4142507377944320
4,142,507,377,944,320 is an even composite number composed of nine prime numbers multiplied together.
What does the number 4142507377944320 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 2304 divisors.
4142507377944320 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 4142507377944320:
28 × 5 × 7 × 11 × 17 × 29 × 37 × 1103 × 2089
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 11 × 17 × 29 × 37 × 1103 × 2089)See below for interesting mathematical facts about the number 4142507377944320 from the Numbermatics database.
Names of 4142507377944320
- Cardinal: 4142507377944320 can be written as Four quadrillion, one hundred forty-two trillion, five hundred seven billion, three hundred seventy-seven million, nine hundred forty-four thousand, three hundred twenty.
Scientific notation
- Scientific notation: 4.14250737794432 × 1015
Factors of 4142507377944320
Divisors of 4142507377944320
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 17 20 22 28 29 32 34 35 37 40 44 55 56 58 64 68 70 74 77 80 85 88 110 112 116 119 128 136 140 145 148 154 160 170 176 185 187 203 220 224 232 238 256 259 272 280 290 296 308 319 320 340 352 370 374 385 406 407 440 448 464 476 493 518 544 560 580 592 595 616 629 638 640 680 704 740 748 770 812 814 880 896 928 935 952 986 1015 1036 1073 1088 1103 1120 1160 1184 1190 1232 1258 1276 1280 1295 1309 1360 1408 1480 1496 1540 1595 1624 1628 1760 1792 1856 1870 1904 1972 2030 2035 2072 2089 2146 2176 2206 2233 2240 2320 2368 2380 2464 2465 2516 2552 2590 2618 2720 2816 2849 2960 2992 3080 3145 3190 3248 3256 3451 3520 3712 3740 3808 3944 4060 4070 4144 4178 4292 4352 4403 4412 4466 4480 4640 4736 4760 4928 4930 5032 5104 5180 5236 5365 5423 5440 5515 5698 5920 5984 6160 6290 6380 6496 6512 6545 6902 6919 7040 7424 7480 7511 7616 7721 7888 8120 8140 8288 8356 8584 8806 8824 8932 8960 9280 9472 9520 9856 9860 10064 10208 10360 10445 10472 10730 10846 10880 11030 11165 11396 11803 11840 11968 12133 12320 12580 12760 12992 13024 13090 13804 13838 14080 14245 14623 14960 15022 15232 15442 15776 16240 16280 16576 16712 17168 17255 17612 17648 17864 18241 18560 18751 19040 19712 19720 20128 20416 20720 20890 20944 21460 21692 21760 22015 22060 22330 22792 22979 23606 23680 23936 24266 24640 25160 25520 25984 26048 26180 27115 27608 27676 28490 29246 29920 30044 30464 30884 31552 31987 32480 32560 33152 33424 34336 34510 34595 35224 35296 35513 35728 36482 37120 37502 37555 37961 38080 38605 39440 40256 40811 40832 41440 41780 41888 42920 43384 44030 44120 44660 45584 45958 47212 47360 47872 48433 48532 49280 50320 51040 51968 52096 52360 54230 55216 55352 56980 58492 59015 59840 60088 60581 60665 61768 63104 63974 64960 65120 66304 66848 68672 69020 69190 70448 70592 71026 71456 72964 73115 75004 75110 75922 76160 77210 77293 78880 80512 81622 81664 82621 82880 83560 83776 84931 85840 86768 88060 88240 89320 91168 91205 91916 93755 94424 96866 97064 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3807451634140 3860677891840 3998559245120 4081288057088 4201325941120 4351373296160 4430489174272 4463908812440 4623334127170 4707394747664 5089075402880 5101610071360 5379879711616 5538111467840 5597982943168 5884243434580 6091922614624 6472667778038 6492958272640 6585862286080 6724849639520 6962197273856 6997478678960 7142254099904 7397334603472 7614903268280 7997118490240 8402651882240 8702746592320 8927817624880 9246668254340 9414789495328 10178150805760 10203220142720 10759759423232 11076222935680 11195965886336 11768486869160 12183845229248 12945335556076 12985916545280 13449699279040 13994957357920 14284508199808 14794669206944 15229806536560 15994236980480 16181669445095 17405493184640 17855635249760 18493336508680 18829578990656 20406440285440 22152445871360 22391931772672 23536973738320 24367690458496 25890671112152 26899398558080 27989914715840 28569016399616 29589338413888 30459613073120 32363338890190 34810986369280 35711270499520 36986673017360 37659157981312 47073947476640 48735380916992 51781342224304 53798797116160 55979829431680 59178676827776 60919226146240 64726677780380 71422540999040 73973346034720 75318315962624 94147894953280 103562684448608 111959658863360 118357353655552 121838452292480 129453355560760 142845081998080 147946692069440 188295789906560 207125368897216 243676904584960 258906711121520 295893384138880 376591579813120 414250737794432 517813422243040 591786768277760 828501475588864 1035626844486080 2071253688972160 4142507377944320
- Sum of all divisors σ(n): 13935934597939200
- Sum of proper divisors (its aliquot sum) s(n): 9793427219994880
- 4142507377944320 is an abundant number, because the sum of its proper divisors (9793427219994880) is greater than itself. Its abundance is 5650919842050560
Bases of 4142507377944320
- Binary: 11101011011110010110101010001011110111100111000000002
- Hexadecimal: 0xEB796A8BDE700
- Base-36: 14SE9M8GGE8
Squares and roots of 4142507377944320
- 4142507377944320 squared (41425073779443202) is 17160367376323125262389020262400
- 4142507377944320 cubed (41425073779443203) is 71086948464653559655951030728573675338989568000
-
The
square root of 4142507377944320 is 64362313.3358669761 -
The
cube root of 4142507377944320 is 160603.2872361943
Scales and comparisons
How big is 4142507377944320?- 4,142,507,377,944,320 seconds is equal to 131,718,921 years, 17 hours, 25 minutes, 20 seconds.
-
To count from 1 to 4,142,507,377,944,320 would take you about three hundred ninety-five million, one hundred fifty-six thousand, seven hundred sixty-three 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 4142507377944320 cubic inches would be around 13383.6 feet tall.
Recreational maths with 4142507377944320
- 4142507377944320 backwards is 0234497737052414
- The number of decimal digits it has is: 16
- The sum of 4142507377944320's digits is 62
- More coming soon!
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"Number 4142507377944320 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
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Numbermatics. (2024). Number 4142507377944320 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/4142507377944320/
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The information we have on file for 4142507377944320 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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