138840113664
138,840,113,664 is an even composite number composed of five prime numbers multiplied together.
138840113664 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 138840113664:
29 × 33 × 7 × 312 × 1493
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 31 × 31 × 1493)See below for interesting mathematical facts about the number 138840113664 from the Numbermatics database.
Names of 138840113664
- Cardinal: 138840113664 can be written as One hundred thirty-eight billion, eight hundred forty million, one hundred thirteen thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 1.38840113664 × 1011
Factors of 138840113664
Divisors of 138840113664
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 31 32 36 42 48 54 56 62 63 64 72 84 93 96 108 112 124 126 128 144 168 186 189 192 216 217 224 248 252 256 279 288 336 372 378 384 432 434 448 496 504 512 558 576 651 672 744 756 768 837 864 868 896 961 992 1008 1116 1152 1302 1344 1488 1493 1512 1536 1674 1728 1736 1792 1922 1953 1984 2016 2232 2304 2604 2688 2883 2976 2986 3024 3348 3456 3472 3584 3844 3906 3968 4032 4464 4479 4608 5208 5376 5766 5859 5952 5972 6048 6696 6727 6912 6944 7688 7812 7936 8064 8649 8928 8958 10416 10451 10752 11532 11718 11904 11944 12096 13392 13437 13454 13824 13888 15376 15624 15872 16128 17298 17856 17916 20181 20832 20902 23064 23436 23808 23888 24192 25947 26784 26874 26908 27776 30752 31248 31353 32256 34596 35712 35832 40311 40362 41664 41804 46128 46283 46872 47616 47776 48384 51894 53568 53748 53816 55552 60543 61504 62496 62706 69192 71424 71664 80622 80724 83328 83608 92256 92566 93744 94059 95552 96768 103788 107136 107496 107632 111104 121086 123008 124992 125412 138384 138849 142848 143328 161244 161448 166656 167216 181629 184512 185132 187488 188118 191104 207576 214272 214992 215264 242172 246016 249984 250824 276768 277698 282177 286656 322488 322896 323981 333312 334432 363258 369024 370264 374976 376236 382208 415152 416547 428544 429984 430528 484344 492032 499968 501648 553536 555396 564354 573312 644976 645792 647962 668864 726516 738048 740528 749952 752472 764416 830304 833094 859968 861056 968688 971943 999936 1003296 1107072 1110792 1128708 1146624 1249641 1289952 1291584 1295924 1337728 1434773 1453032 1476096 1481056 1499904 1504944 1660608 1666188 1719936 1722112 1937376 1943886 2006592 2214144 2221584 2257416 2293248 2499282 2579904 2583168 2591848 2675456 2869546 2906064 2915829 2962112 2999808 3009888 3321216 3332376 3439872 3444224 3874752 3887772 4013184 4304319 4428288 4443168 4514832 4998564 5159808 5166336 5183696 5350912 5739092 5812128 5831658 5924224 6019776 6642432 6664752 6879744 7749504 7775544 8026368 8608638 8747487 8886336 9029664 9997128 10043411 10319616 10332672 10367392 11478184 11624256 11663316 11848448 12039552 12912957 13284864 13329504 15499008 15551088 16052736 17217276 17494974 17772672 18059328 19994256 20086822 20639232 20734784 22956368 23248512 23326632 23696896 24079104 25825914 26659008 30130233 30998016 31102176 34434552 34989948 35545344 36118656 38738871 39988512 40173644 41469568 45912736 46497024 46653264 48158208 51651828 53318016 60260466 62204352 68869104 69979896 71090688 72237312 77477742 79977024 80347288 82939136 90390699 91825472 92994048 93306528 103303656 106636032 120520932 124408704 137738208 139959792 144474624 154955484 159954048 160694576 165878272 180781398 183650944 186613056 206607312 213272064 241041864 248817408 271172097 275476416 279919584 309910968 319908096 321389152 361562796 367301888 373226112 413214624 482083728 497634816 542344194 550952832 559839168 619821936 639816192 642778304 723125592 734603776 746452224 826429248 964167456 1084688388 1101905664 1119678336 1239643872 1285556608 1446251184 1492904448 1652858496 1928334912 2169376776 2203811328 2239356672 2479287744 2571113216 2892502368 3305716992 3856669824 4338753552 4478713344 4958575488 5142226432 5785004736 6611433984 7713339648 8677507104 9917150976 11570009472 15426679296 17355014208 19834301952 23140018944 34710028416 46280037888 69420056832 138840113664
- Sum of all divisors σ(n): 485652309120
- Sum of proper divisors (its aliquot sum) s(n): 346812195456
- 138840113664 is an abundant number, because the sum of its proper divisors (346812195456) is greater than itself. Its abundance is 207972081792
Bases of 138840113664
- Binary: 100000010100111000010000000010000000002
- Hexadecimal: 0x2053840200
- Base-36: 1RS5THC0
Squares and roots of 138840113664
- 138840113664 squared (1388401136642) is 19276577162232439504896
- 138840113664 cubed (1388401136643) is 2676362164257218468847764524498944
-
The
square root of 138840113664 is 372612.5516726457 -
The
cube root of 138840113664 is 5178.1145484205
Scales and comparisons
How big is 138840113664?- 138,840,113,664 seconds is equal to 4,414 years, 35 weeks, 4 days, 18 hours, 14 minutes, 24 seconds.
-
To count from 1 to 138,840,113,664 would take you about eight thousand, eight hundred twenty-nine 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 138840113664 cubic inches would be around 431.5 feet tall.
Recreational maths with 138840113664
- 138840113664 backwards is 466311048831
- The number of decimal digits it has is: 12
- The sum of 138840113664's digits is 45
- More coming soon!
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