137985712000

Names of 137985712000

• Cardinal: 137985712000 can be written as One hundred thirty-seven billion, nine hundred eighty-five million, seven hundred twelve thousand.

Scientific notation

• Scientific notation: 1.37985712 × 10¹¹

Factors of 137985712000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 301

Divisors of 137985712000

• Number of divisors d(n): 512
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 29 31 32 40 50 53 58 62 64 80 100 106 116 124 125 128 145 155 160 181 200 212 232 248 250 265 290 310 320 362 400 424 464 496 500 530 580 620 640 724 725 775 800 848 899 905 928 992 1000 1060 1160 1240 1325 1448 1450 1537 1550 1600 1643 1696 1798 1810 1856 1984 2000 2120 2320 2480 2650 2896 2900 3074 3100 3200 3286 3392 3596 3620 3625 3712 3875 3968 4000 4240 4495 4525 4640 4960 5249 5300 5611 5792 5800 6148 6200 6572 6625 6784 7192 7240 7250 7685 7750 8000 8215 8480 8990 9050 9280 9593 9920 10498 10600 11222 11584 11600 12296 12400 13144 13250 14384 14480 14500 15370 15500 16000 16430 16960 17980 18100 18560 19186 19840 20996 21200 22444 22475 22625 23168 23200 24592 24800 26245 26288 26500 28055 28768 28960 29000 30740 31000 32860 33920 35960 36200 38372 38425 41075 41992 42400 44888 44950 45250 46400 47647 47965 49184 49600 52490 52576 53000 56110 57536 57920 58000 61480 62000 65720 71920 72400 76744 76850 82150 83984 84800 89776 89900 90500 92800 95294 95930 98368 99200 104980 105152 106000 112220 112375 115072 115840 116000 122960 124000 131225 131440 140275 143840 144800 153488 153700 162719 164300 167968 169600 179552 179800 181000 190588 191860 192125 196736 205375 209960 210304 212000 224440 224750 232000 238235 239825 245920 248000 262450 262880 278197 280550 287680 289600 297383 306976 307400 325438 328600 335936 359104 359600 362000 381176 383720 384250 410750 419920 424000 448880 449500 464000 476470 479650 491840 496000 524900 525760 556394 561100 575360 579200 594766 613952 614800 650876 656125 657200 671872 701375 718208 719200 724000 762352 767440 768500 813595 821500 839840 848000 897760 899000 952940 959300 983680 1049800 1051520 1112788 1122200 1189532 1191175 1199125 1227904 1229600 1301752 1312250 1314400 1390985 1402750 1438400 1448000 1486915 1524704 1534880 1537000 1627190 1643000 1679680 1795520 1798000 1905880 1918600 2099600 2225576 2244400 2379064 2382350 2398250 2459200 2603504 2624500 2628800 2781970 2805500 2876800 2896000 2973830 3049408 3069760 3074000 3254380 3286000 3359360 3591040 3596000 3811760 3837200 4067975 4199200 4451152 4488800 4758128 4764700 4796500 4918400 5207008 5249000 5257600 5563940 5611000 5947660 5955875 6098816 6139520 6148000 6508760 6572000 6954925 7192000 7434575 7623520 7674400 8135950 8398400 8624107 8902304 8977600 9516256 9529400 9593000 10414016 10498000 11127880 11222000 11895320 11911750 12296000 13017520 13144000 13909850 14384000 14869150 15247040 15348800 16271900 16796800 17248214 17804608 17955200 19032512 19058800 19186000 20339875 20828032 20996000 22255760 22444000 23790640 23823500 24592000 26035040 26288000 27819700 29738300 30494080 30697600 32543800 34496428 34774625 35609216 37172875 38065024 38117600 38372000 40679750 41992000 43120535 44511520 44888000 47581280 47647000 52070080 55639400 59476600 65087600 68992856 69549250 74345750 76235200 76744000 81359500 83984000 86241070 89023040 89776000 95162560 95294000 104140160 111278800 118953200 130175200 137985712 139098500 148691500 152470400 153488000 162719000 172482140 178046080 190325120 190588000 215602675 222557600 237906400 260350400 275971424 278197000 297383000 325438000 344964280 381176000 431205350 445115200 475812800 520700800 551942848 556394000 594766000 650876000 689928560 762352000 862410700 890230400 951625600 1078013375 1103885696 1112788000 1189532000 1301752000 1379857120 1724821400 2156026750 2225576000 2379064000 2603504000 2759714240 3449642800 4312053500 4451152000 4758128000 5519428480 6899285600 8624107000 13798571200 17248214000 27597142400 34496428000 68992856000 137985712000
• Sum of all divisors σ(n): 375319526400
• Sum of proper divisors (its aliquot sum) s(n): 237333814400
• 137985712000 is an abundant number, because the sum of its proper divisors (237333814400) is greater than itself. Its abundance is 99348102400

Bases of 137985712000

• Binary: 10000000100000100101101101111110000000₂
• Hexadecimal: 0x202096DF80
• Base-36: 1RE14OSG

Squares and roots of 137985712000

• 137985712000 squared (137985712000²) is 19040056716146944000000
• 137985712000 cubed (137985712000³) is 2627255782497917964464128000000000
• The square root of 137985712000 is 371464.2809207907
• The cube root of 137985712000 is 5167.4708998977

Scales and comparisons

• 137,985,712,000 seconds is equal to 4,387 years, 26 weeks, 6 days, 20 hours, 26 minutes, 40 seconds.
• To count from 1 to 137,985,712,000 would take you about eight thousand, seven hundred seventy-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 137985712000 cubic inches would be around 430.6 feet tall.

Recreational maths with 137985712000

• 137985712000 backwards is 000217589731
• The number of decimal digits it has is: 12
• The sum of 137985712000's digits is 43
• More coming soon!