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444347346512 = 24195407270329
BaseRepresentation
bin1100111011101010010…
…10100110111001010000
31120110221022220222210002
412131311022212321100
524240010410042022
6540044053425132
744050225061306
oct6356512467120
91513838828702
10444347346512
111614a05471a3
127214b03b1a8
1332b95279794
1417713ca0276
15b859db8092
hex67752a6e50

444347346512 has 40 divisors (see below), whose sum is σ = 906405676800. Its totient is φ = 210440616192.

The previous prime is 444347346511. The next prime is 444347346529. The reversal of 444347346512 is 215643743444.

It is a super-2 number, since 2×4443473465122 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444347346511) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1508564 + ... + 1778892.

It is an arithmetic number, because the mean of its divisors is an integer number (22660141920).

Almost surely, 2444347346512 is an apocalyptic number.

It is an amenable number.

444347346512 is an abundant number, since it is smaller than the sum of its proper divisors (462058330288).

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

444347346512 is a wasteful number, since it uses less digits than its factorization.

444347346512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275763 (or 275757 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 47.

The spelling of 444347346512 in words is "four hundred forty-four billion, three hundred forty-seven million, three hundred forty-six thousand, five hundred twelve".

Divisors: 1 2 4 8 16 19 38 76 152 304 5407 10814 21628 43256 86512 102733 205466 270329 410932 540658 821864 1081316 1643728 2162632 4325264 5136251 10272502 20545004 41090008 82180016 1461668903 2923337806 5846675612 11693351224 23386702448 27771709157 55543418314 111086836628 222173673256 444347346512