137966792964
137,966,792,964 is an even composite number composed of seven prime numbers multiplied together.
137966792964 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 137966792964:
22 × 3 × 73 × 11 × 133 × 19 × 73
(2 × 2 × 3 × 7 × 7 × 7 × 11 × 13 × 13 × 13 × 19 × 73)See below for interesting mathematical facts about the number 137966792964 from the Numbermatics database.
Names of 137966792964
- Cardinal: 137966792964 can be written as One hundred thirty-seven billion, nine hundred sixty-six million, seven hundred ninety-two thousand, nine hundred sixty-four.
Scientific notation
- Scientific notation: 1.37966792964 × 1011
Factors of 137966792964
Divisors of 137966792964
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 6 7 11 12 13 14 19 21 22 26 28 33 38 39 42 44 49 52 57 66 73 76 77 78 84 91 98 114 132 133 143 146 147 154 156 169 182 196 209 219 228 231 247 266 273 286 292 294 308 338 343 364 399 418 429 438 462 494 507 511 532 539 546 572 588 627 637 676 686 741 798 803 836 858 876 924 931 949 988 1001 1014 1022 1029 1078 1092 1183 1254 1274 1372 1387 1463 1482 1533 1596 1606 1617 1716 1729 1859 1862 1898 1911 2002 2028 2044 2058 2156 2197 2366 2409 2508 2548 2717 2774 2793 2847 2926 2964 3003 3066 3211 3212 3234 3458 3549 3577 3718 3724 3773 3796 3822 4004 4116 4161 4389 4394 4459 4732 4818 5187 5434 5548 5577 5586 5621 5694 5852 6006 6132 6422 6468 6517 6591 6643 6916 7007 7098 7154 7436 7546 7644 8151 8281 8322 8778 8788 8918 9633 9636 9709 10241 10374 10439 10731 10868 11154 11172 11242 11319 11388 12012 12103 12337 12844 13013 13034 13182 13286 13377 14014 14196 14308 15092 15257 15379 16302 16562 16644 16863 17556 17836 18031 19019 19266 19418 19551 19929 20482 20748 20878 21021 21462 22308 22477 22484 22638 24167 24206 24674 24843 25039 26026 26068 26364 26572 26754 28028 29127 30514 30723 30758 31317 32604 33124 33726 35321 36062 36309 37011 38038 38532 38836 39039 39102 39347 39858 40964 41743 41756 42042 42924 44954 45276 45771 46137 46501 48334 48412 49049 49348 49686 50078 52052 53508 54093 57057 57967 58254 61028 61446 61516 62634 67431 67452 67963 70642 71687 72124 72501 72618 73073 74022 75117 76076 78078 78204 78694 79716 83486 84084 84721 86359 89908 91091 91542 92274 93002 96668 98098 99372 100156 105963 106799 107653 108186 114114 115934 116508 118041 122892 125229 125268 126217 133133 134862 135707 135926 139503 141284 143374 145002 145236 146146 147147 148044 150234 156156 157339 157388 160381 166972 169169 169442 172718 173901 182182 183084 184548 186004 196196 198341 203889 211926 213598 215061 215306 216372 219219 228228 231868 234403 236082 247247 250458 252434 254163 259077 266266 269724 271414 271852 273273 275429 279006 286748 290004 292201 292292 294294 300468 314678 320397 320762 322959 325507 338338 338884 345436 347802 364364 378651 396682 399399 407121 407778 423852 427196 430122 430612 438438 459173 468806 472017 472164 475741 481143 494494 500916 504868 507507 508326 511511 518154 532532 542828 546546 550858 558012 584402 588588 595023 604513 629356 637637 640794 641524 645918 651014 676676 695604 703209 741741 747593 753571 757302 793364 798798 814242 815556 826287 860244 876603 876876 883519 918346 931931 937612 944034 949949 951482 962286 976521 988988 1015014 1016652 1023022 1036308 1093092 1101373 1101716 1122667 1168804 1184183 1190046 1209026 1275274 1281588 1291836 1302028 1377519 1388387 1406418 1427223 1483482 1495186 1507142 1514604 1534533 1597596 1628484 1640821 1652574 1730729 1753206 1764191 1767038 1813539 1836692 1863862 1888068 1899898 1902964 1912911 1924572 1953042 2030028 2045407 2046044 2202746 2242779 2245334 2260713 2368366 2380092 2418052 2550548 2578433 2650557 2755038 2776774 2795793 2812836 2849847 2854446 2966964 2990372 3014284 3047239 3069066 3214211 3281642 3304119 3305148 3368001 3461458 3506412 3528382 3534076 3552549 3580577 3627078 3727724 3799796 3825822 3906084 4090814 4165161 4231591 4405492 4485558 4490668 4521426 4736732 4922463 5156866 5192187 5233151 5292573 5301114 5510076 5553548 5591586 5699694 5708892 6094478 6136221 6138132 6184633 6428422 6563284 6608238 6649643 6736002 6922916 7056764 7105098 7161154 7254156 7651644 7735299 7858669 8181628 8289281 8330322 8463182 8971116 9042852 9141717 9642633 9718709 9844926 10313732 10384374 10466302 10585146 10602228 10741731 11183172 11399388 11485747 12115103 12188956 12272442 12349337 12369266 12694773 12856844 13216476 13299286 13472004 14210196 14317849 14322308 15470598 15699453 15717338 16578562 16660644 16926364 18049031 18283434 18553899 19285266 19437418 19689852 19948929 20768748 20932604 21170292 21330673 21483462 22499477 22971494 23576007 24230206 24544884 24698674 24738532 24867843 25389546 26598572 28635698 29156127 30941196 31398906 31434676 33157124 33519629 34457241 36098062 36345309 36566868 37048011 37107798 38570532 38874836 39897858 42661346 42953547 42966924 44998954 45942988 46547501 47152014 48460412 49397348 49735686 50779092 54147093 55010683 57271396 58312254 62797812 63992019 67039258 67498431 68030963 68914482 72196124 72690618 74096022 74215596 79795716 80400229 85322692 85907094 86445359 89997908 93095002 94304028 99471372 100558887 108294186 110021366 116624508 126343217 127984038 134078516 134996862 136061926 137828964 139642503 145381236 148192044 149314711 157496339 160800458 165032049 171814188 172890718 186190004 201117774 204092889 216588372 220042732 234637403 241200687 252686434 255968076 259336077 269993724 272123852 279285006 298629422 314992678 321600916 330064098 345781436 379029651 402235548 408185778 447944133 469274806 472489017 482401374 505372868 518672154 558570012 597258844 605117513 629985356 660128196 703912209 758059302 816371556 884402519 895888266 938549612 944978034 964802748 1037344308 1045202977 1210235026 1407824418 1516118604 1642461821 1768805038 1791776532 1815352539 1889956068 2090405954 2420470052 2653207557 2815648836 3135608931 3284923642 3537610076 3630705078 4180811908 4927385463 5306415114 6271217862 6569847284 7261410156 9854770926 10612830228 11497232747 12542435724 19709541852 22994465494 34491698241 45988930988 68983396482 137966792964
- Sum of all divisors σ(n): 473410560000
- Sum of proper divisors (its aliquot sum) s(n): 335443767036
- 137966792964 is an abundant number, because the sum of its proper divisors (335443767036) is greater than itself. Its abundance is 197476974072
Bases of 137966792964
- Binary: 100000000111110111011000110001000001002
- Hexadecimal: 0x201F763104
- Base-36: 1RDPV6RO
Squares and roots of 137966792964
- 137966792964 squared (1379667929642) is 19034835960771239905296
- 137966792964 cubed (1379667929643) is 2626175272103427681779548199137344
-
The
square root of 137966792964 is 371438.8145630449 -
The
cube root of 137966792964 is 5167.2347207673
Scales and comparisons
How big is 137966792964?- 137,966,792,964 seconds is equal to 4,386 years, 47 weeks, 4 days, 21 hours, 9 minutes, 24 seconds.
-
To count from 1 to 137,966,792,964 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 137966792964 cubic inches would be around 430.6 feet tall.
Recreational maths with 137966792964
- 137966792964 backwards is 469297669731
- The number of decimal digits it has is: 12
- The sum of 137966792964's digits is 69
- More coming soon!
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