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444400403999 = 532389406699
BaseRepresentation
bin1100111011110000101…
…01000000011000011111
31120111002000202120222012
412131320111000120133
524240113000411444
6540053230541435
744051441051666
oct6357025003037
91514060676865
10444400403999
11161518496062
127216496787b
1332ba3265746
141771ad51ddd
15b85e898b9e
hex677854061f

444400403999 has 12 divisors (see below), whose sum is σ = 454109019000. Its totient is φ = 434893558944.

The previous prime is 444400403977. The next prime is 444400404001. The reversal of 444400403999 is 999304004444.

It is not a de Polignac number, because 444400403999 - 220 = 444399355423 is a prime.

It is a super-3 number, since 3×4444004039993 (a number of 36 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444400403299) 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 11 ways as a sum of consecutive naturals, for example, 889352 + ... + 1296050.

It is an arithmetic number, because the mean of its divisors is an integer number (37842418250).

Almost surely, 2444400403999 is an apocalyptic number.

444400403999 is a deficient number, since it is larger than the sum of its proper divisors (9708615001).

444400403999 is an equidigital number, since it uses as much as digits as its factorization.

444400403999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407194 (or 407141 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 50.

The spelling of 444400403999 in words is "four hundred forty-four billion, four hundred million, four hundred three thousand, nine hundred ninety-nine".

Divisors: 1 53 389 2809 20617 406699 1092701 21555047 158205911 1142417491 8384913283 444400403999