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444404000446 = 271959127222967
BaseRepresentation
bin1100111011110001000…
…10101110011010111110
31120111002021112022100221
412131320202232122332
524240114411003241
6540053440011554
744051513451160
oct6357042563276
91514067468327
10444404000446
1116151a52212a
1272166000bba
1332ba3c24713
141771b60a930
15b85ed595d1
hex67788ae6be

444404000446 has 64 divisors (see below), whose sum is σ = 821949235200. Its totient is φ = 175979037024.

The previous prime is 444404000437. The next prime is 444404000471. The reversal of 444404000446 is 644000404444.

It is a super-2 number, since 2×4444040004462 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1881655 + ... + 2104621.

It is an arithmetic number, because the mean of its divisors is an integer number (12842956800).

Almost surely, 2444404000446 is an apocalyptic number.

444404000446 is a deficient number, since it is larger than the sum of its proper divisors (377545234754).

444404000446 is a wasteful number, since it uses less digits than its factorization.

444404000446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223181.

The product of its (nonzero) digits is 98304, while the sum is 34.

The spelling of 444404000446 in words is "four hundred forty-four billion, four hundred four million, four hundred forty-six", and thus it is an aban number.

Divisors: 1 2 7 14 19 38 59 118 127 133 254 266 413 826 889 1121 1778 2242 2413 4826 7493 7847 14986 15694 16891 33782 52451 104902 142367 222967 284734 445934 996569 1560769 1993138 3121538 4236373 8472746 13155053 26310106 28316809 29654611 56633618 59309222 92085371 184170742 198217663 249946007 396435326 499892014 538019371 1076038742 1670691731 1749622049 3341383462 3499244098 3766135597 7532271194 11694842117 23389684234 31743142889 63486285778 222202000223 444404000446