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3142250496 = 2123571141
BaseRepresentation
bin1011101101001010…
…1111000000000000
322002222200212100000
42323102233000000
522413404003441
61235445200000
7140603455110
oct27322570000
98088625300
103142250496
11137279a340
12738400000
133b0ccc028
1421b475040
15135ce22b6
hexbb4af000

3142250496 has 624 divisors, whose sum is σ = 12021504768. Its totient is φ = 796262400.

The previous prime is 3142250477. The next prime is 3142250549. The reversal of 3142250496 is 6940522413.

It is a happy number.

3142250496 is a `hidden beast` number, since 3 + 142 + 2 + 504 + 9 + 6 = 666.

It is a super-2 number, since 2×31422504962 = 19747476359224492032, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3142250496.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76640236 + ... + 76640276.

It is an arithmetic number, because the mean of its divisors is an integer number (19265232).

Almost surely, 23142250496 is an apocalyptic number.

3142250496 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3142250496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6010752384).

3142250496 is an abundant number, since it is smaller than the sum of its proper divisors (8879254272).

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

3142250496 is an equidigital number, since it uses as much as digits as its factorization.

3142250496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3142250496 is about 56055.7802193494. The cubic root of 3142250496 is about 1464.6941078387.

It can be divided in two parts, 31422 and 50496, that added together give a palindrome (81918).

The spelling of 3142250496 in words is "three billion, one hundred forty-two million, two hundred fifty thousand, four hundred ninety-six".