Search a number
-
+
332122342240400 = 2452830305855601
BaseRepresentation
bin100101110000100000100001…
…0001110110011000010010000
31121112221120211001222221121012
41023201001002032303002100
5322012443024103143100
63134210521523150052
7126646022152440065
oct11341010216630220
91545846731887535
10332122342240400
1196908326868348
12312bb650515328
131134200560714a
145c02b42ac0c6c
15285e3e7033135
hex12e10423b3090

332122342240400 has 30 divisors (see below), whose sum is σ = 797923927233522. Its totient is φ = 132848936896000.

The previous prime is 332122342240303. The next prime is 332122342240439. The reversal of 332122342240400 is 4042243221233.

It can be written as a sum of positive squares in 3 ways, for example, as 33437121210256 + 298685221030144 = 5782484^2 + 17282512^2 .

It is a super-2 number, since 2×3321223422404002 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 415152927401 + ... + 415152928200.

Almost surely, 2332122342240400 is an apocalyptic number.

It is an amenable number.

332122342240400 is an abundant number, since it is smaller than the sum of its proper divisors (465801584993122).

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

332122342240400 is a wasteful number, since it uses less digits than its factorization.

332122342240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830305855619 (or 830305855608 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 332122342240400 its reverse (4042243221233), we get a palindrome (336164585461633).

The spelling of 332122342240400 in words is "three hundred thirty-two trillion, one hundred twenty-two billion, three hundred forty-two million, two hundred forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 830305855601 1660611711202 3321223422404 4151529278005 6642446844808 8303058556010 13284893689616 16606117112020 20757646390025 33212234224040 41515292780050 66424468448080 83030585560100 166061171120200 332122342240400