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34140521001 = 31091396911087
BaseRepresentation
bin11111110010111011…
…110000001000101001
310021010022102011101210
4133302323300020221
51024404433133001
623403421503333
72316014432436
oct376273601051
9107108364353
1034140521001
111352a485814
126749711b49
1332b1147022
14191c2dab8d
15d4c3a9dd6
hex7f2ef0229

34140521001 has 32 divisors (see below), whose sum is σ = 46378393600. Its totient is φ = 22336326720.

The previous prime is 34140520957. The next prime is 34140521027. The reversal of 34140521001 is 10012504143.

It is not a de Polignac number, because 34140521001 - 29 = 34140520489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34140521071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31407480 + ... + 31408566.

It is an arithmetic number, because the mean of its divisors is an integer number (1449324800).

Almost surely, 234140521001 is an apocalyptic number.

It is an amenable number.

34140521001 is a deficient number, since it is larger than the sum of its proper divisors (12237872599).

34140521001 is a wasteful number, since it uses less digits than its factorization.

34140521001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2029.

The product of its (nonzero) digits is 480, while the sum is 21.

The spelling of 34140521001 in words is "thirty-four billion, one hundred forty million, five hundred twenty-one thousand, one".

Divisors: 1 3 109 139 327 417 691 1087 2073 3261 15151 45453 75319 96049 118483 151093 225957 288147 355449 453279 751117 2253351 10469341 16469137 31408023 49407411 81871753 104405263 245615259 313215789 11380173667 34140521001