137379640320

Names of 137379640320

• Cardinal: 137379640320 can be written as One hundred thirty-seven billion, three hundred seventy-nine million, six hundred forty thousand, three hundred twenty.

Scientific notation

• Scientific notation: 1.3737964032 × 10¹¹

Factors of 137379640320

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 105

Divisors of 137379640320

• Number of divisors d(n): 1056
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 23 24 26 30 32 36 39 40 45 46 48 52 59 60 64 65 69 72 78 80 90 92 96 104 115 117 118 120 128 130 138 144 156 160 169 177 180 184 192 195 207 208 230 234 236 240 256 260 276 288 295 299 312 320 338 345 354 360 368 384 390 414 416 460 468 472 480 507 512 520 531 552 576 585 590 598 624 640 676 690 708 720 736 767 768 780 828 832 845 885 897 920 936 944 960 1014 1024 1035 1040 1062 1104 1152 1170 1180 1196 1248 1280 1352 1357 1380 1416 1440 1472 1495 1521 1534 1536 1560 1656 1664 1690 1770 1794 1840 1872 1888 1920 2028 2070 2080 2124 2197 2208 2301 2304 2340 2360 2392 2496 2535 2560 2655 2691 2704 2714 2760 2832 2880 2944 2990 3042 3068 3072 3120 3312 3328 3380 3540 3588 3680 3744 3776 3835 3840 3887 4056 4071 4140 4160 4248 4394 4416 4485 4602 4608 4680 4720 4784 4992 5070 5120 5310 5382 5408 5428 5520 5664 5760 5888 5980 6084 6136 6240 6591 6624 6656 6760 6785 6903 7080 7176 7360 7488 7552 7605 7670 7680 7774 8112 8142 8280 8320 8496 8788 8832 8970 9204 9216 9360 9440 9568 9971 9984 10140 10620 10764 10816 10856 10985 11040 11328 11505 11520 11661 11776 11960 12168 12213 12272 12480 13182 13248 13312 13455 13520 13570 13806 14160 14352 14720 14976 15104 15210 15340 15360 15548 16224 16284 16560 16640 16992 17576 17641 17664 17940 18408 18720 18880 19136 19435 19773 19942 19968 20280 20355 21240 21528 21632 21712 21970 22080 22656 23010 23040 23322 23552 23920 24336 24426 24544 24960 26364 26496 26910 27040 27140 27612 28320 28704 29440 29913 29952 30208 30420 30680 31096 32448 32568 32955 33120 33280 33984 34515 34983 35152 35282 35328 35880 36816 37440 37760 38272 38870 39546 39884 39936 40560 40710 42480 43056 43264 43424 43940 44160 45312 46020 46080 46644 47840 48672 48852 49088 49855 49920 50531 52728 52923 52992 53820 54080 54280 55224 56640 57408 58305 58880 59826 59904 60416 60840 61065 61360 62192 64896 65136 65910 66240 66560 67968 69030 69966 70304 70564 70656 71760 73632 74880 75520 76544 77740 79092 79768 81120 81420 84960 86112 86528 86848 87880 88205 88320 89739 90624 92040 93288 95680 97344 97704 98176 98865 99710 99840 101062 105456 105846 105984 107640 108160 108560 110448 113280 114816 116610 117760 119652 119808 121680 122130 122720 124384 129623 129792 130272 131820 132480 135936 138060 139932 140608 141128 143520 147264 149565 149760 151040 151593 153088 155480 158184 158769 159536 162240 162840 169920 172224 173056 173696 174915 175760 176410 176640 179478 181248 184080 186576 191360 194688 195408 196352 197730 199420 199680 202124 210912 211692 211968 215280 216320 217120 220896 226560 229333 229632 233220 239304 243360 244260 245440 248768 252655 259246 259584 260544 263640 264615 264960 271872 276120 279864 281216 282256 287040 294528 299130 299520 302080 303186 306176 310960 316368 317538 319072 324480 325680 339840 344448 347392 349830 351520 352820 353280 358956 368160 373152 382720 388869 389376 390816 392704 395460 398840 404248 421824 423384 430560 432640 434240 441792 448695 453120 454779 458666 459264 466440 478608 486720 488520 490880 497536 505310 518492 519168 521088 527280 529230 529920 543744 552240 559728 562432 564512 574080 589056 598260 599040 606372 621920 632736 635076 638144 648115 648960 651360 679680 687999 688896 694784 699660 703040 705640 717912 736320 746304 757965 765440 777738 778752 781632 785408 790920 793845 797680 808496 843648 846768 861120 865280 868480 883584 897390 906240 909558 917332 918528 932880 957216 973440 977040 981760 995072 1010620 1036984 1042176 1054560 1058460 1059840 1104480 1119456 1124864 1129024 1146665 1148160 1166607 1178112 1196520 1212744 1243840 1265472 1270152 1276288 1296230 1297920 1302720 1359360 1375998 1377792 1389568 1399320 1406080 1411280 1435824 1472640 1492608 1515930 1530880 1555476 1557504 1563264 1581840 1587690 1595360 1616992 1687296 1693536 1722240 1736960 1767168 1794780 1819116 1834664 1865760 1914432 1944345 1946880 1954080 1963520 1990144 2021240 2063997 2073968 2084352 2109120 2116920 2208960 2238912 2249728 2258048 2273895 2293330 2296320 2333214 2356224 2393040 2425488 2487680 2530944 2540304 2552576 2592460 2595840 2605440 2718720 2751996 2755584 2798640 2812160 2822560 2871648 2945280 2981329 2985216 3031860 3110952 3126528 3163680 3175380 3190720 3233984 3374592 3387072 3439995 3444480 3473920 3534336 3589560 3638232 3669328 3731520 3828864 3888690 3893760 3908160 3927040 3980288 4042480 4127994 4147936 4168704 4218240 4233840 4417920 4477824 4516096 4547790 4586660 4592640 4666428 4786080 4850976 4975360 5061888 5080608 5105152 5184920 5210880 5503992 5597280 5624320 5645120 5743296 5833035 5890560 5962658 5970432 6063720 6221904 6253056 6327360 6350760 6381440 6467968 6749184 6774144 6879990 6888960 6947840 7068672 7179120 7276464 7338656 7463040 7657728 7777380 7787520 7816320 8084960 8255988 8295872 8436480 8467680 8835840 8943987 8955648 9032192 9095580 9173320 9332856 9572160 9701952 9950720 10123776 10161216 10210304 10319985 10369840 10421760 11007984 11194560 11248640 11290240 11486592 11666070 11781120 11925316 11940864 12127440 12443808 12506112 12654720 12701520 12762880 12935936 13548288 13759980 13777920 14358240 14552928 14677312 14906645 14926080 15315456 15554760 15632640 16169920 16511976 16591744 16872960 16935360 17671680 17887974 17911296 18064384 18191160 18346640 18665712 19144320 19403904 19901440 20247552 20322432 20639970 20739680 20843520 22015968 22389120 22580480 22973184 23332140 23850632 24254880 24887616 25309440 25403040 25525760 25871872 26831961 27096576 27519960 28716480 29105856 29354624 29813290 29852160 30630912 31109520 31265280 32339840 33023952 33183488 33745920 33870720 35343360 35775948 35822592 36382320 36693280 37331424 38288640 38807808 40644864 41279940 41479360 44031936 44719935 44778240 45160960 45946368 46664280 47701264 48509760 49775232 50618880 50806080 51051520 51743744 53663922 54193152 55039920 57432960 58211712 58709248 59626580 59704320 62219040 62530560 64679680 66047904 66366976 67741440 71551896 72764640 73386560 74662848 76577280 77615616 81289728 82559880 82958720 88063872 89439870 89556480 90321920 91892736 93328560 95402528 97019520 99550464 101237760 101612160 107327844 110079840 114865920 116423424 117418496 119253160 124438080 129359360 132095808 132733952 134159805 135482880 143103792 145529280 146773120 149325696 153154560 155231232 162579456 165119760 165917440 176127744 178879740 179112960 186657120 190805056 194039040 199100928 203224320 214655688 220159680 229731840 232846848 234836992 238506320 248876160 258718720 264191616 268319610 270965760 286207584 291058560 293546240 298651392 330239520 331834880 352255488 357759480 373314240 381610112 388078080 398201856 406448640 429311376 440319360 459463680 465693696 477012640 497752320 528383232 536639220 572415168 582117120 587092480 597302784 660479040 663669760 704510976 715518960 746628480 763220224 776156160 812897280 858622752 880638720 954025280 995504640 1056766464 1073278440 1144830336 1164234240 1174184960 1194605568 1320958080 1431037920 1493256960 1526440448 1717245504 1761277440 1908050560 1991009280 2113532928 2146556880 2289660672 2328468480 2641916160 2862075840 2986513920 3052880896 3434491008 3522554880 3816101120 4293113760 4579321344 5283832320 5724151680 5973027840 6868982016 7632202240 8586227520 9158642688 10567664640 11448303360 13737964032 15264404480 17172455040 22896606720 27475928064 34344910080 45793213440 68689820160 137379640320
• Sum of all divisors σ(n): 547207315200
• Sum of proper divisors (its aliquot sum) s(n): 409827674880
• 137379640320 is an abundant number, because the sum of its proper divisors (409827674880) is greater than itself. Its abundance is 272448034560

Bases of 137379640320

• Binary: 1111111111100011101101111010000000000₂
• Hexadecimal: 0x1FFC76F400
• Base-36: 1R40AGW0

Squares and roots of 137379640320

• 137379640320 squared (137379640320²) is 18873165574452569702400
• 137379640320 cubed (137379640320³) is 2592788698318100206615441440768000
• The square root of 137379640320 is 370647.5958643197
• The cube root of 137379640320 is 5159.8941388053

Scales and comparisons

• 137,379,640,320 seconds is equal to 4,368 years, 12 weeks, 6 days, 3 hours, 12 minutes.
• To count from 1 to 137,379,640,320 would take you about eight thousand, seven hundred thirty-six 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 137379640320 cubic inches would be around 430 feet tall.

Recreational maths with 137379640320

• 137379640320 backwards is 023046973731
• 137379640320 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137379640320's digits is 45
• More coming soon!