138829118400

Names of 138829118400

• Cardinal: 138829118400 can be written as One hundred thirty-eight billion, eight hundred twenty-nine million, one hundred eighteen thousand, four hundred.

Scientific notation

• Scientific notation: 1.388291184 × 10¹¹

Factors of 138829118400

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 459108

Divisors of 138829118400

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 50 54 56 60 63 64 70 72 75 80 84 90 96 100 105 108 112 120 126 135 140 144 150 160 168 175 180 189 192 200 210 216 224 225 240 252 270 280 288 300 315 320 336 350 360 378 400 420 432 448 450 480 504 525 540 560 576 600 630 672 675 700 720 756 800 840 864 900 945 960 1008 1050 1080 1120 1200 1260 1344 1350 1400 1440 1512 1575 1600 1680 1728 1800 1890 2016 2100 2160 2240 2400 2520 2700 2800 2880 3024 3150 3360 3600 3780 4032 4200 4320 4725 4800 5040 5400 5600 6048 6300 6720 7200 7560 8400 8640 9450 10080 10800 11200 12096 12600 14400 15120 16800 18900 20160 21600 25200 30240 33600 37800 43200 50400 60480 75600 100800 151200 302400 459091 918182 1377273 1836364 2295455 2754546 3213637 3672728 4131819 4590910 5509092 6427274 6886365 7345456 8263638 9181820 9640911 11018184 11477275 12395457 12854548 13772730 14690912 16068185 16527276 18363640 19281822 20659095 22036368 22954550 24790914 25709096 27545460 28922733 29381824 32136370 33054552 34431825 36727280 38563644 41318190 44072736 45909100 48204555 49581828 51418192 55090920 57845466 61977285 64272740 66109104 68863650 73454560 77127288 80340925 82636380 86768199 88145472 91818200 96409110 99163656 102836384 103295475 110181840 115690932 123954570 128545480 132218208 137727300 144613665 146909120 154254576 160681850 165272760 173536398 183636400 192818220 198327312 205672768 206590950 220363680 231381864 241022775 247909140 257090960 264436416 275454600 289227330 308509152 309886425 321363700 330545520 347072796 367272800 385636440 396654624 413181900 433840995 440727360 462763728 482045550 495818280 514181920 550909200 578454660 617018304 619772850 642727400 661091040 694145592 723068325 734545600 771272880 793309248 826363800 867681990 925527456 964091100 991636560 1028363840 1101818400 1156909320 1239545700 1285454800 1322182080 1388291184 1446136650 1542545760 1652727600 1735363980 1851054912 1928182200 1983273120 2169204975 2203636800 2313818640 2479091400 2570909600 2776582368 2892273300 3085091520 3305455200 3470727960 3856364400 3966546240 4338409950 4627637280 4958182800 5141819200 5553164736 5784546600 6610910400 6941455920 7712728800 8676819900 9255274560 9916365600 11569093200 13882911840 15425457600 17353639800 19832731200 23138186400 27765823680 34707279600 46276372800 69414559200 138829118400
• Sum of all divisors σ(n): 578382465280
• Sum of proper divisors (its aliquot sum) s(n): 439553346880
• 138829118400 is an abundant number, because the sum of its proper divisors (439553346880) is greater than itself. Its abundance is 300724228480

Bases of 138829118400

• Binary: 10000001010010110111000011101111000000₂
• Hexadecimal: 0x2052DC3BC0
• Base-36: 1RRZ9TC0

Squares and roots of 138829118400

• 138829118400 squared (138829118400²) is 19273524115721218560000
• 138829118400 cubed (138829118400³) is 2675726361446716352858517504000000
• The square root of 138829118400 is 372597.7970949371
• The cube root of 138829118400 is 5177.9778534411

Scales and comparisons

• 138,829,118,400 seconds is equal to 4,414 years, 17 weeks, 3 days, 12 hours.
• To count from 1 to 138,829,118,400 would take you about eight thousand, eight hundred twenty-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 138829118400 cubic inches would be around 431.5 feet tall.

Recreational maths with 138829118400

• 138829118400 backwards is 004811928831
• 138829118400 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138829118400's digits is 45
• More coming soon!