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232341143232 = 26311412719901
BaseRepresentation
bin1101100001100010011…
…1000111111011000000
3211012201020211222122010
43120120213013323000
512301313313040412
6254422553012520
722533426063222
oct3303047077300
9735636758563
10232341143232
118a598577850
12390426b4140
1318ba9733413
14b361428412
15609c89a33c
hex36189c7ec0

232341143232 has 224 divisors, whose sum is σ = 689582251008. Its totient is φ = 68428800000.

The previous prime is 232341143231. The next prime is 232341143257.

It is a happy number.

232341143232 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 232341143232.

It is not an unprimeable number, because it can be changed into a prime (232341143231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23461482 + ... + 23471382.

It is an arithmetic number, because the mean of its divisors is an integer number (3078492192).

Almost surely, 2232341143232 is an apocalyptic number.

232341143232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232341143232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344791125504).

232341143232 is an abundant number, since it is smaller than the sum of its proper divisors (457241107776).

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

232341143232 is a wasteful number, since it uses less digits than its factorization.

232341143232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10239 (or 10229 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

It can be divided in two parts, 232341 and 143232, that added together give a palindrome (375573).

The spelling of 232341143232 in words is "two hundred thirty-two billion, three hundred forty-one million, one hundred forty-three thousand, two hundred thirty-two".