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3144133700 = 225231441337
BaseRepresentation
bin1011101101100111…
…1010110001000100
322010010020112121022
42323121322301010
522414344234300
61235553410312
7140625460361
oct27331726104
98103215538
103144133700
111373866204
12738b69998
133b150b256
1421b805468
15136065285
hexbb67ac44

3144133700 has 18 divisors (see below), whose sum is σ = 6822770346. Its totient is φ = 1257653440.

The previous prime is 3144133693. The next prime is 3144133709. The reversal of 3144133700 is 73314413.

It can be written as a sum of positive squares in 3 ways, for example, as 64516 + 3144069184 = 254^2 + 56072^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3144133700.

It is not an unprimeable number, because it can be changed into a prime (3144133709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15720569 + ... + 15720768.

It is an arithmetic number, because the mean of its divisors is an integer number (379042797).

Almost surely, 23144133700 is an apocalyptic number.

It is an amenable number.

3144133700 is an abundant number, since it is smaller than the sum of its proper divisors (3678636646).

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

3144133700 is a wasteful number, since it uses less digits than its factorization.

3144133700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31441351 (or 31441344 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 3144133700 is about 56072.5752930967. The cubic root of 3144133700 is about 1464.9866547414.

The spelling of 3144133700 in words is "three billion, one hundred forty-four million, one hundred thirty-three thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 100 31441337 62882674 125765348 157206685 314413370 628826740 786033425 1572066850 3144133700