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144207980337 = 31033121149533
BaseRepresentation
bin1000011001001101110…
…1110010011100110001
3111210020002202102120210
42012103131302130301
54330314220332322
6150125341254333
713263415415361
oct2062335623461
9453202672523
10144207980337
1156181711043
1223b46b643a9
13107a26031a5
146da04409a1
153b4037a70c
hex2193772731

144207980337 has 16 divisors (see below), whose sum is σ = 194207581568. Its totient is φ = 95174127360.

The previous prime is 144207980303. The next prime is 144207980353. The reversal of 144207980337 is 733089702441.

144207980337 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 144207980337 - 234 = 127028111153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (144207980377) 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, 889623 + ... + 1039155.

It is an arithmetic number, because the mean of its divisors is an integer number (12137973848).

Almost surely, 2144207980337 is an apocalyptic number.

It is an amenable number.

144207980337 is a deficient number, since it is larger than the sum of its proper divisors (49999601231).

144207980337 is a wasteful number, since it uses less digits than its factorization.

144207980337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152760.

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 144207980337 in words is "one hundred forty-four billion, two hundred seven million, nine hundred eighty thousand, three hundred thirty-seven".

Divisors: 1 3 103 309 3121 9363 149533 321463 448599 964389 15401899 46205697 466692493 1400077479 48069326779 144207980337