5040110400
5,040,110,400 is an even composite number composed of six prime numbers multiplied together.
5040110400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred four divisors.
Prime factorization of 5040110400:
26 × 3 × 52 × 13 × 372 × 59
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 37 × 37 × 59)See below for interesting mathematical facts about the number 5040110400 from the Numbermatics database.
Names of 5040110400
- Cardinal: 5040110400 can be written as Five billion, forty million, one hundred ten thousand, four hundred.
Scientific notation
- Scientific notation: 5.0401104 × 109
Factors of 5040110400
Divisors of 5040110400
- Number of divisors d(n): 504
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 37 39 40 48 50 52 59 60 64 65 74 75 78 80 96 100 104 111 118 120 130 148 150 156 160 177 185 192 195 200 208 222 236 240 260 295 296 300 312 320 325 354 370 390 400 416 444 472 480 481 520 555 590 592 600 624 650 708 740 767 780 800 832 885 888 925 944 960 962 975 1040 1110 1180 1184 1200 1248 1300 1369 1416 1443 1475 1480 1534 1560 1600 1770 1776 1850 1888 1924 1950 2080 2183 2220 2301 2360 2368 2400 2405 2496 2600 2738 2775 2832 2886 2950 2960 3068 3120 3540 3552 3700 3776 3835 3848 3900 4107 4160 4366 4425 4440 4602 4720 4800 4810 5200 5476 5550 5664 5772 5900 5920 6136 6240 6549 6845 7080 7104 7215 7400 7670 7696 7800 8214 8732 8850 8880 9204 9440 9620 10400 10915 10952 11100 11328 11505 11544 11800 11840 12025 12272 12480 13098 13690 14160 14430 14800 15340 15392 15600 16428 17464 17700 17760 17797 18408 18880 19175 19240 20535 20800 21830 21904 22200 23010 23088 23600 24050 24544 26196 27380 28320 28379 28860 29600 30680 30784 31200 32745 32856 34225 34928 35400 35520 35594 36075 36816 38350 38480 41070 43660 43808 44400 46020 46176 47200 48100 49088 52392 53391 54575 54760 56640 56758 57525 57720 59200 61360 62400 65490 65712 68450 69856 70800 71188 72150 73632 76700 76960 80771 82140 85137 87320 87616 88800 88985 92040 92352 94400 96200 102675 104784 106782 109150 109520 113516 115050 115440 122720 130980 131424 136900 139712 141600 141895 142376 144300 147264 153400 153920 161542 163725 164280 170274 174640 177600 177970 184080 192400 205350 209568 213564 218300 219040 227032 230100 230880 242313 245440 261960 262848 266955 273800 283200 283790 284752 288600 306800 323084 327450 328560 340548 349280 355940 368160 384800 403855 410700 419136 425685 427128 436600 438080 444925 454064 460200 461760 484626 523920 533910 547600 567580 569504 577200 613600 646168 654900 657120 681096 698560 709475 711880 736320 769600 807710 821400 851370 854256 873200 889850 908128 920400 969252 1047840 1050023 1067820 1095200 1135160 1139008 1154400 1211565 1227200 1292336 1309800 1314240 1334775 1362192 1418950 1423760 1615420 1642800 1702740 1708512 1746400 1779700 1816256 1840800 1938504 2019275 2095680 2100046 2128425 2135640 2190400 2270320 2308800 2423130 2584672 2619600 2669550 2724384 2837900 2847520 3150069 3230840 3285600 3405480 3417024 3492800 3559400 3681600 3877008 4038550 4200092 4256850 4271280 4540640 4846260 5169344 5239200 5250115 5339100 5448768 5675800 5695040 6057825 6300138 6461680 6571200 6810960 7118800 7754016 8077100 8400184 8513700 8542560 9081280 9692520 10478400 10500230 10678200 11351600 12115650 12600276 12923360 13621920 14237600 15508032 15750345 16154200 16800368 17027400 17085120 19385040 21000460 21356400 22703200 24231300 25200552 25846720 26250575 27243840 28475200 31500690 32308400 33600736 34054800 38770080 42000920 42712800 45406400 48462600 50401104 52501150 63001380 64616800 67201472 68109600 77540160 78751725 84001840 85425600 96925200 100802208 105002300 126002760 129233600 136219200 157503450 168003680 193850400 201604416 210004600 252005520 315006900 336007360 387700800 420009200 504011040 630013800 840018400 1008022080 1260027600 1680036800 2520055200 5040110400
- Sum of all divisors σ(n): 18612246240
- Sum of proper divisors (its aliquot sum) s(n): 13572135840
- 5040110400 is an abundant number, because the sum of its proper divisors (13572135840) is greater than itself. Its abundance is 8532025440
Bases of 5040110400
- Binary: 1001011000110100111111011010000002
- Hexadecimal: 0x12C69FB40
- Base-36: 2BCR22O
Squares and roots of 5040110400
- 5040110400 squared (50401104002) is 25402712844188160000
- 5040110400 cubed (50401104003) is 128032477194206324772864000000
-
The
square root of 5040110400 is 70993.7349348519 -
The
cube root of 5040110400 is 1714.5362951163
Scales and comparisons
How big is 5040110400?- 5,040,110,400 seconds is equal to 160 years, 13 weeks, 3 days, 14 hours, 40 minutes.
-
To count from 1 to 5,040,110,400 would take you about three hundred twenty 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 5040110400 cubic inches would be around 142.9 feet tall.
Recreational maths with 5040110400
- 5040110400 backwards is 0040110405
- 5040110400 is a
Harshad number . - The number of decimal digits it has is: 10
- The sum of 5040110400's digits is 15
- More coming soon!
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