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240945503044 = 2283229572
BaseRepresentation
bin1110000001100101111…
…0001001101101000100
3212000220220110202100011
43200121132021231010
512421424022044134
6302404442200004
723256565661311
oct3403136115504
9760826422304
10240945503044
1193203500714
123a8441b3004
131994b23a69c
14b93a091d08
156402e75264
hex3819789b44

240945503044 has 27 divisors (see below), whose sum is σ = 426940396477. Its totient is φ = 118981021904.

The previous prime is 240945503041. The next prime is 240945503137. The reversal of 240945503044 is 440305549042.

It is a happy number.

The square root of 240945503044 is 490862.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 44795722500 + 196149780544 = 211650^2 + 442888^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 240945502988 and 240945503006.

It is not an unprimeable number, because it can be changed into a prime (240945503041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 81481614 + ... + 81484570.

Almost surely, 2240945503044 is an apocalyptic number.

240945503044 is the 490862-nd square number.

It is an amenable number.

240945503044 is a deficient number, since it is larger than the sum of its proper divisors (185994893433).

240945503044 is an frugal number, since it uses more digits than its factorization.

240945503044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6084 (or 3042 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

The spelling of 240945503044 in words is "two hundred forty billion, nine hundred forty-five million, five hundred three thousand, forty-four".

Divisors: 1 2 4 83 166 332 2957 5914 6889 11828 13778 27556 245431 490862 981724 8743849 17487698 20370773 34975396 40741546 81483092 725739467 1451478934 2902957868 60236375761 120472751522 240945503044