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144101144 = 231131101523
BaseRepresentation
bin10001001011011…
…00111100011000
3101001011002121102
420211230330120
5243342214034
622144330532
73366560645
oct1045547430
9331132542
10144101144
1174383360
1240313a48
1323b14c65
14151d0dcc
15c9b697e
hex896cf18

144101144 has 64 divisors (see below), whose sum is σ = 307860480. Its totient is φ = 62640000.

The previous prime is 144101081. The next prime is 144101147. The reversal of 144101144 is 441101441.

It is a happy number.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144101147) 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 15 ways as a sum of consecutive naturals, for example, 275267 + ... + 275789.

It is an arithmetic number, because the mean of its divisors is an integer number (4810320).

Almost surely, 2144101144 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 144101144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153930240).

144101144 is an abundant number, since it is smaller than the sum of its proper divisors (163759336).

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

144101144 is a wasteful number, since it uses less digits than its factorization.

144101144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 144101144 is about 12004.2135935679. The cubic root of 144101144 is about 524.2709687633.

Adding to 144101144 its reverse (441101441), we get a palindrome (585202585).

The spelling of 144101144 in words is "one hundred forty-four million, one hundred one thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 31 44 62 88 101 124 202 248 341 404 523 682 808 1046 1111 1364 2092 2222 2728 3131 4184 4444 5753 6262 8888 11506 12524 16213 23012 25048 32426 34441 46024 52823 64852 68882 105646 129704 137764 178343 211292 275528 356686 422584 581053 713372 1162106 1426744 1637513 2324212 3275026 4648424 6550052 13100104 18012643 36025286 72050572 144101144