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144133442313 = 37211311104593
BaseRepresentation
bin1000011000111100000…
…1011100101100001001
3111210000220111111122020
42012033001130230021
54330141130123223
6150114115515053
713261522021350
oct2061701345411
9453026444566
10144133442313
1156143630573
1223b25bb8a89
1310790035c53
146d9459a997
153b38a551e3
hex218f05cb09

144133442313 has 32 divisors (see below), whose sum is σ = 221384497152. Its totient is φ = 81707270400.

The previous prime is 144133442279. The next prime is 144133442339. The reversal of 144133442313 is 313244331441.

It is not a de Polignac number, because 144133442313 - 212 = 144133438217 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (144133442363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1325745 + ... + 1430337.

It is an arithmetic number, because the mean of its divisors is an integer number (6918265536).

Almost surely, 2144133442313 is an apocalyptic number.

It is an amenable number.

144133442313 is a deficient number, since it is larger than the sum of its proper divisors (77251054839).

144133442313 is a wasteful number, since it uses less digits than its factorization.

144133442313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105125.

The product of its digits is 41472, while the sum is 33.

Adding to 144133442313 its reverse (313244331441), we get a palindrome (457377773754).

The spelling of 144133442313 in words is "one hundred forty-four billion, one hundred thirty-three million, four hundred forty-two thousand, three hundred thirteen".

Divisors: 1 3 7 21 211 311 633 933 1477 2177 4431 6531 65621 104593 196863 313779 459347 732151 1378041 2196453 22069123 32528423 66207369 97585269 154483861 227698961 463451583 683096883 6863497253 20590491759 48044480771 144133442313