34359864006720

Names of 34359864006720

• Cardinal: 34359864006720 can be written as Thirty-four trillion, three hundred fifty-nine billion, eight hundred sixty-four million, six thousand, seven hundred twenty.

Scientific notation

• Scientific notation: 3.435986400672 × 10¹³

Factors of 34359864006720

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 5820

Divisors of 34359864006720

• Number of divisors d(n): 448
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 941 960 1120 1344 1680 1741 1882 2240 2823 3121 3360 3482 3764 4705 5223 5646 6242 6587 6720 6964 7528 8705 9363 9410 10446 11292 12187 12484 13174 13928 14115 15056 15605 17410 18726 18820 19761 20892 21847 22584 24374 24968 26115 26348 27856 28230 30112 31210 32935 34820 36561 37452 37640 39522 41784 43694 45168 46815 48748 49936 52230 52696 55712 56460 60224 60935 62420 65541 65870 69640 73122 74904 75280 79044 83568 87388 90336 93630 97496 98805 99872 104460 105392 109235 111424 112920 121870 124840 131082 131740 139280 146244 149808 150560 158088 167136 174776 180672 182805 187260 194992 197610 199744 208920 210784 218470 225840 243740 249680 262164 263480 278560 292488 299616 301120 316176 327705 334272 349552 365610 374520 389984 395220 417840 421568 436940 451680 487480 499360 524328 526960 557120 584976 599232 632352 655410 699104 731220 749040 779968 790440 835680 873880 903360 974960 998720 1048656 1053920 1169952 1264704 1310820 1398208 1462440 1498080 1580880 1638281 1671360 1747760 1949920 2097312 2107840 2339904 2621640 2924880 2936861 2996160 3161760 3276562 3495520 3899840 4194624 4914843 5243280 5433661 5849760 5873722 6323520 6553124 6991040 8191405 8810583 9829686 10486560 10867322 11467967 11699520 11747444 13106248 14684305 16300983 16382810 17621166 19659372 20558027 20973120 21734644 22935934 23494888 24574215 26212496 27168305 29368610 32601966 32765620 34403901 35242332 38035627 39318744 41116054 43469288 44052915 45871868 46989776 49148430 52424992 54336610 57339835 58737220 61674081 65203932 65531240 68807802 70484664 76071254 78637488 81504915 82232108 86938576 88105830 91743736 93979552 98296860 102790135 104849984 108673220 114106881 114679670 117474440 123348162 130407864 131062480 137615604 140969328 152142508 157274976 163009830 164464216 172019505 173877152 176211660 183487472 187959104 190178135 196593720 205580270 217346440 228213762 229359340 234948880 246696324 260815728 262124960 275231208 281938656 304285016 308370405 314549952 326019660 328928432 344039010 347754304 352423320 366974944 380356270 393187440 411160540 434692880 456427524 458718680 469897760 493392648 521631456 524249920 550462416 563877312 570534405 608570032 616740810 652039320 657856864 688078020 704846640 733949888 760712540 786374880 822321080 869385760 912855048 917437360 939795520 986785296 1043262912 1100924832 1141068810 1217140064 1233481620 1304078640 1315713728 1376156040 1409693280 1521425080 1572749760 1644642160 1738771520 1825710096 1834874720 1973570592 2201849664 2282137620 2434280128 2466963240 2608157280 2752312080 2819386560 3042850160 3289284320 3651420192 3669749440 3947141184 4564275240 4933926480 5113075001 5216314560 5504624160 6085700320 6578568640 7302840384 9128550480 9867852960 10226150002 11009248320 12171400640 15339225003 18257100960 19735705920 20452300004 25565375005 30678450006 35791525007 36514201920 40904600008 51130750010 61356900012 71583050014 76696125015 81809200016 102261500020 107374575021 122713800024 143166100028 153392250030 163618400032 178957625035 204523000040 214749150042 245427600048 286332200056 306784500060 327236800064 357915250070 409046000080 429498300084 490855200096 536872875105 572664400112 613569000120 715830500140 818092000160 858996600168 981710400192 1073745750210 1145328800224 1227138000240 1431661000280 1636184000320 1717993200336 2147491500420 2290657600448 2454276000480 2863322000560 3435986400672 4294983000840 4908552000960 5726644001120 6871972801344 8589966001680 11453288002240 17179932003360 34359864006720
• Sum of all divisors σ(n): 124921417001472
• Sum of proper divisors (its aliquot sum) s(n): 90561552994752
• 34359864006720 is an abundant number, because the sum of its proper divisors (90561552994752) is greater than itself. Its abundance is 56201688988032

Bases of 34359864006720

• Binary: 111110100000000000111011111010001100001000000₂
• Hexadecimal: 0x1F40077D1840
• Base-36: C6GPBVTXC

Squares and roots of 34359864006720

• 34359864006720 squared (34359864006720²) is 1180600254560292572205158400
• 34359864006720 cubed (34359864006720³) is 40565264192990666291824588807676264448000
• The square root of 34359864006720 is 5861728.7558125717
• The cube root of 34359864006720 is 32510.0131692369

Scales and comparisons

• 34,359,864,006,720 seconds is equal to 1,092,537 years, 20 weeks, 3 days, 4 hours, 32 minutes.
• To count from 1 to 34,359,864,006,720 would take you about two million, seven hundred thirty-one thousand, three hundred forty-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 34359864006720 cubic inches would be around 2709.2 feet tall.

Recreational maths with 34359864006720

• 34359864006720 backwards is 02760046895343
• The number of decimal digits it has is: 14
• The sum of 34359864006720's digits is 57
• More coming soon!