10042806400
10,042,806,400 is an even composite number composed of five prime numbers multiplied together.
10042806400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 10042806400:
27 × 52 × 112 × 37 × 701
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 11 × 37 × 701)See below for interesting mathematical facts about the number 10042806400 from the Numbermatics database.
Names of 10042806400
- Cardinal: 10042806400 can be written as Ten billion, forty-two million, eight hundred six thousand, four hundred.
Scientific notation
- Scientific notation: 1.00428064 × 1010
Factors of 10042806400
Divisors of 10042806400
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 32 37 40 44 50 55 64 74 80 88 100 110 121 128 148 160 176 185 200 220 242 275 296 320 352 370 400 407 440 484 550 592 605 640 701 704 740 800 814 880 925 968 1100 1184 1210 1402 1408 1480 1600 1628 1760 1850 1936 2035 2200 2368 2420 2804 2960 3025 3200 3256 3505 3520 3700 3872 4070 4400 4477 4736 4840 5608 5920 6050 6512 7010 7040 7400 7711 7744 8140 8800 8954 9680 10175 11216 11840 12100 13024 14020 14800 15422 15488 16280 17525 17600 17908 19360 20350 22385 22432 23680 24200 25937 26048 28040 29600 30844 32560 35050 35200 35816 38555 38720 40700 44770 44864 48400 51874 52096 56080 59200 61688 65120 70100 71632 77110 77440 81400 84821 89540 89728 96800 103748 111925 112160 118400 123376 129685 130240 140200 143264 154220 162800 169642 179080 192775 193600 207496 223850 224320 246752 259370 260480 280400 285307 286528 308440 325600 339284 358160 385550 387200 414992 424105 447700 448640 493504 518740 560800 570614 573056 616880 648425 651200 678568 716320 771100 829984 848210 895400 987008 1037480 1121600 1141228 1233760 1296850 1302400 1357136 1426535 1432640 1542200 1659968 1696420 1790800 2074960 2120525 2243200 2282456 2467520 2593700 2714272 2853070 2865280 3084400 3138377 3319936 3392840 3581600 4149920 4241050 4564912 4935040 5187400 5428544 5706140 6168800 6276754 6785680 7132675 7163200 8299840 8482100 9129824 10374800 10857088 11412280 12337600 12553508 13571360 14265350 14326400 15691885 16599680 16964200 18259648 20749600 22824560 24675200 25107016 27142720 28530700 31383770 33928400 36519296 41499200 45649120 50214032 54285440 57061400 62767540 67856800 78459425 82998400 91298240 100428064 114122800 125535080 135713600 156918850 182596480 200856128 228245600 251070160 271427200 313837700 401712256 456491200 502140320 627675400 912982400 1004280640 1255350800 2008561280 2510701600 5021403200 10042806400
- Sum of all divisors σ(n): 28046212740
- Sum of proper divisors (its aliquot sum) s(n): 18003406340
- 10042806400 is an abundant number, because the sum of its proper divisors (18003406340) is greater than itself. Its abundance is 7960599940
Bases of 10042806400
- Binary: 10010101101001100100010000100000002
- Hexadecimal: 0x256991080
- Base-36: 4M3870G
Squares and roots of 10042806400
- 10042806400 squared (100428064002) is 100857960387880960000
- 10042806400 cubed (100428064003) is 1012896970074357387526144000000
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The
square root of 10042806400 is 100213.8034404445 -
The
cube root of 10042806400 is 2157.5044338041
Scales and comparisons
How big is 10042806400?- 10,042,806,400 seconds is equal to 319 years, 17 weeks, 1 day, 4 hours, 26 minutes, 40 seconds.
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To count from 1 to 10,042,806,400 would take you about six hundred thirty-eight 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 10042806400 cubic inches would be around 179.8 feet tall.
Recreational maths with 10042806400
- 10042806400 backwards is 00460824001
- 10042806400 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 10042806400's digits is 25
- More coming soon!
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