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3142865880 = 2333572115399
BaseRepresentation
bin1011101101010100…
…0101001111011000
322010000212010111000
42323111011033120
522414033202010
61235510305000
7140611630200
oct27325051730
98100763430
103142865880
11137307a720
12738658160
133b118616b
1421b595400
15135db47c0
hexbb5453d8

3142865880 has 384 divisors, whose sum is σ = 13296960000. Its totient is φ = 652942080.

The previous prime is 3142865879. The next prime is 3142865897. The reversal of 3142865880 is 885682413.

3142865880 is a `hidden beast` number, since 314 + 286 + 58 + 8 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 579421 + ... + 584819.

It is an arithmetic number, because the mean of its divisors is an integer number (34627500).

Almost surely, 23142865880 is an apocalyptic number.

3142865880 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 3142865880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6648480000).

3142865880 is an abundant number, since it is smaller than the sum of its proper divisors (10154094120).

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

3142865880 is a wasteful number, since it uses less digits than its factorization.

3142865880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5444 (or 5427 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 3142865880 is about 56061.2689831402. The cubic root of 3142865880 is about 1464.7897177087.

The spelling of 3142865880 in words is "three billion, one hundred forty-two million, eight hundred sixty-five thousand, eight hundred eighty".