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14142001454325 = 32527113121132027
BaseRepresentation
bin1100110111001011000011…
…1110010001110011110101
31212001221222101201020200200
43031302300332101303311
53323200304333014300
650024425031031113
72656503656656503
oct315626076216365
955057871636620
1014142001454325
11456265315a008
12170499380b499
137b777b37c234
1436c695813673
15197cec6bd200
hexcdcb0f91cf5

14142001454325 has 144 divisors (see below), whose sum is σ = 26006215352832. Its totient is φ = 7344202320000.

The previous prime is 14142001454311. The next prime is 14142001454333. The reversal of 14142001454325 is 52345410024141.

14142001454325 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 200 + 14 + 5 + 432 + 5 = 666.

It is not a de Polignac number, because 14142001454325 - 24 = 14142001454309 is a prime.

It is a super-2 number, since 2×141420014543252 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14142001454325.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 441548962 + ... + 441580988.

It is an arithmetic number, because the mean of its divisors is an integer number (180598717728).

Almost surely, 214142001454325 is an apocalyptic number.

14142001454325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14142001454325 is a deficient number, since it is larger than the sum of its proper divisors (11864213898507).

14142001454325 is a wasteful number, since it uses less digits than its factorization.

14142001454325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32456 (or 32448 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 14142001454325 its reverse (52345410024141), we get a palindrome (66487411478466).

The spelling of 14142001454325 in words is "fourteen trillion, one hundred forty-two billion, one million, four hundred fifty-four thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 71 75 131 211 213 225 355 393 633 639 655 1055 1065 1179 1775 1899 1965 3165 3195 3275 5275 5325 5895 9301 9495 9825 14981 15825 15975 27641 27903 29475 32027 44943 46505 47475 74905 82923 83709 96081 134829 138205 139515 160135 224715 232525 248769 288243 374525 414615 418545 480405 674145 691025 697575 800675 1123575 1243845 1441215 1962511 2073075 2092725 2273917 2402025 3370725 4195537 5887533 6219225 6757697 6821751 7206075 9812555 11369585 12586611 17662599 20273091 20465253 20977685 29437665 33788485 34108755 37759833 49062775 56847925 60819273 62933055 88312995 101365455 102326265 104888425 147188325 168942425 170543775 188799165 297883127 304096365 314665275 441564975 479796487 506827275 511631325 885258307 893649381 943995825 1439389461 1489415635 1520481825 2398982435 2655774921 2680948143 4318168383 4426291535 4468246905 7196947305 7447078175 7967324763 11994912175 13278874605 13404740715 21590841915 22131457675 22341234525 35984736525 39836623815 62853339797 66394373025 67023703575 107954209575 188560019391 199183119075 314266698985 565680058173 942800096955 1571333494925 2828400290865 4714000484775 14142001454325