137329092431713728
137,329,092,431,713,728 is an even composite number composed of five prime numbers multiplied together.
137329092431713728 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, eight hundred ninety divisors.
Prime factorization of 137329092431713728:
26 × 38 × 7 × 134 × 12792
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 13 × 13 × 13 × 13 × 1279 × 1279)See below for interesting mathematical facts about the number 137329092431713728 from the Numbermatics database.
Names of 137329092431713728
- Cardinal: 137329092431713728 can be written as One hundred thirty-seven quadrillion, three hundred twenty-nine trillion, ninety-two billion, four hundred thirty-one million, seven hundred thirteen thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 1.37329092431713728 × 1017
Factors of 137329092431713728
Divisors of 137329092431713728
- Number of divisors d(n): 1890
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 39 42 48 52 54 56 63 64 72 78 81 84 91 96 104 108 112 117 126 144 156 162 168 169 182 189 192 208 216 224 234 243 252 273 288 312 324 336 338 351 364 378 416 432 448 468 486 504 507 546 567 576 624 648 672 676 702 728 729 756 819 832 864 936 972 1008 1014 1053 1092 1134 1183 1248 1279 1296 1344 1352 1404 1456 1458 1512 1521 1638 1701 1728 1872 1944 2016 2028 2106 2184 2187 2197 2268 2366 2457 2496 2558 2592 2704 2808 2912 2916 3024 3042 3159 3276 3402 3549 3744 3837 3888 4032 4056 4212 4368 4374 4394 4536 4563 4732 4914 5103 5116 5184 5408 5616 5824 5832 6048 6084 6318 6552 6561 6591 6804 7098 7371 7488 7674 7776 8112 8424 8736 8748 8788 8953 9072 9126 9464 9477 9828 10206 10232 10647 10816 11232 11511 11664 12096 12168 12636 13104 13122 13182 13608 13689 14196 14742 15309 15348 15379 15552 16224 16627 16848 17472 17496 17576 17906 18144 18252 18928 18954 19656 19773 20412 20464 21294 22113 22464 23022 23328 24336 25272 26208 26244 26364 26859 27216 27378 28392 28431 28561 29484 30618 30696 30758 31941 32448 33254 33696 34533 34992 35152 35812 36288 36504 37856 37908 39312 39546 40824 40928 41067 42588 44226 45927 46044 46137 46656 48672 49881 50544 52416 52488 52728 53718 54432 54756 56784 56862 57122 58968 59319 61236 61392 61516 63882 66339 66508 67392 69066 69984 70304 71624 73008 75712 75816 78624 79092 80577 81648 81856 82134 85176 85293 85683 88452 91854 92088 92274 95823 97344 99762 101088 103599 104976 105456 107436 108864 109512 113568 113724 114244 116389 117936 118638 122472 122784 123032 123201 127764 132678 133016 138132 138411 139968 140608 143248 146016 149643 151632 157248 158184 161154 163296 164268 170352 170586 171366 176904 177957 183708 184176 184548 191646 199017 199524 199927 202176 207198 209952 210912 214872 216151 219024 227136 227448 228488 232778 235872 237276 241731 244944 245568 246064 246402 255528 257049 265356 266032 276264 276822 286496 287469 292032 299286 303264 310797 316368 322308 326592 328536 340704 341172 342732 349167 353808 355914 367416 368352 369096 369603 383292 398034 399048 399854 414396 415233 419904 421824 429744 432302 438048 448929 454896 456976 465556 471744 474552 483462 489888 492128 492804 511056 514098 530712 532064 533871 552528 553644 572992 574938 597051 598572 599781 606528 621594 632736 644616 648453 657072 681408 682344 685464 698334 707616 711828 725193 734832 736704 738192 739206 766584 771147 796068 798096 799708 828792 830466 859488 862407 864604 876096 897858 909792 913952 931112 932391 949104 966924 979776 984256 985608 1022112 1028196 1047501 1061424 1064128 1067742 1105056 1107288 1108809 1149876 1194102 1197144 1199562 1243188 1245699 1265472 1289232 1296906 1314144 1346787 1364688 1370928 1396668 1415232 1423656 1450386 1469664 1476384 1478412 1513057 1533168 1542294 1592136 1596192 1599416 1601613 1635841 1657584 1660932 1718976 1724814 1729208 1795716 1799343 1819584 1827904 1862224 1864782 1898208 1933848 1945359 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2232412582608 2236921625484 2242620230448 2315094530112 2328874854696 2404136627424 2415129478944 2418446964492 2508019074288 2522947759254 2556481857696 2604481346376 2616390268856 2619984211533 2717020663812 2753134308288 2821521458574 2943439052463 2976550110144 2982562167312 2990160307264 3105166472928 3224595952656 3344025432384 3355382438226 3363930345672 3472641795168 3493312282044 3622694218416 3627670446738 3762028611432 3784421638881 3834722786544 3906722019564 3924585403284 3976749556416 4075530995718 4129701462432 4232282187861 4299461270208 4464825165216 4473843250968 4485240460896 4657749709392 4808273254848 4830258957888 4836893928984 5016038148576 5045895518508 5112963715392 5208962692752 5232780537712 5239968423066 5434041327624 5643042917148 5886878104926 5965124334624 6113296493577 6210332945856 6449191905312 6710764876452 6727860691344 6945283590336 6986624564088 7245388436832 7255340893476 7524057222864 7568843277762 7669445573088 7813444039128 7849170806568 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36679778961462 38695151431872 40367164148064 41919747384528 43472330620992 45144343337184 45413059666572 47095024839408 47159715807594 48906371948616 50787386254332 52981902944334 53686119011616 55019668442193 55892996512704 58042727147808 60550746222096 62507552313024 62793366452544 62879621076792 65208495931488 67716515005776 68119589499858 70642537259112 73359557922924 79472854416501 80734328296128 83839494769056 90288686674368 90826119333144 94190049678816 94319431615188 97812743897232 101574772508664 102179384249787 105963805888668 107372238023232 110039336884386 116085454295616 121101492444192 125759242153584 130416991862976 135433030011552 136239178999716 141285074518224 146719115845848 158945708833002 165059005326579 167678989538112 181652238666288 188380099357632 188638863230376 195625487794464 203149545017328 204358768499574 211927611777336 220078673768772 238418563249503 242202984888384 251518484307168 270866060023104 272478357999432 282570149036448 293438231691696 306538152749361 317891417666004 330118010653158 363304477332576 377277726460752 391250975588928 406299090034656 408717536999148 423855223554672 440157347537544 476837126499006 503036968614336 544956715998864 565140298072896 586876463383392 613076305498722 635782835332008 660236021306316 715255689748509 726608954665152 754555452921504 812598180069312 817435073998296 847710447109344 880314695075088 953674252998012 1089913431997728 1173752926766784 1226152610997444 1271565670664016 1320472042612632 1430511379497018 1509110905843008 1634870147996592 1695420894218688 1760629390150176 1907348505996024 2145767069245527 2179826863995456 2452305221994888 2543131341328032 2640944085225264 2861022758994036 3269740295993184 3521258780300352 3814697011992048 4291534138491054 4904610443989776 5086262682656064 5281888170450528 5722045517988072 6539480591986368 7629394023984096 8583068276982108 9809220887979552 10563776340901056 11444091035976144 15258788047968192 17166136553964216 19618441775959104 22888182071952288 34332273107928432 45776364143904576 68664546215856864 137329092431713728
- Sum of all divisors σ(n): 506463398585630616
- Sum of proper divisors (its aliquot sum) s(n): 369134306153916888
- 137329092431713728 is an abundant number, because the sum of its proper divisors (369134306153916888) is greater than itself. Its abundance is 231805213722203160
Bases of 137329092431713728
- Binary: 1111001111110010000010100111110111011100000010101110000002
- Hexadecimal: 0x1E7E414FBB815C0
- Base-36: 11K73M4DR000
Squares and roots of 137329092431713728
- 137329092431713728 squared (1373290924317137282) is 18859279628118172726726694943657984
- 137329092431713728 cubed (1373290924317137283) is 2589927755245376244909891121176648812515866229604352
-
The
square root of 137329092431713728 is 370579400.9813736637 -
The
cube root of 137329092431713728 is 515926.1212054251
Scales and comparisons
How big is 137329092431713728?- 137,329,092,431,713,728 seconds is equal to 4,366,640,352 years, 28 weeks, 6 days, 28 minutes, 48 seconds.
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To count from 1 to 137,329,092,431,713,728 would take you about thirteen billion, ninety-nine million, nine hundred twenty-one thousand and fifty-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 137329092431713728 cubic inches would be around 42993.8 feet tall.
Recreational maths with 137329092431713728
- 137329092431713728 backwards is 827317134290923731
- 137329092431713728 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 137329092431713728's digits is 72
- More coming soon!
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The information we have on file for 137329092431713728 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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