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45040020444 = 22324130514919
BaseRepresentation
bin101001111100100110…
…000010101111011100
311022020220202002210100
4221330212002233130
51214220221123234
632405135541100
73153063566646
oct517446025734
9138226662710
1045040020444
1118112a0aaa1
12888b98a790
13432a2b4093
142273ac9896
1512891e6399
hexa7c982bdc

45040020444 has 36 divisors (see below), whose sum is σ = 116628024240. Its totient is φ = 14647160640.

The previous prime is 45040020433. The next prime is 45040020463. The reversal of 45040020444 is 44402004054.

It is a happy number.

45040020444 is a `hidden beast` number, since 4 + 50 + 400 + 204 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 15255984 + ... + 15258935.

It is an arithmetic number, because the mean of its divisors is an integer number (3239667340).

Almost surely, 245040020444 is an apocalyptic number.

It is an amenable number.

45040020444 is an abundant number, since it is smaller than the sum of its proper divisors (71588003796).

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

45040020444 is a wasteful number, since it uses less digits than its factorization.

45040020444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30514970 (or 30514965 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

Adding to 45040020444 its reverse (44402004054), we get a palindrome (89442024498).

The spelling of 45040020444 in words is "forty-five billion, forty million, twenty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 30514919 61029838 91544757 122059676 183089514 274634271 366179028 549268542 1098537084 1251111679 2502223358 3753335037 5004446716 7506670074 11260005111 15013340148 22520010222 45040020444