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144311888 = 24729157283
BaseRepresentation
bin10001001101000…
…00011001010000
3101001112210200202
420212200121100
5243420440023
622153034332
73401426240
oct1046403120
9331483622
10144311888
1174507726
12403b59a8
1323b89b66
1415247b20
15ca09128
hex89a0650

144311888 has 80 divisors (see below), whose sum is σ = 333847680. Its totient is φ = 59125248.

The previous prime is 144311833. The next prime is 144311891. The reversal of 144311888 is 888113441.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 509795 + ... + 510077.

It is an arithmetic number, because the mean of its divisors is an integer number (4173096).

Almost surely, 2144311888 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 144311888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166923840).

144311888 is an abundant number, since it is smaller than the sum of its proper divisors (189535792).

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

144311888 is a wasteful number, since it uses less digits than its factorization.

144311888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 478 counting only the distinct ones).

The product of its digits is 24576, while the sum is 38.

The square root of 144311888 is about 12012.9883043313. The cubic root of 144311888 is about 524.5264216124.

It can be divided in two parts, 1443 and 11888, that added together give a palindrome (13331).

The spelling of 144311888 in words is "one hundred forty-four million, three hundred eleven thousand, eight hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 112 116 157 203 232 283 314 406 464 566 628 812 1099 1132 1256 1624 1981 2198 2264 2512 3248 3962 4396 4528 4553 7924 8207 8792 9106 15848 16414 17584 18212 31696 31871 32828 36424 44431 57449 63742 65656 72848 88862 114898 127484 131312 177724 229796 254968 311017 355448 459592 509936 622034 710896 919184 1244068 1288499 2488136 2576998 4976272 5153996 9019493 10307992 18038986 20615984 36077972 72155944 144311888