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144252641 = 13293112343
BaseRepresentation
bin10001001100100…
…01111011100001
3101001102210102102
420212101323201
5243412041031
622151500145
73401061431
oct1046217341
9331383372
10144252641
1174477165
1240387655
1323b68bc0
14152302c1
15c9e67cb
hex8991ee1

144252641 has 16 divisors (see below), whose sum is σ = 165903360. Its totient is φ = 124407360.

The previous prime is 144252631. The next prime is 144252649. The reversal of 144252641 is 146252441.

It is a cyclic number.

It is not a de Polignac number, because 144252641 - 210 = 144251617 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 not an unprimeable number, because it can be changed into a prime (144252649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5516 + ... + 17858.

It is an arithmetic number, because the mean of its divisors is an integer number (10368960).

Almost surely, 2144252641 is an apocalyptic number.

It is an amenable number.

144252641 is a deficient number, since it is larger than the sum of its proper divisors (21650719).

144252641 is a wasteful number, since it uses less digits than its factorization.

144252641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12416.

The product of its digits is 7680, while the sum is 29.

The square root of 144252641 is about 12010.5220952297. The cubic root of 144252641 is about 524.4546306437.

The spelling of 144252641 in words is "one hundred forty-four million, two hundred fifty-two thousand, six hundred forty-one".

Divisors: 1 13 29 31 377 403 899 11687 12343 160459 357947 382633 4653311 4974229 11096357 144252641