Search a number
-
+
21341144232 = 2332296404781
BaseRepresentation
bin10011111000000010…
…000000010010101000
32001002022010110021100
4103320002000102220
5322201313103412
613445354441400
71353565506252
oct237002002250
961068113240
1021341144232
119061579591
124177133260
1320214ba1c5
141066476cd2
1584d886edc
hex4f80804a8

21341144232 has 24 divisors (see below), whose sum is σ = 57798932490. Its totient is φ = 7113714720.

The previous prime is 21341144221. The next prime is 21341144257. The reversal of 21341144232 is 23244114312.

21341144232 is a `hidden beast` number, since 2 + 13 + 411 + 4 + 4 + 232 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19562497956 + 1778646276 = 139866^2 + 42174^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 = 21341144196 and 21341144205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 148202319 + ... + 148202462.

Almost surely, 221341144232 is an apocalyptic number.

It is an amenable number.

21341144232 is an abundant number, since it is smaller than the sum of its proper divisors (36457788258).

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

21341144232 is a wasteful number, since it uses less digits than its factorization.

21341144232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296404793 (or 296404786 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 21341144232 its reverse (23244114312), we get a palindrome (44585258544).

The spelling of 21341144232 in words is "twenty-one billion, three hundred forty-one million, one hundred forty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 296404781 592809562 889214343 1185619124 1778428686 2371238248 2667643029 3556857372 5335286058 7113714744 10670572116 21341144232