34378224920832

Names of 34378224920832

• Cardinal: 34378224920832 can be written as Thirty-four trillion, three hundred seventy-eight billion, two hundred twenty-four million, nine hundred twenty thousand, eight hundred thirty-two.

Scientific notation

• Scientific notation: 3.4378224920832 × 10¹³

Factors of 34378224920832

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 186

Divisors of 34378224920832

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 6 8 12 13 16 24 26 32 39 41 48 52 64 78 82 96 104 123 127 128 156 164 192 208 246 254 256 312 328 381 384 416 492 508 533 624 656 762 768 832 984 1016 1066 1248 1312 1524 1599 1651 1664 1681 1968 2032 2132 2496 2624 3048 3198 3302 3328 3362 3936 4064 4264 4953 4992 5043 5207 5248 6096 6396 6604 6724 7872 8128 8528 9906 9984 10086 10414 10496 12192 12792 13208 13448 15621 15744 16129 16256 17056 19812 20172 20828 21853 24384 25584 26416 26896 31242 31488 32258 32512 34112 39624 40344 41656 43706 48387 48768 51168 52832 53792 62484 64516 65559 67691 68224 79248 80688 83312 87412 96774 97536 102336 105664 107584 124968 129032 131118 135382 136448 158496 161376 166624 174824 193548 203073 204672 209677 211328 213487 215168 249936 258064 262236 270764 316992 322752 333248 349648 387096 406146 409344 419354 422656 426974 430336 499872 516128 524472 541528 629031 633984 640461 645504 661289 666496 699296 774192 812292 838708 853948 999744 1032256 1048944 1083056 1258062 1267968 1280922 1291008 1322578 1332992 1398592 1548384 1624584 1677416 1707896 1983867 1999488 2048383 2064512 2097888 2166112 2516124 2561844 2645156 2775331 2797184 3096768 3249168 3354832 3415792 3967734 3998976 4096766 4129024 4195776 4332224 5032248 5123688 5290312 5550662 5594368 6145149 6193536 6498336 6709664 6831584 7935468 8193532 8325993 8391552 8596757 8664448 10064496 10247376 10580624 11101324 12290298 12387072 12996672 13419328 13663168 15870936 16387064 16651986 16783104 17193514 17328896 20128992 20494752 21161248 22202648 24580596 25790271 25993344 26628979 26838656 27112849 27326336 31741872 32774128 33303972 34387028 40257984 40989504 42322496 44405296 49161192 51580542 51986688 53257958 53677312 54225698 54652672 63483744 65548256 66607944 68774056 79886937 80515968 81338547 81979008 83983703 84644992 88810592 98322384 103161084 106515916 108451396 126967488 131096512 133215888 137548112 159773874 161031936 162677094 163958016 167967406 169289984 177621184 196644768 206322168 213031832 216902792 251951109 253934976 262193024 266431776 275096224 319547748 325354188 335934812 352467037 355242368 393289536 412644336 426063664 433805584 503902218 507869952 524386048 532863552 550192448 639095496 650708376 671869624 704934074 710484736 786579072 825288672 852127328 867611168 1007804436 1057401111 1065727104 1091788139 1100384896 1278190992 1301416752 1343739248 1409868148 1573158144 1650577344 1704254656 1735222336 2015608872 2114802222 2131454208 2183576278 2200769792 2556381984 2602833504 2687478496 2819736296 3275364417 3301154688 3408509312 3443331823 3470444672 4031217744 4229604444 4367152556 5112763968 5205667008 5374956992 5639472592 6550728834 6602309376 6817018624 6886663646 6940889344 8062435488 8459208888 8734305112 10225527936 10329995469 10411334016 10749913984 11278945184 13101457668 13773327292 16124870976 16918417776 17468610224 20451055872 20659990938 20822668032 21499827968 22557890368 26202915336 27546654584 32249741952 33836835552 34937220448 41319981876 44763313699 45115780736 52405830672 55093309168 64499483904 67673671104 69874440896 82639963752 89526627398 90231561472 104811661344 110186618336 134289941097 135347342208 139748881792 165279927504 179053254796 209623322688 220373236672 268579882194 270694684416 279497763584 330559855008 358106509592 419246645376 440746473344 537159764388 661119710016 716213019184 838493290752 881492946688 1074319528776 1322239420032 1432426038368 2148639057552 2644478840064 2864852076736 4297278115104 5729704153472 8594556230208 11459408306944 17189112460416 34378224920832
• Sum of all divisors σ(n): 101797834987520
• Sum of proper divisors (its aliquot sum) s(n): 67419610066688
• 34378224920832 is an abundant number, because the sum of its proper divisors (67419610066688) is greater than itself. Its abundance is 33041385145856

Bases of 34378224920832

• Binary: 111110100010001001101111000100110100100000000₂
• Hexadecimal: 0x1F444DE26900
• Base-36: C6P4ZHXXC

Squares and roots of 34378224920832

• 34378224920832 squared (34378224920832²) is 1181862348707314372667572224
• 34378224920832 cubed (34378224920832³) is 40630329649322834226838983865076042170368
• The square root of 34378224920832 is 5863294.7155018569
• The cube root of 34378224920832 is 32515.8029405681

Scales and comparisons

• 34,378,224,920,832 seconds is equal to 1,093,121 years, 11 weeks, 18 hours, 27 minutes, 12 seconds.
• To count from 1 to 34,378,224,920,832 would take you about two million, seven hundred thirty-two thousand, eight hundred three 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 34378224920832 cubic inches would be around 2709.7 feet tall.

Recreational maths with 34378224920832

• 34378224920832 backwards is 23802942287343
• The number of decimal digits it has is: 14
• The sum of 34378224920832's digits is 57
• More coming soon!