Search a number
-
+
144320312444001 = 32937431042648753
BaseRepresentation
bin100000110100001000110000…
…111101010000010001100001
3200220222212221201022100010020
4200310020300331100101201
5122404020444441202001
61230535500344224053
742253540611120111
oct4064106075202141
9626885851270106
10144320312444001
1141a9199aa51a11
121422a2b076b029
13626b468679565
14278d1d7347041
1511a418103c736
hex834230f50461

144320312444001 has 32 divisors (see below), whose sum is σ = 209197046002560. Its totient is φ = 88283155129344.

The previous prime is 144320312443987. The next prime is 144320312444023. The reversal of 144320312444001 is 100444213023441.

It is a happy number.

It is not a de Polignac number, because 144320312444001 - 225 = 144320278889569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (144320312444201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 521185960 + ... + 521462793.

It is an arithmetic number, because the mean of its divisors is an integer number (6537407687580).

Almost surely, 2144320312444001 is an apocalyptic number.

It is an amenable number.

144320312444001 is a deficient number, since it is larger than the sum of its proper divisors (64876733558559).

144320312444001 is a wasteful number, since it uses less digits than its factorization.

144320312444001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042648865.

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

Adding to 144320312444001 its reverse (100444213023441), we get a palindrome (244764525467442).

The spelling of 144320312444001 in words is "one hundred forty-four trillion, three hundred twenty billion, three hundred twelve million, four hundred forty-four thousand, one".

Divisors: 1 3 29 37 43 87 111 129 1073 1247 1591 3219 3741 4773 46139 138417 1042648753 3127946259 30236813837 38578003861 44833896379 90710441511 115734011583 134501689137 1118762111969 1300182994991 1658854166023 3356286335907 3900548984973 4976562498069 48106770814667 144320312444001