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144424224 = 25327711009
BaseRepresentation
bin10001001101110…
…11110100100000
3101001202111210100
420212323310200
5243433033344
622155302400
73402404610
oct1046736440
9331674710
10144424224
117458406a
124044aa00
1323bc9029
1415276a40
15ca2c569
hex89bbd20

144424224 has 144 divisors (see below), whose sum is σ = 476461440. Its totient is φ = 40642560.

The previous prime is 144424223. The next prime is 144424261. The reversal of 144424224 is 422424441.

144424224 is a `hidden beast` number, since 14 + 4 + 424 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144424223) 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 23 ways as a sum of consecutive naturals, for example, 142632 + ... + 143640.

It is an arithmetic number, because the mean of its divisors is an integer number (3308760).

Almost surely, 2144424224 is an apocalyptic number.

144424224 is a gapful number since it is divisible by the number (14) 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 144424224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238230720).

144424224 is an abundant number, since it is smaller than the sum of its proper divisors (332037216).

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

144424224 is a wasteful number, since it uses less digits than its factorization.

144424224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1092 counting only the distinct ones).

The product of its digits is 8192, while the sum is 27.

The square root of 144424224 is about 12017.6630007668. The cubic root of 144424224 is about 524.6624878285.

Adding to 144424224 its reverse (422424441), we get a palindrome (566848665).

The spelling of 144424224 in words is "one hundred forty-four million, four hundred twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 71 72 84 96 112 126 142 144 168 213 224 252 284 288 336 426 497 504 568 639 672 852 994 1008 1009 1136 1278 1491 1704 1988 2016 2018 2272 2556 2982 3027 3408 3976 4036 4473 5112 5964 6054 6816 7063 7952 8072 8946 9081 10224 11928 12108 14126 15904 16144 17892 18162 20448 21189 23856 24216 28252 32288 35784 36324 42378 47712 48432 56504 63567 71568 71639 72648 84756 96864 113008 127134 143136 143278 145296 169512 214917 226016 254268 286556 290592 339024 429834 501473 508536 573112 644751 678048 859668 1002946 1017072 1146224 1289502 1504419 1719336 2005892 2034144 2292448 2579004 3008838 3438672 4011784 4513257 5158008 6017676 6877344 8023568 9026514 10316016 12035352 16047136 18053028 20632032 24070704 36106056 48141408 72212112 144424224