137407057920

Names of 137407057920

• Cardinal: 137407057920 can be written as One hundred thirty-seven billion, four hundred seven million, fifty-seven thousand, nine hundred twenty.

Scientific notation

• Scientific notation: 1.3740705792 × 10¹¹

Factors of 137407057920

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 183

Divisors of 137407057920

• Number of divisors d(n): 936
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 61 64 66 72 80 88 90 96 99 101 110 120 121 122 128 132 144 160 165 176 180 183 192 198 202 220 240 242 244 256 264 288 303 305 320 330 352 360 363 366 384 396 404 440 480 484 488 495 505 512 528 549 576 605 606 610 640 660 671 704 720 726 732 768 792 808 880 909 915 960 968 976 990 1010 1024 1056 1089 1098 1111 1152 1210 1212 1220 1280 1320 1342 1408 1440 1452 1464 1515 1536 1584 1616 1760 1815 1818 1830 1920 1936 1952 1980 2013 2020 2048 2112 2178 2196 2222 2304 2420 2424 2440 2560 2640 2684 2745 2816 2880 2904 2928 3030 3072 3168 3232 3333 3355 3520 3630 3636 3660 3840 3872 3904 3960 4026 4040 4096 4224 4356 4392 4444 4545 4608 4840 4848 4880 5120 5280 5368 5445 5490 5555 5632 5760 5808 5856 6039 6060 6144 6161 6336 6464 6666 6710 7040 7260 7272 7320 7381 7680 7744 7808 7920 8052 8080 8448 8712 8784 8888 9090 9216 9680 9696 9760 9999 10065 10240 10560 10736 10890 10980 11110 11264 11520 11616 11712 12078 12120 12221 12288 12322 12672 12928 13332 13420 14080 14520 14544 14640 14762 15360 15488 15616 15840 16104 16160 16665 16896 17424 17568 17776 18180 18432 18483 19360 19392 19520 19998 20130 20480 21120 21472 21780 21960 22143 22220 22528 23040 23232 23424 24156 24240 24442 24644 25344 25856 26664 26840 28160 29040 29088 29280 29524 30195 30720 30805 30976 31232 31680 32208 32320 33330 33792 34848 35136 35552 36360 36663 36864 36905 36966 38720 38784 39040 39996 40260 42240 42944 43560 43920 44286 44440 45056 46080 46464 46848 48312 48480 48884 49288 49995 50688 51712 53328 53680 55449 56320 58080 58176 58560 59048 60390 61105 61440 61610 61952 62464 63360 64416 64640 66429 66660 67584 67771 69696 70272 71104 72720 73326 73810 73932 77440 77568 78080 79992 80520 84480 85888 87120 87840 88572 88880 92160 92415 92928 93696 96624 96960 97768 98576 99990 101376 103424 106656 107360 109989 110715 110898 112640 116160 116352 117120 118096 120780 122210 123220 123904 124928 126720 128832 129280 132858 133320 135168 135542 139392 140544 142208 145440 146652 147620 147864 154880 155136 156160 159984 161040 168960 171776 174240 175680 177144 177760 183315 184320 184830 185856 187392 193248 193920 195536 197152 199980 202752 203313 206848 213312 214720 219978 221430 221796 225280 232320 232704 234240 236192 241560 244420 246440 247808 249856 253440 257664 258560 265716 266640 271084 277245 278784 281088 284416 290880 293304 295240 295728 309760 310272 312320 319968 322080 332145 337920 338855 343552 348480 351360 354288 355520 366630 369660 371712 374784 386496 387840 391072 394304 399960 405504 406626 413696 426624 429440 439956 442860 443592 464640 465408 468480 472384 483120 488840 492880 495616 506880 515328 517120 531432 533280 542168 549945 554490 557568 562176 568832 581760 586608 590480 591456 609939 619520 620544 624640 639936 644160 664290 675840 677710 687104 696960 702720 708576 711040 733260 739320 743424 745481 749568 772992 775680 782144 788608 799920 813252 853248 858880 879912 885720 887184 929280 930816 936960 944768 966240 977680 985760 1013760 1016565 1030656 1034240 1062864 1066560 1084336 1099890 1108980 1115136 1124352 1137664 1163520 1173216 1180960 1182912 1219878 1239040 1241088 1249280 1279872 1288320 1328580 1355420 1374208 1393920 1405440 1417152 1422080 1466520 1478640 1486848 1490962 1545984 1551360 1564288 1577216 1599840 1626504 1706496 1717760 1759824 1771440 1774368 1858560 1861632 1873920 1889536 1932480 1955360 1971520 2027520 2033130 2061312 2068480 2125728 2133120 2168672 2199780 2217960 2230272 2236443 2248704 2275328 2327040 2346432 2361920 2365824 2439756 2478080 2559744 2576640 2657160 2710840 2748416 2787840 2810880 2834304 2844160 2933040 2957280 2981924 3049695 3091968 3102720 3128576 3154432 3199680 3253008 3412992 3435520 3519648 3542880 3548736 3717120 3723264 3727405 3747840 3779072 3864960 3910720 3943040 4066260 4122624 4251456 4266240 4337344 4399560 4435920 4460544 4472886 4550656 4654080 4692864 4723840 4731648 4879512 5119488 5153280 5314320 5421680 5575680 5621760 5668608 5688320 5866080 5914560 5963848 6099390 6183936 6205440 6257152 6308864 6399360 6506016 6709329 6825984 6871040 7039296 7085760 7097472 7434240 7454810 7558144 7729920 7821440 7886080 8132520 8245248 8502912 8532480 8674688 8799120 8871840 8945772 9308160 9385728 9447680 9463296 9759024 10238976 10306560 10628640 10843360 11151360 11182215 11243520 11337216 11376640 11732160 11829120 11927696 12198780 12367872 12514304 12617728 12798720 13012032 13418658 13651968 13742080 14078592 14171520 14194944 14909620 15116288 15459840 15642880 15772160 16265040 17005824 17064960 17349376 17598240 17743680 17891544 18616320 18771456 18895360 18926592 19518048 20477952 20613120 21257280 21686720 22302720 22364430 22674432 22753280 23464320 23658240 23855392 24397560 24735744 25028608 25235456 25597440 26024064 26837316 28157184 28343040 28389888 29819240 30232576 30919680 31285760 31544320 32530080 33546645 34011648 34129920 34698752 35196480 35487360 35783088 37542912 37790720 37853184 39036096 40955904 41226240 42514560 43373440 44728860 45348864 46928640 47316480 47710784 48795120 50057216 51194880 52048128 53674632 56314368 56686080 56779776 59638480 61839360 62571520 63088640 65060160 67093290 68023296 68259840 69397504 70392960 70974720 71566176 75085824 75581440 75706368 78072192 85029120 86746880 89457720 90697728 93857280 94632960 95421568 97590240 102389760 104096256 107349264 112628736 113372160 113559552 119276960 123678720 125143040 126177280 130120320 134186580 136046592 138795008 140785920 141949440 143132352 150171648 151162880 156144384 170058240 173493760 178915440 187714560 189265920 190843136 195180480 204779520 208192512 214698528 225257472 226744320 227119104 238553920 250286080 260240640 268373160 272093184 277590016 281571840 283898880 286264704 312288768 340116480 346987520 357830880 375429120 378531840 381686272 390360960 416385024 429397056 450514944 453488640 477107840 520481280 536746320 563143680 567797760 572529408 624577536 680232960 693975040 715661760 750858240 763372544 780721920 832770048 858794112 954215680 1040962560 1073492640 1126287360 1135595520 1145058816 1249155072 1360465920 1387950080 1431323520 1526745088 1561443840 1717588224 1908431360 2081925120 2146985280 2252574720 2290117632 2498310144 2862647040 3053490176 3122887680 3435176448 3816862720 4163850240 4293970560 4580235264 5725294080 6245775360 6870352896 7633725440 8587941120 9160470528 11450588160 12491550720 13740705792 15267450880 17175882240 22901176320 27481411584 34351764480 45802352640 68703528960 137407057920
• Sum of all divisors σ(n): 537371996616
• Sum of proper divisors (its aliquot sum) s(n): 399964938696
• 137407057920 is an abundant number, because the sum of its proper divisors (399964938696) is greater than itself. Its abundance is 262557880776

Bases of 137407057920

• Binary: 1111111111110000110010101000000000000₂
• Hexadecimal: 0x1FFE195000
• Base-36: 1R4GM4G0

Squares and roots of 137407057920

• 137407057920 squared (137407057920²) is 18880699566230234726400
• 137407057920 cubed (137407057920³) is 2594341378867116739105640153088000
• The square root of 137407057920 is 370684.5800947217
• The cube root of 137407057920 is 5160.2373786595

Scales and comparisons

• 137,407,057,920 seconds is equal to 4,369 years, 6 weeks, 1 day, 11 hours, 12 minutes.
• To count from 1 to 137,407,057,920 would take you about eight thousand, seven hundred thirty-eight 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 137407057920 cubic inches would be around 430 feet tall.

Recreational maths with 137407057920

• 137407057920 backwards is 029750704731
• 137407057920 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137407057920's digits is 45
• More coming soon!