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144414213311 = 1929436095227
BaseRepresentation
bin1000011001111111000…
…0100000010010111111
3111210202110211011001002
42012133300200102333
54331230014311221
6150202025440515
713301501362604
oct2063760402277
9453673734032
10144414213311
1156278070a15
1223ba404013b
1310806260534
146dbd9a66ab
153b5351680b
hex219fc204bf

144414213311 has 16 divisors (see below), whose sum is σ = 160914019200. Its totient is φ = 129023743968.

The previous prime is 144414213289. The next prime is 144414213409. The reversal of 144414213311 is 113312414441.

It is a happy number.

144414213311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-144414213311 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144414213011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3023921 + ... + 3071306.

It is an arithmetic number, because the mean of its divisors is an integer number (10057126200).

Almost surely, 2144414213311 is an apocalyptic number.

144414213311 is a deficient number, since it is larger than the sum of its proper divisors (16499805889).

144414213311 is a wasteful number, since it uses less digits than its factorization.

144414213311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6095318.

The product of its digits is 4608, while the sum is 29.

Adding to 144414213311 its reverse (113312414441), we get a palindrome (257726627752).

The spelling of 144414213311 in words is "one hundred forty-four billion, four hundred fourteen million, two hundred thirteen thousand, three hundred eleven".

Divisors: 1 19 29 43 551 817 1247 23693 6095227 115809313 176761583 262094761 3358470077 4979800459 7600748069 144414213311