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144300013 = 111397101103
BaseRepresentation
bin10001001100111…
…01011111101101
3101001112012101221
420212131133231
5243420100023
622152503341
73401346514
oct1046353755
9331465357
10144300013
11744a9810
12403aab51
1323b84630
141524367b
15ca0585d
hex899d7ed

144300013 has 32 divisors (see below), whose sum is σ = 174650112. Its totient is φ = 117504000.

The previous prime is 144300001. The next prime is 144300019. The reversal of 144300013 is 310003441.

It is a cyclic number.

It is not a de Polignac number, because 144300013 - 29 = 144299501 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 144300013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144300019) 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 31 ways as a sum of consecutive naturals, for example, 1400920 + ... + 1401022.

It is an arithmetic number, because the mean of its divisors is an integer number (5457816).

Almost surely, 2144300013 is an apocalyptic number.

144300013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

144300013 is a deficient number, since it is larger than the sum of its proper divisors (30350099).

144300013 is a wasteful number, since it uses less digits than its factorization.

144300013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325.

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 144300013 is about 12012.4940374595. The cubic root of 144300013 is about 524.5120339732.

Adding to 144300013 its reverse (310003441), we get a palindrome (454303454).

The spelling of 144300013 in words is "one hundred forty-four million, three hundred thousand, thirteen".

Divisors: 1 11 13 97 101 103 143 1067 1111 1133 1261 1313 1339 9797 9991 10403 13871 14443 14729 107767 109901 114433 127361 129883 135239 1009091 1400971 1428713 1487629 11100001 13118183 144300013