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425434101434524 = 227131474779255103
BaseRepresentation
bin110000010111011100001100…
…0011111011100100010011100
32001210100002210000021111001001
41200232320120133130202130
5421230303014431401044
64104453421134000044
7155416412430021340
oct14056703037344234
92053302700244031
10425434101434524
11113613653241026
123b86bb8b946024
13153503572442b0
14770b198455620
15342b7b5d182d4
hex182ee187dc89c

425434101434524 has 48 divisors (see below), whose sum is σ = 916381750652928. Its totient is φ = 168292185709248.

The previous prime is 425434101434521. The next prime is 425434101434527.

425434101434524 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (425434101434521) and next prime (425434101434527).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425434101434521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34259644 + ... + 44995459.

It is an arithmetic number, because the mean of its divisors is an integer number (19091286471936).

Almost surely, 2425434101434524 is an apocalyptic number.

It is an amenable number.

425434101434524 is an abundant number, since it is smaller than the sum of its proper divisors (490947649218404).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

425434101434524 is a wasteful number, since it uses less digits than its factorization.

425434101434524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79269874 (or 79269872 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 46.

It can be divided in two parts, 42543410 and 1434524, that added together give a palindrome (43977934).

The spelling of 425434101434524 in words is "four hundred twenty-five trillion, four hundred thirty-four billion, one hundred one million, four hundred thirty-four thousand, five hundred twenty-four".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 364 14747 29494 58988 103229 191711 206458 383422 412916 766844 1341977 2683954 5367908 79255103 158510206 317020412 554785721 1030316339 1109571442 2060632678 2219142884 4121265356 7212214373 14424428746 28848857492 1168775003941 2337550007882 4675100015764 8181425027587 15194075051233 16362850055174 30388150102466 32725700110348 60776300204932 106358525358631 212717050717262 425434101434524