Search a number
-
+
34437107440101 = 311479035813367
BaseRepresentation
bin1111101010010000000111…
…00011100101100111100101
311111221011012020011002200110
413311020003203211213211
514003204144001040401
6201124104434403233
710152666424342032
oct765100343454745
9144834166132613
1034437107440101
11aa77771415a93
123a42185730519
13162a536591162
14870a9cc20389
153eabc52449d6
hex1f52038e59e5

34437107440101 has 4 divisors (see below), whose sum is σ = 45916143253472. Its totient is φ = 22958071626732.

The previous prime is 34437107440097. The next prime is 34437107440157. The reversal of 34437107440101 is 10104470173443.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 34437107440101 - 22 = 34437107440097 is a prime.

It is a super-3 number, since 3×344371074401013 (a number of 42 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 34437107440101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34437103440101) 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 3 ways as a sum of consecutive naturals, for example, 5739517906681 + ... + 5739517906686.

It is an arithmetic number, because the mean of its divisors is an integer number (11479035813368).

Almost surely, 234437107440101 is an apocalyptic number.

It is an amenable number.

34437107440101 is a deficient number, since it is larger than the sum of its proper divisors (11479035813371).

34437107440101 is a wasteful number, since it uses less digits than its factorization.

34437107440101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11479035813370.

The product of its (nonzero) digits is 112896, while the sum is 39.

The spelling of 34437107440101 in words is "thirty-four trillion, four hundred thirty-seven billion, one hundred seven million, four hundred forty thousand, one hundred one".

Divisors: 1 3 11479035813367 34437107440101