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144095720401 = 10113928333623
BaseRepresentation
bin1000011000110011000…
…1100011001111010001
3111202221021112000220101
42012030301203033101
54330102001023101
6150110251212401
713260553262053
oct2061461431721
9452837460811
10144095720401
1156124306536
1223b15447101
13107852892a9
146d8d57b8d3
153b355a3401
hex218cc633d1

144095720401 has 16 divisors (see below), whose sum is σ = 146661540480. Its totient is φ = 141553555200.

The previous prime is 144095720389. The next prime is 144095720437. The reversal of 144095720401 is 104027590441.

It is a cyclic number.

It is not a de Polignac number, because 144095720401 - 25 = 144095720369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (144095720441) 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 15 ways as a sum of consecutive naturals, for example, 39770676 + ... + 39774298.

It is an arithmetic number, because the mean of its divisors is an integer number (9166346280).

Almost surely, 2144095720401 is an apocalyptic number.

It is an amenable number.

144095720401 is a deficient number, since it is larger than the sum of its proper divisors (2565820079).

144095720401 is a wasteful number, since it uses less digits than its factorization.

144095720401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6696.

The product of its (nonzero) digits is 40320, while the sum is 37.

The spelling of 144095720401 in words is "one hundred forty-four billion, ninety-five million, seven hundred twenty thousand, four hundred one".

Divisors: 1 101 139 2833 3623 14039 286133 365923 393787 503597 10263959 39772487 50863297 1036659859 1426690301 144095720401