138333748224

Names of 138333748224

• Cardinal: 138333748224 can be written as One hundred thirty-eight billion, three hundred thirty-three million, seven hundred forty-eight thousand, two hundred twenty-four.

Scientific notation

• Scientific notation: 1.38333748224 × 10¹¹

Factors of 138333748224

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 176

Divisors of 138333748224

• Number of divisors d(n): 352
• Complete list of divisors:
  1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 64 74 84 96 111 112 127 128 148 168 192 222 224 254 256 259 296 336 381 384 444 448 508 512 518 592 672 762 768 777 888 889 896 1016 1024 1036 1184 1344 1369 1524 1536 1554 1776 1778 1792 2032 2072 2368 2667 2688 2738 3048 3072 3108 3552 3556 3584 4064 4107 4144 4699 4736 5334 5376 5476 6096 6216 7104 7112 7168 8128 8214 8288 9398 9472 9583 10668 10752 10952 12192 12432 14097 14208 14224 16256 16428 16576 18796 18944 19166 21336 21504 21904 24384 24864 28194 28416 28448 28749 32512 32856 32893 33152 37592 37888 38332 42672 43808 48768 49728 50653 56388 56832 56896 57498 65024 65712 65786 66304 75184 76664 85344 87616 97536 98679 99456 101306 112776 113664 113792 114996 130048 131424 131572 132608 150368 151959 153328 170688 173863 175232 195072 197358 198912 202612 225552 227584 229992 262848 263144 265216 300736 303918 306656 341376 347726 350464 354571 390144 394716 397824 405224 451104 455168 459984 521589 525696 526288 601472 607836 613312 682752 695452 700928 709142 789432 795648 810448 902208 910336 919968 1043178 1051392 1052576 1063713 1202944 1215672 1217041 1226624 1365504 1390904 1401856 1418284 1578864 1620896 1804416 1839936 2086356 2102784 2105152 2127426 2405888 2431344 2434082 2453248 2731008 2781808 2836568 3157728 3241792 3608832 3651123 3679872 4172712 4205568 4210304 4254852 4811776 4862688 4868164 4906496 5563616 5673136 6315456 6432931 6483584 7217664 7302246 7359744 8345424 8420608 8509704 9725376 9736328 9812992 11127232 11346272 12630912 12865862 12967168 14435328 14604492 14719488 16690848 16841216 17019408 19298793 19450752 19472656 22254464 22692544 25261824 25731724 25934336 29208984 29438976 33381696 33682432 34038816 38597586 38901504 38945312 44508928 45030517 45385088 50523648 51463448 51868672 58417968 66763392 68077632 77195172 77803008 77890624 89017856 90061034 90770176 101047296 102926896 116835936 133526784 135091551 136155264 154390344 155606016 155781248 178035712 180122068 181540352 205853792 233671872 267053568 270183102 272310528 308780688 311562496 360244136 363080704 411707584 467343744 534107136 540366204 544621056 617561376 623124992 720488272 823415168 934687488 1080732408 1089242112 1235122752 1246249984 1440976544 1646830336 1869374976 2161464816 2470245504 2881953088 3293660672 3738749952 4322929632 4940491008 5763906176 6587321344 8645859264 9880982016 11527812352 17291718528 19761964032 23055624704 34583437056 46111249408 69166874112 138333748224
• Sum of all divisors σ(n): 436497694720
• Sum of proper divisors (its aliquot sum) s(n): 298163946496
• 138333748224 is an abundant number, because the sum of its proper divisors (298163946496) is greater than itself. Its abundance is 159830198272

Bases of 138333748224

• Binary: 10000000110101010101010111110000000000₂
• Hexadecimal: 0x2035557C00
• Base-36: 1RJSCB9C

Squares and roots of 138333748224

• 138333748224 squared (138333748224²) is 19136225897701023154176
• 138333748224 cubed (138333748224³) is 2647185855290161717436977118183424
• The square root of 138333748224 is 371932.4511574649
• The cube root of 138333748224 is 5171.8118254423

Scales and comparisons

• 138,333,748,224 seconds is equal to 4,398 years, 30 weeks, 3 days, 1 hour, 10 minutes, 24 seconds.
• To count from 1 to 138,333,748,224 would take you about eight thousand, seven hundred ninety-seven 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 138333748224 cubic inches would be around 431 feet tall.

Recreational maths with 138333748224

• 138333748224 backwards is 422847333831
• 138333748224 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138333748224's digits is 48
• More coming soon!