Search a number
-
+
34214200041 = 374734664843
BaseRepresentation
bin11111110111010100…
…110100001011101001
310021022110001110001010
4133313110310023221
51030032313400131
623415013014133
72320600621230
oct376724641351
9107273043033
1034214200041
111356802998a
12676a324349
1332c34a32a8
141927dd9b17
15d53ab0b46
hex7f75342e9

34214200041 has 16 divisors (see below), whose sum is σ = 53245200384. Its totient is φ = 19134992784.

The previous prime is 34214200021. The next prime is 34214200073. The reversal of 34214200041 is 14000241243.

It is not a de Polignac number, because 34214200041 - 26 = 34214199977 is a prime.

It is a super-2 number, since 2×342142000412 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 34214199990 and 34214200017.

It is not an unprimeable number, because it can be changed into a prime (34214200021) 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, 17331435 + ... + 17333408.

It is an arithmetic number, because the mean of its divisors is an integer number (3327825024).

Almost surely, 234214200041 is an apocalyptic number.

It is an amenable number.

34214200041 is a deficient number, since it is larger than the sum of its proper divisors (19031000343).

34214200041 is a wasteful number, since it uses less digits than its factorization.

34214200041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34664900.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 34214200041 its reverse (14000241243), we get a palindrome (48214441284).

The spelling of 34214200041 in words is "thirty-four billion, two hundred fourteen million, two hundred thousand, forty-one".

Divisors: 1 3 7 21 47 141 329 987 34664843 103994529 242653901 727961703 1629247621 4887742863 11404733347 34214200041