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444324413420104 = 23747185219114857
BaseRepresentation
bin110010100000111000101011…
…0110100111011001001001000
32011021012222222022222002121011
41211001301112310323021020
5431214302344313420404
64212555452334453304
7162406244113412560
oct14501612664731110
92137188868862534
10444324413420104
11119636a1a953488
1241a0106b064234
13160c07c6598949
147ba15b8699da0
153657d6e91a604
hex1941c56d3b248

444324413420104 has 64 divisors (see below), whose sum is σ = 972434303285760. Its totient is φ = 186363074964480.

The previous prime is 444324413420099. The next prime is 444324413420171. The reversal of 444324413420104 is 401024314423444.

It is a super-2 number, since 2×4443244134201042 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44189844 + ... + 53304700.

It is an arithmetic number, because the mean of its divisors is an integer number (15194285988840).

Almost surely, 2444324413420104 is an apocalyptic number.

It is an amenable number.

444324413420104 is an abundant number, since it is smaller than the sum of its proper divisors (528109889865656).

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

444324413420104 is a wasteful number, since it uses less digits than its factorization.

444324413420104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9133438 (or 9133434 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 40.

Adding to 444324413420104 its reverse (401024314423444), we get a palindrome (845348727843548).

The spelling of 444324413420104 in words is "four hundred forty-four trillion, three hundred twenty-four billion, four hundred thirteen million, four hundred twenty thousand, one hundred four".

Divisors: 1 2 4 7 8 14 28 47 56 94 188 329 376 658 1316 2632 18521 37042 74084 129647 148168 259294 518588 870487 1037176 1740974 3481948 6093409 6963896 9114857 12186818 18229714 24373636 36459428 48747272 63803999 72918856 127607998 255215996 428398279 510431992 856796558 1713593116 2998787953 3427186232 5997575906 11995151812 23990303624 168816266497 337632532994 675265065988 1181713865479 1350530131976 2363427730958 4726855461916 7934364525359 9453710923832 15868729050718 31737458101436 55540551677513 63474916202872 111081103355026 222162206710052 444324413420104