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144120004302313 = 131071427280325903
BaseRepresentation
bin100000110001001110001101…
…101010010101010111101001
3200220021201220220012102200201
4200301032031222111113221
5122342230232100133223
61230303452125432201
742233220026033614
oct4061161552252751
9626251826172621
10144120004302313
1141a14a50256366
12141b7509a0b661
1362555c556b830
14278363437317b
15119dd5a9ebead
hex83138da955e9

144120004302313 has 32 divisors (see below), whose sum is σ = 156828446078976. Its totient is φ = 131646120948288.

The previous prime is 144120004302259. The next prime is 144120004302371. The reversal of 144120004302313 is 313203400021441.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 144120004302313 - 237 = 143982565348841 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (144120004302383) 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 31 ways as a sum of consecutive naturals, for example, 5563821520 + ... + 5563847422.

It is an arithmetic number, because the mean of its divisors is an integer number (4900888939968).

Almost surely, 2144120004302313 is an apocalyptic number.

144120004302313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

144120004302313 is a deficient number, since it is larger than the sum of its proper divisors (12708441776663).

144120004302313 is a wasteful number, since it uses less digits than its factorization.

144120004302313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30253.

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 144120004302313 its reverse (313203400021441), we get a palindrome (457323404323754).

The spelling of 144120004302313 in words is "one hundred forty-four trillion, one hundred twenty billion, four million, three hundred two thousand, three hundred thirteen".

Divisors: 1 13 107 1391 1427 2803 18551 25903 36439 152689 299921 336739 1984957 2771621 3898973 3999881 36031073 36963581 51998453 72606109 427987267 480526553 943879417 3955103167 5563834471 7768853663 51416341171 100995097619 103608917543 1346915928059 11086154177101 144120004302313