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34145263451 = 1321910633841
BaseRepresentation
bin11111110011001101…
…110101111101011011
310021010122100002211002
4133303031311331123
51024412141412301
623404111255215
72316102644015
oct376315657533
9107118302732
1034145263451
11135321248a2
12674b21a50b
1332b2117800
14191cbb31b5
15d4c9e516b
hex7f3375f5b

34145263451 has 12 divisors (see below), whose sum is σ = 38919861720. Its totient is φ = 29859822720.

The previous prime is 34145263421. The next prime is 34145263499. The reversal of 34145263451 is 15436254143.

It is not a de Polignac number, because 34145263451 - 222 = 34141069147 is a prime.

It is a super-2 number, since 2×341452634512 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34145263421) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5313710 + ... + 5320131.

It is an arithmetic number, because the mean of its divisors is an integer number (3243321810).

Almost surely, 234145263451 is an apocalyptic number.

34145263451 is a deficient number, since it is larger than the sum of its proper divisors (4774598269).

34145263451 is a wasteful number, since it uses less digits than its factorization.

34145263451 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10633886 (or 10633873 counting only the distinct ones).

The product of its digits is 172800, while the sum is 38.

The spelling of 34145263451 in words is "thirty-four billion, one hundred forty-five million, two hundred sixty-three thousand, four hundred fifty-one".

Divisors: 1 13 19 169 247 3211 10633841 138239933 202042979 1797119129 2626558727 34145263451