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444103319 = 117926469
BaseRepresentation
bin11010011110000…
…111101010010111
31010221122210020002
4122132013222113
51402142301234
6112022401515
714001546602
oct3236075227
91127583202
10444103319
11208759440
1210489029b
1371013a3a
1442da5339
1528ec627e
hex1a787a97

444103319 has 12 divisors (see below), whose sum is σ = 490762440. Its totient is φ = 398558160.

The previous prime is 444103279. The next prime is 444103327. The reversal of 444103319 is 913301444.

It is not a de Polignac number, because 444103319 - 28 = 444103063 is a prime.

It is a super-2 number, since 2×4441033192 = 394455515893631522, 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 = 444103291 and 444103300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444103339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65417 + ... + 71885.

It is an arithmetic number, because the mean of its divisors is an integer number (40896870).

Almost surely, 2444103319 is an apocalyptic number.

444103319 is a deficient number, since it is larger than the sum of its proper divisors (46659121).

444103319 is an equidigital number, since it uses as much as digits as its factorization.

444103319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6638 (or 6559 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 444103319 is about 21073.7590144711. The cubic root of 444103319 is about 762.9475328178.

The spelling of 444103319 in words is "four hundred forty-four million, one hundred three thousand, three hundred nineteen".

Divisors: 1 11 79 869 6241 6469 68651 71159 511051 5621561 40373029 444103319