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441124064128 = 27112313621667
BaseRepresentation
bin1100110101101010000…
…10110000101110000000
31120011121200202021121001
412122311002300232000
524211410230023003
6534352151341344
743604315451466
oct6326502605600
91504550667531
10441124064128
11160097041460
12715ab681854
13327a05487b7
14174c9b74836
15b71be1b61d
hex66b50b0b80

441124064128 has 64 divisors (see below), whose sum is σ = 1000375297920. Its totient is φ = 191793057280.

The previous prime is 441124064107. The next prime is 441124064131. The reversal of 441124064128 is 821460421144.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6778450 + ... + 6843217.

It is an arithmetic number, because the mean of its divisors is an integer number (15630864030).

Almost surely, 2441124064128 is an apocalyptic number.

It is an amenable number.

441124064128 is an abundant number, since it is smaller than the sum of its proper divisors (559251233792).

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

441124064128 is a wasteful number, since it uses less digits than its factorization.

441124064128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13621715 (or 13621703 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 37.

The spelling of 441124064128 in words is "four hundred forty-one billion, one hundred twenty-four million, sixty-four thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 128 176 184 253 352 368 506 704 736 1012 1408 1472 2024 2944 4048 8096 16192 32384 13621667 27243334 54486668 108973336 149838337 217946672 299676674 313298341 435893344 599353348 626596682 871786688 1198706696 1253193364 1743573376 2397413392 2506386728 3446281751 4794826784 5012773456 6892563502 9589653568 10025546912 13785127004 19179307136 20051093824 27570254008 40102187648 55140508016 110281016032 220562032064 441124064128