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6142942296 = 233285318643
BaseRepresentation
bin1011011100010010…
…11101110001011000
3120212010000210122100
411232021131301120
5100040043123141
62453320323400
7305141101521
oct55611356130
916763023570
106142942296
112672592517
121235313560
1376b8963ca
14423bbb848
1525e4710b6
hex16e25dc58

6142942296 has 24 divisors (see below), whose sum is σ = 16637135580. Its totient is φ = 2047647408.

The previous prime is 6142942283. The next prime is 6142942331. The reversal of 6142942296 is 6922492416.

6142942296 is a `hidden beast` number, since 614 + 2 + 9 + 4 + 2 + 29 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

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 5 ways as a sum of consecutive naturals, for example, 42659250 + ... + 42659393.

Almost surely, 26142942296 is an apocalyptic number.

It is an amenable number.

6142942296 is an abundant number, since it is smaller than the sum of its proper divisors (10494193284).

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

6142942296 is a wasteful number, since it uses less digits than its factorization.

6142942296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85318655 (or 85318648 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 6142942296 is about 78376.9245122568. The cubic root of 6142942296 is about 1831.4376805924.

The spelling of 6142942296 in words is "six billion, one hundred forty-two million, nine hundred forty-two thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 85318643 170637286 255955929 341274572 511911858 682549144 767867787 1023823716 1535735574 2047647432 3071471148 6142942296