138585904000

Names of 138585904000

• Cardinal: 138585904000 can be written as One hundred thirty-eight billion, five hundred eighty-five million, nine hundred four thousand.

Scientific notation

• Scientific notation: 1.38585904 × 10¹¹

Factors of 138585904000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 108

Divisors of 138585904000

• Number of divisors d(n): 512
• Complete list of divisors:
  1 2 4 5 8 10 16 17 20 25 32 34 40 41 43 50 64 68 80 82 85 86 100 125 128 136 160 164 170 172 200 205 215 250 272 289 320 328 340 344 400 410 425 430 500 544 578 640 656 680 688 697 731 800 820 850 860 1000 1025 1075 1088 1156 1312 1360 1376 1394 1445 1462 1600 1640 1700 1720 1763 2000 2050 2125 2150 2176 2312 2624 2720 2752 2788 2890 2924 3200 3280 3400 3440 3485 3526 3655 4000 4100 4250 4300 4624 4913 5125 5248 5375 5440 5504 5576 5780 5848 6560 6800 6880 6970 7052 7225 7310 8000 8200 8500 8600 8815 9248 9826 10250 10750 10880 11152 11560 11696 11849 12427 13120 13600 13760 13940 14104 14450 14620 16000 16400 17000 17200 17425 17630 18275 18496 19652 20500 21500 22304 23120 23392 23698 24565 24854 26240 27200 27520 27880 28208 28900 29240 29971 32800 34000 34400 34850 35260 36125 36550 36992 39304 41000 43000 44075 44608 46240 46784 47396 49130 49708 54400 55760 56416 57800 58480 59245 59942 62135 65600 68000 68800 69700 70520 72250 73100 78608 82000 86000 87125 88150 89216 91375 92480 93568 94792 98260 99416 111520 112832 115600 116960 118490 119884 122825 124270 131200 136000 137600 139400 141040 144500 146200 149855 157216 164000 172000 174250 176300 182750 184960 189584 196520 198832 201433 211259 220375 223040 225664 231200 233920 236980 239768 245650 248540 272000 278800 282080 289000 292400 296225 299710 310675 314432 328000 344000 348500 352600 365500 379168 393040 397664 402866 422518 440750 446080 462400 467840 473960 479536 491300 497080 509507 557600 564160 578000 584800 592450 599420 614125 621350 628864 656000 688000 697000 705200 731000 749275 758336 786080 795328 805732 845036 881500 924800 947920 959072 982600 994160 1007165 1019014 1056295 1115200 1128320 1156000 1169600 1184900 1198840 1228250 1242700 1394000 1410400 1462000 1481125 1498550 1516672 1553375 1572160 1590656 1611464 1690072 1763000 1895840 1918144 1965200 1988320 2014330 2038028 2112590 2230400 2312000 2339200 2369800 2397680 2456500 2485400 2547535 2788000 2820800 2924000 2962250 2997100 3106750 3144320 3222928 3380144 3526000 3746375 3791680 3836288 3930400 3976640 4028660 4076056 4225180 4624000 4739600 4795360 4913000 4970800 5035825 5095070 5281475 5576000 5641600 5848000 5924500 5994200 6213500 6445856 6760288 7052000 7492750 7583360 7860800 7953280 8057320 8152112 8450360 8661619 9479200 9590720 9826000 9941600 10071650 10190140 10562950 11152000 11696000 11849000 11988400 12427000 12737675 12891712 13520576 14104000 14985500 15721600 16114640 16304224 16900720 17323238 18958400 19181440 19652000 19883200 20143300 20380280 21125900 23698000 23976800 24854000 25179125 25475350 25783424 26407375 27041152 28208000 29971000 32229280 32608448 33801440 34646476 37916800 39304000 39766400 40286600 40760560 42251800 43308095 47396000 47953600 49708000 50358250 50950700 52814750 59942000 63688375 64458560 65216896 67602880 69292952 78608000 80573200 81521120 84503600 86616190 94792000 95907200 99416000 100716500 101901400 105629500 119884000 127376750 128917120 135205760 138585904 161146400 163042240 169007200 173232380 189584000 198832000 201433000 203802800 211259000 216540475 239768000 254753500 277171808 322292800 326084480 338014400 346464760 402866000 407605600 422518000 433080950 479536000 509507000 554343616 644585600 676028800 692929520 805732000 815211200 845036000 866161900 1019014000 1082702375 1108687232 1385859040 1611464000 1630422400 1690072000 1732323800 2038028000 2165404750 2771718080 3222928000 3380144000 3464647600 4076056000 4330809500 5543436160 6929295200 8152112000 8661619000 13858590400 17323238000 27717180800 34646476000 69292952000 138585904000
• Sum of all divisors σ(n): 383740156800
• Sum of proper divisors (its aliquot sum) s(n): 245154252800
• 138585904000 is an abundant number, because the sum of its proper divisors (245154252800) is greater than itself. Its abundance is 106568348800

Bases of 138585904000

• Binary: 10000001000100010111010001001110000000₂
• Hexadecimal: 0x20445D1380
• Base-36: 1RNYGVWG

Squares and roots of 138585904000

• 138585904000 squared (138585904000²) is 19206052787497216000000
• 138585904000 cubed (138585904000³) is 2661688187827021576843264000000000
• The square root of 138585904000 is 372271.2774308541
• The cube root of 138585904000 is 5174.9523236135

Scales and comparisons

• 138,585,904,000 seconds is equal to 4,406 years, 31 weeks, 2 days, 12 hours, 26 minutes, 40 seconds.
• To count from 1 to 138,585,904,000 would take you about eight thousand, eight hundred thirteen 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 138585904000 cubic inches would be around 431.2 feet tall.

Recreational maths with 138585904000

• 138585904000 backwards is 000409585831
• 138585904000 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138585904000's digits is 43
• More coming soon!