Search a number
-
+
34412650450206 = 237819348820243
BaseRepresentation
bin1111101001100010100011…
…10011100100110100011110
311111211211001210000021200220
413310301101303210310132
514002304102003401311
6201104541532302210
710151142362350350
oct764612163446436
9144754053007626
1034412650450206
11aa68361052546
123a3949b011966
1316281396bb6c2
1486d81ca270d0
153ea243084206
hex1f4c51ce4d1e

34412650450206 has 16 divisors (see below), whose sum is σ = 78657486743424. Its totient is φ = 9832185842904.

The previous prime is 34412650450177. The next prime is 34412650450207. The reversal of 34412650450206 is 60205405621443.

It is a happy number.

It is a super-2 number, since 2×344126504502062 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42), and also a Moran number because the ratio is a prime number: 819348820243 = 34412650450206 / (3 + 4 + 4 + 1 + 2 + 6 + 5 + 0 + 4 + 5 + 0 + 2 + 0 + 6).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34412650450207) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 409674410080 + ... + 409674410163.

It is an arithmetic number, because the mean of its divisors is an integer number (4916092921464).

Almost surely, 234412650450206 is an apocalyptic number.

34412650450206 is an abundant number, since it is smaller than the sum of its proper divisors (44244836293218).

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

34412650450206 is a wasteful number, since it uses less digits than its factorization.

34412650450206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819348820255.

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 34412650450206 in words is "thirty-four trillion, four hundred twelve billion, six hundred fifty million, four hundred fifty thousand, two hundred six".

Divisors: 1 2 3 6 7 14 21 42 819348820243 1638697640486 2458046460729 4916092921458 5735441741701 11470883483402 17206325225103 34412650450206