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144189007199 = 2947105787973
BaseRepresentation
bin1000011001001001010…
…1011010010101011111
3111210011210001111022222
42012102111122111133
54330244341212244
6150123422455555
713263065224166
oct2062225322537
9453153044288
10144189007199
1156171a32266
1223b407345bb
131079b6bc293
146d9bb023dd
153b3d87dbee
hex219255a55f

144189007199 has 8 divisors (see below), whose sum is σ = 152334682560. Its totient is φ = 136254907936.

The previous prime is 144189007189. The next prime is 144189007201. The reversal of 144189007199 is 991700981441.

It is a happy number.

144189007199 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-144189007199 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 144189007199.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144189007139) 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 7 ways as a sum of consecutive naturals, for example, 52892624 + ... + 52895349.

It is an arithmetic number, because the mean of its divisors is an integer number (19041835320).

Almost surely, 2144189007199 is an apocalyptic number.

144189007199 is a deficient number, since it is larger than the sum of its proper divisors (8145675361).

144189007199 is a wasteful number, since it uses less digits than its factorization.

144189007199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105788049.

The product of its (nonzero) digits is 653184, while the sum is 53.

The spelling of 144189007199 in words is "one hundred forty-four billion, one hundred eighty-nine million, seven thousand, one hundred ninety-nine".

Divisors: 1 29 47 1363 105787973 3067851217 4972034731 144189007199