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45031431141 = 3331122343991
BaseRepresentation
bin101001111100000101…
…010001101111100101
311022020022120201111000
4221330011101233211
51214211021244031
632404231503513
73152630564154
oct517405215745
9138208521430
1045031431141
11181090837a4
128888b27b99
134328597658
1422728d159b
15128859b3e6
hexa7c151be5

45031431141 has 32 divisors (see below), whose sum is σ = 68923146240. Its totient is φ = 29028121200.

The previous prime is 45031431113. The next prime is 45031431167. The reversal of 45031431141 is 14113413054.

45031431141 is a `hidden beast` number, since 4 + 503 + 1 + 43 + 114 + 1 = 666.

It is not a de Polignac number, because 45031431141 - 27 = 45031431013 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45031431191) 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 31 ways as a sum of consecutive naturals, for example, 1001656 + ... + 1045646.

It is an arithmetic number, because the mean of its divisors is an integer number (2153848320).

Almost surely, 245031431141 is an apocalyptic number.

It is an amenable number.

45031431141 is a deficient number, since it is larger than the sum of its proper divisors (23891715099).

45031431141 is a wasteful number, since it uses less digits than its factorization.

45031431141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45254 (or 45248 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 45031431141 its reverse (14113413054), we get a palindrome (59144844195).

The spelling of 45031431141 in words is "forty-five billion, thirty-one million, four hundred thirty-one thousand, one hundred forty-one".

Divisors: 1 3 9 27 31 93 279 837 1223 3669 11007 33021 37913 43991 113739 131973 341217 395919 1023651 1187757 1363721 4091163 12273489 36820467 53800993 161402979 484208937 1452626811 1667830783 5003492349 15010477047 45031431141