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441092616426 = 232711839379319
BaseRepresentation
bin1100110101100110010…
…10110011000011101010
31120011112111120120110100
412122303022303003222
524211324202211201
6534345105330230
743603454243310
oct6326312630352
91504474516410
10441092616426
11160080312320
12715a1036976
1332796b878a7
14174c590a0b0
15b7192a8886
hex66b32b30ea

441092616426 has 96 divisors (see below), whose sum is σ = 1192946227200. Its totient is φ = 114432654240.

The previous prime is 441092616421. The next prime is 441092616491. The reversal of 441092616426 is 624616290144.

441092616426 is a `hidden beast` number, since 4 + 4 + 1 + 0 + 9 + 2 + 616 + 4 + 26 = 666.

It is not an unprimeable number, because it can be changed into a prime (441092616421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 973195 + ... + 1352513.

It is an arithmetic number, because the mean of its divisors is an integer number (12426523200).

Almost surely, 2441092616426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441092616426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596473113600).

441092616426 is an abundant number, since it is smaller than the sum of its proper divisors (751853610774).

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

441092616426 is a wasteful number, since it uses less digits than its factorization.

441092616426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380184 (or 380181 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 441092616426 in words is "four hundred forty-one billion, ninety-two million, six hundred sixteen thousand, four hundred twenty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 839 1386 1678 2517 5034 5873 7551 9229 11746 15102 17619 18458 27687 35238 52857 55374 64603 83061 105714 129206 166122 193809 379319 387618 581427 758638 1137957 1162854 2275914 2655233 3413871 4172509 5310466 6827742 7965699 8345018 12517527 15931398 23897097 25035054 29207563 37552581 47794194 58415126 75105162 87622689 175245378 262868067 318248641 525736134 636497282 954745923 1909491846 2227740487 2864237769 3500735051 4455480974 5728475538 6683221461 7001470102 10502205153 13366442922 20049664383 21004410306 24505145357 31506615459 40099328766 49010290714 63013230918 73515436071 147030872142 220546308213 441092616426