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540427879044 = 2234408412
BaseRepresentation
bin1111101110101000000…
…00110000001010000100
31220122221100101202110000
413313110000300022010
532323244014112134
61052134045001300
754021210115044
oct7672400601204
91818840352400
10540427879044
111992154a3389
12888a4253230
133bc67a533b1
141c22a571724
15e0cee88e99
hex7dd4030284

540427879044 has 45 divisors (see below), whose sum is σ = 1412819820181. Its totient is φ = 180138215520.

The previous prime is 540427879031. The next prime is 540427879081. The reversal of 540427879044 is 440978724045.

The square root of 540427879044 is 735138.

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

540427879044 is a `hidden beast` number, since 54 + 0 + 427 + 87 + 90 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 496830439044 + 43597440000 = 704862^2 + 208800^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 13212064 + ... + 13252904.

Almost surely, 2540427879044 is an apocalyptic number.

540427879044 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

540427879044 is the 735138-th square number.

It is an amenable number.

540427879044 is an abundant number, since it is smaller than the sum of its proper divisors (872391941137).

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

540427879044 is an frugal number, since it uses more digits than its factorization.

540427879044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81698 (or 40846 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 540427879044 in words is "five hundred forty billion, four hundred twenty-seven million, eight hundred seventy-nine thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 40841 81682 122523 163364 245046 367569 490092 735138 1102707 1470276 2205414 3308121 4410828 6616242 13232484 1667987281 3335974562 5003961843 6671949124 10007923686 15011885529 20015847372 30023771058 45035656587 60047542116 90071313174 135106969761 180142626348 270213939522 540427879044