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382441360542 = 233141151332117
BaseRepresentation
bin1011001000010110100…
…10000000110010011110
31100120010222220001210220
411210023102000302132
522231214442014132
6451405141342210
736426152633223
oct5441322006236
91316128801726
10382441360542
111382131a571a
1262152a07966
132a0aa9a1257
141472022594a
159e35173a2c
hex590b480c9e

382441360542 has 64 divisors (see below), whose sum is σ = 814172663808. Its totient is φ = 119561760000.

The previous prime is 382441360517. The next prime is 382441360663. The reversal of 382441360542 is 245063144283.

It is a super-2 number, since 2×3824413605422 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 382441360494 and 382441360503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 985468 + ... + 1317584.

It is an arithmetic number, because the mean of its divisors is an integer number (12721447872).

Almost surely, 2382441360542 is an apocalyptic number.

382441360542 is an abundant number, since it is smaller than the sum of its proper divisors (431731303266).

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

382441360542 is a wasteful number, since it uses less digits than its factorization.

382441360542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332345.

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 382441360542 in words is "three hundred eighty-two billion, four hundred forty-one million, three hundred sixty thousand, five hundred forty-two".

Divisors: 1 2 3 6 31 41 62 82 93 123 151 186 246 302 453 906 1271 2542 3813 4681 6191 7626 9362 12382 14043 18573 28086 37146 191921 332117 383842 575763 664234 996351 1151526 1992702 10295627 13616797 20591254 27233594 30886881 40850391 50149667 61773762 81700782 100299334 150449001 300898002 422120707 844241414 1266362121 1554639677 2056136347 2532724242 3109279354 4112272694 4663919031 6168409041 9327838062 12336818082 63740226757 127480453514 191220680271 382441360542