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144130420001 = 192521766321
BaseRepresentation
bin1000011000111011010…
…1111010110100100001
3111210000200210221210202
42012032311322310201
54330134341420001
6150113531034545
713261454233061
oct2061665726441
9453020727722
10144130420001
1156141956897
1223b24b9ba55
131078c5183b9
146d940113a1
153b3865996b
hex218ed7ad21

144130420001 has 12 divisors (see below), whose sum is σ = 152407652004. Its totient is φ = 136282348800.

The previous prime is 144130419989. The next prime is 144130420037. The reversal of 144130420001 is 100024031441.

144130420001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 22189081600 + 121941338401 = 148960^2 + 349201^2 .

It is a de Polignac number, because none of the positive numbers 2k-144130420001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (144130440001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 195080 + ... + 571241.

It is an arithmetic number, because the mean of its divisors is an integer number (12700637667).

Almost surely, 2144130420001 is an apocalyptic number.

It is an amenable number.

144130420001 is a deficient number, since it is larger than the sum of its proper divisors (8277232003).

144130420001 is an equidigital number, since it uses as much as digits as its factorization.

144130420001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766880 (or 766861 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 144130420001 its reverse (100024031441), we get a palindrome (244154451442).

The spelling of 144130420001 in words is "one hundred forty-four billion, one hundred thirty million, four hundred twenty thousand, one".

Divisors: 1 19 361 521 9899 188081 766321 14560099 276641881 399253241 7585811579 144130420001