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3142108008 = 23321329115757
BaseRepresentation
bin1011101101001000…
…1100001101101000
322002222102121212200
42323102030031220
522413334424013
61235442140200
7140602322514
oct27322141550
98088377780
103142108008
111372702286
12738351660
133b0c7c210
1421b439144
15135cb4e73
hexbb48c368

3142108008 has 96 divisors (see below), whose sum is σ = 9480580200. Its totient is φ = 933456384.

The previous prime is 3142108007. The next prime is 3142108087. The reversal of 3142108008 is 8008012413.

It can be written as a sum of positive squares in 4 ways, for example, as 2203175844 + 938932164 = 46938^2 + 30642^2 .

It is not an unprimeable number, because it can be changed into a prime (3142108003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30735 + ... + 85022.

Almost surely, 23142108008 is an apocalyptic number.

It is an amenable number.

3142108008 is an abundant number, since it is smaller than the sum of its proper divisors (6338472192).

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

3142108008 is a wasteful number, since it uses less digits than its factorization.

3142108008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115811 (or 115804 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 3142108008 is about 56054.5092566156. The cubic root of 3142108008 is about 1464.6719682407.

The spelling of 3142108008 in words is "three billion, one hundred forty-two million, one hundred eight thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 29 36 39 52 58 72 78 87 104 116 117 156 174 232 234 261 312 348 377 468 522 696 754 936 1044 1131 1508 2088 2262 3016 3393 4524 6786 9048 13572 27144 115757 231514 347271 463028 694542 926056 1041813 1389084 1504841 2083626 2778168 3009682 3356953 4167252 4514523 6019364 6713906 8334504 9029046 10070859 12038728 13427812 13543569 18058092 20141718 26855624 27087138 30212577 36116184 40283436 43640389 54174276 60425154 80566872 87280778 108348552 120850308 130921167 174561556 241700616 261842334 349123112 392763501 523684668 785527002 1047369336 1571054004 3142108008