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144090441 = 33114111833
BaseRepresentation
bin10001001011010…
…10010101001001
3101001010112221000
420211222111021
5243341343231
622144205213
73366514515
oct1045522511
9331115830
10144090441
1174376310
1240309809
1323b10121
14151cb145
15c9b36e6
hex896a549

144090441 has 32 divisors (see below), whose sum is σ = 238573440. Its totient is φ = 85190400.

The previous prime is 144090413. The next prime is 144090451.

144090441 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 144090441 - 27 = 144090313 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (144090451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6261 + ... + 18093.

It is an arithmetic number, because the mean of its divisors is an integer number (7455420).

Almost surely, 2144090441 is an apocalyptic number.

144090441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

144090441 is a deficient number, since it is larger than the sum of its proper divisors (94482999).

144090441 is a wasteful number, since it uses less digits than its factorization.

144090441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11894 (or 11888 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 144090441 is about 12003.7677834920. The cubic root of 144090441 is about 524.2579885029.

The spelling of 144090441 in words is "one hundred forty-four million, ninety thousand, four hundred forty-one".

Divisors: 1 3 9 11 27 33 41 99 123 297 369 451 1107 1353 4059 11833 12177 35499 106497 130163 319491 390489 485153 1171467 1455459 3514401 4366377 5336683 13099131 16010049 48030147 144090441