138823740475206528
138,823,740,475,206,528 is an even composite number composed of six prime numbers multiplied together.
138823740475206528 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 138823740475206528:
27 × 3 × 7 × 97 × 107 × 4975983889
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 97 × 107 × 4975983889)See below for interesting mathematical facts about the number 138823740475206528 from the Numbermatics database.
Names of 138823740475206528
- Cardinal: 138823740475206528 can be written as One hundred thirty-eight quadrillion, eight hundred twenty-three trillion, seven hundred forty billion, four hundred seventy-five million, two hundred six thousand, five hundred twenty-eight.
Scientific notation
- Scientific notation: 1.38823740475206528 × 1017
Factors of 138823740475206528
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 4975984105
Divisors of 138823740475206528
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 97 107 112 128 168 192 194 214 224 291 321 336 384 388 428 448 582 642 672 679 749 776 856 896 1164 1284 1344 1358 1498 1552 1712 2037 2247 2328 2568 2688 2716 2996 3104 3424 4074 4494 4656 5136 5432 5992 6208 6848 8148 8988 9312 10272 10379 10864 11984 12416 13696 16296 17976 18624 20544 20758 21728 23968 31137 32592 35952 37248 41088 41516 43456 47936 62274 65184 71904 72653 83032 86912 95872 124548 130368 143808 145306 166064 217959 249096 260736 287616 290612 332128 435918 498192 581224 664256 871836 996384 1162448 1328512 1743672 1992768 2324896 3487344 3985536 4649792 6974688 9299584 13949376 27898752 4975983889 9951967778 14927951667 19903935556 29855903334 34831887223 39807871112 59711806668 69663774446 79615742224 104495661669 119423613336 139327548892 159231484448 208991323338 238847226672 278655097784 318462968896 417982646676 477694453344 482670437233 532430276123 557310195568 636925937792 835965293352 955388906688 965340874466 1064860552246 1114620391136 1448011311699 1597290828369 1671930586704 1910777813376 1930681748932 2129721104492 2229240782272 2896022623398 3194581656738 3343861173408 3378693060631 3727011932861 3861363497864 4259442208984 4458481564544 5792045246796 6389163313476 6687722346816 6757386121262 7454023865722 7722726995728 8518884417968 10136079181893 11181035798583 11584090493592 12778326626952 13375444693632 13514772242524 14908047731444 15445453991456 17037768835936 20272158363786 22362071597166 23168180987184 25556653253904 27029544485048 29816095462888 30890907982912 34075537671872 40544316727572 44724143194332 46336361974368 51113306507808 51645736783931 54059088970096 59632190925776 61781815965824 68151075343744 81088633455144 89448286388664 92672723948736 102226613015616 103291473567862 108118177940192 119264381851552 154937210351793 162177266910288 178896572777328 185345447897472 204453226031232 206582947135724 216236355880384 238528763703104 309874420703586 324354533820576 357793145554656 361520157487517 413165894271448 432472711760768 477057527406208 619748841407172 648709067641152 715586291109312 723040314975034 826331788542896 1084560472462551 1239497682814344 1297418135282304 1431172582218624 1446080629950068 1652663577085792 2169120944925102 2478995365628688 2892161259900136 3305327154171584 4338241889850204 4957990731257376 5784322519800272 6610654308343168 8676483779700408 9915981462514752 11568645039600544 17352967559400816 19831962925029504 23137290079201088 34705935118801632 46274580158402176 69411870237603264 138823740475206528
- Sum of all divisors σ(n): 429753038092761600
- Sum of proper divisors (its aliquot sum) s(n): 290929297617555072
- 138823740475206528 is an abundant number, because the sum of its proper divisors (290929297617555072) is greater than itself. Its abundance is 152105557142348544
Bases of 138823740475206528
- Binary: 1111011010011001101110100110110010110101001101011100000002
- Hexadecimal: 0x1ED3374D96A6B80
- Base-36: 11YWWPYC6D1C
Squares and roots of 138823740475206528
- 138823740475206528 squared (1388237404752065282) is 19272030919527495204570684253814784
- 138823740475206528 cubed (1388237404752065283) is 2675415418802640817907875879174362177011754259709952
-
The
square root of 138823740475206528 is 372590580.2287633359 -
The
cube root of 138823740475206528 is 517791.0991543077
Scales and comparisons
How big is 138823740475206528?- 138,823,740,475,206,528 seconds is equal to 4,414,165,537 years, 4 weeks, 4 days, 1 hour, 48 minutes, 48 seconds.
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To count from 1 to 138,823,740,475,206,528 would take you about thirteen billion, two hundred forty-two million, four hundred ninety-six thousand, six hundred eleven 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 138823740475206528 cubic inches would be around 43149.3 feet tall.
Recreational maths with 138823740475206528
- 138823740475206528 backwards is 825602574047328831
- The number of decimal digits it has is: 18
- The sum of 138823740475206528's digits is 75
- More coming soon!
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