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4142004192 = 253214381959
BaseRepresentation
bin1111011011100001…
…1111011111100000
3101200122220121120200
43312320133133200
531440323113232
61523001305200
7204433311654
oct36670373740
911618817520
104142004192
111836065067
12977195200
13510181071
142b415aa64
1519397577c
hexf6e1f7e0

4142004192 has 36 divisors (see below), whose sum is σ = 11778825240. Its totient is φ = 1380667968.

The previous prime is 4142004173. The next prime is 4142004211. The reversal of 4142004192 is 2914002414.

It is a happy number.

4142004192 is a `hidden beast` number, since 41 + 4 + 200 + 419 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (4142004173) and next prime (4142004211).

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7190692 + ... + 7191267.

It is an arithmetic number, because the mean of its divisors is an integer number (327189590).

Almost surely, 24142004192 is an apocalyptic number.

It is an amenable number.

4142004192 is an abundant number, since it is smaller than the sum of its proper divisors (7636821048).

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

4142004192 is a wasteful number, since it uses less digits than its factorization.

4142004192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14381975 (or 14381964 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4142004192 is about 64358.4042064438. The cubic root of 4142004192 is about 1605.9678420299.

The spelling of 4142004192 in words is "four billion, one hundred forty-two million, four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 14381959 28763918 43145877 57527836 86291754 115055672 129437631 172583508 230111344 258875262 345167016 460222688 517750524 690334032 1035501048 1380668064 2071002096 4142004192