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34053133230 = 232519231396229
BaseRepresentation
bin11111101101101110…
…011001001110101110
310020220012222101220200
4133231232121032232
51024220100230410
623351020454330
72313603566544
oct375556311656
9106805871820
1034053133230
1113495119016
1267243aa3a6
133298ccb09c
14191086dd94
15d448973c0
hex7edb993ae

34053133230 has 192 divisors, whose sum is σ = 97965504000. Its totient is φ = 8168345856.

The previous prime is 34053133199. The next prime is 34053133237. The reversal of 34053133230 is 3233135043.

It is a happy number.

34053133230 is a `hidden beast` number, since 340 + 5 + 313 + 3 + 2 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 34053133194 and 34053133203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34053133237) 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 95 ways as a sum of consecutive naturals, for example, 5463756 + ... + 5469984.

It is an arithmetic number, because the mean of its divisors is an integer number (510237000).

Almost surely, 234053133230 is an apocalyptic number.

34053133230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34053133230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48982752000).

34053133230 is an abundant number, since it is smaller than the sum of its proper divisors (63912370770).

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

34053133230 is a wasteful number, since it uses less digits than its factorization.

34053133230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6423 (or 6420 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 27.

Adding to 34053133230 its reverse (3233135043), we get a palindrome (37286268273).

The spelling of 34053133230 in words is "thirty-four billion, fifty-three million, one hundred thirty-three thousand, two hundred thirty".