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144023331131 = 375983794879
BaseRepresentation
bin1000011000100001110…
…1011010000100111011
3111202202020022021111022
42012020131122010323
54324424433044011
6150055143453055
713256014054451
oct2061035320473
9452666267438
10144023331131
1156097463399
1223ab515718b
13107732920c4
146d83ad69d1
153b2e0548db
hex218875a13b

144023331131 has 16 divisors (see below), whose sum is σ = 152235417600. Its totient is φ = 136095831648.

The previous prime is 144023331113. The next prime is 144023331223. The reversal of 144023331131 is 131133320441.

It is a cyclic number.

It is not a de Polignac number, because 144023331131 - 210 = 144023330107 is a prime.

It is a super-2 number, since 2×1440233311312 (a number of 23 digits) contains 22 as substring.

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 144023331131.

It is not an unprimeable number, because it can be changed into a prime (144023336131) 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, 216251 + ... + 578628.

It is an arithmetic number, because the mean of its divisors is an integer number (9514713600).

Almost surely, 2144023331131 is an apocalyptic number.

144023331131 is a deficient number, since it is larger than the sum of its proper divisors (8212086469).

144023331131 is an equidigital number, since it uses as much as digits as its factorization.

144023331131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795058.

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 144023331131 its reverse (131133320441), we get a palindrome (275156651572).

The spelling of 144023331131 in words is "one hundred forty-four billion, twenty-three million, three hundred thirty-one thousand, one hundred thirty-one".

Divisors: 1 37 59 83 2183 3071 4897 181189 794879 29410523 46897861 65974957 1735220857 2441073409 3892522463 144023331131