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420132511422315 = 325234049691002361
BaseRepresentation
bin101111110000110111011100…
…1000110100001011101101011
32001002120021110002100100011200
41133201232321012201131223
5420031422340411003230
64045314113344455243
7154331400201322446
oct13741567106413553
92032507402310150
10420132511422315
1111195a21995859a
123b1545b401a523
1315057430b04803
1475a674471665d
15338892655d160
hex17e1bb91a176b

420132511422315 has 48 divisors (see below), whose sum is σ = 759894481270080. Its totient is φ = 214327726525440.

The previous prime is 420132511422311. The next prime is 420132511422367. The reversal of 420132511422315 is 513224115231024.

420132511422315 is a `hidden beast` number, since 4 + 2 + 0 + 1 + 325 + 1 + 14 + 2 + 2 + 315 = 666.

It is not a de Polignac number, because 420132511422315 - 22 = 420132511422311 is a prime.

It is a super-2 number, since 2×4201325114223152 (a number of 30 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 420132511422315.

It is not an unprimeable number, because it can be changed into a prime (420132511422311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 418641735 + ... + 419644095.

It is an arithmetic number, because the mean of its divisors is an integer number (15831135026460).

Almost surely, 2420132511422315 is an apocalyptic number.

420132511422315 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

420132511422315 is a deficient number, since it is larger than the sum of its proper divisors (339761969847765).

420132511422315 is a wasteful number, since it uses less digits than its factorization.

420132511422315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1407364 (or 1407361 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 420132511422315 its reverse (513224115231024), we get a palindrome (933356626653339).

The spelling of 420132511422315 in words is "four hundred twenty trillion, one hundred thirty-two billion, five hundred eleven million, four hundred twenty-two thousand, three hundred fifteen".

Divisors: 1 3 5 9 15 23 45 69 115 207 345 1035 404969 1002361 1214907 2024845 3007083 3644721 5011805 6074535 9021249 9314287 15035415 18223605 23054303 27942861 45106245 46571435 69162909 83828583 115271515 139714305 207488727 345814545 419142915 1037443635 405925131809 1217775395427 2029625659045 3653326186281 6088876977135 9336278031607 18266630931405 28008834094821 46681390158035 84026502284463 140044170474105 420132511422315