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144042368 = 273121171
BaseRepresentation
bin10001001010111…
…10100110000000
3101001001002222112
420211132212000
5243333323433
622143154452
73366224411
oct1045364600
9331032875
10144042368
1174343188
12402a5a28
1323ac4292
14151b7808
15c9a4348
hex895e980

144042368 has 48 divisors (see below), whose sum is σ = 296767980. Its totient is φ = 69638400.

The previous prime is 144042341. The next prime is 144042403. The reversal of 144042368 is 863240441.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 122423 + ... + 123593.

Almost surely, 2144042368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144042368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148383990).

144042368 is an abundant number, since it is smaller than the sum of its proper divisors (152725612).

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

144042368 is an equidigital number, since it uses as much as digits as its factorization.

144042368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 144042368 is about 12001.7652035024. The cubic root of 144042368 is about 524.1996791582.

The spelling of 144042368 in words is "one hundred forty-four million, forty-two thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 496 961 992 1171 1922 1984 2342 3844 3968 4684 7688 9368 15376 18736 30752 36301 37472 61504 72602 74944 123008 145204 149888 290408 580816 1125331 1161632 2250662 2323264 4501324 4646528 9002648 18005296 36010592 72021184 144042368