2006404446188352
2,006,404,446,188,352 is an even composite number composed of six prime numbers multiplied together.
2006404446188352 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred divisors.
Prime factorization of 2006404446188352:
26 × 3 × 74 × 174 × 31 × 412
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 7 × 7 × 17 × 17 × 17 × 17 × 31 × 41 × 41)See below for interesting mathematical facts about the number 2006404446188352 from the Numbermatics database.
Names of 2006404446188352
- Cardinal: 2006404446188352 can be written as Two quadrillion, six trillion, four hundred four billion, four hundred forty-six million, one hundred eighty-eight thousand, three hundred fifty-two.
Scientific notation
- Scientific notation: 2.006404446188352 × 1015
Factors of 2006404446188352
Divisors of 2006404446188352
- Number of divisors d(n): 2100
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 17 21 24 28 31 32 34 41 42 48 49 51 56 62 64 68 82 84 93 96 98 102 112 119 123 124 136 147 164 168 186 192 196 204 217 224 238 246 248 272 287 289 294 328 336 343 357 372 392 408 434 448 476 492 496 527 544 574 578 588 651 656 672 686 697 714 744 784 816 833 861 867 868 952 984 992 1029 1054 1088 1148 1156 1176 1271 1302 1312 1344 1372 1394 1428 1488 1519 1568 1581 1632 1666 1681 1722 1734 1736 1904 1968 1984 2009 2023 2058 2091 2108 2296 2312 2352 2401 2499 2542 2604 2624 2744 2788 2856 2976 3038 3136 3162 3264 3332 3362 3444 3468 3472 3689 3808 3813 3936 4018 4046 4116 4182 4216 4557 4592 4624 4704 4802 4879 4913 4998 5043 5084 5208 5488 5576 5712 5831 5952 6027 6069 6076 6324 6664 6724 6888 6936 6944 7203 7378 7616 7626 7872 8036 8092 8232 8364 8432 8897 8959 9114 9184 9248 9408 9604 9758 9826 9996 10086 10168 10416 10633 10976 11067 11152 11424 11662 11767 11849 12054 12138 12152 12648 13328 13448 13776 13872 13888 14063 14161 14406 14637 14739 14756 15252 16072 16184 16464 16728 16864 17493 17794 17918 18228 18368 18496 19208 19516 19652 19992 20172 20336 20832 21266 21607 21952 22134 22304 22848 23324 23534 23698 24108 24276 24304 25296 25823 26656 26691 26877 26896 27552 27744 28126 28322 28577 28812 29274 29478 29512 30504 31899 32144 32368 32928 33456 33728 34153 34391 34986 35301 35547 35588 35836 36456 38416 39032 39304 39984 40344 40672 40817 41664 42189 42483 42532 43214 44268 44608 46648 47068 47396 48216 48552 48608 50592 51646 52111 53312 53382 53754 53792 55104 55488 56252 56644 57154 57624 58548 58956 59024 61008 62279 62713 63798 64288 64736 64821 65856 66912 68306 68782 69972 70602 71094 71176 71672 72912 74431 76832 77469 78064 78608 79968 80688 81344 81634 82369 82943 83521 84378 84966 85064 85731 86428 88536 93296 94136 94792 96432 97104 97216 98441 99127 101184 102459 103173 103292 104222 106764 107508 107584 112504 113288 114308 115248 117096 117912 118048 122016 122451 124558 125426 127596 128576 129472 129642 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59011895476128 62700138943386 64722724070592 71657301649584 83600185257848 95543068866112 118023790952256 125400277886772 143314603299168 167200370515696 250800555773544 286629206598336 334400741031392 501601111547088 668801482062784 1003202223094176 2006404446188352
- Sum of all divisors σ(n): 6962038093460608
- Sum of proper divisors (its aliquot sum) s(n): 4955633647272256
- 2006404446188352 is an abundant number, because the sum of its proper divisors (4955633647272256) is greater than itself. Its abundance is 2949229201083904
Bases of 2006404446188352
- Binary: 1110010000011010000011100000100101001110011010000002
- Hexadecimal: 0x720D0704A7340
- Base-36: JR7LH7FL1C
Squares and roots of 2006404446188352
- 2006404446188352 squared (20064044461883522) is 4025658801684387496461460475904
- 2006404446188352 cubed (20064044461883523) is 8077099718536828248301941320240570472741470208
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The
square root of 2006404446188352 is 44792906.2038661653 -
The
cube root of 2006404446188352 is 126126.4466368185
Scales and comparisons
How big is 2006404446188352?- 2,006,404,446,188,352 seconds is equal to 63,797,455 years, 8 weeks, 6 days, 17 hours, 39 minutes, 12 seconds.
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To count from 1 to 2,006,404,446,188,352 would take you about one hundred ninety-one million, three hundred ninety-two thousand, three hundred sixty-five 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 2006404446188352 cubic inches would be around 10510.5 feet tall.
Recreational maths with 2006404446188352
- 2006404446188352 backwards is 2538816444046002
- The number of decimal digits it has is: 16
- The sum of 2006404446188352's digits is 57
- More coming soon!
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The information we have on file for 2006404446188352 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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