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34142678765 = 5132109370693
BaseRepresentation
bin11111110011000011…
…111110111011101101
310021010110110210021222
4133303003332323231
51024411011210030
623403540033125
72316041660336
oct376303767355
9107113423258
1034142678765
1113530719998
12674a3927a5
1332b1721200
14191c6dd28d
15d4c6843e5
hex7f30feeed

34142678765 has 24 divisors (see below), whose sum is σ = 44772421320. Its totient is φ = 24981675264.

The previous prime is 34142678761. The next prime is 34142678803. The reversal of 34142678765 is 56787624143.

It can be written as a sum of positive squares in 12 ways, for example, as 10535585449 + 23607093316 = 102643^2 + 153646^2 .

It is not a de Polignac number, because 34142678765 - 22 = 34142678761 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34142678761) 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, 93242 + ... + 277451.

It is an arithmetic number, because the mean of its divisors is an integer number (1865517555).

Almost surely, 234142678765 is an apocalyptic number.

It is an amenable number.

34142678765 is a deficient number, since it is larger than the sum of its proper divisors (10629742555).

34142678765 is a wasteful number, since it uses less digits than its factorization.

34142678765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370833 (or 370820 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 53.

The spelling of 34142678765 in words is "thirty-four billion, one hundred forty-two million, six hundred seventy-eight thousand, seven hundred sixty-five".

Divisors: 1 5 13 65 109 169 545 845 1417 7085 18421 92105 370693 1853465 4819009 24095045 40405537 62647117 202027685 313235585 525271981 2626359905 6828535753 34142678765