268813187438400
268,813,187,438,400 is an even composite number composed of five prime numbers multiplied together.
268813187438400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, five hundred twenty divisors.
Prime factorization of 268813187438400:
26 × 39 × 52 × 115 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 11 × 11 × 11 × 11 × 11 × 53)See below for interesting mathematical facts about the number 268813187438400 from the Numbermatics database.
Names of 268813187438400
- Cardinal: 268813187438400 can be written as Two hundred sixty-eight trillion, eight hundred thirteen billion, one hundred eighty-seven million, four hundred thirty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 2.688131874384 × 1014
Factors of 268813187438400
Divisors of 268813187438400
- Number of divisors d(n): 2520
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 32 33 36 40 44 45 48 50 53 54 55 60 64 66 72 75 80 81 88 90 96 99 100 106 108 110 120 121 132 135 144 150 159 160 162 165 176 180 192 198 200 212 216 220 225 240 242 243 264 265 270 275 288 297 300 318 320 324 330 352 360 363 396 400 405 424 432 440 450 477 480 484 486 495 528 530 540 550 576 583 594 600 605 636 648 660 675 704 720 726 729 792 795 800 810 825 848 864 880 891 900 954 960 968 972 990 1056 1060 1080 1089 1100 1166 1188 1200 1210 1215 1272 1296 1320 1325 1331 1350 1431 1440 1452 1458 1485 1584 1590 1600 1620 1650 1696 1728 1749 1760 1782 1800 1815 1908 1936 1944 1980 2025 2112 2120 2160 2178 2187 2200 2332 2376 2385 2400 2420 2430 2475 2544 2592 2640 2650 2662 2673 2700 2862 2880 2904 2915 2916 2970 3025 3168 3180 3240 3267 3300 3392 3498 3520 3564 3600 3630 3645 3816 3872 3888 3960 3975 3993 4050 4240 4293 4320 4356 4374 4400 4455 4664 4752 4770 4800 4840 4860 4950 5088 5184 5247 5280 5300 5324 5346 5400 5445 5724 5808 5830 5832 5940 6050 6075 6336 6360 6413 6480 6534 6561 6600 6655 6996 7128 7155 7200 7260 7290 7425 7632 7744 7776 7920 7950 7986 8019 8100 8480 8586 8640 8712 8745 8748 8800 8910 9075 9328 9504 9540 9680 9720 9801 9900 10176 10494 10560 10600 10648 10692 10800 10890 10935 11448 11616 11660 11664 11880 11925 11979 12100 12150 12720 12826 12879 12960 13068 13122 13200 13310 13365 13992 14256 14310 14400 14520 14575 14580 14641 14850 15264 15552 15741 15840 15900 15972 16038 16200 16335 16960 17172 17424 17490 17496 17600 17820 18150 18225 18656 19008 19080 19239 19360 19440 19602 19683 19800 19965 20988 21200 21296 21384 21465 21600 21780 21870 22275 22896 23232 23320 23328 23760 23850 23958 24057 24200 24300 25440 25652 25758 25920 26136 26235 26244 26400 26620 26730 27225 27984 28512 28620 29040 29150 29160 29282 29403 29700 30528 31482 31680 31800 31944 32065 32076 32400 32670 32805 33275 34344 34848 34980 34992 35640 35775 35937 36300 36450 37312 38160 38478 38637 38720 38880 39204 39366 39600 39930 40095 41976 42400 42592 42768 42930 43200 43560 43725 43740 43923 44550 45792 46640 46656 47223 47520 47700 47916 48114 48400 48600 49005 50880 51304 51516 52272 52470 52488 52800 53240 53460 54450 54675 55968 57024 57240 57717 58080 58300 58320 58564 58806 59400 59895 62964 63600 63888 64130 64152 64395 64800 65340 65610 66550 66825 68688 69696 69960 69984 70543 71280 71550 71874 72171 72600 72900 73205 76320 76956 77274 77760 78408 78705 78732 79200 79860 80190 81675 83952 84800 85184 85536 85860 87120 87450 87480 87846 88209 89100 91584 93280 94446 95040 95400 95832 96195 96228 96800 97200 98010 98415 99825 102608 103032 104544 104940 104976 106480 106920 107325 107811 108900 109350 111936 114480 115434 115911 116160 116600 116640 117128 117612 118800 119790 120285 125928 127200 127776 128260 128304 128790 129600 130680 131175 131220 131769 133100 133650 137376 139920 139968 141086 141669 142560 143100 143748 144342 145200 145800 146410 147015 152640 153912 154548 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1014389386560 1018231770600 1106227108800 1110798295200 1120054947660 1194725277504 1221878124720 1244505497400 1267986733200 1344065937192 1357642360800 1400068684575 1493406596880 1527347655900 1629170832960 1659340663200 1680082421490 1690648977600 1792087916256 1866758246100 1991208795840 2036463541200 2221596590400 2240109895320 2443756249440 2489010994800 2535973466400 2688131874384 2715284721600 2800137369150 2986813193760 3054695311800 3318681326400 3360164842980 3584175832512 3733516492200 4072927082400 4200206053725 4480219790640 4887512498880 4978021989600 5071946932800 5376263748768 5600274738300 5973626387520 6109390623600 6720329685960 7467032984400 8145854164800 8400412107450 8960439581280 9956043979200 10752527497536 11200549476600 12218781247200 13440659371920 14934065968800 16800824214900 17920879162560 22401098953200 24437562494400 26881318743840 29868131937600 33601648429800 44802197906400 53762637487680 67203296859600 89604395812800 134406593719200 268813187438400
- Sum of all divisors σ(n): 1111962745266912
- Sum of proper divisors (its aliquot sum) s(n): 843149557828512
- 268813187438400 is an abundant number, because the sum of its proper divisors (843149557828512) is greater than itself. Its abundance is 574336370390112
Bases of 268813187438400
- Binary: 1111010001111011111100101000110001010111010000002
- Hexadecimal: 0xF47BF28C5740
- Base-36: 2NAB2N9000
Squares and roots of 268813187438400
- 268813187438400 squared (2688131874384002) is 72260529740792371553794560000
- 268813187438400 cubed (2688131874384003) is 19424583325609697541027033306046255104000000
-
The
square root of 268813187438400 is 16395523.3962932699 -
The
cube root of 268813187438400 is 64538.2012300165
Scales and comparisons
How big is 268813187438400?- 268,813,187,438,400 seconds is equal to 8,547,427 years, 45 weeks, 12 hours.
-
To count from 1 to 268,813,187,438,400 would take you about twenty-one million, three hundred sixty-eight thousand, five hundred sixty-nine 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 268813187438400 cubic inches would be around 5378.2 feet tall.
Recreational maths with 268813187438400
- 268813187438400 backwards is 004834781318862
- The number of decimal digits it has is: 15
- The sum of 268813187438400's digits is 63
- More coming soon!
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"Number 268813187438400 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
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Numbermatics. (2024). Number 268813187438400 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/268813187438400/
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The information we have on file for 268813187438400 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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