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6142142466 = 233176690787
BaseRepresentation
bin1011011100001100…
…11010100000000010
3120212001112011111000
411232012122200002
5100034342024331
62453251232430
7305131230615
oct55606324002
916761464430
106142142466
1126720965a9
121234ba8716
1376b676335
14423a5017c
1525e3640e6
hex16e19a802

6142142466 has 32 divisors (see below), whose sum is σ = 14452102080. Its totient is φ = 1926946368.

The previous prime is 6142142441. The next prime is 6142142467. The reversal of 6142142466 is 6642412416.

6142142466 is a `hidden beast` number, since 614 + 2 + 14 + 24 + 6 + 6 = 666.

It is a super-2 number, since 2×61421424662 = 75451828145281122312, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6142142466.

It is not an unprimeable number, because it can be changed into a prime (6142142467) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3344476 + ... + 3346311.

It is an arithmetic number, because the mean of its divisors is an integer number (451628190).

Almost surely, 26142142466 is an apocalyptic number.

6142142466 is an abundant number, since it is smaller than the sum of its proper divisors (8309959614).

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

6142142466 is a wasteful number, since it uses less digits than its factorization.

6142142466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6690815 (or 6690809 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 6142142466 is about 78371.8218877168. The cubic root of 6142142466 is about 1831.3581908675.

The spelling of 6142142466 in words is "six billion, one hundred forty-two million, one hundred forty-two thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 459 918 6690787 13381574 20072361 40144722 60217083 113743379 120434166 180651249 227486758 341230137 361302498 682460274 1023690411 2047380822 3071071233 6142142466