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34121405361 = 3611371737867
BaseRepresentation
bin11111110001110010…
…110101001110110001
310021001222102222200010
4133301302311032301
51024340034432421
623401500045133
72315363105631
oct376162651661
9107058388603
1034121405361
111351a70996a
1267432337a9
1332aa1b32b4
1419199626c1
15d4a881076
hex7f1cb53b1

34121405361 has 32 divisors (see below), whose sum is σ = 46853751168. Its totient is φ = 22080176640.

The previous prime is 34121405293. The next prime is 34121405387. The reversal of 34121405361 is 16350412143.

It is not a de Polignac number, because 34121405361 - 27 = 34121405233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34121405561) 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, 4333350 + ... + 4341216.

It is an arithmetic number, because the mean of its divisors is an integer number (1464179724).

Almost surely, 234121405361 is an apocalyptic number.

It is an amenable number.

34121405361 is a deficient number, since it is larger than the sum of its proper divisors (12732345807).

34121405361 is a wasteful number, since it uses less digits than its factorization.

34121405361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8241.

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 34121405361 in words is "thirty-four billion, one hundred twenty-one million, four hundred five thousand, three hundred sixty-one".

Divisors: 1 3 61 137 173 183 411 519 7867 8357 10553 23601 23701 25071 31659 71103 479887 1077779 1360991 1439661 1445761 3233337 4082973 4337283 65744519 83020451 186455767 197233557 249061353 559367301 11373801787 34121405361