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444399285920 = 2553457803441
BaseRepresentation
bin1100111011110000100…
…00101111011010100000
31120111001221122210020212
412131320100233122200
524240112204122140
6540053150553252
744051425414202
oct6357020573240
91514057583225
10444399285920
111615178a2027
1272164508828
1332ba2c63865
141771ab40772
15b85e727765
hex677842f6a0

444399285920 has 48 divisors (see below), whose sum is σ = 1050198320808. Its totient is φ = 177708072960.

The previous prime is 444399285901. The next prime is 444399285971. The reversal of 444399285920 is 29582993444.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 366707758096 + 77691527824 = 605564^2 + 278732^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 444399285920.

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, 151400 + ... + 954840.

Almost surely, 2444399285920 is an apocalyptic number.

444399285920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444399285920 is an abundant number, since it is smaller than the sum of its proper divisors (605799034888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

444399285920 is a wasteful number, since it uses less digits than its factorization.

444399285920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806913 (or 806905 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 59.

The spelling of 444399285920 in words is "four hundred forty-four billion, three hundred ninety-nine million, two hundred eighty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 3457 6914 13828 17285 27656 34570 55312 69140 110624 138280 276560 553120 803441 1606882 3213764 4017205 6427528 8034410 12855056 16068820 25710112 32137640 64275280 128550560 2777495537 5554991074 11109982148 13887477685 22219964296 27774955370 44439928592 55549910740 88879857184 111099821480 222199642960 444399285920