34004811238944

Names of 34004811238944

• Cardinal: 34004811238944 can be written as Thirty-four trillion, four billion, eight hundred eleven million, two hundred thirty-eight thousand, nine hundred forty-four.

Scientific notation

• Scientific notation: 3.4004811238944 × 10¹³

Factors of 34004811238944

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 178812

Divisors of 34004811238944

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 113 156 168 182 193 208 224 226 273 312 336 339 364 386 416 452 546 579 624 672 678 728 772 791 904 1092 1158 1248 1351 1356 1456 1469 1544 1582 1808 2184 2316 2373 2509 2702 2712 2912 2938 3088 3164 3616 4053 4368 4407 4632 4746 5018 5404 5424 5876 6176 6328 7527 8106 8736 8814 9264 9492 10036 10283 10808 10848 11752 12656 15054 16212 17563 17628 18528 18984 20072 20566 21616 21809 23504 25312 30108 30849 32424 35126 35256 37968 40144 41132 43232 43618 47008 52689 60216 61698 64848 65427 70252 70512 75936 80288 82264 87236 105378 120432 123396 129696 130854 140504 141024 152663 164528 174472 178481 210756 240864 246792 261708 281008 283517 305326 329056 348944 356962 421512 457989 493584 523416 535443 562016 567034 610652 697888 713924 843024 850551 915978 987168 1046832 1070886 1134068 1221304 1249367 1427848 1686048 1701102 1831956 1984619 2093664 2141772 2268136 2320253 2442608 2498734 2855696 3402204 3663912 3748101 3969238 4283544 4536272 4640506 4885216 4997468 5711392 5953857 6804408 6960759 7327824 7496202 7938476 8567088 9072544 9281012 9994936 11907714 13608816 13921518 14655648 14992404 15876952 16241771 17134176 18562024 19989872 20168353 23815428 27217632 27843036 29984808 31753904 32483542 34446833 37124048 39979744 40336706 47630856 48725313 55686072 59969616 60505059 63507808 64967084 68893666 74248096 80673412 95261712 97450626 103340499 111372144 119939232 121010118 129934168 137787332 141178471 161346824 190523424 194901252 206680998 222744288 241127831 242020236 259868336 262188589 275574664 282356942 322693648 389802504 413361996 423535413 447808829 482255662 484040472 519736672 524377178 551149328 564713884 645387296 723383493 779605008 786565767 826723992 847070826 895617658 964511324 968080944 1048754356 1102298656 1129427768 1343426487 1446766986 1559210016 1573131534 1653447984 1694141652 1791235316 1835320123 1929022648 1936161888 2097508712 2258855536 2686852974 2893533972 3134661803 3146263068 3306895968 3388283304 3582470632 3670640246 3858045296 3892492129 4195017424 4517711072 5373705948 5505960369 5787067944 6269323606 6292526136 6776566608 7164941264 7341280492 7716090592 7784984258 8390034848 9403985409 10747411896 11011920738 11574135888 11677476387 12538647212 12585052272 13553133216 14329882528 14682560984 15569968516 18807970818 21494823792 22023841476 23148271776 23354952774 25077294424 25170104544 27247444903 29365121968 31139937032 37615941636 42989647584 44047682952 46709905548 50154588848 50602397677 54494889806 58730243936 62279874064 75231883272 81742334709 88095365904 93419811096 100309177696 101204795354 108989779612 124559748128 150463766544 151807193031 163484669418 176190731808 186839622192 202409590708 217979559224 300927533088 303614386062 326969338836 354216783739 373679244384 404819181416 435959118448 607228772124 653938677672 708433567478 809638362832 871918236896 1062650351217 1214457544248 1307877355344 1416867134956 1619276725664 2125300702434 2428915088496 2615754710688 2833734269912 4250601404868 4857830176992 5667468539824 8501202809736 11334937079648 17002405619472 34004811238944
• Sum of all divisors σ(n): 111408818508288
• Sum of proper divisors (its aliquot sum) s(n): 77404007269344
• 34004811238944 is an abundant number, because the sum of its proper divisors (77404007269344) is greater than itself. Its abundance is 43399196030400

Bases of 34004811238944

• Binary: 111101110110101011100101100011100111000100000₂
• Hexadecimal: 0x1EED5CB1CE20
• Base-36: C1XLEMSYO

Squares and roots of 34004811238944

• 34004811238944 squared (34004811238944²) is 1156327187396212176262235136
• 34004811238944 cubed (34004811238944³) is 39320687737867220634896514482042808336384
• The square root of 34004811238944 is 5831364.4405871255
• The cube root of 34004811238944 is 32397.6460334923

Scales and comparisons

• 34,004,811,238,944 seconds is equal to 1,081,247 years, 42 weeks, 2 days, 3 hours, 42 minutes, 24 seconds.
• To count from 1 to 34,004,811,238,944 would take you about two million, seven hundred three thousand, one hundred nineteen 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 34004811238944 cubic inches would be around 2699.8 feet tall.

Recreational maths with 34004811238944

• 34004811238944 backwards is 44983211840043
• The number of decimal digits it has is: 14
• The sum of 34004811238944's digits is 51
• More coming soon!