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144423216 = 24337163293
BaseRepresentation
bin10001001101110…
…11100100110000
3101001202110102000
420212323210300
5243433020331
622155254000
73402401640
oct1046734460
9331673360
10144423216
1174583333
124044a300
1323bc8732
1415276520
15ca2c0e6
hex89bb930

144423216 has 160 divisors (see below), whose sum is σ = 478302720. Its totient is φ = 40870656.

The previous prime is 144423179. The next prime is 144423221. The reversal of 144423216 is 612324441.

It is a happy number.

144423216 is a `hidden beast` number, since 1 + 4 + 442 + 3 + 216 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 144423216.

It is an unprimeable number.

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, 492766 + ... + 493058.

It is an arithmetic number, because the mean of its divisors is an integer number (2989392).

Almost surely, 2144423216 is an apocalyptic number.

144423216 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 144423216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239151360).

144423216 is an abundant number, since it is smaller than the sum of its proper divisors (333879504).

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

144423216 is a wasteful number, since it uses less digits than its factorization.

144423216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 468 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 144423216 is about 12017.6210624233. The cubic root of 144423216 is about 524.6612672091.

Adding to 144423216 its reverse (612324441), we get a palindrome (756747657).

The spelling of 144423216 in words is "one hundred forty-four million, four hundred twenty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 163 168 189 216 252 293 326 336 378 432 489 504 586 652 756 879 978 1008 1141 1172 1304 1467 1512 1758 1956 2051 2282 2344 2608 2637 2934 3024 3423 3516 3912 4102 4401 4564 4688 5274 5868 6153 6846 7032 7824 7911 8204 8802 9128 10269 10548 11736 12306 13692 14064 15822 16408 17604 18256 18459 20538 21096 23472 24612 27384 30807 31644 32816 35208 36918 41076 42192 47759 49224 54768 55377 61614 63288 70416 73836 82152 95518 98448 110754 123228 126576 143277 147672 164304 191036 221508 246456 286554 295344 334313 382072 429831 443016 492912 573108 668626 764144 859662 886032 1002939 1146216 1289493 1337252 1719324 2005878 2292432 2578986 2674504 3008817 3438648 4011756 5157972 5349008 6017634 6877296 8023512 9026451 10315944 12035268 16047024 18052902 20631888 24070536 36105804 48141072 72211608 144423216