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444346625140 = 225113136452899
BaseRepresentation
bin1100111011101010001…
…11110110110001110100
31120110221021120100020121
412131311013312301310
524240010214001030
6540044030141324
744050215665215
oct6356507666164
91513837510217
10444346625140
111614a00a4220
127214a951844
1332b95086332
1417713b5340c
15b859cc447a
hex67751f6c74

444346625140 has 48 divisors (see below), whose sum is σ = 1021210142400. Its totient is φ = 161064334080.

The previous prime is 444346625123. The next prime is 444346625161. The reversal of 444346625140 is 41526643444.

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 15 ways as a sum of consecutive naturals, for example, 3157590 + ... + 3295309.

It is an arithmetic number, because the mean of its divisors is an integer number (21275211300).

Almost surely, 2444346625140 is an apocalyptic number.

It is an amenable number.

444346625140 is an abundant number, since it is smaller than the sum of its proper divisors (576863517260).

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

444346625140 is a wasteful number, since it uses less digits than its factorization.

444346625140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6453232 (or 6453230 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 43.

The spelling of 444346625140 in words is "four hundred forty-four billion, three hundred forty-six million, six hundred twenty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 313 626 1252 1565 3130 3443 6260 6886 13772 17215 34430 68860 6452899 12905798 25811596 32264495 64528990 70981889 129057980 141963778 283927556 354909445 709818890 1419637780 2019757387 4039514774 8079029548 10098786935 20197573870 22217331257 40395147740 44434662514 88869325028 111086656285 222173312570 444346625140