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4140984933 = 321773499743
BaseRepresentation
bin1111011011010010…
…0110101001100101
3101200120222211102100
43312310212221211
531440043004213
61522523402313
7204421535241
oct36664465145
911616884370
104140984933
1118355292a8
12976983399
1350cbb5157
142b3d73421
15193823773
hexf6d26a65

4140984933 has 48 divisors (see below), whose sum is σ = 6441552000. Its totient is φ = 2554094592.

The previous prime is 4140984857. The next prime is 4140984971. The reversal of 4140984933 is 3394890414.

It is a happy number.

4140984933 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4140984933 - 28 = 4140984677 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4140984973) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5572960 + ... + 5573702.

It is an arithmetic number, because the mean of its divisors is an integer number (134199000).

Almost surely, 24140984933 is an apocalyptic number.

It is an amenable number.

4140984933 is a deficient number, since it is larger than the sum of its proper divisors (2300567067).

4140984933 is a wasteful number, since it uses less digits than its factorization.

4140984933 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 4140984933 is about 64350.4851030666. The cubic root of 4140984933 is about 1605.8360997310.

The spelling of 4140984933 in words is "four billion, one hundred forty million, nine hundred eighty-four thousand, nine hundred thirty-three".

Divisors: 1 3 9 17 51 73 153 219 499 657 743 1241 1497 2229 3723 4491 6687 8483 11169 12631 25449 36427 37893 54239 76347 109281 113679 162717 327843 370757 488151 619259 922063 1112271 1857777 2766189 3336813 5573331 6302869 8298567 18908607 27065261 56725821 81195783 243587349 460109437 1380328311 4140984933