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34129015401 = 31319743310259
BaseRepresentation
bin11111110010001111…
…110111001001101001
310021002111202121200110
4133302033313021221
51024344011443101
623402331124533
72315514562425
oct376217671151
9107074677613
1034129015401
1113523a37458
1267458a3749
1332ab949090
14191a983b85
15d4b385cd6
hex7f23f7269

34129015401 has 32 divisors (see below), whose sum is σ = 49373089920. Its totient is φ = 20845569024.

The previous prime is 34129015381. The next prime is 34129015409. The reversal of 34129015401 is 10451092143.

It is not a de Polignac number, because 34129015401 - 26 = 34129015337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34129015409) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3321610 + ... + 3331868.

It is an arithmetic number, because the mean of its divisors is an integer number (1542909060).

Almost surely, 234129015401 is an apocalyptic number.

It is an amenable number.

34129015401 is a deficient number, since it is larger than the sum of its proper divisors (15244074519).

34129015401 is a wasteful number, since it uses less digits than its factorization.

34129015401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10905.

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 34129015401 in words is "thirty-four billion, one hundred twenty-nine million, fifteen thousand, four hundred one".

Divisors: 1 3 13 39 197 433 591 1299 2561 5629 7683 10259 16887 30777 85301 133367 255903 400101 1108913 2021023 3326739 4442147 6063069 13326441 26273299 57747911 78819897 173243733 875102959 2625308877 11376338467 34129015401