Search a number
-
+
342244332353232 = 2432231601213730203
BaseRepresentation
bin100110111010001001111011…
…1110110110011011011010000
31122212210020102222011000111200
41031310103313312303123100
5324324312343040300412
63211520513055511200
7132042223414012131
oct11564236766633320
91585706388130450
10342244332353232
119a06000835a731
12324752b2528500
13118c766b04198a
1460729dd599c88
1529878619d99dc
hex13744f7db36d0

342244332353232 has 240 divisors, whose sum is σ = 1000578028514688. Its totient is φ = 108998583091200.

The previous prime is 342244332353177. The next prime is 342244332353257. The reversal of 342244332353232 is 232353233442243.

342244332353232 is a `hidden beast` number, since 3 + 4 + 2 + 2 + 4 + 43 + 323 + 53 + 232 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11331453043 + ... + 11331483245.

Almost surely, 2342244332353232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342244332353232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500289014257344).

342244332353232 is an abundant number, since it is smaller than the sum of its proper divisors (658333696161456).

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

342244332353232 is a wasteful number, since it uses less digits than its factorization.

342244332353232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33978 (or 33969 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 45.

Adding to 342244332353232 its reverse (232353233442243), we get a palindrome (574597565795475).

The spelling of 342244332353232 in words is "three hundred forty-two trillion, two hundred forty-four billion, three hundred thirty-two million, three hundred fifty-three thousand, two hundred thirty-two".