2008131166778880
2,008,131,166,778,880 is an even composite number composed of seven prime numbers multiplied together.
What does the number 2008131166778880 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2400 divisors.
2008131166778880 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, four hundred divisors.
Prime factorization of 2008131166778880:
29 × 3 × 5 × 112 × 134 × 29 × 2609
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 11 × 13 × 13 × 13 × 13 × 29 × 2609)See below for interesting mathematical facts about the number 2008131166778880 from the Numbermatics database.
Names of 2008131166778880
- Cardinal: 2008131166778880 can be written as Two quadrillion, eight trillion, one hundred thirty-one billion, one hundred sixty-six million, seven hundred seventy-eight thousand, eight hundred eighty.
Scientific notation
- Scientific notation: 2.00813116677888 × 1015
Factors of 2008131166778880
Divisors of 2008131166778880
- Number of divisors d(n): 2400
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 26 29 30 32 33 39 40 44 48 52 55 58 60 64 65 66 78 80 87 88 96 104 110 116 120 121 128 130 132 143 145 156 160 165 169 174 176 192 195 208 220 232 240 242 256 260 264 286 290 312 319 320 330 338 348 352 363 377 384 390 416 429 435 440 464 480 484 507 512 520 528 572 580 605 624 638 640 660 676 696 704 715 726 754 768 780 832 845 858 870 880 928 957 960 968 1014 1040 1056 1131 1144 1160 1210 1248 1276 1280 1320 1352 1392 1408 1430 1452 1508 1536 1560 1573 1595 1664 1690 1716 1740 1760 1815 1856 1859 1885 1914 1920 1936 2028 2080 2112 2145 2197 2262 2288 2320 2420 2496 2535 2552 2560 2609 2640 2704 2784 2816 2860 2904 3016 3120 3146 3190 3328 3380 3432 3480 3509 3520 3630 3712 3718 3770 3828 3840 3872 4056 4147 4160 4224 4290 4394 4524 4576 4640 4719 4785 4840 4901 4992 5070 5104 5218 5280 5408 5568 5577 5632 5655 5720 5808 6032 6240 6292 6380 6591 6656 6760 6864 6960 7018 7040 7260 7424 7436 7540 7656 7680 7744 7827 7865 8112 8294 8320 8448 8580 8788 9048 9152 9280 9295 9438 9570 9680 9802 9984 10140 10208 10436 10527 10560 10816 10985 11136 11154 11310 11440 11616 12064 12441 12480 12584 12760 13045 13182 13520 13728 13920 14036 14080 14520 14703 14848 14872 15080 15312 15488 15654 15730 16224 16588 16640 16896 17160 17545 17576 18096 18304 18560 18590 18876 19140 19360 19604 19968 20280 20416 20449 20735 20872 21054 21120 21632 21970 22272 22308 22620 22880 23232 23595 24128 24167 24505 24882 24960 25168 25520 26090 26364 27040 27456 27840 27885 28072 28160 28561 28699 29040 29406 29744 30160 30624 30976 31308 31460 32448 32955 33176 33280 33917 34320 35090 35152 36192 36608 37120 37180 37752 38280 38720 39135 39208 40560 40832 40898 41470 41744 42108 42240 43264 43940 44544 44616 45240 45617 45760 46464 47190 48256 48334 49010 49764 49920 50336 51040 52180 52635 52728 53911 54080 54912 55680 55770 56144 57122 57398 58080 58812 59488 60320 61248 61347 61952 62205 62616 62920 63713 64896 65910 66352 67834 68640 70180 70304 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6295082027520 6436317842240 6924590230272 7021437646080 7606557449920 7723581410688 7844262370230 8298062672640 8367213194912 8655737787840 9127868939904 9654476763360 10298108547584 10459016493640 11409836174880 11540983717120 11882432939520 12170491919872 12550819792368 12872635684480 13849180460544 14042875292160 15213114899840 15447162821376 15688524740460 16596125345280 16734426389824 17311475575680 18255737879808 19308953526720 20918032987280 22819672349760 23081967434240 25101639584736 25745271368960 30426229799680 30894325642752 31377049480920 33468852779648 34622951151360 36511475759616 38617907053440 41836065974560 45639344699520 50203279169472 51490542737920 60852459599360 62754098961840 66937705559296 69245902302720 77235814106880 83672131949120 91278689399040 100406558338944 125508197923680 133875411118592 154471628213760 167344263898240 182557378798080 200813116677888 251016395847360 334688527796480 401626233355776 502032791694720 669377055592960 1004065583389440 2008131166778880
- Sum of all divisors σ(n): 7911059014504800
- Sum of proper divisors (its aliquot sum) s(n): 5902927847725920
- 2008131166778880 is an abundant number, because the sum of its proper divisors (5902927847725920) is greater than itself. Its abundance is 3894796680947040
Bases of 2008131166778880
- Binary: 1110010001001100010011110001101101110110110000000002
- Hexadecimal: 0x7226278DBB600
- Base-36: JRTMQ0AFPC
Squares and roots of 2008131166778880
- 2008131166778880 squared (20081311667788802) is 4032590782988705961754814054400
- 2008131166778880 cubed (20081311667788803) is 8097971234184867376864089452667049001091072000
-
The
square root of 2008131166778880 is 44812176.5458773493 -
The
cube root of 2008131166778880 is 126162.6179227335
Scales and comparisons
How big is 2008131166778880?- 2,008,131,166,778,880 seconds is equal to 63,852,359 years, 28 weeks, 2 days, 18 hours, 8 minutes.
-
To count from 1 to 2,008,131,166,778,880 would take you about one hundred ninety-one million, five hundred fifty-seven thousand and seventy-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 2008131166778880 cubic inches would be around 10513.6 feet tall.
Recreational maths with 2008131166778880
- 2008131166778880 backwards is 0888776611318002
- 2008131166778880 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 2008131166778880's digits is 66
- More coming soon!
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"Number 2008131166778880 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
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Numbermatics. (2024). Number 2008131166778880 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/2008131166778880/
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Numbermatics. 2024. "Number 2008131166778880 - Facts about the integer". https://numbermatics.com/n/2008131166778880/
The information we have on file for 2008131166778880 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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