138629826228096
138,629,826,228,096 is an even composite number composed of six prime numbers multiplied together.
138629826228096 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 138629826228096:
27 × 33 × 72 × 193 × 412 × 71
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 19 × 19 × 19 × 41 × 41 × 71)See below for interesting mathematical facts about the number 138629826228096 from the Numbermatics database.
Names of 138629826228096
- Cardinal: 138629826228096 can be written as One hundred thirty-eight trillion, six hundred twenty-nine billion, eight hundred twenty-six million, two hundred twenty-eight thousand and ninety-six.
Scientific notation
- Scientific notation: 1.38629826228096 × 1014
Factors of 138629826228096
Divisors of 138629826228096
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 27 28 32 36 38 41 42 48 49 54 56 57 63 64 71 72 76 82 84 96 98 108 112 114 123 126 128 133 142 144 147 152 164 168 171 189 192 196 213 216 224 228 246 252 266 284 287 288 294 304 328 336 342 361 369 378 384 392 399 426 432 441 448 456 492 497 504 513 532 568 574 576 588 608 639 656 672 684 722 738 756 779 784 798 852 861 864 882 896 912 931 984 994 1008 1026 1064 1083 1107 1136 1148 1152 1176 1197 1216 1278 1312 1323 1344 1349 1368 1444 1476 1491 1512 1558 1568 1596 1681 1704 1722 1728 1764 1824 1862 1917 1968 1988 2009 2016 2052 2128 2166 2214 2272 2296 2337 2352 2394 2432 2527 2556 2583 2624 2646 2688 2698 2736 2793 2888 2911 2952 2982 3024 3116 3136 3192 3249 3362 3408 3444 3456 3479 3528 3591 3648 3724 3834 3936 3976 4018 4032 4047 4104 4256 4332 4428 4473 4544 4592 4674 4704 4788 5043 5054 5112 5166 5248 5292 5396 5453 5472 5586 5776 5822 5904 5964 6027 6048 6232 6272 6384 6498 6724 6816 6859 6888 6958 7011 7056 7182 7296 7448 7581 7668 7749 7872 7952 8036 8064 8094 8208 8379 8512 8664 8733 8856 8946 9088 9184 9348 9408 9443 9576 9747 10086 10108 10224 10332 10437 10584 10792 10906 10944 11172 11552 11644 11767 11808 11928 12054 12096 12141 12464 12768 12996 13419 13448 13632 13718 13776 13916 14022 14112 14364 14801 14896 15129 15162 15336 15498 15744 15904 16072 16188 16359 16416 16758 17024 17328 17466 17689 17712 17892 18081 18368 18696 18816 18886 19152 19494 20172 20216 20377 20448 20577 20664 20874 21033 21168 21584 21812 21888 22344 22743 23104 23288 23534 23616 23856 24108 24192 24282 24928 25137 25536 25631 25992 26199 26838 26896 27264 27436 27552 27832 28044 28224 28329 28728 29602 29792 30258 30324 30672 30996 31311 31808 31939 32144 32376 32718 32832 33516 34656 34932 35301 35378 35424 35784 36162 36423 36736 37392 37772 38171 38304 38988 40344 40432 40754 40896 41154 41328 41748 42066 42336 43168 43624 44403 44688 45387 45486 46208 46576 47068 47232 47712 48013 48216 48564 49077 49856 50274 51072 51262 51984 52398 53067 53676 53792 54243 54872 55104 55309 55664 56088 56448 56658 57456 59204 59584 60516 60648 61131 61344 61731 61992 62622 63616 63878 64288 64752 65436 65664 66101 67032 68229 69312 69864 70602 70756 70848 71568 72324 72846 74784 75544 76342 76608 76893 77976 78597 80688 80864 81508 81792 82308 82369 82656 83496 84132 84672 84987 86336 87248 88806 89376 90774 90972 93152 93933 94136 95424 95817 96026 96432 97128 98154 99712 100548 102524 103607 103968 104796 105903 106134 107352 107584 108486 109744 110208 110618 111328 112176 113316 114513 114912 118408 119168 119351 121032 121296 122262 122688 123462 123984 125244 127756 128576 129504 130872 132202 133209 134064 136458 138624 139728 141204 141512 141696 142639 143136 144039 144648 145692 147231 149568 151088 152684 153216 153786 155952 157194 159201 161376 161728 163016 164616 164738 165312 165927 166992 168264 169344 169974 172672 174496 177612 178752 179417 181548 181944 183393 185193 186304 187866 188272 190848 191634 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86860793376 88411878972 88979349312 91686393008 92977750656 93922646496 96004034784 101337592272 102764882304 103147192134 104784449152 105662977308 108474042432 114004791306 115814391168 117882505296 120338390823 120757688352 122033297736 125230195328 128005379712 130291190064 135116789696 137529589512 139466625984 140883969744 148904217216 152006388408 154720788201 157176673728 160451187764 161010251136 162711063648 173721586752 176823757944 177958698624 183372786016 187845292992 192008069568 202675184544 206294384268 211325954616 216948084864 228009582612 235765010592 240676781646 241515376704 244066595472 260582380128 270233579392 275059179024 278933251968 281767939488 304012776816 309441576402 314353347456 320902375528 325422127296 347443173504 353647515888 361015172469 366745572032 375690585984 384016139136 405350369088 412588768536 422651909232 456019165224 471530021184 481353563292 483030753408 488133190944 521164760256 550118358048 563535878976 608025553632 618883152804 641804751056 650844254592 707295031776 722030344938 733491144064 810700738176 825177537072 845303818464 912038330448 943060042368 962707126584 976266381888 1042329520512 1083045517407 1100236716096 1127071757952 1216051107264 1237766305608 1283609502112 1414590063552 1444060689876 1650355074144 1690607636928 1824076660896 1925414253168 1952532763776 2166091034814 2200473432192 2432102214528 2475532611216 2567219004224 2829180127104 2888121379752 3300710148288 3381215273856 3648153321792 3850828506336 4332182069628 4951065222432 5134438008448 5776242759504 6601420296576 7296306643584 7701657012672 8664364139256 9902130444864 11552485519008 15403314025344 17328728278512 19804260889728 23104971038016 34657456557024 46209942076032 69314913114048 138629826228096
- Sum of all divisors σ(n): 522193386816000
- Sum of proper divisors (its aliquot sum) s(n): 383563560587904
- 138629826228096 is an abundant number, because the sum of its proper divisors (383563560587904) is greater than itself. Its abundance is 244933734359808
Bases of 138629826228096
- Binary: 111111000010101010001011000110000101111100000002
- Hexadecimal: 0x7E15458C2F80
- Base-36: 1D51NV7XC0
Squares and roots of 138629826228096
- 138629826228096 squared (1386298262280962) is 19218228720032093634619785216
- 138629826228096 cubed (1386298262280963) is 2664219707869852953107488830333686944628736
-
The
square root of 138629826228096 is 11774116.7918488051 -
The
cube root of 138629826228096 is 51754.9896754007
Scales and comparisons
How big is 138629826228096?- 138,629,826,228,096 seconds is equal to 4,407,999 years, 34 weeks, 3 days, 15 hours, 21 minutes, 36 seconds.
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To count from 1 to 138,629,826,228,096 would take you about eleven million, nineteen thousand, nine hundred ninety-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 138629826228096 cubic inches would be around 4312.9 feet tall.
Recreational maths with 138629826228096
- 138629826228096 backwards is 690822628926831
- 138629826228096 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138629826228096's digits is 72
- More coming soon!
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The information we have on file for 138629826228096 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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