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144534016 = 291122333
BaseRepresentation
bin10001001110101…
…10101000000000
3101001222002101201
420213112220000
5244000042031
622201510544
73403342654
oct1047265000
9331862351
10144534016
1174649600
12404a2454
1323c36cb3
14152a4a64
15ca4ed61
hex89d6a00

144534016 has 60 divisors (see below), whose sum is σ = 317561706. Its totient is φ = 65669120.

The previous prime is 144533993. The next prime is 144534031. The reversal of 144534016 is 610435441.

It can be written as a sum of positive squares in only one way, i.e., 130873600 + 13660416 = 11440^2 + 3696^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 60786 + ... + 63118.

Almost surely, 2144534016 is an apocalyptic number.

144534016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144534016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158780853).

144534016 is an abundant number, since it is smaller than the sum of its proper divisors (173027690).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

144534016 is an equidigital number, since it uses as much as digits as its factorization.

144534016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2373 (or 2346 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 144534016 is about 12022.2300759884. The cubic root of 144534016 is about 524.7954044809.

Adding to 144534016 its reverse (610435441), we get a palindrome (754969457).

The spelling of 144534016 in words is "one hundred forty-four million, five hundred thirty-four thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 704 968 1408 1936 2333 2816 3872 4666 5632 7744 9332 15488 18664 25663 30976 37328 51326 61952 74656 102652 149312 205304 282293 298624 410608 564586 597248 821216 1129172 1194496 1642432 2258344 3284864 4516688 6569728 9033376 13139456 18066752 36133504 72267008 144534016