34394131200
34,394,131,200 is an even composite number composed of six prime numbers multiplied together.
34394131200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 34394131200:
28 × 3 × 52 × 11 × 13 × 12527
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 13 × 12527)See below for interesting mathematical facts about the number 34394131200 from the Numbermatics database.
Names of 34394131200
- Cardinal: 34394131200 can be written as Thirty-four billion, three hundred ninety-four million, one hundred thirty-one thousand, two hundred.
Scientific notation
- Scientific notation: 3.43941312 × 1010
Factors of 34394131200
Divisors of 34394131200
- Number of divisors d(n): 432
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 25 26 30 32 33 39 40 44 48 50 52 55 60 64 65 66 75 78 80 88 96 100 104 110 120 128 130 132 143 150 156 160 165 176 192 195 200 208 220 240 256 260 264 275 286 300 312 320 325 330 352 384 390 400 416 429 440 480 520 528 550 572 600 624 640 650 660 704 715 768 780 800 825 832 858 880 960 975 1040 1056 1100 1144 1200 1248 1280 1300 1320 1408 1430 1560 1600 1650 1664 1716 1760 1920 1950 2080 2112 2145 2200 2288 2400 2496 2600 2640 2816 2860 3120 3200 3300 3328 3432 3520 3575 3840 3900 4160 4224 4290 4400 4576 4800 4992 5200 5280 5720 6240 6400 6600 6864 7040 7150 7800 8320 8448 8580 8800 9152 9600 9984 10400 10560 10725 11440 12480 12527 13200 13728 14080 14300 15600 16640 17160 17600 18304 19200 20800 21120 21450 22880 24960 25054 26400 27456 28600 31200 34320 35200 36608 37581 41600 42240 42900 45760 49920 50108 52800 54912 57200 62400 62635 68640 70400 75162 83200 85800 91520 100216 105600 109824 114400 124800 125270 137280 137797 150324 162851 171600 183040 187905 200432 211200 228800 249600 250540 274560 275594 300648 313175 325702 343200 375810 400864 413391 457600 488553 501080 549120 551188 601296 626350 651404 686400 688985 751620 801728 814255 826782 915200 939525 977106 1002160 1102376 1202592 1252700 1302808 1372800 1377970 1503240 1603456 1628510 1653564 1791361 1879050 1954212 2004320 2066955 2204752 2405184 2442765 2505400 2605616 2745600 2755940 3006480 3206912 3257020 3307128 3444925 3582722 3758100 3908424 4008640 4071275 4133910 4409504 4810368 4885530 5010800 5211232 5374083 5511880 6012960 6514040 6614256 6889850 7165444 7516200 7816848 8017280 8142550 8267820 8819008 8956805 9620736 9771060 10021600 10334775 10422464 10748166 11023760 12025920 12213825 13028080 13228512 13779700 14330888 15032400 15633696 16034560 16285100 16535640 17638016 17913610 19542120 20043200 20669550 20844928 21496332 22047520 24051840 24427650 26056160 26457024 26870415 27559400 28661776 30064800 31267392 32570200 33071280 35276032 35827220 39084240 40086400 41339100 41689856 42992664 44095040 44784025 48103680 48855300 52112320 52914048 53740830 55118800 57323552 60129600 62534784 65140400 66142560 71654440 78168480 80172800 82678200 85985328 88190080 89568050 97710600 104224640 105828096 107481660 110237600 114647104 120259200 125069568 130280800 132285120 134352075 143308880 156336960 165356400 171970656 176380160 179136100 195421200 208449280 214963320 220475200 229294208 240518400 260561600 264570240 268704150 286617760 312673920 330712800 343941312 358272200 390842400 429926640 440950400 458588416 521123200 529140480 537408300 573235520 625347840 661425600 687882624 716544400 781684800 859853280 881900800 1042246400 1074816600 1146471040 1322851200 1375765248 1433088800 1563369600 1719706560 2149633200 2292942080 2645702400 2866177600 3126739200 3439413120 4299266400 5732355200 6878826240 8598532800 11464710400 17197065600 34394131200
- Sum of all divisors σ(n): 133362464256
- Sum of proper divisors (its aliquot sum) s(n): 98968333056
- 34394131200 is an abundant number, because the sum of its proper divisors (98968333056) is greater than itself. Its abundance is 64574201856
Bases of 34394131200
- Binary: 1000000000100000110011001011000000002
- Hexadecimal: 0x8020CCB00
- Base-36: FSTDLHC
Squares and roots of 34394131200
- 34394131200 squared (343941312002) is 1182956261002813440000
- 34394131200 cubed (343941312003) is 40686752844792209024483328000000
-
The
square root of 34394131200 is 185456.5480105785 -
The
cube root of 34394131200 is 3252.0817022329
Scales and comparisons
How big is 34394131200?- 34,394,131,200 seconds is equal to 1,093 years, 32 weeks, 4 days, 5 hours, 20 minutes.
-
To count from 1 to 34,394,131,200 would take you about two thousand, one hundred eighty-seven 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 34394131200 cubic inches would be around 271 feet tall.
Recreational maths with 34394131200
- 34394131200 backwards is 00213149343
- 34394131200 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 34394131200's digits is 30
- More coming soon!
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