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54015352540131 = 3311399394150453
BaseRepresentation
bin11000100100000011011011…
…11001101000101111100011
321002020211001210100210220110
430102001231321220233203
524034441420222241011
6310514151013342403
714243323535030403
oct1422015571505743
9232224053323813
1054015352540131
1116235867371354
126084654337a03
13241a81a0ccb88
14d4a4dd8da803
1563a0e386aba6
hex31206de68be3

54015352540131 has 16 divisors (see below), whose sum is σ = 74344260193280. Its totient is φ = 34848357118560.

The previous prime is 54015352540103. The next prime is 54015352540139. The reversal of 54015352540131 is 13104525351045.

54015352540131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 54015352540131 - 29 = 54015352539619 is a prime.

It is a super-2 number, since 2×540153525401312 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 54015352540131.

It is not an unprimeable number, because it can be changed into a prime (54015352540139) 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 15 ways as a sum of consecutive naturals, for example, 10939101 + ... + 15089553.

It is an arithmetic number, because the mean of its divisors is an integer number (4646516262080).

Almost surely, 254015352540131 is an apocalyptic number.

54015352540131 is a deficient number, since it is larger than the sum of its proper divisors (20328907653149).

54015352540131 is a wasteful number, since it uses less digits than its factorization.

54015352540131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4290426.

The product of its (nonzero) digits is 180000, while the sum is 39.

Adding to 54015352540131 its reverse (13104525351045), we get a palindrome (67119877891176).

The spelling of 54015352540131 in words is "fifty-four trillion, fifteen billion, three hundred fifty-two million, five hundred forty thousand, one hundred thirty-one".

Divisors: 1 3 31 93 139939 419817 4150453 4338109 12451359 13014327 128664043 385992129 580810242367 1742430727101 18005117513377 54015352540131