138488958458928
138,488,958,458,928 is an even composite number composed of six prime numbers multiplied together.
What does the number 138488958458928 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2340 divisors.
138488958458928 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, three hundred forty divisors.
Prime factorization of 138488958458928:
24 × 312 × 72 × 112 × 41 × 67
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 11 × 11 × 41 × 67)See below for interesting mathematical facts about the number 138488958458928 from the Numbermatics database.
Names of 138488958458928
- Cardinal: 138488958458928 can be written as One hundred thirty-eight trillion, four hundred eighty-eight billion, nine hundred fifty-eight million, four hundred fifty-eight thousand, nine hundred twenty-eight.
Scientific notation
- Scientific notation: 1.38488958458928 × 1014
Factors of 138488958458928
Divisors of 138488958458928
- Number of divisors d(n): 2340
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 33 36 41 42 44 48 49 54 56 63 66 67 72 77 81 82 84 88 98 99 108 112 121 123 126 132 134 144 147 154 162 164 168 176 189 196 198 201 216 231 242 243 246 252 264 268 287 294 297 308 324 328 336 363 369 378 392 396 402 432 441 451 462 469 484 486 492 504 528 536 539 567 574 588 594 603 616 648 656 693 726 729 737 738 756 784 792 804 847 861 882 891 902 924 938 968 972 984 1008 1072 1078 1089 1107 1134 1148 1176 1188 1206 1232 1296 1323 1353 1386 1407 1452 1458 1474 1476 1512 1584 1608 1617 1694 1701 1722 1764 1782 1804 1809 1848 1876 1936 1944 1968 2009 2079 2156 2178 2187 2211 2214 2268 2296 2352 2376 2412 2541 2583 2646 2673 2706 2747 2772 2814 2904 2916 2948 2952 3024 3157 3216 3234 3267 3283 3321 3388 3402 3444 3528 3564 3608 3618 3696 3752 3888 3969 4018 4059 4158 4221 4312 4356 4374 4422 4428 4536 4592 4752 4824 4851 4961 5082 5103 5159 5166 5292 5346 5412 5427 5494 5544 5628 5808 5832 5896 5904 5929 6027 6237 6314 6468 6534 6561 6566 6633 6642 6776 6804 6888 7056 7128 7216 7236 7504 7623 7749 7938 8019 8036 8107 8118 8241 8316 8442 8624 8712 8748 8844 8856 9072 9471 9648 9702 9801 9849 9922 9963 10164 10206 10318 10332 10584 10692 10824 10854 10988 11088 11256 11664 11792 11858 11907 12054 12177 12474 12628 12663 12936 13068 13122 13132 13266 13284 13552 13608 13776 14256 14472 14553 14883 15246 15309 15477 15498 15876 16038 16072 16214 16236 16281 16482 16632 16884 17424 17496 17688 17712 17787 18081 18711 18942 19229 19404 19602 19683 19698 19844 19899 19926 20328 20412 20636 20664 21168 21384 21648 21708 21976 22099 22512 22869 23247 23716 23814 24057 24108 24321 24354 24723 24948 25256 25326 25872 26136 26244 26264 26532 26568 27216 28413 28944 29106 29403 29547 29766 29889 30217 30492 30618 30954 30996 31752 32076 32144 32428 32472 32562 32964 33264 33768 34727 34992 35376 35574 35721 36113 36162 36531 37422 37884 37989 38458 38808 39204 39366 39396 39688 39798 39852 40656 40824 41272 41328 42768 43416 43659 43952 44198 44649 45738 45927 46431 46494 47432 47628 48114 48216 48642 48708 48843 49446 49896 50512 50652 52272 52488 52528 53064 53136 53361 54243 56133 56749 56826 57687 58212 58806 59049 59094 59532 59697 59778 60434 60984 61236 61908 61992 63504 64152 64856 64944 65124 65928 66297 67536 68607 69454 69741 71148 71442 72171 72226 72324 72963 73062 74169 74844 75768 75978 76916 77616 78408 78732 78792 79376 79596 79704 81648 82544 85239 86832 87318 88209 88396 88641 89298 89667 90651 91476 91854 92862 92988 94864 95256 96228 96432 97284 97416 97686 98892 99792 101304 104181 104976 106128 106722 107163 108339 108486 109593 112266 113498 113652 113967 115374 116424 117612 118098 118188 119064 119394 119556 120868 121968 122472 123816 123984 128304 129712 130248 130977 131856 132594 133947 134603 137214 137781 138908 139293 139482 142296 142884 144342 144452 144648 145926 146124 146529 148338 149688 151536 151956 153832 156816 157464 157584 159192 159408 160083 162729 168399 170247 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320576292729 344499896664 349719592068 353288159334 366372905976 375308830512 381512282256 412169519223 422222434326 427435056972 449639475516 466292789424 471050879112 482539924944 516749844996 524579388102 549559358964 562963245768 569913409296 572268423384 599519300688 641152585458 688999793328 699439184136 706576318668 732745811952 786869082153 824339038446 844444868652 854870113944 899278951032 942101758224 961728878187 1033499689992 1049158776204 1099118717928 1125926491536 1144536846768 1236508557669 1282305170916 1398878368272 1413152637336 1573738164306 1648678076892 1688889737304 1709740227888 1798557902064 1923457756374 2066999379984 2098317552408 2198237435856 2473017115338 2564610341832 2826305274672 2885186634561 3147476328612 3297356153784 3377779474608 3846915512748 4196635104816 4946034230676 5129220683664 5770373269122 6294952657224 6594712307568 7693831025496 8655559903683 9892068461352 11540746538244 12589905314448 15387662050992 17311119807366 19784136922704 23081493076488 34622239614732 46162986152976 69244479229464 138488958458928
- Sum of all divisors σ(n): 535047620369976
- Sum of proper divisors (its aliquot sum) s(n): 396558661911048
- 138488958458928 is an abundant number, because the sum of its proper divisors (396558661911048) is greater than itself. Its abundance is 258069703452120
Bases of 138488958458928
- Binary: 111110111110100011110010010110010011100001100002
- Hexadecimal: 0x7DF4792C9C30
- Base-36: 1D38Y66R00
Squares and roots of 138488958458928
- 138488958458928 squared (1384889584589282) is 19179191615038685244662909184
- 138488958458928 cubed (1384889584589283) is 2656106270850912698729815096103449857994752
-
The
square root of 138488958458928 is 11768133.1764612521 -
The
cube root of 138488958458928 is 51737.4535723193
Scales and comparisons
How big is 138488958458928?- 138,488,958,458,928 seconds is equal to 4,403,520 years, 26 weeks, 1 day, 15 hours, 28 minutes, 48 seconds.
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To count from 1 to 138,488,958,458,928 would take you about eleven million, eight thousand, eight hundred one 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 138488958458928 cubic inches would be around 4311.5 feet tall.
Recreational maths with 138488958458928
- 138488958458928 backwards is 829854859884831
- The number of decimal digits it has is: 15
- The sum of 138488958458928's digits is 90
- More coming soon!
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"Number 138488958458928 - Facts about the integer". Numbermatics.com. 2024. Web. 10 June 2024.
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The information we have on file for 138488958458928 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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