138299317728
138,299,317,728 is an even composite number composed of six prime numbers multiplied together.
What does the number 138299317728 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 432 divisors.
138299317728 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 138299317728:
25 × 3 × 112 × 13 × 172 × 3169
(2 × 2 × 2 × 2 × 2 × 3 × 11 × 11 × 13 × 17 × 17 × 3169)See below for interesting mathematical facts about the number 138299317728 from the Numbermatics database.
Names of 138299317728
- Cardinal: 138299317728 can be written as One hundred thirty-eight billion, two hundred ninety-nine million, three hundred seventeen thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 1.38299317728 × 1011
Factors of 138299317728
Divisors of 138299317728
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 3 4 6 8 11 12 13 16 17 22 24 26 32 33 34 39 44 48 51 52 66 68 78 88 96 102 104 121 132 136 143 156 176 187 204 208 221 242 264 272 286 289 312 352 363 374 408 416 429 442 484 528 544 561 572 578 624 663 726 748 816 858 867 884 968 1056 1122 1144 1156 1248 1326 1452 1496 1573 1632 1716 1734 1768 1936 2057 2244 2288 2312 2431 2652 2904 2992 3146 3169 3179 3432 3468 3536 3757 3872 4114 4488 4576 4624 4719 4862 5304 5808 5984 6171 6292 6338 6358 6864 6936 7072 7293 7514 8228 8976 9248 9438 9507 9537 9724 10608 11271 11616 12342 12584 12676 12716 13728 13872 14586 15028 16456 17952 18876 19014 19074 19448 21216 22542 24684 25168 25352 25432 26741 27744 29172 30056 32912 34859 34969 37752 38028 38148 38896 41197 41327 45084 49368 50336 50704 50864 53482 53873 58344 60112 65824 69718 69938 75504 76056 76296 77792 80223 82394 82654 90168 98736 101408 101728 104577 104907 106964 107746 116688 120224 123591 123981 139436 139876 151008 152112 152592 160446 161619 164788 165308 180336 197472 209154 209814 213928 215492 233376 247182 247962 278872 279752 304224 305184 320892 323238 329576 330616 360672 383449 418308 419628 427856 430984 453167 454597 494364 495924 557744 559504 592603 641784 646476 659152 661232 700349 766898 836616 839256 855712 861968 906334 909194 915841 988728 991848 1115488 1119008 1150347 1185206 1283568 1292952 1318304 1322464 1359501 1363791 1400698 1533796 1673232 1678512 1723936 1777809 1812668 1818388 1831682 1977456 1983696 2101047 2300694 2370412 2567136 2585904 2719002 2727582 2747523 2801396 3067592 3346464 3357024 3555618 3625336 3636776 3663364 3954912 3967392 4202094 4601388 4740824 4984837 5171808 5438004 5455164 5495046 5602792 6135184 6518633 7111236 7250672 7273552 7326728 7703839 8404188 9202776 9481648 9969674 10074251 10876008 10910328 10990092 11205584 11905933 12270368 13037266 14222472 14501344 14547104 14653456 14954511 15407678 16808376 18405552 18963296 19555899 19939348 20148502 21752016 21820656 21980184 22411168 23111517 23811866 26074532 28444944 29306912 29909022 30222753 30815356 33616752 35717799 36811104 39111798 39878696 40297004 43504032 43641312 43960368 46223034 47623732 52149064 56889888 59818044 60445506 61630712 67233504 71435598 78223596 79757392 80594008 84742229 87920736 92446068 95247464 104298128 110816761 119636088 120891012 123261424 130965263 142871196 156447192 159514784 161188016 169484458 184892136 190494928 208596256 221633522 239272176 241782024 246522848 254226687 261930526 285742392 312894384 322376032 332450283 338968916 369784272 380989856 392895789 443267044 478544352 483564048 508453374 523861052 571484784 625788768 664900566 677937832 739568544 785791578 886534088 967128096 1016906748 1047722104 1142969568 1329801132 1355875664 1440617893 1571583156 1773068176 2033813496 2095444208 2659602264 2711751328 2881235786 3143166312 3546136352 4067626992 4190888416 4321853679 5319204528 5762471572 6286332624 8135253984 8643707358 10638409056 11524943144 12572665248 17287414716 23049886288 34574829432 46099772576 69149658864 138299317728
- Sum of all divisors σ(n): 456644104560
- Sum of proper divisors (its aliquot sum) s(n): 318344786832
- 138299317728 is an abundant number, because the sum of its proper divisors (318344786832) is greater than itself. Its abundance is 180045469104
Bases of 138299317728
- Binary: 100000001100110100100000011101111000002
- Hexadecimal: 0x2033481DE0
- Base-36: 1RJ7UCIO
Squares and roots of 138299317728
- 138299317728 squared (1382993177282) is 19126701284030295081984
- 138299317728 cubed (1382993177283) is 2645209737968651351920901024612352
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The
square root of 138299317728 is 371886.1623239025 -
The
cube root of 138299317728 is 5171.3827114963
Scales and comparisons
How big is 138299317728?- 138,299,317,728 seconds is equal to 4,397 years, 25 weeks, 3 days, 13 hours, 8 minutes, 48 seconds.
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To count from 1 to 138,299,317,728 would take you about eight thousand, seven hundred ninety-four 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 138299317728 cubic inches would be around 430.9 feet tall.
Recreational maths with 138299317728
- 138299317728 backwards is 827713992831
- The number of decimal digits it has is: 12
- The sum of 138299317728's digits is 60
- More coming soon!
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