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442540218728261 = 41379104683272053
BaseRepresentation
bin110010010011111001110110…
…0100010010011111101000101
32011000220102122201212202221002
41210213303230202103331011
5431001034331443301021
64205112100410303045
7162133322110643243
oct14447635442237505
92130812581782832
10442540218728261
11119009286521845
1241773313a27a85
1315cc14959907b4
147b3d0bd05d793
15362674774b50b
hex1927cec893f45

442540218728261 has 16 divisors (see below), whose sum is σ = 454536026938560. Its totient is φ = 430601685655680.

The previous prime is 442540218728249. The next prime is 442540218728323. The reversal of 442540218728261 is 162827812045244.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-442540218728261 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 442540218728197 and 442540218728206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442540218728761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1626533111 + ... + 1626805163.

It is an arithmetic number, because the mean of its divisors is an integer number (28408501683660).

Almost surely, 2442540218728261 is an apocalyptic number.

442540218728261 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

442540218728261 is a deficient number, since it is larger than the sum of its proper divisors (11995808210299).

442540218728261 is a wasteful number, since it uses less digits than its factorization.

442540218728261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377156.

The product of its (nonzero) digits is 13762560, while the sum is 56.

The spelling of 442540218728261 in words is "four hundred forty-two trillion, five hundred forty billion, two hundred eighteen million, seven hundred twenty-eight thousand, two hundred sixty-one".

Divisors: 1 41 379 15539 104683 272053 4292003 11154173 39674857 103108087 1626669137 4227431567 28479324199 1167652292159 10793663871421 442540218728261