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542400000351 = 31121494214877
BaseRepresentation
bin1111110010010011000…
…11110011000101011111
31220212000210021220021220
413321021203303011133
532341313400002401
61053101454224423
754121114634616
oct7711143630537
91825023256256
10542400000351
1119a037729300
12891547b5113
133c1c04b9191
141c37645087d
15e198191336
hex7e498f315f

542400000351 has 12 divisors (see below), whose sum is σ = 794922315096. Its totient is φ = 328727272720.

The previous prime is 542400000347. The next prime is 542400000367. The reversal of 542400000351 is 153000004245.

It is not a de Polignac number, because 542400000351 - 22 = 542400000347 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542400010351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 747107076 + ... + 747107801.

It is an arithmetic number, because the mean of its divisors is an integer number (66243526258).

Almost surely, 2542400000351 is an apocalyptic number.

542400000351 is a deficient number, since it is larger than the sum of its proper divisors (252522314745).

542400000351 is a wasteful number, since it uses less digits than its factorization.

542400000351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1494214902 (or 1494214891 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

Adding to 542400000351 its reverse (153000004245), we get a palindrome (695400004596).

The spelling of 542400000351 in words is "five hundred forty-two billion, four hundred million, three hundred fifty-one", and thus it is an aban number.

Divisors: 1 3 11 33 121 363 1494214877 4482644631 16436363647 49309090941 180800000117 542400000351