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34102261431 = 327277329391
BaseRepresentation
bin11111110000101001…
…110011011010110111
310021000122102101010200
4133300221303122313
51024320134331211
623355533451543
72315041303500
oct376051633267
9107018371120
1034102261431
111350a923837
126738940bb3
1332a623c724
1419171bbba7
15d48d4db56
hex7f0a736b7

34102261431 has 18 divisors (see below), whose sum is σ = 57301079472. Its totient is φ = 19487006280.

The previous prime is 34102261423. The next prime is 34102261489. The reversal of 34102261431 is 13416220143.

It is a happy number.

34102261431 is a `hidden beast` number, since 3 + 4 + 1 + 0 + 226 + 1 + 431 = 666.

It is not a de Polignac number, because 34102261431 - 23 = 34102261423 is a prime.

It is a super-2 number, since 2×341022614312 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34102261395 and 34102261404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34102261231) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 38664255 + ... + 38665136.

It is an arithmetic number, because the mean of its divisors is an integer number (3183393304).

Almost surely, 234102261431 is an apocalyptic number.

34102261431 is a deficient number, since it is larger than the sum of its proper divisors (23198818041).

34102261431 is a wasteful number, since it uses less digits than its factorization.

34102261431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77329411 (or 77329401 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 34102261431 its reverse (13416220143), we get a palindrome (47518481574).

The spelling of 34102261431 in words is "thirty-four billion, one hundred two million, two hundred sixty-one thousand, four hundred thirty-one".

Divisors: 1 3 7 9 21 49 63 147 441 77329391 231988173 541305737 695964519 1623917211 3789140159 4871751633 11367420477 34102261431