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556414114131 = 354789547399
BaseRepresentation
bin10000001100011001101…
…11011001100101010011
31222012012110022122100000
420012030313121211103
533104014003123011
61103340233301043
755125313635321
oct10061467314523
91865173278300
10556414114131
111a4a79297417
128ba05b64783
13406149ca1b5
141cd0575cd11
15e718661356
hex818cdd9953

556414114131 has 48 divisors (see below), whose sum is σ = 860775552000. Its totient is φ = 358970470848.

The previous prime is 556414114129. The next prime is 556414114159. The reversal of 556414114131 is 131411414655.

556414114131 is a `hidden beast` number, since 5 + 5 + 641 + 4 + 1 + 1 + 4 + 1 + 3 + 1 = 666.

It is not a de Polignac number, because 556414114131 - 21 = 556414114129 is a prime.

It is a super-2 number, since 2×5564141141312 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (556414114111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 742770 + ... + 1290168.

It is an arithmetic number, because the mean of its divisors is an integer number (17932824000).

Almost surely, 2556414114131 is an apocalyptic number.

556414114131 is a deficient number, since it is larger than the sum of its proper divisors (304361437869).

556414114131 is an equidigital number, since it uses as much as digits as its factorization.

556414114131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547550 (or 547538 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

Adding to 556414114131 its reverse (131411414655), we get a palindrome (687825528786).

The spelling of 556414114131 in words is "five hundred fifty-six billion, four hundred fourteen million, one hundred fourteen thousand, one hundred thirty-one".

Divisors: 1 3 9 27 47 81 89 141 243 267 423 801 1269 2403 3807 4183 7209 11421 12549 21627 37647 112941 338823 547399 1016469 1642197 4926591 14779773 25727753 44339319 48718511 77183259 133017957 146155533 231549777 438466599 694649331 1315399797 2083947993 2289770017 3946199391 6251843979 6869310051 11838598173 20607930153 61823790459 185471371377 556414114131