Search a number
-
+
241482212928 = 2634112478191
BaseRepresentation
bin1110000011100101110…
…1100010011001000000
3212002022022101102220000
43200321131202121000
512424023421303203
6302534013520000
723306103641205
oct3407135423100
9762268342800
10241482212928
1193459460800
123a973aa3000
1319a054a68b8
14b98b481cac
1564351404a3
hex3839762640

241482212928 has 420 divisors, whose sum is σ = 803659186176. Its totient is φ = 71610739200.

The previous prime is 241482212843. The next prime is 241482212929. The reversal of 241482212928 is 829212284142.

It is a happy number.

241482212928 is a `hidden beast` number, since 2 + 41 + 482 + 2 + 129 + 2 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (241482212929) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 29477313 + ... + 29485503.

Almost surely, 2241482212928 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 241482212928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401829593088).

241482212928 is an abundant number, since it is smaller than the sum of its proper divisors (562176973248).

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

241482212928 is a wasteful number, since it uses less digits than its factorization.

241482212928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8284 (or 8254 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The spelling of 241482212928 in words is "two hundred forty-one billion, four hundred eighty-two million, two hundred twelve thousand, nine hundred twenty-eight".