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540344425905 = 3354798356057
BaseRepresentation
bin1111101110011110000…
…10011001110110110001
31220122201112100220021000
413313033002121312301
532323111133112110
61052121504152213
754016144560324
oct7671702316661
91818645326230
10540344425905
11199182383849
1288880308669
133bc5368433b
141c21d44a7bb
15e0c79a21c0
hex7dcf099db1

540344425905 has 32 divisors (see below), whose sum is σ = 962617881600. Its totient is φ = 287582023296.

The previous prime is 540344425883. The next prime is 540344425921. The reversal of 540344425905 is 509524443045.

540344425905 is a `hidden beast` number, since 54 + 0 + 3 + 4 + 4 + 4 + 2 + 590 + 5 = 666.

It is not a de Polignac number, because 540344425905 - 224 = 540327648689 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4113364 + ... + 4242693.

It is an arithmetic number, because the mean of its divisors is an integer number (30081808800).

Almost surely, 2540344425905 is an apocalyptic number.

It is an amenable number.

540344425905 is a deficient number, since it is larger than the sum of its proper divisors (422273455695).

540344425905 is a wasteful number, since it uses less digits than its factorization.

540344425905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8356550 (or 8356544 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 540344425905 in words is "five hundred forty billion, three hundred forty-four million, four hundred twenty-five thousand, nine hundred five".

Divisors: 1 3 5 9 15 27 45 135 479 1437 2395 4311 7185 12933 21555 64665 8356057 25068171 41780285 75204513 125340855 225613539 376022565 1128067695 4002551303 12007653909 20012756515 36022961727 60038269545 108068885181 180114808635 540344425905