345997882484800

Names of 345997882484800

• Cardinal: 345997882484800 can be written as Three hundred forty-five trillion, nine hundred ninety-seven billion, eight hundred eighty-two million, four hundred eighty-four thousand, eight hundred.

Scientific notation

• Scientific notation: 3.459978824848 × 10¹⁴

Factors of 345997882484800

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 124537

Divisors of 345997882484800

• Number of divisors d(n): 504
• Complete list of divisors:
  1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 49 50 52 56 64 65 70 80 91 98 100 104 112 130 140 160 175 182 196 200 208 224 245 260 280 320 325 350 364 392 400 416 448 455 490 520 560 637 650 700 728 784 800 832 910 980 1040 1120 1225 1274 1300 1400 1456 1568 1600 1820 1960 2080 2240 2275 2450 2548 2600 2789 2800 2912 3136 3185 3640 3920 4160 4550 4900 5096 5200 5578 5600 5824 6370 7280 7840 9100 9800 10192 10400 11156 11200 12740 13945 14560 15680 15925 18200 19523 19600 20384 20800 22312 25480 27890 29120 31850 36257 36400 39046 39200 40768 44624 50960 55780 63700 69725 72514 72800 78092 78400 89248 97615 101920 111560 121721 127400 136661 139450 145028 145600 156184 178496 181285 195230 203840 223120 243442 253799 254800 273322 278900 290056 312368 362570 390460 446240 486884 488075 507598 509600 546644 557800 580112 608605 624736 683305 725140 780920 852047 892480 906425 973768 976150 1015196 1019200 1093288 1115600 1160224 1217210 1249472 1268995 1366610 1450280 1561840 1582373 1704094 1776593 1812850 1947536 1952300 2030392 2186576 2231200 2320448 2434420 2537990 2733220 2900560 3043025 3123680 3164746 3408188 3416525 3553186 3625700 3895072 3904600 4060784 4260235 4373152 4462400 4868840 5075980 5466440 5801120 5964329 6086050 6247360 6329492 6344975 6816376 6833050 7106372 7251400 7790144 7809200 7911865 8121568 8520470 8746304 8882965 9737680 10151960 10932880 11076611 11602240 11928658 12172100 12658984 12689950 13632752 13666100 14212744 14502800 15618400 15823730 16243136 17040940 17765930 19475360 20303920 21301175 21865760 22153222 23857316 24344200 25317968 25379900 27265504 27332200 28425488 29005600 29821645 31236800 31647460 34081880 35531860 38950720 39559325 40607840 42602350 43731520 44306444 44414825 47714632 48688400 50635936 50759800 54531008 54664400 55383055 56850976 58011200 59643290 63294920 68163760 71063720 77536277 79118650 81215680 85204700 88612888 88829650 95429264 97376800 101271872 101519600 109328800 110766110 113701952 119286580 126589840 136327520 142127440 149108225 155072554 158237300 170409400 177225776 177659300 190858528 194753600 203039200 218657600 221532220 238573160 253179680 272655040 276915275 284254880 298216450 310145108 316474600 339479869 340818800 354451552 355318600 381717056 387681385 406078400 443064440 477146320 506359360 553830550 568509760 596432900 620290216 632949200 678959738 681637600 708903104 710637200 775362770 886128880 954292640 1107661100 1192865800 1240580432 1265898400 1357919476 1363275200 1421274400 1550725540 1697399345 1772257760 1908585280 1938406925 2215322200 2376359083 2385731600 2481160864 2531796800 2715838952 2842548800 3101451080 3394798690 3544515520 3876813850 4413238297 4430644400 4752718166 4771463200 4962321728 5431677904 6202902160 6789597380 7753627700 8486996725 8826476594 8861288800 9505436332 9542926400 10863355808 11881795415 12405804320 13579194760 15507255400 16634513581 16973993450 17652953188 17722577600 19010872664 21726711616 22066191485 23763590830 24811608640 27158389520 30892668079 31014510800 33269027162 33947986900 35305906376 38021745328 44132382970 47527181660 54316779040 59408977075 61785336158 62029021600 66538054324 67895973800 70611812752 76043490656 83172567905 88264765940 95054363320 108633558080 110330957425 118817954150 123570672316 124058043200 133076108648 135791947600 141223625504 152086981312 154463340395 166345135810 176529531880 190108726640 216248676553 220661914850 237635908300 247141344632 266152217296 271583895200 282447251008 308926680790 332690271620 353059063760 380217453280 415862839525 432497353106 441323829700 475271816600 494282689264 532304434592 543167790400 617853361580 665380543240 706118127520 760434906560 772316701975 831725679050 864994706212 882647659400 950543633200 988565378528 1064608869184 1081243382765 1235706723160 1330761086480 1412236255040 1544633403950 1663451358100 1729989412424 1765295318800 1901087266400 1977130757056 2162486765530 2471413446320 2661522172960 3089266807900 3326902716200 3459978824848 3530590637600 3802174532800 4324973531060 4942826892640 5323044345920 5406216913825 6178533615800 6653805432400 6919957649696 7061181275200 8649947062120 9885653785280 10812433827650 12357067231600 13307610864800 13839915299392 17299894124240 21624867655300 24714134463200 26615221729600 34599788248480 43249735310600 49428268926400 69199576496960 86499470621200 172998941242400 345997882484800
• Sum of all divisors σ(n): 1066943910359880
• Sum of proper divisors (its aliquot sum) s(n): 720946027875080
• 345997882484800 is an abundant number, because the sum of its proper divisors (720946027875080) is greater than itself. Its abundance is 374948145390280

Bases of 345997882484800

• Binary: 1001110101010111011101000111000001110100001000000₂
• Hexadecimal: 0x13AAEE8E0E840
• Base-36: 3EN98DTWSG

Squares and roots of 345997882484800

• 345997882484800 squared (345997882484800²) is 119714534683965470622231040000
• 345997882484800 cubed (345997882484800³) is 41420975503305198611211622112314888192000000
• The square root of 345997882484800 is 18601018.3184899853
• The cube root of 345997882484800 is 70203.3463017427

Scales and comparisons

• 345,997,882,484,800 seconds is equal to 11,001,662 years, 21 weeks, 6 days, 8 hours, 26 minutes, 40 seconds.
• To count from 1 to 345,997,882,484,800 would take you about twenty-seven million, five hundred four thousand, one hundred fifty-six 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 345997882484800 cubic inches would be around 5850.3 feet tall.

Recreational maths with 345997882484800

• 345997882484800 backwards is 008484288799543
• The number of decimal digits it has is: 15
• The sum of 345997882484800's digits is 79
• More coming soon!