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41134136328 = 2332571307449
BaseRepresentation
bin100110010011110010…
…010001110000001000
310221011201010122001200
4212103302101300020
51133220314330303
630521411144200
72654225250465
oct462362216010
9127151118050
1041134136328
111649916949a
127b7b8a5060
133b57025b4c
141dc307466c
15110b3623a3
hex993c91c08

41134136328 has 24 divisors (see below), whose sum is σ = 111404952750. Its totient is φ = 13711378752.

The previous prime is 41134136293. The next prime is 41134136357. The reversal of 41134136328 is 82363143114.

41134136328 is a `hidden beast` number, since 4 + 1 + 1 + 3 + 4 + 13 + 632 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 32492946564 + 8641189764 = 180258^2 + 92958^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 41134136292 and 41134136301.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 285653653 + ... + 285653796.

Almost surely, 241134136328 is an apocalyptic number.

It is an amenable number.

41134136328 is an abundant number, since it is smaller than the sum of its proper divisors (70270816422).

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

41134136328 is a wasteful number, since it uses less digits than its factorization.

41134136328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571307461 (or 571307454 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The spelling of 41134136328 in words is "forty-one billion, one hundred thirty-four million, one hundred thirty-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 571307449 1142614898 1713922347 2285229796 3427844694 4570459592 5141767041 6855689388 10283534082 13711378776 20567068164 41134136328