Search a number
-
+
144401334042012 = 22361319630415177
BaseRepresentation
bin100000110101010100001110…
…001110000111110110011100
3200221021122002020201222010120
4200311110032032013312130
5122411332413003321022
61231041020154234540
742262436446255425
oct4065241616076634
9627248066658116
10144401334042012
1142013297593773
1214241b42725a50
136275cab341128
1427930c1a5264c
1511a6324056d5c
hex83550e387d9c

144401334042012 has 24 divisors (see below), whose sum is σ = 337486097740176. Its totient is φ = 48055256350848.

The previous prime is 144401334041999. The next prime is 144401334042019. The reversal of 144401334042012 is 210240433104441.

It is a happy number.

It is a super-2 number, since 2×1444013340420122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144401334042019) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 9815200233 + ... + 9815214944.

It is an arithmetic number, because the mean of its divisors is an integer number (14061920739174).

Almost surely, 2144401334042012 is an apocalyptic number.

144401334042012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144401334042012 is an abundant number, since it is smaller than the sum of its proper divisors (193084763698164).

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

144401334042012 is a wasteful number, since it uses less digits than its factorization.

144401334042012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19630415797 (or 19630415795 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 144401334042012 its reverse (210240433104441), we get a palindrome (354641767146453).

The spelling of 144401334042012 in words is "one hundred forty-four trillion, four hundred one billion, three hundred thirty-four million, forty-two thousand, twelve".

Divisors: 1 2 3 4 6 12 613 1226 1839 2452 3678 7356 19630415177 39260830354 58891245531 78521660708 117782491062 235564982124 12033444503501 24066889007002 36100333510503 48133778014004 72200667021006 144401334042012