Search a number
-
+
144286956 = 2232111721433
BaseRepresentation
bin10001001100110…
…10010011101100
3101001111112111100
420212122103230
5243414140311
622152323100
73401263452
oct1046322354
9331445440
10144286956
117449aa20
12403a3490
1323b7b6c8
141523c9d2
15ca01a56
hex899a4ec

144286956 has 72 divisors (see below), whose sum is σ = 421306704. Its totient is φ = 41149440.

The previous prime is 144286949. The next prime is 144286991. The reversal of 144286956 is 659682441.

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, 3985 + ... + 17448.

It is an arithmetic number, because the mean of its divisors is an integer number (5851482).

Almost surely, 2144286956 is an apocalyptic number.

It is an amenable number.

144286956 is an abundant number, since it is smaller than the sum of its proper divisors (277019748).

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

144286956 is a wasteful number, since it uses less digits than its factorization.

144286956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21471 (or 21466 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 144286956 is about 12011.9505493488. The cubic root of 144286956 is about 524.4962133228.

The spelling of 144286956 in words is "one hundred forty-four million, two hundred eighty-six thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 306 374 396 561 612 748 1122 1683 2244 3366 6732 21433 42866 64299 85732 128598 192897 235763 257196 364361 385794 471526 707289 728722 771588 943052 1093083 1414578 1457444 2121867 2186166 2829156 3279249 4007971 4243734 4372332 6558498 8015942 8487468 12023913 13116996 16031884 24047826 36071739 48095652 72143478 144286956