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144104111133001 = 757274181018573
BaseRepresentation
bin100000110000111111011010…
…010110101101000101001001
3200220020012220021101210001021
4200300333122112231011021
5122342000204422224001
61230252303103552441
742232115132235205
oct4060773226550511
9626205807353037
10144104111133001
1141a09234a47a98
12141b44132bb721
136253c6197b236
14278296768db05
15119d72a5a9ba1
hex830fda5ad149

144104111133001 has 16 divisors (see below), whose sum is σ = 144381774158928. Its totient is φ = 143826707808000.

The previous prime is 144104111132953. The next prime is 144104111133019. The reversal of 144104111133001 is 100331111401441.

It can be written as a sum of positive squares in 8 ways, for example, as 8522306651401 + 135581804481600 = 2919299^2 + 11643960^2 .

It is a cyclic number.

It is not a de Polignac number, because 144104111133001 - 219 = 144104110608713 is a prime.

It is a super-2 number, since 2×1441041111330012 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (144104151133001) 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 15 ways as a sum of consecutive naturals, for example, 16809060351 + ... + 16809068923.

It is an arithmetic number, because the mean of its divisors is an integer number (9023860884933).

Almost surely, 2144104111133001 is an apocalyptic number.

It is an amenable number.

144104111133001 is a deficient number, since it is larger than the sum of its proper divisors (277663025927).

144104111133001 is an equidigital number, since it uses as much as digits as its factorization.

144104111133001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20172.

The product of its (nonzero) digits is 576, while the sum is 25.

Adding to 144104111133001 its reverse (100331111401441), we get a palindrome (244435222534442).

The spelling of 144104111133001 in words is "one hundred forty-four trillion, one hundred four billion, one hundred eleven million, one hundred thirty-three thousand, one".

Divisors: 1 757 2741 8101 8573 2074937 6132457 6489761 22204841 23498593 69449873 16809064637 17788434901 52573553861 190362101893 144104111133001