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444136631444 = 221159171084989
BaseRepresentation
bin1100111011010001001…
…10110010110010010100
31120110101122102120001022
412131220212302302110
524234042434201234
6540011125220312
744042056035542
oct6355046626224
91513348376038
10444136631444
111613a2605910
12720b0561698
1332b607102cc
14176d3cccd92
15b846643e2e
hex67689b2c94

444136631444 has 24 divisors (see below), whose sum is σ = 862268349600. Its totient is φ = 198458586080.

The previous prime is 444136631413. The next prime is 444136631501.

It is a happy number.

444136631444 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 444136631395 and 444136631404.

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 7 ways as a sum of consecutive naturals, for example, 85539899 + ... + 85545090.

It is an arithmetic number, because the mean of its divisors is an integer number (35927847900).

Almost surely, 2444136631444 is an apocalyptic number.

444136631444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

444136631444 is a deficient number, since it is larger than the sum of its proper divisors (418131718156).

444136631444 is a wasteful number, since it uses less digits than its factorization.

444136631444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171085063 (or 171085061 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 44.

The spelling of 444136631444 in words is "four hundred forty-four billion, one hundred thirty-six million, six hundred thirty-one thousand, four hundred forty-four".

Divisors: 1 2 4 11 22 44 59 118 236 649 1298 2596 171084989 342169978 684339956 1881934879 3763869758 7527739516 10094014351 20188028702 40376057404 111034157861 222068315722 444136631444