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34131240442 = 21317238911677
BaseRepresentation
bin11111110010011000…
…010110010111111010
310021002122221122212101
4133302120112113322
51024400044143232
623402450534014
72315542520425
oct376230262772
9107078848771
1034131240442
1113525217132
12674659730a
1332ac247a80
14191ada29bc
15d4b6751e7
hex7f26165fa

34131240442 has 48 divisors (see below), whose sum is σ = 58724691480. Its totient is φ = 14786860032.

The previous prime is 34131240413. The next prime is 34131240461. The reversal of 34131240442 is 24404213143.

It can be written as a sum of positive squares in 12 ways, for example, as 9353017521 + 24778222921 = 96711^2 + 157411^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 34131240442.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2917108 + ... + 2928784.

Almost surely, 234131240442 is an apocalyptic number.

34131240442 is a deficient number, since it is larger than the sum of its proper divisors (24593451038).

34131240442 is a wasteful number, since it uses less digits than its factorization.

34131240442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12115 (or 12098 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 34131240442 its reverse (24404213143), we get a palindrome (58535453585).

The spelling of 34131240442 in words is "thirty-four billion, one hundred thirty-one million, two hundred forty thousand, four hundred forty-two".

Divisors: 1 2 13 17 26 34 221 289 389 442 578 778 3757 5057 6613 7514 10114 11677 13226 23354 85969 112421 151801 171938 198509 224842 303602 397018 1461473 2580617 2922946 3374653 4542353 5161234 6749306 9084706 43870489 59050589 77220001 87740978 118101178 154440002 1003860013 1312740017 2007720026 2625480034 17065620221 34131240442