137957787968
137,957,787,968 is an even composite number composed of five prime numbers multiplied together.
137957787968 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five hundred four divisors.
Prime factorization of 137957787968:
26 × 7 × 113 × 132 × 372
(2 × 2 × 2 × 2 × 2 × 2 × 7 × 11 × 11 × 11 × 13 × 13 × 37 × 37)See below for interesting mathematical facts about the number 137957787968 from the Numbermatics database.
Names of 137957787968
- Cardinal: 137957787968 can be written as One hundred thirty-seven billion, nine hundred fifty-seven million, seven hundred eighty-seven thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.37957787968 × 1011
Factors of 137957787968
Divisors of 137957787968
- Number of divisors d(n): 504
-
Complete list of divisors:
1 2 4 7 8 11 13 14 16 22 26 28 32 37 44 52 56 64 74 77 88 91 104 112 121 143 148 154 169 176 182 208 224 242 259 286 296 308 338 352 364 407 416 448 481 484 518 572 592 616 676 704 728 814 832 847 962 968 1001 1036 1144 1183 1184 1232 1331 1352 1369 1456 1573 1628 1694 1859 1924 1936 2002 2072 2288 2366 2368 2464 2662 2704 2738 2849 2912 3146 3256 3367 3388 3718 3848 3872 4004 4144 4477 4576 4732 4928 5291 5324 5408 5476 5698 5824 6253 6292 6512 6734 6776 7436 7696 7744 8008 8288 8954 9152 9317 9464 9583 10582 10648 10816 10952 11011 11396 12506 12584 13013 13024 13468 13552 14872 15059 15392 16016 16576 17303 17797 17908 18634 18928 19166 20449 21164 21296 21904 22022 22792 25012 25168 26026 26048 26936 27104 29744 30118 30784 31339 32032 34606 35594 35816 37037 37268 37856 38332 40898 42328 42592 43771 43808 44044 45584 49247 50024 50336 52052 53872 54208 58201 59488 60236 62678 64064 68783 69212 71188 71632 74074 74536 75712 76664 81796 84656 85184 87542 87616 88088 91168 98494 100048 100672 104104 105413 107744 116402 118976 120472 121121 124579 125356 137566 138424 142376 143143 143264 148148 149072 153328 163592 165649 169312 175084 176176 182336 195767 196988 200096 208208 210826 215488 224939 231361 232804 240944 242242 249158 250712 275132 276848 284752 286286 286528 296296 298144 306656 327184 331298 338624 344729 350168 352352 391534 393976 400192 407407 416416 421652 449878 462722 465608 481481 481888 484484 498316 501424 550264 553696 569504 572572 592592 596288 613312 640211 654368 662596 689458 700336 704704 756613 783068 787952 814814 832832 843304 899756 925444 931216 962962 963776 968968 996632 1002848 1100528 1107392 1139008 1145144 1159543 1185184 1280422 1308736 1325192 1370369 1378916 1400672 1513226 1566136 1574573 1575904 1619527 1629628 1686608 1799512 1822139 1850888 1862432 1925924 1937936 1993264 2005696 2153437 2201056 2290288 2319086 2370368 2544971 2560844 2650384 2740738 2757832 2801344 3026452 3132272 3149146 3151808 3239054 3259256 3373216 3599024 3644278 3701776 3724864 3851848 3875872 3986528 4306874 4402112 4481477 4580576 4638172 5089942 5121688 5296291 5300768 5481476 5515664 6052904 6264544 6298292 6478108 6518512 6746432 7198048 7288556 7403552 7703696 7751744 7973056 8322743 8613748 8962954 9161152 9276344 10179884 10243376 10592582 10601536 10962952 11031328 12105808 12529088 12596584 12754973 12956216 13037024 14396096 14577112 14807104 15074059 15407392 16645486 17227496 17814797 17925908 18552688 20359768 20486752 21185164 21925904 22062656 23687807 24211616 25193168 25509946 25912432 26074048 27994681 29154224 30148118 30814784 33290972 34454992 35629594 35851816 37105376 40719536 40973504 42370328 43851808 47375614 48423232 50386336 51019892 51824864 55989362 58259201 58308448 60296236 66581944 68909984 71259188 71703632 74210752 81439072 84740656 87703616 94751228 100772672 102039784 103649728 111978724 116518402 116616896 120592472 133163888 137819968 142518376 143407264 162878144 165814649 169481312 189502456 195962767 204079568 223957448 233036804 241184944 266327776 285036752 286814528 307941491 331629298 338962624 379004912 391925534 408159136 447914896 466073608 482369888 532655552 570073504 615882982 663258596 758009824 783851068 816318272 895829792 932147216 964739776 1140147008 1231765964 1326517192 1516019648 1567702136 1791659584 1864294432 2155590437 2463531928 2653034384 3135404272 3728588864 4311180874 4927063856 5306068768 6270808544 8622361748 9854127712 10612137536 12541617088 17244723496 19708255424 34489446992 68978893984 137957787968
- Sum of all divisors σ(n): 382983418944
- Sum of proper divisors (its aliquot sum) s(n): 245025630976
- 137957787968 is an abundant number, because the sum of its proper divisors (245025630976) is greater than itself. Its abundance is 107067843008
Bases of 137957787968
- Binary: 100000000111101110110011001001010000002
- Hexadecimal: 0x201EECC940
- Base-36: 1RDKI6GW
Squares and roots of 137957787968
- 137957787968 squared (1379577879682) is 19032351261023645569024
- 137957787968 cubed (1379577879683) is 2625661079800797518045795700703232
-
The
square root of 137957787968 is 371426.6925895337 -
The
cube root of 137957787968 is 5167.1222977237
Scales and comparisons
How big is 137957787968?- 137,957,787,968 seconds is equal to 4,386 years, 32 weeks, 5 days, 15 hours, 46 minutes, 8 seconds.
-
To count from 1 to 137,957,787,968 would take you about eight thousand, seven hundred seventy-three 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 137957787968 cubic inches would be around 430.6 feet tall.
Recreational maths with 137957787968
- 137957787968 backwards is 869787759731
- 137957787968 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 137957787968's digits is 77
- More coming soon!
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