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144165854361 = 33171184711821
BaseRepresentation
bin1000011001000011110…
…1000101110010011001
3111210010011111012121110
42012100331011302121
54330222424314421
6150121234330533
713262364354204
oct2062075056231
9453104435543
10144165854361
115615a959191
1223b34a29a49
1310796973a89
146d989d693b
153b3b808a76
hex2190f45c99

144165854361 has 32 divisors (see below), whose sum is σ = 201342468096. Its totient is φ = 91642824000.

The previous prime is 144165854303. The next prime is 144165854401. The reversal of 144165854361 is 163458561441.

It is not a de Polignac number, because 144165854361 - 27 = 144165854233 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 144165854361.

It is not an unprimeable number, because it can be changed into a prime (144165859361) 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, 12189831 + ... + 12201651.

It is an arithmetic number, because the mean of its divisors is an integer number (6291952128).

Almost surely, 2144165854361 is an apocalyptic number.

It is an amenable number.

144165854361 is a deficient number, since it is larger than the sum of its proper divisors (57176613735).

144165854361 is a wasteful number, since it uses less digits than its factorization.

144165854361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13773.

The product of its digits is 1382400, while the sum is 48.

The spelling of 144165854361 in words is "one hundred forty-four billion, one hundred sixty-five million, eight hundred fifty-four thousand, three hundred sixty-one".

Divisors: 1 3 31 71 93 213 1847 2201 5541 6603 11821 35463 57257 131137 171771 366451 393411 839291 1099353 2517873 4065247 12195741 21833387 26018021 65500161 78054063 676834997 1550170477 2030504991 4650511431 48055284787 144165854361