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934040440404 = 223231781847217
BaseRepresentation
bin11011001011110010010…
…01100000111001010100
310022021220212212121212100
431211321021200321110
5110300403323043104
61553031532122100
7124324251514011
oct15457111407124
93267825777770
10934040440404
11330140529575
12131034306330
136a105c61a36
14332ca2b0708
151946ac18139
hexd979260e54

934040440404 has 36 divisors (see below), whose sum is σ = 2368494794484. Its totient is φ = 310364643072.

The previous prime is 934040440337. The next prime is 934040440429. The reversal of 934040440404 is 404044040439.

It can be written as a sum of positive squares in 2 ways, for example, as 54008830404 + 880031610000 = 232398^2 + 938100^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (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, 40912197 + ... + 40935020.

It is an arithmetic number, because the mean of its divisors is an integer number (65791522069).

Almost surely, 2934040440404 is an apocalyptic number.

It is an amenable number.

934040440404 is an abundant number, since it is smaller than the sum of its proper divisors (1434454354080).

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

934040440404 is a wasteful number, since it uses less digits than its factorization.

934040440404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81847544 (or 81847539 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 934040440404 in words is "nine hundred thirty-four billion, forty million, four hundred forty thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 317 634 951 1268 1902 2853 3804 5706 11412 81847217 163694434 245541651 327388868 491083302 736624953 982166604 1473249906 2946499812 25945567789 51891135578 77836703367 103782271156 155673406734 233510110101 311346813468 467020220202 934040440404