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6142948407 = 322392855857
BaseRepresentation
bin1011011100010010…
…11111010000110111
3120212010001010000200
411232021133100313
5100040043322112
62453320411543
7305141125401
oct55611372067
916763033020
106142948407
112672597072
121235316bb3
1376b89911b
14423bbdb71
1525e472cdc
hex16e25f437

6142948407 has 12 divisors (see below), whose sum is σ = 8910276960. Its totient is φ = 4078162368.

The previous prime is 6142948381. The next prime is 6142948447. The reversal of 6142948407 is 7048492416.

6142948407 is a `hidden beast` number, since 614 + 29 + 4 + 8 + 4 + 0 + 7 = 666.

It is a de Polignac number, because none of the positive numbers 2k-6142948407 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6142948447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1425778 + ... + 1430079.

It is an arithmetic number, because the mean of its divisors is an integer number (742523080).

Almost surely, 26142948407 is an apocalyptic number.

6142948407 is a deficient number, since it is larger than the sum of its proper divisors (2767328553).

6142948407 is a wasteful number, since it uses less digits than its factorization.

6142948407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2856102 (or 2856099 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 6142948407 is about 78376.9634969358. The cubic root of 6142948407 is about 1831.4382878970.

The spelling of 6142948407 in words is "six billion, one hundred forty-two million, nine hundred forty-eight thousand, four hundred seven".

Divisors: 1 3 9 239 717 2151 2855857 8567571 25702713 682549823 2047649469 6142948407