34078974642000

Names of 34078974642000

• Cardinal: 34078974642000 can be written as Thirty-four trillion, seventy-eight billion, nine hundred seventy-four million, six hundred forty-two thousand.

Scientific notation

• Scientific notation: 3.4078974642 × 10¹³

Factors of 34078974642000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 1330

Divisors of 34078974642000

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 43 45 48 50 54 60 72 75 80 81 86 90 100 108 120 125 129 135 144 150 162 172 180 200 215 216 225 240 243 250 258 270 300 324 344 360 375 387 400 405 430 432 450 486 500 516 540 600 645 648 675 688 720 750 774 810 860 900 972 1000 1032 1075 1080 1125 1161 1200 1215 1277 1290 1296 1350 1500 1548 1620 1720 1800 1935 1944 2000 2025 2064 2150 2160 2250 2322 2430 2554 2580 2700 3000 3096 3225 3240 3375 3440 3483 3600 3831 3870 3888 4050 4300 4500 4644 4860 5108 5160 5375 5400 5805 6000 6075 6192 6385 6450 6480 6750 6966 7662 7740 8100 8600 9000 9288 9675 9720 10125 10216 10320 10449 10750 10800 11493 11610 12150 12770 12900 13500 13932 15324 15480 16125 16200 17200 17415 18000 18576 19155 19350 19440 20250 20432 20898 21500 22986 23220 24300 25540 25800 27000 27864 29025 30375 30648 30960 31925 32250 32400 34479 34830 38310 38700 40500 41796 43000 45972 46440 48375 48600 51080 51600 52245 54000 54911 55728 57465 58050 60750 61296 63850 64500 68958 69660 76620 77400 81000 83592 86000 87075 91944 92880 95775 96750 97200 102160 103437 104490 109822 114930 116100 121500 127700 129000 137916 139320 145125 153240 154800 159625 162000 164733 167184 172395 174150 183888 191550 193500 206874 208980 219644 229860 232200 243000 255400 258000 261225 274555 275832 278640 287325 290250 306480 310311 319250 329466 344790 348300 383100 387000 413748 417960 435375 439288 459720 464400 478875 486000 494199 510800 517185 522450 549110 551664 574650 580500 620622 638500 658932 689580 696600 766200 774000 823665 827496 835920 861975 870750 878576 919440 957750 988398 1034370 1044900 1098220 1149300 1161000 1241244 1277000 1306125 1317864 1372775 1379160 1393200 1436625 1482597 1532400 1551555 1630729 1647330 1654992 1723950 1741500 1915500 1976796 2068740 2089800 2196440 2298600 2322000 2470995 2482488 2554000 2585925 2612250 2635728 2745550 2758320 2873250 2965194 3103110 3261458 3294660 3447900 3483000 3831000 3953592 4118325 4137480 4179600 4309875 4392880 4447791 4597200 4892187 4941990 4964976 5171850 5224500 5491100 5746500 5930388 6206220 6522916 6589320 6863875 6895800 6966000 7412985 7662000 7757775 7907184 8153645 8236650 8274960 8619750 8895582 9784374 9883980 10343700 10449000 10982200 11493000 11860776 12354975 12412440 12929625 13045832 13178640 13343373 13727750 13791600 14676561 14825970 15515550 16307290 16473300 17239500 17791164 19568748 19767960 20591625 20687400 20898000 21964400 22238955 22986000 23721552 24460935 24709950 24824880 25859250 26091664 26686746 27455500 29353122 29651940 31031100 32614580 32946600 34479000 35582328 37064925 38788875 39137496 39535920 40768225 41183250 41374800 44029683 44477910 48921870 49419900 51718500 53373492 54911000 58706244 59303880 61774875 62062200 65229160 65893200 66716865 68958000 70121347 71164656 73382805 74129850 77577750 78274992 81536450 82366500 88059366 88955820 97843740 98839800 103437000 106746984 109822000 111194775 117412488 118607760 122304675 123549750 124124400 130458320 132089049 133433730 140242694 146765610 148259700 155155500 163072900 164733000 176118732 177911640 185324625 195687480 197679600 203841125 206874000 210364041 213493968 220148415 222389550 234824976 244609350 247099500 264178098 266867460 280485388 293531220 296519400 310311000 326145800 329466000 333584325 350606735 352237464 355823280 366914025 370649250 391374960 396267147 407682250 420728082 440296830 444779100 489218700 494199000 528356196 533734920 555973875 560970776 587062440 593038800 611523375 620622000 631092123 652291600 660445245 667168650 701213470 704474928 733828050 741298500 792534294 815364500 841456164 880593660 889558200 978437400 988398000 1051820205 1056712392 1067469840 1100742075 1111947750 1121941552 1174124880 1223046750 1262184246 1320890490 1334337300 1402426940 1467656100 1482597000 1585068588 1630729000 1667921625 1682912328 1753033675 1761187320 1779116400 1834570125 1893276369 1956874800 1981335735 2103640410 2113424784 2201484150 2223895500 2446093500 2524368492 2641780980 2668674600 2804853880 2935312200 2965194000 3155460615 3170137176 3261458000 3302226225 3335843250 3365824656 3506067350 3522374640 3669140250 3786552738 3962671470 4207280820 4402968300 4447791000 4892187000 5048736984 5259101025 5283561960 5337349200 5503710375 5609707760 5679829107 5870624400 6310921230 6340274352 6604452450 6671686500 7012134700 7338280500 7573105476 7925342940 8414561640 8765168375 8805936600 8895582000 9466381845 9784374000 9906678675 10097473968 10518202050 10567123920 11007420750 11359658214 12621842460 13208904900 13343373000 14024269400 14676561000 15146210952 15777303075 15850685880 16511131125 16829123280 17039487321 17530336750 17611873200 18932763690 19813357350 21036404100 22014841500 22719316428 25243684920 26295505125 26417809800 26686746000 28048538800 28399145535 29353122000 30292421904 31554606150 31701371760 33022262250 34078974642 35060673500 37865527380 39626714700 42072808200 44029683000 45438632856 47331909225 49533393375 50487369840 52591010250 52835619600 56798291070 63109212300 66044524500 68157949284 70121347000 75731054760 78886515375 79253429400 84145616400 85197436605 88059366000 90877265712 94663818450 99066786750 105182020500 113596582140 126218424600 132089049000 136315898568 140242694000 141995727675 151462109520 157773030750 158506858800 170394873210 189327636900 198133573500 210364041000 227193164280 236659546125 252436849200 264178098000 272631797136 283991455350 315546061500 340789746420 378655273800 396267147000 420728082000 425987183025 454386328560 473319092250 567982910700 631092123000 681579492840 709978638375 757310547600 792534294000 851974366050 946638184500 1135965821400 1262184246000 1363158985680 1419957276750 1703948732100 1893276369000 2129935915125 2271931642800 2839914553500 3407897464200 3786552738000 4259871830250 5679829107000 6815794928400 8519743660500 11359658214000 17039487321000 34078974642000
• Sum of all divisors σ(n): 126404451805632
• Sum of proper divisors (its aliquot sum) s(n): 92325477163632
• 34078974642000 is an abundant number, because the sum of its proper divisors (92325477163632) is greater than itself. Its abundance is 58246502521632

Bases of 34078974642000

• Binary: 111101111111010100001001011011000011101010000₂
• Hexadecimal: 0x1EFEA12D8750
• Base-36: C2VNXLX00

Squares and roots of 34078974642000

• 34078974642000 squared (34078974642000²) is 1161376512650079028164000000
• 34078974642000 cubed (34078974642000³) is 39578520724416435420096959817288000000000
• The square root of 34078974642000 is 5837719.9866043591
• The cube root of 34078974642000 is 32421.1816740405

Scales and comparisons

• 34,078,974,642,000 seconds is equal to 1,083,605 years, 50 weeks, 6 days, 21 hours.
• To count from 1 to 34,078,974,642,000 would take you about two million, seven hundred nine thousand and fourteen 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 34078974642000 cubic inches would be around 2701.8 feet tall.

Recreational maths with 34078974642000

• 34078974642000 backwards is 00024647987043
• 34078974642000 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 34078974642000's digits is 54
• More coming soon!