138057578385408
138,057,578,385,408 is an even composite number composed of five prime numbers multiplied together.
What does the number 138057578385408 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1404 divisors.
138057578385408 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred four divisors.
Prime factorization of 138057578385408:
212 × 35 × 11 × 532 × 672
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 11 × 53 × 53 × 67 × 67)See below for interesting mathematical facts about the number 138057578385408 from the Numbermatics database.
Names of 138057578385408
- Cardinal: 138057578385408 can be written as One hundred thirty-eight trillion, fifty-seven billion, five hundred seventy-eight million, three hundred eighty-five thousand, four hundred eight.
Scientific notation
- Scientific notation: 1.38057578385408 × 1014
Factors of 138057578385408
Divisors of 138057578385408
- Number of divisors d(n): 1404
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 53 54 64 66 67 72 81 88 96 99 106 108 128 132 134 144 159 162 176 192 198 201 212 216 243 256 264 268 288 297 318 324 352 384 396 402 424 432 477 486 512 528 536 576 583 594 603 636 648 704 737 768 792 804 848 864 891 954 972 1024 1056 1072 1152 1166 1188 1206 1272 1296 1408 1431 1474 1536 1584 1608 1696 1728 1749 1782 1809 1908 1944 2048 2112 2144 2211 2304 2332 2376 2412 2544 2592 2673 2809 2816 2862 2948 3072 3168 3216 3392 3456 3498 3551 3564 3618 3816 3888 4096 4224 4288 4293 4422 4489 4608 4664 4752 4824 5088 5184 5247 5346 5427 5618 5632 5724 5896 6144 6336 6432 6633 6784 6912 6996 7102 7128 7236 7632 7776 8427 8448 8576 8586 8844 8978 9216 9328 9504 9648 10176 10368 10494 10653 10692 10854 11236 11264 11448 11792 12288 12672 12864 12879 13266 13467 13568 13824 13992 14204 14256 14472 15264 15552 15741 16281 16854 16896 17152 17172 17688 17956 18432 18656 19008 19296 19899 20352 20736 20988 21306 21384 21708 22472 22528 22896 23584 25281 25344 25728 25758 26532 26934 27136 27648 27984 28408 28512 28944 30528 30899 31104 31482 31959 32562 33708 33792 34304 34344 35376 35912 36864 37312 38016 38592 39061 39798 40401 40704 41472 41976 42612 42768 43416 44944 45056 45792 47168 47223 49379 50562 50688 51456 51516 53064 53868 54272 55296 55968 56816 57024 57888 59697 61056 61798 62208 62964 63918 65124 67416 67584 68608 68688 70752 71824 74624 75843 76032 77184 78122 79596 80802 81408 82944 83952 85224 85536 86832 89888 91584 92697 94336 94446 95877 98758 101124 101376 102912 103032 106128 107736 108544 110592 111936 113632 114048 115776 117183 119394 121203 122112 123596 124416 125928 127836 130248 134832 135168 137216 137376 141504 141669 143648 148137 149248 151686 152064 154368 156244 159192 161604 162816 165888 167904 170448 171072 173664 179091 179776 183168 185394 188203 188672 188892 191754 197516 202248 202752 205824 206064 212256 215472 217088 223872 227264 227529 228096 231552 234366 237917 238788 242406 244224 247192 248832 251856 255672 260496 269664 274432 274752 278091 283008 283338 287296 287631 296274 298496 303372 304128 308736 312488 318384 323208 325632 331776 335808 340896 342144 347328 351549 358182 359552 363609 366336 370788 376406 377344 377784 383508 395032 404496 405504 411648 412128 424512 430944 444411 447744 454528 455058 456192 463104 468732 475834 477576 484812 488448 494384 497664 503712 511344 520992 539328 549504 556182 564609 566016 566676 574592 575262 592548 596992 606744 608256 617472 624976 636768 646416 651264 671616 681792 682587 684288 694656 703098 713751 716364 719104 727218 732672 741576 752812 754688 755568 767016 790064 808992 823296 824256 834273 849024 861888 862893 888822 895488 909056 910116 912384 926208 937464 951668 955152 969624 976896 988768 995328 1007424 1022688 1041984 1054647 1078656 1090827 1099008 1112364 1129218 1132032 1133352 1149184 1150524 1185096 1193984 1213488 1216512 1234944 1249952 1273536 1292832 1333233 1343232 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16079382528 16098131808 16342042896 16382767104 17754318208 18089305344 19079267328 19368347136 19439253504 19733787648 19973607984 20350468512 20813746176 21464175744 21789390528 22470308982 23415464448 24119073792 24513064344 24574150656 25439023104 25824462848 26311716864 26631477312 27133958016 28618900992 29052520704 29600681472 29960411976 30754639872 31220619264 32158765056 32196263616 32684085792 33705463473 35508636416 36178610688 38158534656 38736694272 38878507008 39467575296 39947215968 40700937024 42928351488 43578781056 44940617964 46830928896 48238147584 49026128688 49148301312 51648925696 53262954624 54267916032 57237801984 58105041408 59201362944 59920823952 62441238528 64392527232 65368171584 67410926946 71017272832 72357221376 76317069312 77473388544 78935150592 79894431936 81401874048 85856702976 87157562112 89881235928 93661857792 96476295168 98052257376 106525909248 108535832064 114475603968 116210082816 118402725888 119841647904 128785054464 130736343168 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23009596397568 34514394596352 46019192795136 69028789192704 138057578385408
- Sum of all divisors σ(n): 466788268045008
- Sum of proper divisors (its aliquot sum) s(n): 328730689659600
- 138057578385408 is an abundant number, because the sum of its proper divisors (328730689659600) is greater than itself. Its abundance is 190673111274192
Bases of 138057578385408
- Binary: 111110110010000000010001110101100010000000000002
- Hexadecimal: 0x7D9008EB1000
- Base-36: 1CXQRXMO00
Squares and roots of 138057578385408
- 138057578385408 squared (1380575783854082) is 19059894949643074192187326464
- 138057578385408 cubed (1380575783854083) is 2631362941027990780199726752177677309837312
-
The
square root of 138057578385408 is 11749790.5677253669 -
The
cube root of 138057578385408 is 51683.6785991889
Scales and comparisons
How big is 138057578385408?- 138,057,578,385,408 seconds is equal to 4,389,803 years, 49 weeks, 3 days, 17 hours, 16 minutes, 48 seconds.
-
To count from 1 to 138,057,578,385,408 would take you about ten million, nine hundred seventy-four thousand, five hundred 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 138057578385408 cubic inches would be around 4307 feet tall.
Recreational maths with 138057578385408
- 138057578385408 backwards is 804583875750831
- 138057578385408 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138057578385408's digits is 72
- More coming soon!
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The information we have on file for 138057578385408 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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