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34138139168 = 257152402407
BaseRepresentation
bin11111110010110010…
…101010101000100000
310021010010221011010202
4133302302222220200
51024403330423133
623403254444332
72315655252350
oct376262525040
9107103834122
1034138139168
11135290a9261
1267489636a8
1332b07c1b63
14191bc7ab60
15d4c0892e8
hex7f2caaa20

34138139168 has 24 divisors (see below), whose sum is σ = 76810813632. Its totient is φ = 14630630976.

The previous prime is 34138139141. The next prime is 34138139171. The reversal of 34138139168 is 86193183143.

It is a happy 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 3 ways as a sum of consecutive naturals, for example, 76200980 + ... + 76201427.

It is an arithmetic number, because the mean of its divisors is an integer number (3200450568).

Almost surely, 234138139168 is an apocalyptic number.

It is an amenable number.

34138139168 is an abundant number, since it is smaller than the sum of its proper divisors (42672674464).

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

34138139168 is a wasteful number, since it uses less digits than its factorization.

34138139168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152402424 (or 152402416 counting only the distinct ones).

The product of its digits is 373248, while the sum is 47.

The spelling of 34138139168 in words is "thirty-four billion, one hundred thirty-eight million, one hundred thirty-nine thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 152402407 304804814 609609628 1066816849 1219219256 2133633698 2438438512 4267267396 4876877024 8534534792 17069069584 34138139168