Search a number
-
+
3406149170425 = 521973341320233
BaseRepresentation
bin110001100100001110010…
…011111011010011111001
3110001121212101120212110201
4301210032103323103321
5421301243141423200
611124432513442201
7501041360146501
oct61441623732371
913047771525421
103406149170425
1110a35a3454901
12470174570361
131b9277105411
14bac03a18a01
155d905dddc6a
hex3190e4fb4f9

3406149170425 has 24 divisors (see below), whose sum is σ = 4227212737944. Its totient is φ = 2722605672960.

The previous prime is 3406149170423. The next prime is 3406149170429. The reversal of 3406149170425 is 5240719416043.

It can be written as a sum of positive squares in 12 ways, for example, as 523145530944 + 2883003639481 = 723288^2 + 1697941^2 .

It is not a de Polignac number, because 3406149170425 - 21 = 3406149170423 is a prime.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3406149170423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168336109 + ... + 168356341.

It is an arithmetic number, because the mean of its divisors is an integer number (176133864081).

Almost surely, 23406149170425 is an apocalyptic number.

It is an amenable number.

3406149170425 is a deficient number, since it is larger than the sum of its proper divisors (821063567519).

3406149170425 is a wasteful number, since it uses less digits than its factorization.

3406149170425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25629 (or 25624 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The spelling of 3406149170425 in words is "three trillion, four hundred six billion, one hundred forty-nine million, one hundred seventy thousand, four hundred twenty-five".

Divisors: 1 5 25 1973 3413 9865 17065 20233 49325 85325 101165 505825 6733849 33669245 39919709 69055229 168346225 199598545 345276145 997992725 1726380725 136245966817 681229834085 3406149170425