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4000431119 = 149223120397
BaseRepresentation
bin1110111001110001…
…1011110000001111
3101022210111221211112
43232130123300033
531143102243434
61500543042235
7201064050326
oct35634336017
911283457745
104000431119
111773159123
129378a037b
134b9a42a09
1429d4270bd
1518630cdce
hexee71bc0f

4000431119 has 8 divisors (see below), whose sum is σ = 4045372800. Its totient is φ = 3955730976.

The previous prime is 4000431091. The next prime is 4000431173. The reversal of 4000431119 is 9111340004.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4000431119 is a prime.

It is a super-2 number, since 2×40004311192 = 32006898275727184322, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4000431094 and 4000431103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000431199) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 26972 + ... + 93425.

It is an arithmetic number, because the mean of its divisors is an integer number (505671600).

Almost surely, 24000431119 is an apocalyptic number.

4000431119 is a deficient number, since it is larger than the sum of its proper divisors (44941681).

4000431119 is a wasteful number, since it uses less digits than its factorization.

4000431119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120769.

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 4000431119 is about 63248.9614064927. The cubic root of 4000431119 is about 1587.4580798156.

The spelling of 4000431119 in words is "four billion, four hundred thirty-one thousand, one hundred nineteen".

Divisors: 1 149 223 33227 120397 17939153 26848531 4000431119