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3142695168 = 28321364017
BaseRepresentation
bin1011101101010001…
…1011100100000000
322010000112110022100
42323110123210000
522414012221133
61235502510400
7140610316404
oct27324334400
98100473270
103142695168
111372a73438
12738595400
133b1126552
1421b54d104
15135d7de13
hexbb51b900

3142695168 has 54 divisors (see below), whose sum is σ = 9061171574. Its totient is φ = 1047564288.

The previous prime is 3142695167. The next prime is 3142695263. The reversal of 3142695168 is 8615962413.

3142695168 is a `hidden beast` number, since 31 + 42 + 69 + 516 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3094919424 + 47775744 = 55632^2 + 6912^2 .

It is not an unprimeable number, because it can be changed into a prime (3142695163) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 679705 + ... + 684312.

Almost surely, 23142695168 is an apocalyptic number.

It is an amenable number.

3142695168 is an abundant number, since it is smaller than the sum of its proper divisors (5918476406).

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

3142695168 is a wasteful number, since it uses less digits than its factorization.

3142695168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364039 (or 1364022 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 3142695168 is about 56059.7464139823. The cubic root of 3142695168 is about 1464.7631960860.

It can be divided in two parts, 3 and 142695168, that added together give a triangular number (142695171 = T16893).

The spelling of 3142695168 in words is "three billion, one hundred forty-two million, six hundred ninety-five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 1364017 2728034 4092051 5456068 8184102 10912136 12276153 16368204 21824272 24552306 32736408 43648544 49104612 65472816 87297088 98209224 130945632 174594176 196418448 261891264 349188352 392836896 523782528 785673792 1047565056 1571347584 3142695168