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144041304 = 233112193257
BaseRepresentation
bin10001001010111…
…10010101011000
3101001001001112010
420211132111120
5243333310204
622143145520
73366221331
oct1045362530
9331031463
10144041304
1174342400
12402a52a0
1323ac3954
14151b7288
15c9a3d89
hex895e558

144041304 has 96 divisors (see below), whose sum is σ = 399414960. Its totient is φ = 43253760.

The previous prime is 144041291. The next prime is 144041311. The reversal of 144041304 is 403140441.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 560344 + ... + 560600.

Almost surely, 2144041304 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 144041304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199707480).

144041304 is an abundant number, since it is smaller than the sum of its proper divisors (255373656).

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

144041304 is a wasteful number, since it uses less digits than its factorization.

144041304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 144041304 is about 12001.7208766077. The cubic root of 144041304 is about 524.1983884504.

Adding to 144041304 its reverse (403140441), we get a palindrome (547181745).

The spelling of 144041304 in words is "one hundred forty-four million, forty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 193 242 257 264 363 386 484 514 579 726 771 772 968 1028 1158 1452 1542 1544 2056 2123 2316 2827 2904 3084 4246 4632 5654 6168 6369 8481 8492 11308 12738 16962 16984 22616 23353 25476 31097 33924 46706 49601 50952 62194 67848 70059 93291 93412 99202 124388 140118 148803 186582 186824 198404 248776 280236 297606 373164 396808 545611 560472 595212 746328 1091222 1190424 1636833 2182444 3273666 4364888 6001721 6547332 12003442 13094664 18005163 24006884 36010326 48013768 72020652 144041304