34359733872

Names of 34359733872

• Cardinal: 34359733872 can be written as Thirty-four billion, three hundred fifty-nine million, seven hundred thirty-three thousand, eight hundred seventy-two.

Scientific notation

• Scientific notation: 3.4359733872 × 10¹⁰

Factors of 34359733872

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 4169

Divisors of 34359733872

• Number of divisors d(n): 320
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 17 18 24 27 31 34 36 37 48 51 54 62 68 72 74 93 102 108 111 124 136 144 148 153 186 204 216 222 248 272 279 296 306 333 372 408 432 444 459 496 527 558 592 612 629 666 744 816 837 888 918 999 1054 1116 1147 1224 1258 1332 1488 1581 1674 1776 1836 1887 1998 2108 2232 2294 2448 2516 2664 3162 3348 3441 3672 3774 3996 4079 4216 4464 4588 4743 5032 5328 5661 6324 6696 6882 7344 7548 7992 8158 8432 9176 9486 10064 10323 11322 12237 12648 13392 13764 14229 15096 15984 16316 16983 18352 18972 19499 20646 22644 24474 25296 27528 28458 30192 30969 32632 33966 36711 37944 38998 41292 45288 48948 55056 56916 58497 61938 65264 67932 69343 73422 75888 77996 82584 90576 97896 110133 113832 116994 123876 126449 135864 138686 146844 150923 155992 165168 175491 195792 208029 220266 227664 233988 247752 252898 271728 277372 293688 301846 311984 350982 379347 416058 440532 452769 467976 495504 505796 526473 554744 587376 603692 624087 701964 758694 832116 881064 905538 935952 1011592 1052946 1109488 1138041 1207384 1248174 1358307 1403928 1517388 1664232 1762128 1811076 1872261 2023184 2105892 2149633 2276082 2414768 2496348 2565691 2716614 2807856 3034776 3328464 3414123 3622152 3744522 4074921 4211784 4299266 4552164 4678613 4992696 5131382 5433228 6069552 6448899 6828246 7244304 7489044 7697073 8149842 8423568 8598532 9104328 9357226 9985392 10262764 10866456 12897798 13656492 14035839 14978088 15394146 16299684 17197064 18208656 18714452 19346697 20525528 21732912 23091219 25795596 27312984 28071678 29956176 30788292 32599368 34394128 37428904 38693394 41051056 42107517 46182438 51591192 54625968 56143356 58040091 61576584 65198736 69273657 74857808 77386788 79536421 84215034 92364876 103182384 112286712 116080182 123153168 126322551 138547314 154773576 159072842 168430068 184729752 224573424 232160364 238609263 252645102 277094628 309547152 318145684 336860136 369459504 464320728 477218526 505290204 554189256 636291368 673720272 715827789 928641456 954437052 1010580408 1108378512 1272582736 1431655578 1908874104 2021160816 2147483367 2863311156 3817748208 4294966734 5726622312 8589933468 11453244624 17179866936 34359733872
• Sum of all divisors σ(n): 110735769600
• Sum of proper divisors (its aliquot sum) s(n): 76376035728
• 34359733872 is an abundant number, because the sum of its proper divisors (76376035728) is greater than itself. Its abundance is 42016301856

Bases of 34359733872

• Binary: 11111111111111111111110111001110000₂
• Hexadecimal: 0x7FFFFEE70
• Base-36: FS8WCC0

Squares and roots of 34359733872

• 34359733872 squared (34359733872²) is 1180591311754664112384
• 34359733872 cubed (34359733872³) is 40564803283485644256263339470848
• The square root of 34359733872 is 185363.7879198631
• The cube root of 34359733872 is 3250.9972126323

Scales and comparisons

• 34,359,733,872 seconds is equal to 1,092 years, 27 weeks, 5 days, 2 hours, 31 minutes, 12 seconds.
• To count from 1 to 34,359,733,872 would take you about two thousand, one hundred eighty-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 34359733872 cubic inches would be around 270.9 feet tall.

Recreational maths with 34359733872

• 34359733872 backwards is 27833795343
• 34359733872 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 34359733872's digits is 54
• More coming soon!