137642313710304

Names of 137642313710304

• Cardinal: 137642313710304 can be written as One hundred thirty-seven trillion, six hundred forty-two billion, three hundred thirteen million, seven hundred ten thousand, three hundred four.

Scientific notation

• Scientific notation: 1.37642313710304 × 10¹⁴

Factors of 137642313710304

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 157

Divisors of 137642313710304

• Number of divisors d(n): 672
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 139 144 156 162 169 208 216 234 243 278 288 312 324 338 351 416 417 432 468 486 507 556 624 648 676 702 729 834 864 936 972 1014 1053 1112 1248 1251 1296 1352 1404 1458 1521 1668 1807 1872 1944 2028 2106 2197 2224 2502 2592 2704 2808 2916 3042 3159 3336 3614 3744 3753 3888 4056 4212 4394 4448 4563 5004 5408 5421 5616 5832 6084 6318 6591 6672 7228 7506 7776 8112 8424 8788 9126 9477 10008 10842 11232 11259 11664 12168 12636 13182 13344 13689 14456 15012 16224 16263 16848 17576 18252 18954 19321 19773 20016 21684 22518 23328 23491 24336 25272 26364 27378 28912 30024 32526 33696 33777 35152 36504 37908 38642 39546 40032 41067 43368 45036 46982 48672 48789 50544 52728 54756 57824 57963 59319 60048 65052 67554 70304 70473 73008 75816 77284 79092 82134 86736 90072 93964 97578 101088 101331 105456 109512 115926 118638 120096 123201 130104 135108 140946 146016 146367 151632 154568 158184 164268 173472 173889 177957 180144 187928 195156 202662 210912 211419 219024 231852 237276 246402 251173 260208 270216 281892 292734 303264 305383 309136 316368 328536 347778 355914 360288 375856 390312 405324 422838 438048 439101 463704 474552 492804 502346 520416 521667 533871 540432 563784 585468 610766 618272 632736 634257 657072 695556 711828 751712 753519 780624 810648 845676 878202 916149 927408 949104 985608 1004692 1043334 1067742 1080864 1127568 1170936 1221532 1268514 1314144 1317303 1391112 1423656 1507038 1561248 1565001 1601613 1621296 1691352 1756404 1832298 1854816 1898208 1902771 1971216 2009384 2086668 2135484 2255136 2260557 2341872 2443064 2537028 2634606 2685619 2748447 2782224 2847312 3014076 3130002 3203226 3242592 3265249 3382704 3512808 3664596 3805542 3942432 4018768 4173336 4270968 4521114 4683744 4695003 4886128 5074056 5269212 5371238 5496894 5564448 5694624 5708313 6028152 6260004 6406452 6530498 6765408 6781671 7025616 7329192 7611084 8037536 8056857 8245341 8346672 8541936 9042228 9390006 9772256 9795747 10148112 10538424 10742476 10993788 11416626 12056304 12520008 12812904 13060996 13563342 14051232 14085009 14658384 15222168 16113714 16490682 16693344 17083872 17124939 18084456 18780012 19591494 20296224 20345013 21076848 21484952 21987576 22833252 24112608 24170571 24736023 25040016 25625808 26121992 27126684 28170018 29316768 29387241 30444336 32227428 32981364 34249878 34913047 36168912 37560024 39182988 40690026 42153696 42448237 42969904 43975152 45666504 48341142 49472046 50080032 51251616 52243984 54253368 56340036 58774482 60888672 61035039 64454856 65962728 68499756 69826094 72337824 72511713 74208069 75120048 78365976 81380052 84896474 85939808 87950304 88161723 91333008 96682284 98944092 104487968 104739141 108506736 112680072 117548964 122070078 127344711 128909712 131925456 136999512 139652188 145023426 148416138 150240096 156731952 162760104 169792948 176323446 182666016 183105117 193364568 197888184 209478282 217013472 217535139 222624207 225360144 235097928 244140156 254689422 257819424 263850912 264485169 273999024 279304376 290046852 296832276 313463904 314217423 325520208 339585896 352646892 366210234 382034133 386729136 395776368 418956564 435070278 445248414 450720288 453869611 470195856 488280312 509378844 528970338 547998048 558608752 580093704 593664552 628434846 651040416 652605417 679171792 705293784 732420468 764068266 773458272 791552736 793455507 837913128 870140556 890496828 907739222 940391712 942652269 976560624 1018757688 1057940676 1117217504 1146102399 1160187408 1187329104 1256869692 1305210834 1358343584 1361608833 1410587568 1464840936 1528136532 1586911014 1675826256 1740281112 1780993656 1815478444 1885304538 1953121248 1957816251 2037515376 2115881352 2292204798 2320374816 2374658208 2380366521 2513739384 2610421668 2723217666 2821175136 2827956807 2929681872 3056273064 3173822028 3351652512 3438307197 3480562224 3561987312 3630956888 3770609076 3915632502 4075030752 4084826499 4231762704 4584409596 4760733042 5027478768 5220843336 5446435332 5655913614 5859363744 5900304943 6112546128 6347644056 6876614394 6961124448 7123974624 7261913776 7541218152 7831265004 8169652998 8463525408 8483870421 9168819192 9521466084 10054957536 10314921591 10441686672 10892870664 11311827228 11800609886 12225092256 12254479497 12695288112 13753228788 14523827552 15082436304 15662530008 16339305996 16967740842 17700914829 18337638384 19042932168 20629843182 20883373344 21785741328 22623654456 23601219772 24508958994 25390576224 25451611263 27506457576 30164872608 30944764773 31325060016 32678611992 33935481684 35401829658 36675276768 36763438491 38085864336 41259686364 43571482656 45247308912 47202439544 49017917988 50903222526 53102744487 55012915152 61889529546 62650120032 65357223984 67870963368 70803659316 73526876982 76171728672 82519372728 90494617824 94404879088 98035835976 101806445052 106205488974 110025830304 110290315473 123779059092 130714447968 135741926736 141607318632 147053753964 159308233461 165038745456 188809758176 196071671952 203612890104 212410977948 220580630946 247558118184 271483853472 283214637264 294107507928 318616466922 330077490912 330870946419 392143343904 407225780208 424821955896 441161261892 477924700383 495116236368 566429274528 588215015856 637232933844 661741892838 814451560416 849643911792 882322523784 955849400766 990232472736 1176430031712 1274465867688 1323483785676 1433774101149 1699287823584 1764645047568 1911698801532 2548931735376 2646967571352 2867548202298 3529290095136 3823397603064 4301322303447 5097863470752 5293935142704 5735096404596 7646795206128 8602644606894 10587870285408 11470192809192 15293590412256 17205289213788 22940385618384 34410578427576 45880771236768 68821156855152 137642313710304
• Sum of all divisors σ(n): 443320466853600
• Sum of proper divisors (its aliquot sum) s(n): 305678153143296
• 137642313710304 is an abundant number, because the sum of its proper divisors (305678153143296) is greater than itself. Its abundance is 168035839432992

Bases of 137642313710304

• Binary: 11111010010111101011001001101101111101011100000₂
• Hexadecimal: 0x7D2F5936FAE0
• Base-36: 1CSG07RI00

Squares and roots of 137642313710304

• 137642313710304 squared (137642313710304²) is 18945406523525740490835772416
• 137642313710304 cubed (137642313710304³) is 2607689588080369871482818592082450698174464
• The square root of 137642313710304 is 11732106.1071874047
• The cube root of 137642313710304 is 51631.8066163177

Scales and comparisons

• 137,642,313,710,304 seconds is equal to 4,376,599 years, 42 weeks, 4 days, 14 hours, 38 minutes, 24 seconds.
• To count from 1 to 137,642,313,710,304 would take you about ten million, nine hundred forty-one thousand, four hundred ninety-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 137642313710304 cubic inches would be around 4302.7 feet tall.

Recreational maths with 137642313710304

• 137642313710304 backwards is 403017313246731
• The number of decimal digits it has is: 15
• The sum of 137642313710304's digits is 45
• More coming soon!