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45140541156 = 22321253903921
BaseRepresentation
bin101010000010100101…
…011111111011100100
311022111220220002021200
4222002211133323210
51214421434304111
632423130242500
73155424161154
oct520245377344
9138456802250
1045140541156
1118164727767
1288b9586430
13434507a8a9
1422831b4764
151292e50256
hexa8295fee4

45140541156 has 18 divisors (see below), whose sum is σ = 114105256902. Its totient is φ = 15046847040.

The previous prime is 45140541113. The next prime is 45140541157. The reversal of 45140541156 is 65114504154.

45140541156 is a `hidden beast` number, since 451 + 4 + 0 + 54 + 1 + 156 = 666.

It can be written as a sum of positive squares in only one way, i.e., 36953910756 + 8186630400 = 192234^2 + 90480^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1253903921 = 45140541156 / (4 + 5 + 1 + 4 + 0 + 5 + 4 + 1 + 1 + 5 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 45140541156.

It is not an unprimeable number, because it can be changed into a prime (45140541157) 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 5 ways as a sum of consecutive naturals, for example, 626951925 + ... + 626951996.

It is an arithmetic number, because the mean of its divisors is an integer number (6339180939).

Almost surely, 245140541156 is an apocalyptic number.

It is an amenable number.

45140541156 is an abundant number, since it is smaller than the sum of its proper divisors (68964715746).

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

45140541156 is a wasteful number, since it uses less digits than its factorization.

45140541156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253903931 (or 1253903926 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 45140541156 in words is "forty-five billion, one hundred forty million, five hundred forty-one thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 1253903921 2507807842 3761711763 5015615684 7523423526 11285135289 15046847052 22570270578 45140541156