137378986213248
137,378,986,213,248 is an even composite number composed of six prime numbers multiplied together.
137378986213248 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 137378986213248:
27 × 32 × 13 × 19 × 232 × 973
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 19 × 23 × 23 × 97 × 97 × 97)See below for interesting mathematical facts about the number 137378986213248 from the Numbermatics database.
Names of 137378986213248
- Cardinal: 137378986213248 can be written as One hundred thirty-seven trillion, three hundred seventy-eight billion, nine hundred eighty-six million, two hundred thirteen thousand, two hundred forty-eight.
Scientific notation
- Scientific notation: 1.37378986213248 × 1014
Factors of 137378986213248
Divisors of 137378986213248
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 19 23 24 26 32 36 38 39 46 48 52 57 64 69 72 76 78 92 96 97 104 114 117 128 138 144 152 156 171 184 192 194 207 208 228 234 247 276 288 291 299 304 312 342 368 384 388 414 416 437 456 468 494 529 552 576 582 598 608 624 684 736 741 776 828 832 873 874 897 912 936 988 1058 1104 1152 1164 1196 1216 1248 1261 1311 1368 1472 1482 1552 1587 1656 1664 1746 1748 1794 1824 1843 1872 1976 2116 2208 2223 2231 2328 2392 2432 2496 2522 2622 2691 2736 2944 2964 3104 3174 3312 3492 3496 3588 3648 3686 3744 3783 3933 3952 4232 4416 4446 4462 4656 4761 4784 4992 5044 5244 5382 5472 5529 5681 5928 6208 6348 6624 6693 6877 6984 6992 7176 7296 7372 7488 7566 7866 7904 8464 8832 8892 8924 9312 9409 9522 9568 10051 10088 10488 10764 10944 11058 11349 11362 11856 12416 12696 13248 13386 13754 13968 13984 14352 14744 14976 15132 15732 15808 16587 16928 17043 17784 17848 18624 18818 19044 19136 20079 20102 20176 20631 20976 21528 21888 22116 22698 22724 23712 23959 25392 26496 26772 27508 27936 27968 28227 28704 29003 29488 30153 30264 31464 31616 33174 33856 34086 35568 35696 37248 37636 38088 38272 40158 40204 40352 41262 41952 42389 43056 44232 45396 45448 47424 47918 50784 51129 51313 53544 55016 55872 55936 56454 57408 58006 58976 60306 60528 61893 62928 66348 67712 68172 71136 71392 71877 75272 76176 80316 80408 80704 82524 83904 84681 84778 86112 87009 88464 90459 90792 90896 94848 95836 101568 102258 102626 107088 110032 111744 112908 114816 116012 117952 120612 121056 122317 123786 125856 127167 130663 132696 136344 142272 142784 143754 150544 152352 153939 160632 160816 161408 165048 167808 169362 169556 172224 174018 176928 178771 180918 181584 181792 191672 203136 204516 205252 214176 215631 216407 220064 225816 232024 235904 241224 242112 244634 247572 251712 254334 261027 261326 265392 272688 284544 285568 287508 301088 304704 307878 321264 321632 330096 338724 339112 344448 348036 353856 357542 361836 363168 363584 366951 381501 383344 391989 409032 410504 428352 431262 432814 440128 451632 461817 464048 482448 484224 489268 495144 503424 508668 522054 522652 530784 536313 545376 551057 575016 602176 609408 615756 642528 643264 649221 660192 667069 677448 678224 696072 707712 715084 723672 726336 727168 733902 763002 766688 783978 818064 821008 856704 862524 865628 880256 903264 912673 923634 928096 964896 974947 978536 990288 1017336 1044108 1045304 1061568 1072626 1090752 1100853 1102114 1150032 1175967 1204352 1231512 1285056 1286528 1298442 1320384 1334138 1354896 1356448 1392144 1430168 1447344 1452672 1467804 1526004 1533376 1567956 1608939 1636128 1642016 1653171 1725048 1731256 1806528 1825346 1847268 1856192 1929792 1947663 1949894 1957072 1980576 2001207 2034672 2088216 2090608 2123136 2145252 2181504 2201706 2204228 2300064 2324023 2351934 2463024 2570112 2596884 2640768 2668276 2709792 2712896 2738019 2784288 2813291 2860336 2894688 2924841 2935608 3052008 3066752 3135912 3217878 3272256 3284032 3306342 3450096 3462512 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259695626112 278095113792 293544842336 301269706608 314368389504 330237947628 331833300032 354069552096 357757776597 373312462536 401692942144 440317263504 451904559912 459461492352 472092736128 477010368796 497749950048 556190227584 587089684672 602539413216 660475895256 663666600064 708139104192 715515553194 746624925072 803385884288 880634527008 903809119824 954020737592 995499900096 1073273329791 1174179369344 1205078826432 1320951790512 1416278208384 1431031106388 1493249850144 1761269054016 1807618239648 1908041475184 1990999800192 2146546659582 2410157652864 2641903581024 2862062212776 2986499700288 3522538108032 3615236479296 3816082950368 4293093319164 5283807162048 5724124425552 5972999400576 7230472958592 7632165900736 8586186638328 10567614324096 11448248851104 15264331801472 17172373276656 22896497702208 34344746553312 45792995404416 68689493106624 137378986213248
- Sum of all divisors σ(n): 473350014228000
- Sum of proper divisors (its aliquot sum) s(n): 335971028014752
- 137378986213248 is an abundant number, because the sum of its proper divisors (335971028014752) is greater than itself. Its abundance is 198592041801504
Bases of 137378986213248
- Binary: 111110011110010000010011010110000111111100000002
- Hexadecimal: 0x7CF209AC3F80
- Base-36: 1CP319DCW0
Squares and roots of 137378986213248
- 137378986213248 squared (1373789862132482) is 18872985852979784058530709504
- 137378986213248 cubed (1373789862132483) is 2592751663299334299636146512433639684308992
-
The
square root of 137378986213248 is 11720878.2185145155 -
The
cube root of 137378986213248 is 51598.8594951091
Scales and comparisons
How big is 137378986213248?- 137,378,986,213,248 seconds is equal to 4,368,226 years, 42 weeks, 4 days, 15 hours, 40 minutes, 48 seconds.
-
To count from 1 to 137,378,986,213,248 would take you about ten million, nine hundred twenty thousand, five hundred sixty-seven 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 137378986213248 cubic inches would be around 4299.9 feet tall.
Recreational maths with 137378986213248
- 137378986213248 backwards is 842312689873731
- 137378986213248 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137378986213248's digits is 72
- More coming soon!
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The information we have on file for 137378986213248 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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