137839104000

Names of 137839104000

• Cardinal: 137839104000 can be written as One hundred thirty-seven billion, eight hundred thirty-nine million, one hundred four thousand.

Scientific notation

• Scientific notation: 1.37839104 × 10¹¹

Factors of 137839104000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 82

Divisors of 137839104000

• Number of divisors d(n): 1248
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 32 36 39 40 45 48 50 52 54 59 60 64 65 72 75 78 80 90 96 100 104 108 117 118 120 125 128 130 135 144 150 156 160 169 177 180 192 195 200 208 216 225 234 236 240 250 256 260 270 288 295 300 312 320 325 338 351 354 360 375 384 390 400 416 432 450 468 472 480 500 507 512 520 531 540 576 585 590 600 624 640 650 675 676 702 708 720 750 767 768 780 800 832 845 864 885 900 936 944 960 975 1000 1014 1024 1040 1062 1080 1125 1152 1170 1180 1200 1248 1280 1300 1350 1352 1404 1416 1440 1475 1500 1521 1534 1536 1560 1593 1600 1625 1664 1690 1728 1755 1770 1800 1872 1888 1920 1950 2000 2028 2048 2080 2124 2160 2250 2301 2304 2340 2360 2400 2496 2535 2560 2600 2655 2700 2704 2808 2832 2880 2925 2950 3000 3042 3068 3072 3120 3186 3200 3250 3328 3375 3380 3456 3510 3540 3600 3744 3776 3835 3840 3900 4000 4056 4096 4160 4225 4248 4320 4425 4500 4563 4602 4608 4680 4720 4800 4875 4992 5070 5120 5200 5310 5400 5408 5616 5664 5760 5850 5900 6000 6084 6136 6144 6240 6372 6400 6500 6656 6750 6760 6903 6912 7020 7080 7200 7375 7488 7552 7605 7670 7680 7800 7965 8000 8112 8320 8450 8496 8640 8775 8850 9000 9126 9204 9216 9360 9440 9600 9750 9971 9984 10140 10240 10400 10620 10800 10816 11232 11328 11505 11520 11700 11800 12000 12168 12272 12288 12480 12675 12744 12800 13000 13275 13312 13500 13520 13806 13824 14040 14160 14400 14625 14750 14976 15104 15210 15340 15360 15600 15930 16000 16224 16640 16900 16992 17280 17550 17700 18000 18252 18408 18432 18720 18880 19175 19200 19500 19942 19968 20280 20480 20709 20800 21125 21240 21600 21632 22125 22464 22656 22815 23010 23040 23400 23600 24000 24336 24544 24960 25350 25488 25600 26000 26550 26624 27000 27040 27612 27648 28080 28320 28800 29250 29500 29913 29952 30208 30420 30680 30720 31200 31860 32000 32448 33280 33800 33984 34515 34560 35100 35400 36000 36504 36816 36864 37440 37760 38025 38350 38400 39000 39825 39884 39936 40560 41418 41600 42250 42480 43200 43264 43875 44250 44928 45312 45630 46020 46080 46800 47200 48000 48672 49088 49855 49920 50700 50976 51200 52000 53100 53248 54000 54080 55224 55296 56160 56640 57525 57600 58500 59000 59826 59904 60416 60840 61360 61440 62400 63375 63720 64000 64896 66375 66560 67600 67968 69030 69120 70200 70800 72000 73008 73632 74880 75520 76050 76700 76800 78000 79650 79768 79872 81120 82836 83200 84500 84960 86400 86528 87750 88500 89739 89856 90624 91260 92040 92160 93600 94400 95875 96000 97344 98176 99710 99840 101400 101952 102400 103545 104000 106200 108000 108160 110448 110592 112320 113280 114075 115050 115200 117000 118000 119652 119808 120832 121680 122720 124800 126750 127440 128000 129792 132750 133120 135200 135936 138060 138240 140400 141600 144000 146016 147264 149565 149760 151040 152100 153400 153600 156000 159300 159536 159744 162240 165672 166400 169000 169920 172575 172800 173056 175500 177000 179478 179712 181248 182520 184080 184320 187200 188800 190125 191750 192000 194688 196352 199125 199420 199680 202800 203904 207090 208000 212400 216000 216320 220896 224640 226560 228150 230100 230400 234000 236000 239304 239616 241664 243360 245440 249275 249600 253500 254880 256000 259584 265500 266240 269217 270400 271872 276120 276480 280800 283200 287625 288000 292032 294528 299130 299520 302080 304200 306800 307200 312000 318600 319072 324480 331344 332800 338000 339840 345150 345600 346112 351000 354000 358956 359424 362496 365040 368160 374400 377600 380250 383500 384000 389376 392704 398250 398840 399360 405600 407808 414180 416000 424800 432000 432640 441792 448695 449280 453120 456300 460200 460800 468000 472000 478608 479232 486720 490880 498550 499200 507000 509760 512000 517725 519168 531000 538434 540800 543744 552240 552960 561600 566400 570375 575250 576000 584064 589056 598260 599040 604160 608400 613600 624000 637200 638144 648960 662688 665600 676000 679680 690300 691200 692224 702000 708000 717912 718848 724992 730080 736320 747825 748800 755200 760500 767000 768000 778752 785408 796500 797680 798720 811200 815616 828360 832000 849600 862875 864000 865280 883584 897390 898560 906240 912600 920400 921600 936000 944000 957216 973440 981760 997100 998400 1014000 1019520 1035450 1038336 1062000 1076868 1081600 1087488 1104480 1123200 1132800 1140750 1150500 1152000 1168128 1178112 1196520 1198080 1208320 1216800 1227200 1246375 1248000 1274400 1276288 1297920 1325376 1331200 1346085 1352000 1359360 1380600 1382400 1404000 1416000 1435824 1437696 1460160 1472640 1495650 1497600 1510400 1521000 1534000 1536000 1557504 1570816 1593000 1595360 1622400 1631232 1656720 1664000 1699200 1725750 1728000 1730560 1767168 1794780 1797120 1812480 1825200 1840800 1872000 1888000 1914432 1946880 1963520 1994200 1996800 2028000 2039040 2070900 2076672 2124000 2153736 2163200 2174976 2208960 2243475 2246400 2265600 2281500 2301000 2304000 2336256 2356224 2393040 2396160 2433600 2454400 2492750 2496000 2548800 2552576 2588625 2595840 2650752 2692170 2704000 2718720 2761200 2764800 2808000 2832000 2871648 2920320 2945280 2991300 2995200 3020800 3042000 3068000 3115008 3141632 3186000 3190720 3244800 3262464 3313440 3328000 3398400 3451500 3456000 3461120 3534336 3589560 3594240 3624960 3650400 3681600 3739125 3744000 3776000 3828864 3893760 3927040 3988400 3993600 4056000 4078080 4141800 4248000 4307472 4326400 4417920 4486950 4492800 4531200 4563000 4602000 4608000 4672512 4712448 4786080 4867200 4908800 4985500 4992000 5097600 5105152 5177250 5191680 5301504 5384340 5408000 5437440 5522400 5616000 5664000 5743296 5840640 5890560 5982600 5990400 6041600 6084000 6136000 6230016 6372000 6381440 6489600 6524928 6626880 6656000 6730425 6796800 6903000 6912000 7068672 7179120 7188480 7300800 7363200 7478250 7488000 7552000 7657728 7787520 7854080 7976800 8112000 8156160 8283600 8496000 8614944 8652800 8835840 8973900 8985600 9062400 9126000 9204000 9345024 9424896 9572160 9734400 9817600 9971000 9984000 10195200 10210304 10354500 10383360 10603008 10768680 10816000 10874880 11044800 11217375 11232000 11328000 11486592 11681280 11781120 11965200 11980800 12168000 12272000 12744000 12762880 12979200 13253760 13460850 13593600 13806000 13824000 14137344 14358240 14601600 14726400 14956500 14976000 15104000 15315456 15575040 15708160 15953600 16224000 16312320 16567200 16992000 17229888 17305600 17671680 17947800 17971200 18124800 18252000 18408000 18690048 19144320 19468800 19635200 19942000 19968000 20390400 20420608 20709000 21206016 21537360 21632000 22089600 22434750 22464000 22656000 22973184 23362560 23562240 23930400 24336000 24544000 25488000 25525760 25958400 26507520 26921700 27187200 27612000 28274688 28716480 29203200 29452800 29913000 29952000 30208000 30630912 31150080 31907200 32448000 32624640 33134400 33652125 33984000 34459776 35343360 35895600 35942400 36504000 36816000 38288640 38937600 39270400 39884000 40780800 40841216 41418000 42412032 43074720 43264000 44179200 44869500 44928000 45312000 45946368 46725120 47124480 47860800 48672000 49088000 50976000 51051520 51916800 53015040 53843400 54374400 55224000 57432960 58406400 58905600 59826000 59904000 61261824 63814400 64896000 66268800 67304250 67968000 68919552 70686720 71791200 73008000 73632000 76577280 77875200 78540800 79768000 81561600 82836000 84824064 86149440 86528000 88358400 89739000 89856000 90624000 91892736 93450240 95721600 97344000 98176000 101952000 102103040 106030080 107686800 110448000 114865920 116812800 117811200 119652000 122523648 127628800 129792000 132537600 134608500 135936000 137839104 141373440 143582400 146016000 147264000 153154560 155750400 159536000 163123200 165672000 172298880 176716800 179478000 179712000 183785472 191443200 194688000 196352000 203904000 204206080 212060160 215373600 220896000 229731840 233625600 235622400 239304000 255257600 259584000 265075200 269217000 271872000 275678208 287164800 292032000 294528000 306309120 319072000 331344000 344597760 353433600 358956000 367570944 382886400 389376000 392704000 407808000 424120320 430747200 441792000 459463680 467251200 478608000 510515200 530150400 538434000 551356416 574329600 584064000 589056000 612618240 638144000 662688000 689195520 706867200 717912000 765772800 778752000 815616000 861494400 883584000 918927360 957216000 1021030400 1060300800 1076868000 1102712832 1148659200 1168128000 1178112000 1276288000 1325376000 1378391040 1435824000 1531545600 1722988800 1767168000 1837854720 1914432000 2120601600 2153736000 2297318400 2336256000 2552576000 2650752000 2756782080 2871648000 3063091200 3445977600 3534336000 3828864000 4307472000 4594636800 5105152000 5301504000 5513564160 5743296000 6891955200 7657728000 8614944000 9189273600 10603008000 11486592000 13783910400 15315456000 17229888000 22973184000 27567820800 34459776000 45946368000 68919552000 137839104000
• Sum of all divisors σ(n): 561208003200
• Sum of proper divisors (its aliquot sum) s(n): 423368899200
• 137839104000 is an abundant number, because the sum of its proper divisors (423368899200) is greater than itself. Its abundance is 285529795200

Bases of 137839104000

• Binary: 10000000010111110110011101000000000000₂
• Hexadecimal: 0x2017D9D000
• Base-36: 1RBLUDC0

Squares and roots of 137839104000

• 137839104000 squared (137839104000²) is 18999618591522816000000
• 137839104000 cubed (137839104000³) is 2618890402997246952996864000000000
• The square root of 137839104000 is 371266.8905248623
• The cube root of 137839104000 is 5165.6401281173

Scales and comparisons

• 137,839,104,000 seconds is equal to 4,382 years, 44 weeks, 4 days.
• To count from 1 to 137,839,104,000 would take you about eight thousand, seven hundred sixty-five 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 137839104000 cubic inches would be around 430.5 feet tall.

Recreational maths with 137839104000

• 137839104000 backwards is 000401938731
• 137839104000 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137839104000's digits is 36
• More coming soon!