34041361140000
34,041,361,140,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 34041361140000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 720 divisors.
34041361140000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 34041361140000:
25 × 32 × 54 × 23 × 421 × 19531
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 23 × 421 × 19531)See below for interesting mathematical facts about the number 34041361140000 from the Numbermatics database.
Names of 34041361140000
- Cardinal: 34041361140000 can be written as Thirty-four trillion, forty-one billion, three hundred sixty-one million, one hundred forty thousand.
Scientific notation
- Scientific notation: 3.404136114 × 1013
Factors of 34041361140000
Divisors of 34041361140000
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 25 30 32 36 40 45 46 48 50 60 69 72 75 80 90 92 96 100 115 120 125 138 144 150 160 180 184 200 207 225 230 240 250 276 288 300 345 360 368 375 400 414 421 450 460 480 500 552 575 600 625 690 720 736 750 800 828 842 900 920 1000 1035 1104 1125 1150 1200 1250 1263 1380 1440 1500 1656 1684 1725 1800 1840 1875 2000 2070 2105 2208 2250 2300 2400 2500 2526 2760 2875 3000 3312 3368 3450 3600 3680 3750 3789 4000 4140 4210 4500 4600 5000 5052 5175 5520 5625 5750 6000 6315 6624 6736 6900 7200 7500 7578 8280 8420 8625 9000 9200 9683 10000 10104 10350 10525 11040 11250 11500 12000 12630 13472 13800 14375 15000 15156 16560 16840 17250 18000 18400 18945 19366 19531 20000 20208 20700 21050 22500 23000 25260 25875 27600 28750 29049 30000 30312 31575 33120 33680 34500 36000 37890 38732 39062 40416 41400 42100 43125 45000 46000 48415 50520 51750 52625 55200 57500 58098 58593 60000 60624 63150 67360 69000 75780 77464 78124 82800 84200 86250 87147 90000 92000 94725 96830 97655 101040 103500 105250 115000 116196 117186 121248 126300 129375 138000 145245 151560 154928 156248 157875 165600 168400 172500 174294 175779 180000 189450 193660 195310 202080 207000 210500 230000 232392 234372 242075 252600 258750 263125 276000 290490 292965 303120 309856 312496 315750 336800 345000 348588 351558 378900 387320 390620 414000 421000 435735 449213 460000 464784 468744 473625 484150 488275 505200 517500 526250 580980 585930 606240 624992 631500 690000 697176 703116 726225 757800 774640 781240 789375 828000 842000 871470 878895 898426 929568 937488 947250 968300 976550 1010400 1035000 1052500 1161960 1171860 1210375 1263000 1347639 1380000 1394352 1406232 1452450 1464825 1515600 1549280 1562480 1578750 1684000 1742940 1757790 1796852 1874976 1894500 1936600 1953100 2070000 2105000 2178675 2246065 2323920 2343720 2368125 2420750 2441375 2526000 2695278 2788704 2812464 2904900 2929650 3031200 3124960 3157500 3485880 3515580 3593704 3631125 3789000 3873200 3906200 4042917 4140000 4210000 4357350 4394475 4492130 4647840 4687440 4736250 4841500 4882750 5052000 5390556 5624928 5809800 5859300 6051875 6315000 6738195 6971760 7031160 7187408 7262250 7324125 7578000 7746400 7812400 8085834 8222551 8420000 8714700 8788950 8984260 9374880 9472500 9683000 9765500 10781112 10893375 11230325 11619600 11718600 12103750 12206875 12630000 13476390 13943520 14062320 14374816 14524500 14648250 15156000 15624800 16171668 16445102 17429400 17577900 17968520 18155625 18945000 19366000 19531000 20214585 21562224 21786750 21972375 22460650 23239200 23437200 24207500 24413750 24667653 25260000 26952780 28124640 29049000 29296500 32343336 32890204 33690975 34858800 35155800 35937040 36311250 36620625 37890000 38732000 39062000 40429170 41112755 43124448 43573500 43944750 44921300 46874400 48415000 48827500 49335306 53905560 54466875 56151625 58098000 58593000 64686672 65780408 67381950 69717600 70311600 71874080 72622500 73241250 74002959 75780000 78124000 80858340 82225510 87147000 87889500 89842600 96830000 97655000 98670612 101072925 107811120 108933750 109861875 112303250 116196000 117186000 123338265 129373344 131560816 134763900 140623200 145245000 146482500 148005918 161716680 164451020 168454875 174294000 175779000 179685200 189118673 193660000 195310000 197341224 202145850 205563775 215622240 217867500 219723750 224606500 234372000 246676530 263121632 269527800 280758125 290490000 292965000 296011836 323433360 328902040 336909750 348588000 351558000 359370400 370014795 378237346 390620000 394682448 404291700 411127550 435735000 439447500 449213000 493353060 505364625 539055600 561516250 567356019 580980000 585930000 592023672 616691325 646866720 657804080 673819500 703116000 740029590 756474692 789364896 808583400 822255100 842274375 871470000 878895000 898426000 945593365 986706120 1010729250 1027818875 1078111200 1123032500 1134712038 1171860000 1184047344 1233382650 1315608160 1347639000 1480059180 1512949384 1617166800 1644510200 1684548750 1702068057 1742940000 1757790000 1796852000 1850073975 1891186730 1973412240 2021458500 2055637750 2246065000 2269424076 2368094688 2466765300 2526823125 2695278000 2836780095 2960118360 3025898768 3083456625 3234333600 3289020400 3369097500 3404136114 3515580000 3700147950 3782373460 3946824480 4042917000 4111275500 4492130000 4538848152 4727966825 4933530600 5053646250 5139094375 5390556000 5673560190 5920236720 6051797536 6166913250 6578040800 6738195000 6808272228 7400295900 7564746920 8085834000 8222551000 8510340285 8984260000 9077696304 9250369875 9455933650 9867061200 10107292500 10278188750 11347120380 11840473440 12333826500 13476390000 13616544456 14183900475 14800591800 15129493840 15417283125 16171668000 16445102000 17020680570 18155392608 18500739750 18911867300 19734122400 20214585000 20556377500 22694240760 23639834125 24667653000 26952780000 27233088912 28367800950 29601183600 30258987680 30834566250 32890204000 34041361140 37001479500 37823734600 40429170000 41112755000 42551701425 45388481520 46251849375 47279668250 49335306000 54466177824 56735601900 59202367200 61669132500 68082722280 70919502375 74002959000 75647469200 80858340000 82225510000 85103402850 90776963040 92503698750 94559336500 98670612000 113471203800 118199170625 123338265000 136165444560 141839004750 148005918000 151294938400 164451020000 170206805700 185007397500 189118673000 212758507125 226942407600 236398341250 246676530000 272330889120 283678009500 296011836000 340413611400 354597511875 370014795000 378237346000 425517014250 453884815200 472796682500 493353060000 567356019000 680827222800 709195023750 740029590000 756474692000 851034028500 945593365000 1063792535625 1134712038000 1361654445600 1418390047500 1480059180000 1702068057000 1891186730000 2127585071250 2269424076000 2836780095000 3404136114000 3782373460000 4255170142500 5673560190000 6808272228000 8510340285000 11347120380000 17020680570000 34041361140000
- Sum of all divisors σ(n): 126533448385344
- Sum of proper divisors (its aliquot sum) s(n): 92492087245344
- 34041361140000 is an abundant number, because the sum of its proper divisors (92492087245344) is greater than itself. Its abundance is 58450726105344
Bases of 34041361140000
- Binary: 1111011110101110111110011110100001001001000002
- Hexadecimal: 0x1EF5DF3D0920
- Base-36: C2EDVI140
Squares and roots of 34041361140000
- 34041361140000 squared (340413611400002) is 1158814268263902099600000000
- 34041361140000 cubed (340413611400003) is 39447615000156332198087849544000000000000
-
The
square root of 34041361140000 is 5834497.5053555383 -
The
cube root of 34041361140000 is 32409.2493597537
Scales and comparisons
How big is 34041361140000?- 34,041,361,140,000 seconds is equal to 1,082,409 years, 51 weeks, 2 days, 10 hours.
-
To count from 1 to 34,041,361,140,000 would take you about two million, seven hundred six thousand and twenty-four 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 34041361140000 cubic inches would be around 2700.8 feet tall.
Recreational maths with 34041361140000
- 34041361140000 backwards is 00004116314043
- The number of decimal digits it has is: 14
- The sum of 34041361140000's digits is 27
- More coming soon!
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