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4400009457 = 323336118973
BaseRepresentation
bin1000001100100001…
…01101000011110001
3102100122101122021020
410012100231003301
533002400300312
62004335250053
7214015314624
oct40620550361
912318348236
104400009457
111958766258
12a29679929
135517673bc
142da51bdbb
151ab43b78c
hex10642d0f1

4400009457 has 16 divisors (see below), whose sum is σ = 6123896448. Its totient is φ = 2804820480.

The previous prime is 4400009447. The next prime is 4400009489. The reversal of 4400009457 is 7549000044.

It is a happy number.

4400009457 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4400009457 - 27 = 4400009329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4400009407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222423 + ... + 241395.

It is an arithmetic number, because the mean of its divisors is an integer number (382743528).

Almost surely, 24400009457 is an apocalyptic number.

It is an amenable number.

4400009457 is a deficient number, since it is larger than the sum of its proper divisors (1723886991).

4400009457 is a wasteful number, since it uses less digits than its factorization.

4400009457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22360.

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 4400009457 is about 66332.5670918893. The cubic root of 4400009457 is about 1638.6437151885.

The spelling of 4400009457 in words is "four billion, four hundred million, nine thousand, four hundred fifty-seven".

Divisors: 1 3 23 69 3361 10083 18973 56919 77303 231909 436379 1309137 63768253 191304759 1466669819 4400009457