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3142025856 = 2733909151
BaseRepresentation
bin1011101101000111…
…1000001010000000
322002222021110012000
42323101320022000
522413324311411
61235440304000
7140601531144
oct27321701200
98088243160
103142025856
111372656592
12738312000
133b0c509c8
1421b417224
15135c9a956
hexbb478280

3142025856 has 64 divisors (see below), whose sum is σ = 9273350400. Its totient is φ = 1047340800.

The previous prime is 3142025849. The next prime is 3142025921. The reversal of 3142025856 is 6585202413.

3142025856 is a `hidden beast` number, since 31 + 42 + 0 + 2 + 585 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

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 3142025856.

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 7 ways as a sum of consecutive naturals, for example, 451120 + ... + 458031.

It is an arithmetic number, because the mean of its divisors is an integer number (144896100).

Almost surely, 23142025856 is an apocalyptic number.

3142025856 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3142025856 is an abundant number, since it is smaller than the sum of its proper divisors (6131324544).

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

3142025856 is an equidigital number, since it uses as much as digits as its factorization.

3142025856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909174 (or 909156 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 3142025856 is about 56053.7764651054. The cubic root of 3142025856 is about 1464.6592032668.

The spelling of 3142025856 in words is "three billion, one hundred forty-two million, twenty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 909151 1818302 2727453 3636604 5454906 7273208 8182359 10909812 14546416 16364718 21819624 24547077 29092832 32729436 43639248 49094154 58185664 65458872 87278496 98188308 116371328 130917744 174556992 196376616 261835488 349113984 392753232 523670976 785506464 1047341952 1571012928 3142025856