Search a number
-
+
34244457891329 = 759121368356441
BaseRepresentation
bin1111100100101001010001…
…01111111000011000000001
311111020201221011001000200102
413302110220233320120001
513442030122210010304
6200455404202132145
710133036406241010
oct762245057703001
9144221834030612
1034244457891329
11aa02aa1801674
123a1097b7b1055
13161531405b60a
14865625042a77
153e5b9c261d1e
hex1f2528bf8601

34244457891329 has 16 divisors (see below), whose sum is σ = 39832665882240. Its totient is φ = 28831105837440.

The previous prime is 34244457891289. The next prime is 34244457891331. The reversal of 34244457891329 is 92319875444243.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 34244457891329 - 216 = 34244457825793 is a prime.

It is a Smith number, since the sum of its digits (65) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34244457891379) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33677252 + ... + 34679189.

It is an arithmetic number, because the mean of its divisors is an integer number (2489541617640).

Almost surely, 234244457891329 is an apocalyptic number.

It is an amenable number.

34244457891329 is a deficient number, since it is larger than the sum of its proper divisors (5588207990911).

34244457891329 is a wasteful number, since it uses less digits than its factorization.

34244457891329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68357720.

The product of its digits is 209018880, while the sum is 65.

The spelling of 34244457891329 in words is "thirty-four trillion, two hundred forty-four billion, four hundred fifty-seven million, eight hundred ninety-one thousand, three hundred twenty-nine".

Divisors: 1 7 59 413 1213 8491 71567 500969 68356441 478495087 4033030019 28231210133 82916362933 580414540531 4892065413047 34244457891329