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33240214431 = 339778716127
BaseRepresentation
bin11110111101010001…
…010110101110011111
310011210120022211222000
4132331101112232133
51021033443330211
623134221053343
72254503106104
oct367521265637
9104716284860
1033240214431
11131082640a6
1265380b7253
133199773c48
141874900aab
15ce831c656
hex7bd456b9f

33240214431 has 32 divisors (see below), whose sum is σ = 49818746880. Its totient is φ = 21902462208.

The previous prime is 33240214321. The next prime is 33240214433. The reversal of 33240214431 is 13441204233.

It is not a de Polignac number, because 33240214431 - 213 = 33240206239 is a prime.

It is a super-2 number, since 2×332402144312 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 33240214395 and 33240214404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33240214433) 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, 2053090 + ... + 2069216.

It is an arithmetic number, because the mean of its divisors is an integer number (1556835840).

Almost surely, 233240214431 is an apocalyptic number.

33240214431 is a deficient number, since it is larger than the sum of its proper divisors (16578532449).

33240214431 is a wasteful number, since it uses less digits than its factorization.

33240214431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17020 (or 17014 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 33240214431 its reverse (13441204233), we get a palindrome (46681418664).

The spelling of 33240214431 in words is "thirty-three billion, two hundred forty million, two hundred fourteen thousand, four hundred thirty-one".

Divisors: 1 3 9 27 97 291 787 873 2361 2619 7083 16127 21249 48381 76339 145143 229017 435429 687051 1564319 2061153 4692957 12691949 14078871 38075847 42236613 114227541 342682623 1231119053 3693357159 11080071477 33240214431