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441314510452542 = 232319911787446597
BaseRepresentation
bin110010001010111111000101…
…0101000010011011100111110
32010212120020220000111221111200
41210111332022220103130332
5430320444104133440132
64202333030504200330
7161645630654336106
oct14425761250233476
92125506800457450
10441314510452542
111186864841176a1
12415b58607690a6
1315c32a1a1c342c
147ad9a4449c206
15360490aad3d7c
hex1915f8aa1373e

441314510452542 has 96 divisors (see below), whose sum is σ = 988577099587584. Its totient is φ = 142135965259200.

The previous prime is 441314510452447. The next prime is 441314510452579. The reversal of 441314510452542 is 245254015413144.

441314510452542 is a `hidden beast` number, since 4 + 4 + 1 + 3 + 1 + 4 + 51 + 0 + 4 + 52 + 542 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 987948388 + ... + 988394984.

It is an arithmetic number, because the mean of its divisors is an integer number (10297678120704).

Almost surely, 2441314510452542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441314510452542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494288549793792).

441314510452542 is an abundant number, since it is smaller than the sum of its proper divisors (547262589135042).

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

441314510452542 is a wasteful number, since it uses less digits than its factorization.

441314510452542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449414 (or 449411 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 45.

Adding to 441314510452542 its reverse (245254015413144), we get a palindrome (686568525865686).

The spelling of 441314510452542 in words is "four hundred forty-one trillion, three hundred fourteen billion, five hundred ten million, four hundred fifty-two thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 558 991 1787 1982 2973 3574 5361 5946 8919 10722 16083 17838 30721 32166 55397 61442 92163 110794 166191 184326 276489 332382 446597 498573 552978 893194 997146 1339791 1770917 2679582 3541834 4019373 5312751 8038746 10625502 13844507 15938253 27689014 31876506 41533521 54898427 83067042 109796854 124600563 164695281 249201126 329390562 442577627 494085843 798068839 885155254 988171686 1327732881 1596137678 2394206517 2655465762 3983198643 4788413034 7182619551 7966397286 13719906437 14365239102 24740134009 27439812874 41159719311 49480268018 74220402027 82319438622 123479157933 148440804054 222661206081 246958315866 445322412162 790886219449 1581772438898 2372658658347 4745317316694 7117975975041 14235951950082 24517472802919 49034945605838 73552418408757 147104836817514 220657255226271 441314510452542