137393781312

Names of 137393781312

• Cardinal: 137393781312 can be written as One hundred thirty-seven billion, three hundred ninety-three million, seven hundred eighty-one thousand, three hundred twelve.

Scientific notation

• Scientific notation: 1.37393781312 × 10¹¹

Factors of 137393781312

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 41

Divisors of 137393781312

• Number of divisors d(n): 252
• Complete list of divisors:
  1 2 3 4 6 8 12 16 17 19 24 32 34 38 48 51 57 64 68 76 96 102 114 136 152 192 204 228 272 289 304 323 361 408 456 544 578 608 646 722 816 867 912 969 1083 1088 1156 1216 1292 1444 1632 1734 1824 1938 2166 2312 2584 2888 3264 3468 3648 3876 4332 4624 5168 5491 5776 6137 6859 6936 7752 8664 9248 10336 10982 11552 12274 13718 13872 15504 16473 17328 18411 18496 20577 20672 21964 23104 24548 27436 27744 31008 32946 34656 36822 41154 43928 49096 54872 55488 62016 65892 69312 73644 82308 87856 98192 104329 109744 116603 130321 131784 147288 164616 175712 196384 208658 219488 233206 260642 263568 294576 312987 329232 349809 351424 390963 392768 417316 438976 466412 521284 527136 589152 625974 658464 699618 781926 834632 932824 1042568 1054272 1178304 1251948 1316928 1399236 1563852 1669264 1865648 1982251 2085136 2215457 2476099 2503896 2798472 3127704 3338528 3731296 3964502 4170272 4430914 4952198 5007792 5596944 5946753 6255408 6646371 6677056 7428297 7462592 7929004 8340544 8861828 9904396 10015584 11193888 11893506 12510816 13292742 14856594 15858008 17723656 19808792 20031168 22387776 23787012 25021632 26585484 29713188 31716016 35447312 37662769 39617584 42093683 47574024 53170968 59426376 63432032 70894624 75325538 79235168 84187366 95148048 106341936 112988307 118852752 126281049 126864064 141789248 150651076 158470336 168374732 190296096 212683872 225976614 237705504 252562098 301302152 336749464 380592192 425367744 451953228 475411008 505124196 602604304 673498928 715592611 903906456 1010248392 1205208608 1346997856 1431185222 1807812912 2020496784 2146777833 2410417216 2693995712 2862370444 3615625824 4040993568 4293555666 5724740888 7231251648 8081987136 8587111332 11449481776 17174222664 22898963552 34348445328 45797927104 68696890656 137393781312
• Sum of all divisors σ(n): 407615958960
• Sum of proper divisors (its aliquot sum) s(n): 270222177648
• 137393781312 is an abundant number, because the sum of its proper divisors (270222177648) is greater than itself. Its abundance is 132828396336

Bases of 137393781312

• Binary: 1111111111101010011101011101001000000₂
• Hexadecimal: 0x1FFD4EBA40
• Base-36: 1R48PK5C

Squares and roots of 137393781312

• 137393781312 squared (137393781312²) is 18877051143209680441344
• 137393781312 cubed (137393781312³) is 2593589436585590428319421179363328
• The square root of 137393781312 is 370666.6714340527
• The cube root of 137393781312 is 5160.0711750293

Scales and comparisons

• 137,393,781,312 seconds is equal to 4,368 years, 36 weeks, 1 day, 19 hours, 15 minutes, 12 seconds.
• To count from 1 to 137,393,781,312 would take you about eight thousand, seven hundred thirty-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 137393781312 cubic inches would be around 430 feet tall.

Recreational maths with 137393781312

• 137393781312 backwards is 213187393731
• 137393781312 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137393781312's digits is 48
• More coming soon!