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144314765 = 5723315783
BaseRepresentation
bin10001001101000…
…01000110001101
3101001112221122022
420212201012031
5243421033030
622153055525
73401440520
oct1046410615
9331487568
10144314765
1174509901
12403b75a5
1323b8b26a
1415248bb7
15ca09de5
hex89a118d

144314765 has 32 divisors (see below), whose sum is σ = 213221376. Its totient is φ = 91586880.

The previous prime is 144314761. The next prime is 144314771. The reversal of 144314765 is 567413441.

It is not a de Polignac number, because 144314765 - 22 = 144314761 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144314761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22064 + ... + 27846.

It is an arithmetic number, because the mean of its divisors is an integer number (6663168).

Almost surely, 2144314765 is an apocalyptic number.

It is an amenable number.

144314765 is a deficient number, since it is larger than the sum of its proper divisors (68906611).

144314765 is a wasteful number, since it uses less digits than its factorization.

144314765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5849.

The product of its digits is 40320, while the sum is 35.

The square root of 144314765 is about 12013.1080491270. The cubic root of 144314765 is about 524.5299072400.

The spelling of 144314765 in words is "one hundred forty-four million, three hundred fourteen thousand, seven hundred sixty-five".

Divisors: 1 5 7 23 31 35 115 155 161 217 713 805 1085 3565 4991 5783 24955 28915 40481 133009 179273 202405 665045 896365 931063 1254911 4123279 4655315 6274555 20616395 28862953 144314765