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34106239149363 = 332946194486801
BaseRepresentation
bin1111100000100111110100…
…10001001110010100110011
311110202112011110002102121000
413300103322101032110303
513432244034210234423
6200312105010533043
710120044254306553
oct760237221162463
9143675143072530
1034106239149363
11a95a413941007
1239aa026597183
131605287526a74
1485ca7220d163
153e22acae5843
hex1f04fa44e533

34106239149363 has 32 divisors (see below), whose sum is σ = 52383483028800. Its totient is φ = 21905819712000.

The previous prime is 34106239149349. The next prime is 34106239149379. The reversal of 34106239149363 is 36394193260143.

34106239149363 is a `hidden beast` number, since 3 + 4 + 1 + 0 + 6 + 2 + 3 + 91 + 493 + 63 = 666.

It is not a de Polignac number, because 34106239149363 - 29 = 34106239148851 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34106239149343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46882438 + ... + 47604363.

It is an arithmetic number, because the mean of its divisors is an integer number (1636983844650).

Almost surely, 234106239149363 is an apocalyptic number.

34106239149363 is a deficient number, since it is larger than the sum of its proper divisors (18277243879437).

34106239149363 is a wasteful number, since it uses less digits than its factorization.

34106239149363 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94487300 (or 94487294 counting only the distinct ones).

The product of its (nonzero) digits is 7558272, while the sum is 54.

The spelling of 34106239149363 in words is "thirty-four trillion, one hundred six billion, two hundred thirty-nine million, one hundred forty-nine thousand, three hundred sixty-three".

Divisors: 1 3 9 27 29 87 261 461 783 1383 4149 12447 13369 40107 120321 360963 94486801 283460403 850381209 2551143627 2740117229 8220351687 24661055061 43558415261 73983165183 130675245783 392025737349 1176077212047 1263194042569 3789582127707 11368746383121 34106239149363