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34134144021 = 32293727113043
BaseRepresentation
bin11111110010100011…
…011011010000010101
310021002212102011211100
4133302203123100111
51024401320102041
623403033100313
72315606302605
oct376243332025
9107085364740
1034134144021
111352691a68a
126747557699
1332aca23573
14191b51ac05
15d4ba4a6b6
hex7f28db415

34134144021 has 48 divisors (see below), whose sum is σ = 52580885760. Its totient is φ = 21297064320.

The previous prime is 34134144013. The next prime is 34134144053. The reversal of 34134144021 is 12044143143.

It is not a de Polignac number, because 34134144021 - 23 = 34134144013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34134144091) 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 47 ways as a sum of consecutive naturals, for example, 2610526 + ... + 2623568.

It is an arithmetic number, because the mean of its divisors is an integer number (1095435120).

Almost surely, 234134144021 is an apocalyptic number.

It is an amenable number.

34134144021 is a deficient number, since it is larger than the sum of its proper divisors (18446741739).

34134144021 is a wasteful number, since it uses less digits than its factorization.

34134144021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13386 (or 13383 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 34134144021 its reverse (12044143143), we get a palindrome (46178287164).

The spelling of 34134144021 in words is "thirty-four billion, one hundred thirty-four million, one hundred forty-four thousand, twenty-one".

Divisors: 1 3 9 29 37 87 111 261 271 333 813 1073 2439 3219 7859 9657 10027 13043 23577 30081 39129 70731 90243 117387 290783 378247 482591 872349 1134741 1447773 2617047 3404223 3534653 4343319 10603959 13995139 31811877 41985417 102504937 125956251 130782161 307514811 392346483 922544433 1177039449 3792682669 11378048007 34134144021