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144042261 = 311231011879
BaseRepresentation
bin10001001010111…
…10100100010101
3101001001002211120
420211132210111
5243333323021
622143154153
73366224166
oct1045364425
9331032746
10144042261
11743430a0
12402a5959
1323ac420c
14151b776d
15c9a42c6
hex895e915

144042261 has 32 divisors (see below), whose sum is σ = 220907520. Its totient is φ = 82632000.

The previous prime is 144042253. The next prime is 144042277. The reversal of 144042261 is 162240441.

It is a happy number.

It is not a de Polignac number, because 144042261 - 23 = 144042253 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144042281) 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 31 ways as a sum of consecutive naturals, for example, 75720 + ... + 77598.

It is an arithmetic number, because the mean of its divisors is an integer number (6903360).

Almost surely, 2144042261 is an apocalyptic number.

144042261 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

144042261 is a deficient number, since it is larger than the sum of its proper divisors (76865259).

144042261 is a wasteful number, since it uses less digits than its factorization.

144042261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2017.

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 144042261 is about 12001.7607458239. The cubic root of 144042261 is about 524.1995493599.

The spelling of 144042261 in words is "one hundred forty-four million, forty-two thousand, two hundred sixty-one".

Divisors: 1 3 11 23 33 69 101 253 303 759 1111 1879 2323 3333 5637 6969 20669 25553 43217 62007 76659 129651 189779 475387 569337 1426161 2087569 4364917 6262707 13094751 48014087 144042261