34139863120217344

Names of 34139863120217344

• Cardinal: 34139863120217344 can be written as Thirty-four quadrillion, one hundred thirty-nine trillion, eight hundred sixty-three billion, one hundred twenty million, two hundred seventeen thousand, three hundred forty-four.

Scientific notation

• Scientific notation: 3.4139863120217344 × 10¹⁶

Factors of 34139863120217344

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 40587

Divisors of 34139863120217344

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 4 7 8 14 16 28 32 41 56 64 82 112 128 164 224 256 287 328 448 574 656 896 1148 1312 1792 2296 2624 3547 3967 4592 5248 7094 7934 9184 10496 14188 15868 18368 24829 27769 28376 31736 33023 36736 49658 55538 56752 63472 66046 73472 99316 111076 113504 126944 132092 145427 162647 198632 222152 227008 231161 253888 264184 290854 325294 397264 444304 454016 462322 507776 528368 581708 650588 794528 888608 908032 924644 1015552 1017989 1056736 1138529 1163416 1301176 1353943 1589056 1777216 1849288 2035978 2113472 2277058 2326832 2602352 2707886 3178112 3554432 3698576 4071956 4226944 4554116 4653664 5204704 5415772 6356224 7108864 7397152 8143912 8453888 9108232 9307328 9477601 10409408 10831544 14070949 14794304 16287824 18216464 18614656 18955202 20818816 21663088 28141898 29588608 32575648 36432928 37229312 37910404 41637632 43326176 56283796 59177216 65151296 72865856 75820808 86652352 98496643 112567592 117132581 130302592 131002241 145731712 151641616 173304704 196993286 225135184 234265162 260605184 262004482 291463424 303283232 346609408 393986572 450270368 468530324 524008964 576908909 606566464 787973144 819928067 900540736 917015687 937060648 1048017928 1153817818 1213132928 1575946288 1639856134 1801081472 1834031374 1874121296 2096035856 2307635636 2426265856 3151892576 3279712268 3602162944 3668062748 3748242592 4038362363 4192071712 4615271272 4802435821 5371091881 6303785152 6559424536 7336125496 7496485184 8076724726 8384143424 9230542544 9604871642 10742183762 12607570304 13118849072 14672250992 14992970368 16153449452 16768286848 18461085088 19209743284 21484367524 25215140608 26237698144 29344501984 29985940736 32306898904 33536573696 33617050747 36922170176 37597643167 38419486568 42968735048 52475396288 58689003968 64613797808 67234101494 73844340352 75195286334 76838973136 85937470096 104950792576 117378007936 129227595616 134468202988 147688680704 150390572668 153677946272 171874940192 209901585152 234756015872 258455191232 268936405976 300781145336 307355892544 343749880384 464664948827 516910382464 537872811952 601562290672 614711785088 687499760768 929329897654 1033820764928 1075745623904 1203124581344 1229423570176 1374999521536 1858659795308 2151491247808 2406249162688 3252654641789 3717319590616 4302982495616 4812498325376 6505309283578 7434639181232 8605964991232 9624996650752 13010618567156 14869278362464 19051262901907 26021237134312 29738556724928 38102525803814 52042474268624 59477113449856 76205051607628 104084948537248 118954226899712 133358840313349 152410103215256 208169897074496 266717680626698 304820206430512 416339794148992 533435361253396 609640412861024 832679588297984 1066870722506792 1219280825722048 2133741445013584 2438561651444096 4267482890027168 4877123302888192 8534965780054336 17069931560108672 34139863120217344
• Sum of all divisors σ(n): 79826139696070656
• Sum of proper divisors (its aliquot sum) s(n): 45686276575853312
• 34139863120217344 is an abundant number, because the sum of its proper divisors (45686276575853312) is greater than itself. Its abundance is 11546413455635968

Bases of 34139863120217344

• Binary: 1111001010010100000011001001101111101100000010100000000₂
• Hexadecimal: 0x794A064DF60500
• Base-36: 9C5KKLOMSCG

Squares and roots of 34139863120217344

• 34139863120217344 squared (34139863120217344²) is 1165530253867176323219953798414336
• 34139863120217344 cubed (34139863120217344³) is 39791043329497571343130607901383421724050885443584
• The square root of 34139863120217344 is 184769757.0497329631
• The cube root of 34139863120217344 is 324404.7902589827

Scales and comparisons

• 34,139,863,120,217,344 seconds is equal to 1,085,542,045 years, 36 weeks, 3 hours, 29 minutes, 4 seconds.
• To count from 1 to 34,139,863,120,217,344 would take you about three billion, two hundred fifty-six million, six hundred twenty-six thousand, one 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 34139863120217344 cubic inches would be around 27033.7 feet tall.

Recreational maths with 34139863120217344

• 34139863120217344 backwards is 44371202136893143
• The number of decimal digits it has is: 17
• The sum of 34139863120217344's digits is 61
• More coming soon!