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144140023032 = 2336005834293
BaseRepresentation
bin1000011000111101101…
…0100011010011111000
3111210001100212211200120
42012033122203103320
54330144321214112
6150114512533240
713261631660205
oct2061732432370
9453040784616
10144140023032
1156147315785
1223b28251220
13107914cb375
146d953d0cac
153b39404e8c
hex218f6a34f8

144140023032 has 16 divisors (see below), whose sum is σ = 360350057640. Its totient is φ = 48046674336.

The previous prime is 144140023007. The next prime is 144140023087. The reversal of 144140023032 is 230320041441.

144140023032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 6005834293 = 144140023032 / (1 + 4 + 4 + 1 + 4 + 0 + 0 + 2 + 3 + 0 + 3 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 144140022993 and 144140023011.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 3002917123 + ... + 3002917170.

Almost surely, 2144140023032 is an apocalyptic number.

144140023032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144140023032 is an abundant number, since it is smaller than the sum of its proper divisors (216210034608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

144140023032 is a wasteful number, since it uses less digits than its factorization.

144140023032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6005834302 (or 6005834298 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 144140023032 its reverse (230320041441), we get a palindrome (374460064473).

The spelling of 144140023032 in words is "one hundred forty-four billion, one hundred forty million, twenty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 6005834293 12011668586 18017502879 24023337172 36035005758 48046674344 72070011516 144140023032