34381715496480

Names of 34381715496480

• Cardinal: 34381715496480 can be written as Thirty-four trillion, three hundred eighty-one billion, seven hundred fifteen million, four hundred ninety-six thousand, four hundred eighty.

Scientific notation

• Scientific notation: 3.438171549648 × 10¹³

Factors of 34381715496480

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 3568

Divisors of 34381715496480

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 32 33 36 40 44 45 48 54 55 60 66 72 80 88 90 96 99 108 110 120 132 135 144 160 165 176 180 198 216 220 240 264 270 271 288 297 330 352 360 396 432 440 480 495 528 540 542 594 660 720 792 813 864 880 990 1056 1080 1084 1188 1320 1355 1440 1485 1523 1584 1626 1753 1760 1980 2160 2168 2376 2439 2640 2710 2970 2981 3046 3168 3252 3506 3960 4065 4320 4336 4569 4752 4878 5259 5280 5420 5940 5962 6092 6504 7012 7317 7615 7920 8130 8672 8765 8943 9138 9504 9756 10518 10840 11880 11924 12184 12195 13008 13707 14024 14634 14905 15230 15777 15840 16260 16753 17530 17886 18276 19283 19512 21036 21680 22845 23760 23848 24368 24390 26016 26295 26829 27414 28048 29268 29810 30460 31554 32520 33506 35060 35772 36552 36585 38566 39024 41121 42072 43360 44715 45690 47331 47520 47696 48736 48780 50259 52590 53658 54828 56096 57849 58536 59620 60920 63108 65040 67012 68535 70120 71544 73104 73170 77132 78048 78885 80487 82242 83765 84144 89430 91380 94662 95392 96415 97560 100518 105180 107316 109656 115698 117072 119240 121840 126216 130080 134024 134145 137070 140240 143088 146208 146340 150777 154264 157770 160974 164484 167530 168288 173547 178860 182760 189324 192830 195120 201036 205605 210360 214632 219312 231396 234144 236655 238480 243680 251295 252432 268048 268290 274140 280480 286176 289245 292680 301554 308528 315540 321948 328968 335060 347094 357720 365520 378648 385660 390240 402072 402435 411210 412733 420720 429264 438624 452331 462792 473310 475063 476960 502590 504864 520641 536096 536580 548280 578490 585360 603108 617056 631080 643896 657936 670120 694188 715440 731040 753885 757296 771320 804144 804870 822420 825466 841440 858528 867735 904662 925584 946620 950126 1005180 1041282 1073160 1096560 1156980 1170720 1206216 1238199 1262160 1287792 1315872 1340240 1388376 1425189 1430880 1507770 1514592 1542640 1608288 1609740 1644840 1650932 1735470 1809324 1851168 1893240 1900252 2010360 2063665 2082564 2146320 2193120 2261655 2313960 2375315 2412432 2476398 2524320 2575584 2603205 2669819 2680480 2776752 2850378 3015540 3085280 3219480 3289680 3301864 3470940 3618648 3714597 3786480 3800504 4020720 4127330 4165128 4275567 4292640 4523310 4540063 4627920 4750630 4824864 4952796 5206410 5225693 5339638 5553504 5700756 6031080 6190995 6438960 6579360 6603728 6941880 7125945 7237296 7429194 7572960 7601008 8009457 8041440 8254660 8330256 8551134 9046620 9080126 9255840 9501260 9905592 10412820 10451386 10679276 11143791 11401512 12062160 12381990 12826701 12877920 13207456 13349095 13620189 13883760 14251890 14474592 14858388 15202016 15677079 16018914 16509320 16660512 17102268 18093240 18160252 18572985 19002520 19811184 20825640 20902772 21358552 21377835 22287582 22700315 22803024 24028371 24124320 24763980 25653402 26128465 26698190 27240378 27767520 28503780 29368009 29716776 31354158 32037828 33018640 34204536 36186480 36320504 37145970 38005040 39622368 40047285 40860567 41651280 41805544 42717104 42755670 44575164 45400630 45606048 47031237 48056742 49527960 51306804 52256930 53396380 54480756 55718955 57007560 58736018 59433552 62708316 64075656 64133505 66037280 68100945 68409072 72085113 72372960 72641008 74291940 76010080 78385395 80094570 81721134 83302560 83611088 85434208 85511340 88104027 89150328 90801260 94062474 96113484 99055920 102613608 104513860 106792760 108961512 111437910 114015120 117472036 118867104 120141855 122581701 125416632 128151312 128267010 136201890 136818144 141093711 144170226 145282016 146840045 148583880 156770790 160189140 163442268 167222176 171022680 176208054 178300656 181602520 188124948 192226968 198111840 204302835 205227216 209027720 213585520 217923024 222875820 228030240 234944072 235156185 240283710 245163402 250833264 256302624 256534020 264312081 272403780 282187422 288340452 293680090 297167760 313541580 320378280 326884536 342045360 352416108 356601312 360425565 363205040 376249896 384453936 408605670 410454432 418055440 427171040 435846048 440520135 445751640 469888144 470312370 480567420 490326804 501666528 513068040 528624162 544807560 564374844 576680904 587360180 594335520 612908505 627083160 640756560 653769072 684090720 704832216 705468555 720851130 723520949 726410080 752499792 768907872 792936243 817211340 836110880 881040270 891503280 939776288 940624740 961134840 980653608 1026136080 1057248324 1089615120 1128749688 1153361808 1174720360 1225817010 1254166320 1281513120 1307538144 1321560405 1409664432 1410937110 1441702260 1447041898 1504999584 1585872486 1634422680 1762080540 1783006560 1881249480 1922269680 1961307216 2052272160 2114496648 2170562847 2179230240 2257499376 2306723616 2349440720 2451634020 2508332640 2643120810 2819328864 2821874220 2883404520 2894083796 3171744972 3268845360 3524161080 3617604745 3762498960 3844539360 3922614432 3964681215 4228993296 4341125694 4514998752 4698881440 4903268040 5286241620 5643748440 5766809040 5788167592 6343489944 6511688541 6537690720 7048322160 7235209490 7524997920 7929362430 7958730439 8457986592 8682251388 9806536080 10572483240 10852814235 11287496880 11533618080 11576335184 12686979888 13023377082 14096644320 14470418980 15858724860 15917460878 17364502776 19535065623 19613072160 21144966480 21705628470 22574993760 23152670368 23876191317 25373959776 26046754164 28940837960 31717449720 31834921756 32558442705 34729005552 39070131246 39793652195 42289932960 43411256940 47752382634 52093508328 57881675920 63434899440 63669843512 65116885410 69458011104 71628573951 78140262492 79587304390 86822513880 95504765268 97675328115 104187016656 115763351840 119380956585 126869798880 127339687024 130233770820 143257147902 156280524984 159174608780 173645027760 191009530536 195350656230 208374033312 214885721853 238761913170 254679374048 260467541640 286514295804 312561049968 318349217560 347290055520 358142869755 382019061072 390701312460 429771443706 477523826340 520935083280 573028591608 625122099936 636698435120 716285739510 764038122144 781402624920 859542887412 955047652680 1041870166560 1074428609265 1146057183216 1273396870240 1432571479020 1562805249840 1719085774824 1910095305360 2148857218530 2292114366432 2865142958040 3125610499680 3438171549648 3820190610720 4297714437060 5730285916080 6876343099296 8595428874120 11460571832160 17190857748240 34381715496480
• Sum of all divisors σ(n): 131921778401280
• Sum of proper divisors (its aliquot sum) s(n): 97540062904800
• 34381715496480 is an abundant number, because the sum of its proper divisors (97540062904800) is greater than itself. Its abundance is 63158347408320

Bases of 34381715496480

• Binary: 111110100010100011101111100000101111000100000₂
• Hexadecimal: 0x1F451DF05E20
• Base-36: C6QQPP3C0

Squares and roots of 34381715496480

• 34381715496480 squared (34381715496480²) is 1182102360480892972892390400
• 34381715496480 cubed (34381715496480³) is 40642707045771505071042635583149985792000
• The square root of 34381715496480 is 5863592.3712754795
• The cube root of 34381715496480 is 32516.9033951827

Scales and comparisons

• 34,381,715,496,480 seconds is equal to 1,093,232 years, 10 weeks, 3 days, 22 hours, 48 minutes.
• To count from 1 to 34,381,715,496,480 would take you about two million, seven hundred thirty-three thousand and eighty 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 34381715496480 cubic inches would be around 2709.7 feet tall.

Recreational maths with 34381715496480

• 34381715496480 backwards is 08469451718343
• The number of decimal digits it has is: 14
• The sum of 34381715496480's digits is 63
• More coming soon!