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3139952640 = 213351123101
BaseRepresentation
bin1011101100100111…
…1110000000000000
322002211101010021020
42323021332000000
522412311441030
61235324025440
7140545104606
oct27311760000
98084333236
103139952640
11137146a990
12737692280
133b06a6156
1421b037876
151359db510
hexbb27e000

3139952640 has 448 divisors, whose sum is σ = 11550408192. Its totient is φ = 720896000.

The previous prime is 3139952633. The next prime is 3139952657. The reversal of 3139952640 is 462599313.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3139952592 and 3139952601.

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 31 ways as a sum of consecutive naturals, for example, 31088590 + ... + 31088690.

Almost surely, 23139952640 is an apocalyptic number.

3139952640 is a gapful number since it is divisible by the number (30) 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 3139952640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5775204096).

3139952640 is an abundant number, since it is smaller than the sum of its proper divisors (8410455552).

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

3139952640 is a wasteful number, since it uses less digits than its factorization.

3139952640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 42.

The square root of 3139952640 is about 56035.2803151729. The cubic root of 3139952640 is about 1464.3369883272.

The spelling of 3139952640 in words is "three billion, one hundred thirty-nine million, nine hundred fifty-two thousand, six hundred forty".