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54234031413201 = 31747127717717929
BaseRepresentation
bin11000101010011010110000…
…01011010101011111010001
321010000201111220020120012120
430111031120023111133101
524102032244020210301
6311202434200444453
714265164566546323
oct1425153013253721
9233021456216176
1054234031413201
111630a583944332
1260bab03479729
13243532a1a2663
14d56d26643613
15640b41a95e36
hex3153582d57d1

54234031413201 has 32 divisors (see below), whose sum is σ = 78255986250240. Its totient is φ = 33279088060416.

The previous prime is 54234031413197. The next prime is 54234031413217. The reversal of 54234031413201 is 10231413043245.

54234031413201 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 54234031413201 - 22 = 54234031413197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (54234031413251) 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 31 ways as a sum of consecutive naturals, for example, 5797996 + ... + 11919933.

It is an arithmetic number, because the mean of its divisors is an integer number (2445499570320).

Almost surely, 254234031413201 is an apocalyptic number.

54234031413201 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

54234031413201 is a deficient number, since it is larger than the sum of its proper divisors (24021954837039).

54234031413201 is a wasteful number, since it uses less digits than its factorization.

54234031413201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17719273.

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 54234031413201 its reverse (10231413043245), we get a palindrome (64465444456446).

The spelling of 54234031413201 in words is "fifty-four trillion, two hundred thirty-four billion, thirty-one million, four hundred thirteen thousand, two hundred one".

Divisors: 1 3 17 47 51 141 799 1277 2397 3831 21709 60019 65127 180057 1020323 3060969 17717929 53153787 301204793 832742663 903614379 2498227989 14156625271 22625795333 42469875813 67877385999 384638520661 1063412380651 1153915561983 3190237141953 18078010471067 54234031413201