliquot sum) s(n): 11472543888017895
- 13137467628741345 is a deficient number, because the sum of its proper divisors (11472543888017895) is less than itself. Its deficiency is 1664923740723450
Bases of 13137467628741345
- Binary: 1011101010110001110101000010110100001001100010111000012
- Hexadecimal: 0x2EAC750B4262E1
- Base-36: 3LCUDB6SG69
Squares and roots of 13137467628741345
- 13137467628741345 squared (131374676287413452) is 172593055696226738261908912409025
- 13137467628741345 cubed (131374676287413453) is 2267435682154730774538976533535028295212568638625
-
The
square root of 13137467628741345 is 114618792.6508622101 -
The
cube root of 13137467628741345 is 235959.3654827655
Scales and comparisons
How big is 13137467628741345?- 13,137,467,628,741,345 seconds is equal to 417,730,833 years, 38 weeks, 2 days, 19 hours, 15 minutes, 45 seconds.
-
To count from 1 to 13,137,467,628,741,345 would take you about one billion, two hundred fifty-three million, one hundred ninety-two thousand, five hundred one 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 13137467628741345 cubic inches would be around 19663.3 feet tall.
Recreational maths with 13137467628741345
- 13137467628741345 backwards is 54314782676473131
- The number of decimal digits it has is: 17
- The sum of 13137467628741345's digits is 72
- More coming soon!
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