138838793025540096
138,838,793,025,540,096 is an even composite number composed of four prime numbers multiplied together.
What does the number 138838793025540096 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 1352 divisors.
138838793025540096 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand, three hundred fifty-two divisors.
Prime factorization of 138838793025540096:
212 × 312 × 613 × 281
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 61 × 61 × 61 × 281)See below for interesting mathematical facts about the number 138838793025540096 from the Numbermatics database.
Names of 138838793025540096
- Cardinal: 138838793025540096 can be written as One hundred thirty-eight quadrillion, eight hundred thirty-eight trillion, seven hundred ninety-three billion, twenty-five million, five hundred forty thousand and ninety-six.
Scientific notation
- Scientific notation: 1.38838793025540096 × 1017
Factors of 138838793025540096
Divisors of 138838793025540096
- Number of divisors d(n): 1352
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 64 72 81 96 108 122 128 144 162 183 192 216 243 244 256 281 288 324 366 384 432 486 488 512 549 562 576 648 729 732 768 843 864 972 976 1024 1098 1124 1152 1296 1458 1464 1536 1647 1686 1728 1944 1952 2048 2187 2196 2248 2304 2529 2592 2916 2928 3072 3294 3372 3456 3721 3888 3904 4096 4374 4392 4496 4608 4941 5058 5184 5832 5856 6144 6561 6588 6744 6912 7442 7587 7776 7808 8748 8784 8992 9216 9882 10116 10368 11163 11664 11712 12288 13122 13176 13488 13824 14823 14884 15174 15552 15616 17141 17496 17568 17984 18432 19683 19764 20232 20736 22326 22761 23328 23424 26244 26352 26976 27648 29646 29768 30348 31104 31232 33489 34282 34992 35136 35968 36864 39366 39528 40464 41472 44469 44652 45522 46656 46848 51423 52488 52704 53952 55296 59049 59292 59536 60696 62208 62464 66978 68283 68564 69984 70272 71936 78732 79056 80928 82944 88938 89304 91044 93312 93696 100467 102846 104976 105408 107904 110592 118098 118584 119072 121392 124416 124928 133407 133956 136566 137128 139968 140544 143872 154269 157464 158112 161856 165888 177147 177876 178608 182088 186624 187392 200934 204849 205692 209952 210816 215808 226981 236196 237168 238144 242784 248832 249856 266814 267912 273132 274256 279936 281088 287744 301401 308538 314928 316224 323712 331776 354294 355752 357216 364176 373248 374784 400221 401868 409698 411384 419904 421632 431616 453962 462807 472392 474336 476288 485568 497664 531441 533628 535824 546264 548512 559872 562176 575488 602802 614547 617076 629856 632448 647424 680943 708588 711504 714432 728352 746496 749568 800442 803736 819396 822768 839808 843264 863232 904203 907924 925614 944784 948672 952576 971136 995328 1045601 1062882 1067256 1071648 1092528 1097024 1119744 1124352 1150976 1200663 1205604 1229094 1234152 1259712 1264896 1294848 1361886 1388421 1417176 1423008 1428864 1456704 1492992 1600884 1607472 1638792 1645536 1679616 1686528 1726464 1808406 1815848 1843641 1851228 1889568 1897344 1905152 1942272 2042829 2091202 2125764 2134512 2143296 2185056 2194048 2239488 2248704 2401326 2411208 2458188 2468304 2519424 2529792 2589696 2712609 2723772 2776842 2834352 2846016 2857728 2913408 2985984 3136803 3201768 3214944 3277584 3291072 3359232 3373056 3452928 3601989 3616812 3631696 3687282 3702456 3779136 3794688 3810304 3884544 4085658 4165263 4182404 4251528 4269024 4286592 4370112 4388096 4478976 4802652 4822416 4916376 4936608 5038848 5059584 5179392 5425218 5447544 5530923 5553684 5668704 5692032 5715456 5826816 6128487 6273606 6403536 6429888 6555168 6582144 6718464 6746112 7203978 7233624 7263392 7374564 7404912 7558272 7589376 7620608 7769088 8137827 8171316 8330526 8364808 8503056 8538048 8573184 8740224 8776192 8957952 9410409 9605304 9644832 9832752 9873216 10077696 10119168 10358784 10805967 10850436 10895088 11061846 11107368 11337408 11384064 11430912 11653632 12256974 12495789 12547212 12807072 12859776 13110336 13164288 13436928 14407956 14467248 14526784 14749128 14809824 15116544 15178752 15241216 15538176 16275654 16342632 16592769 16661052 16729616 17006112 17076096 17146368 17480448 17552384 18385461 18820818 19210608 19289664 19665504 19746432 20155392 20238336 21611934 21700872 21790176 22123692 22214736 22674816 22768128 22861824 23307264 24413481 24513948 24991578 25094424 25614144 25719552 26220672 26328576 26873856 28231227 28815912 28934496 29053568 29498256 29619648 30233088 30357504 31076352 32417901 32551308 32685264 33185538 33322104 33459232 34012224 34152192 34292736 34960896 35104768 36770922 37487367 37641636 38421216 38579328 39331008 39492864 40310784 43223868 43401744 43580352 44247384 44429472 45349632 45536256 45723648 46614528 48826962 49027896 49778307 49983156 50188848 51228288 51439104 52441344 52657152 55156383 56462454 57631824 57868992 58107136 58996512 59239296 60466176 60715008 63781661 64835802 65102616 65370528 66371076 66644208 66918464 68024448 68304384 68585472 69921792 70209536 73240443 73541844 74974734 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15440257231488 15805873522944 15870918269952 17781607713312 17854783053696 18299564126208 18656113010688 20086630935408 20587009641984 21074498030592 21161224359936 22597459802334 23708810284416 23806377404928 26782174580544 27449346189312 28099330707456 30129946403112 30880514462976 31611747045888 31741836539904 33896189703501 35563215426624 35709566107392 37312226021376 40173261870816 41174019283968 42148996061184 45194919604668 47417620568832 47612754809856 53564349161088 54898692378624 60259892806224 61761028925952 63223494091776 63483673079808 67792379407002 71126430853248 71419132214784 80346523741632 82348038567936 84297992122368 90389839209336 94835241137664 95225509619712 107128698322176 120519785612448 123522057851904 126446988183552 135584758814004 142252861706496 142838264429568 160693047483264 164696077135872 180779678418672 189670482275328 190451019239424 214257396644352 241039571224896 247044115703808 252893976367104 271169517628008 284505723412992 285676528859136 321386094966528 361559356837344 379340964550656 428514793288704 482079142449792 494088231407616 542339035256016 569011446825984 571353057718272 642772189933056 723118713674688 758681929101312 857029586577408 964158284899584 1084678070512032 1138022893651968 1285544379866112 1446237427349376 1714059173154816 1928316569799168 2169356141024064 2276045787303936 2571088759732224 2892474854698752 3856633139598336 4338712282048128 5142177519464448 5784949709397504 7713266279196672 8677424564096256 11569899418795008 15426532558393344 17354849128192512 23139798837590016 34709698256385024 46279597675180032 69419396512770048 138838793025540096
- Sum of all divisors σ(n): 424913114982821448
- Sum of proper divisors (its aliquot sum) s(n): 286074321957281352
- 138838793025540096 is an abundant number, because the sum of its proper divisors (286074321957281352) is greater than itself. Its abundance is 147235528931741256
Bases of 138838793025540096
- Binary: 1111011010100000100100101100010110101010011010000000000002
- Hexadecimal: 0x1ED41258B54D000
- Base-36: 11Z28T000000
Squares and roots of 138838793025540096
- 138838793025540096 squared (1388387930255400962) is 19276210448788761204140552503689216
- 138838793025540096 cubed (1388387930255400963) is 2676285792816136182926368956840164104993550930804736
-
The
square root of 138838793025540096 is 372610779.5348117623 -
The
cube root of 138838793025540096 is 517809.8130401573
Scales and comparisons
How big is 138838793025540096?- 138,838,793,025,540,096 seconds is equal to 4,414,644,161 years, 32 weeks, 4 days, 15 hours, 21 minutes, 36 seconds.
-
To count from 1 to 138,838,793,025,540,096 would take you about thirteen billion, two hundred forty-three million, nine hundred thirty-two thousand, four hundred eighty-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 138838793025540096 cubic inches would be around 43150.8 feet tall.
Recreational maths with 138838793025540096
- 138838793025540096 backwards is 690045520397838831
- 138838793025540096 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138838793025540096's digits is 81
- More coming soon!
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"Number 138838793025540096 - Facts about the integer". Numbermatics.com. 2024. Web. 4 May 2024.
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Numbermatics. (2024). Number 138838793025540096 - Facts about the integer. Retrieved 4 May 2024, from https://numbermatics.com/n/138838793025540096/
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Numbermatics. 2024. "Number 138838793025540096 - Facts about the integer". https://numbermatics.com/n/138838793025540096/
The information we have on file for 138838793025540096 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!
Keywords: Divisors of 138838793025540096, math, Factors of 138838793025540096, curriculum, school, college, exams, university, Prime factorization of 138838793025540096, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, eight hundred thirty-eight trillion, seven hundred ninety-three billion, twenty-five million, five hundred forty thousand and ninety-six.