Search a number
-
+
34164621414 = 23271124649799
BaseRepresentation
bin11111110100010111…
…101100000001100110
310021011222202120221200
4133310113230001212
51024432120341124
623410042223330
72316426330150
oct376427540146
9107158676850
1034164621414
1113542046810
1267557b4b46
1332b6134921
1419215b1ad0
15d4e56abc9
hex7f45ec066

34164621414 has 48 divisors (see below), whose sum is σ = 92288851200. Its totient is φ = 8873927280.

The previous prime is 34164621371. The next prime is 34164621431. The reversal of 34164621414 is 41412646143.

34164621414 is a `hidden beast` number, since 3 + 4 + 1 + 646 + 2 + 1 + 4 + 1 + 4 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 12323514 + ... + 12326285.

It is an arithmetic number, because the mean of its divisors is an integer number (1922684400).

Almost surely, 234164621414 is an apocalyptic number.

34164621414 is an abundant number, since it is smaller than the sum of its proper divisors (58124229786).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34164621414 is a wasteful number, since it uses less digits than its factorization.

34164621414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24649825 (or 24649822 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The spelling of 34164621414 in words is "thirty-four billion, one hundred sixty-four million, six hundred twenty-one thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1386 24649799 49299598 73949397 147898794 172548593 221848191 271147789 345097186 443696382 517645779 542295578 813443367 1035291558 1552937337 1626886734 1898034523 2440330101 3105874674 3796069046 4880660202 5694103569 11388207138 17082310707 34164621414