Search a number
-
+
144404014011024 = 2433008416958563
BaseRepresentation
bin100000110101010110101101…
…111101011001001010010000
3200221021220000000120111111010
4200311112231331121022100
5122411403410041323044
61231042142131250520
742262563040523235
oct4065265575311220
9627256000514433
10144404014011024
1142014442339099
1214242570149a40
136276317633301
14279329794d78c
1511a642e481bb9
hex8355adf59290

144404014011024 has 20 divisors (see below), whose sum is σ = 373043702861936. Its totient is φ = 48134671336992.

The previous prime is 144404014010989. The next prime is 144404014011071. The reversal of 144404014011024 is 420110410404441.

It is a junction number, because it is equal to n+sod(n) for n = 144404014010982 and 144404014011000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1504208479234 + ... + 1504208479329.

Almost surely, 2144404014011024 is an apocalyptic number.

It is an amenable number.

144404014011024 is an abundant number, since it is smaller than the sum of its proper divisors (228639688850912).

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

144404014011024 is a wasteful number, since it uses less digits than its factorization.

144404014011024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3008416958574 (or 3008416958568 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

Adding to 144404014011024 its reverse (420110410404441), we get a palindrome (564514424415465).

The spelling of 144404014011024 in words is "one hundred forty-four trillion, four hundred four billion, fourteen million, eleven thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 3008416958563 6016833917126 9025250875689 12033667834252 18050501751378 24067335668504 36101003502756 48134671337008 72202007005512 144404014011024