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3145525128 = 233243687849
BaseRepresentation
bin1011101101111100…
…1110011110001000
322010012212020021200
42323133032132020
522420223301003
61240043304200
7140643344124
oct27337163610
98105766250
103145525128
111374626649
1273951b060
133b18a7695
1421ba88584
1513623c6a3
hexbb7ce788

3145525128 has 24 divisors (see below), whose sum is σ = 8519130750. Its totient is φ = 1048508352.

The previous prime is 3145525063. The next prime is 3145525129. The reversal of 3145525128 is 8215255413.

3145525128 is a `hidden beast` number, since 3 + 1 + 4 + 5 + 525 + 128 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3078252324 + 67272804 = 55482^2 + 8202^2 .

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 junction number, because it is equal to n+sod(n) for n = 3145525092 and 3145525101.

It is not an unprimeable number, because it can be changed into a prime (3145525129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21843853 + ... + 21843996.

Almost surely, 23145525128 is an apocalyptic number.

It is an amenable number.

3145525128 is an abundant number, since it is smaller than the sum of its proper divisors (5373605622).

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

3145525128 is a wasteful number, since it uses less digits than its factorization.

3145525128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43687861 (or 43687854 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 3145525128 is about 56084.9813051587. The cubic root of 3145525128 is about 1465.2027315180.

The spelling of 3145525128 in words is "three billion, one hundred forty-five million, five hundred twenty-five thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 43687849 87375698 131063547 174751396 262127094 349502792 393190641 524254188 786381282 1048508376 1572762564 3145525128