Search a number
-
+
432343232244 = 22327112411731999
BaseRepresentation
bin1100100101010011010…
…10100010111011110100
31112022221202001210201100
412102221222202323310
524040414331412434
6530340555530100
743143603560520
oct6225152427364
91468852053640
10432343232244
111573a0535500
126b95aa59930
1331a013043a1
1416cd58d0d80
15b3a60d3699
hex64a9aa2ef4

432343232244 has 432 divisors, whose sum is σ = 1415179584000. Its totient is φ = 108870220800.

The previous prime is 432343232207. The next prime is 432343232257. The reversal of 432343232244 is 442232343234.

432343232244 is a `hidden beast` number, since 4 + 323 + 4 + 3 + 2 + 322 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 432343232199 and 432343232208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 216278757 + ... + 216280755.

Almost surely, 2432343232244 is an apocalyptic number.

432343232244 is a gapful number since it is divisible by the number (44) 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 432343232244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707589792000).

432343232244 is an abundant number, since it is smaller than the sum of its proper divisors (982836351756).

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

432343232244 is a wasteful number, since it uses less digits than its factorization.

432343232244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2252 (or 2236 counting only the distinct ones).

The product of its digits is 331776, while the sum is 36.

Adding to 432343232244 its reverse (442232343234), we get a palindrome (874575575478).

It can be divided in two parts, 4323432 and 32244, that added together give a triangular number (4355676 = T2951).

The spelling of 432343232244 in words is "four hundred thirty-two billion, three hundred forty-three million, two hundred thirty-two thousand, two hundred forty-four".