138378113108928
138,378,113,108,928 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138378113108928 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2688 divisors.
138378113108928 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 138378113108928:
26 × 32 × 73 × 11 × 31 × 37 × 43 × 1291
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 7 × 11 × 31 × 37 × 43 × 1291)See below for interesting mathematical facts about the number 138378113108928 from the Numbermatics database.
Names of 138378113108928
- Cardinal: 138378113108928 can be written as One hundred thirty-eight trillion, three hundred seventy-eight billion, one hundred thirteen million, one hundred eight thousand, nine hundred twenty-eight.
Scientific notation
- Scientific notation: 1.38378113108928 × 1014
Factors of 138378113108928
Divisors of 138378113108928
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 31 32 33 36 37 42 43 44 48 49 56 62 63 64 66 72 74 77 84 86 88 93 96 98 99 111 112 124 126 129 132 144 147 148 154 168 172 176 186 192 196 198 217 222 224 231 248 252 258 259 264 279 288 294 296 301 308 333 336 341 343 344 352 372 387 392 396 407 434 441 444 448 462 473 496 504 516 518 528 539 558 576 588 592 602 616 651 666 672 682 686 688 693 704 744 774 777 784 792 814 868 882 888 903 924 946 992 1008 1023 1029 1032 1036 1056 1078 1116 1147 1176 1184 1204 1221 1232 1291 1302 1332 1333 1344 1364 1372 1376 1386 1419 1488 1519 1548 1554 1568 1584 1591 1617 1628 1736 1764 1776 1806 1813 1848 1892 1953 1984 2016 2046 2058 2064 2072 2107 2112 2156 2232 2294 2331 2352 2368 2387 2408 2442 2464 2582 2604 2664 2666 2709 2728 2744 2752 2772 2838 2849 2976 3038 3069 3087 3096 3108 3136 3168 3182 3234 3256 3311 3441 3472 3528 3552 3612 3626 3663 3696 3773 3784 3873 3906 3999 4032 4092 4116 4128 4144 4214 4257 4312 4464 4557 4588 4662 4704 4773 4774 4816 4851 4884 4928 5164 5208 5328 5332 5418 5439 5456 5488 5544 5676 5698 5952 6076 6138 6174 6192 6216 6321 6336 6364 6468 6512 6622 6882 6944 7056 7104 7161 7224 7252 7326 7392 7546 7568 7746 7812 7998 8029 8184 8232 8256 8288 8428 8514 8547 8624 8928 9037 9114 9176 9324 9331 9408 9546 9548 9632 9702 9768 9933 10323 10328 10416 10633 10656 10664 10836 10878 10912 10976 11088 11137 11319 11352 11396 11619 11997 12152 12276 12348 12384 12432 12617 12642 12691 12728 12936 13024 13244 13671 13764 13888 14112 14201 14319 14322 14448 14504 14652 14663 14749 14784 15092 15136 15492 15624 15996 16058 16317 16368 16464 16576 16709 16856 17028 17094 17248 17501 17856 18074 18228 18352 18648 18662 18963 19092 19096 19264 19404 19536 19866 19943 20646 20656 20832 21266 21312 21328 21483 21672 21756 21824 21952 22176 22274 22638 22704 22792 23177 23238 23994 24087 24304 24552 24696 24768 24864 25234 25284 25382 25456 25641 25872 26048 26488 27111 27342 27528 27993 28224 28402 28638 28644 28896 29008 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405800918208 411839622348 415549889216 449279588016 459727950528 467493625368 470673854112 480479559406 495978900032 524159519352 534278428992 536349275616 549119496464 557976262536 599039450688 617759433522 623324833824 637687157184 698879359136 706010781168 720719339109 743968350048 786239279028 804523913424 823679244696 898559176032 934987250736 941347708224 960959118812 1048319038704 1072698551232 1098238992928 1115952525072 1235518867044 1246649667648 1397758718272 1412021562336 1441438678218 1487936700096 1572478558056 1609047826848 1647358489392 1797118352064 1869974501472 1921918237624 2096638077408 2162158017327 2196477985856 2231905050144 2471037734088 2824043124672 2882877356436 3144957116112 3218095653696 3294716978784 3739949002944 3843836475248 4193276154816 4324316034654 4463810100288 4942075468176 5765754712872 6289914232224 6589433957568 7687672950496 8648632069308 9884150936352 11531509425744 12579828464448 15375345900992 17297264138616 19768301872704 23063018851488 34594528277232 46126037702976 69189056554464 138378113108928
- Sum of all divisors σ(n): 547818980966400
- Sum of proper divisors (its aliquot sum) s(n): 409440867857472
- 138378113108928 is an abundant number, because the sum of its proper divisors (409440867857472) is greater than itself. Its abundance is 271062754748544
Bases of 138378113108928
- Binary: 111110111011010101010100100011011001011110000002
- Hexadecimal: 0x7DDAAA46CBC0
- Base-36: 1D1U0ZQ7K0
Squares and roots of 138378113108928
- 138378113108928 squared (1383781131089282) is 19148502187587271197593309184
- 138378113108928 cubed (1383781131089283) is 2649733601580506657431718543318933774794752
-
The
square root of 138378113108928 is 11763422.6783248759 -
The
cube root of 138378113108928 is 51723.6464863327
Scales and comparisons
How big is 138378113108928?- 138,378,113,108,928 seconds is equal to 4,399,995 years, 50 weeks, 1 day, 8 hours, 28 minutes, 48 seconds.
-
To count from 1 to 138,378,113,108,928 would take you about ten million, nine hundred ninety-nine thousand, nine hundred eighty-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 138378113108928 cubic inches would be around 4310.3 feet tall.
Recreational maths with 138378113108928
- 138378113108928 backwards is 829801311873831
- 138378113108928 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138378113108928's digits is 63
- More coming soon!
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"Number 138378113108928 - Facts about the integer". Numbermatics.com. 2024. Web. 17 May 2024.
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Numbermatics. (2024). Number 138378113108928 - Facts about the integer. Retrieved 17 May 2024, from https://numbermatics.com/n/138378113108928/
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The information we have on file for 138378113108928 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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