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144124344 = 233271321997
BaseRepresentation
bin10001001011100…
…10100110111000
3101001012021102200
420211302212320
5243343434334
622145030200
73400015410
oct1045624670
9331167380
10144124344
1174399831
1240325360
1323b226a0
14151d9640
15c9bd799
hex89729b8

144124344 has 96 divisors (see below), whose sum is σ = 480436320. Its totient is φ = 38009088.

The previous prime is 144124339. The next prime is 144124423. The reversal of 144124344 is 443421441.

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

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, 4447 + ... + 17550.

It is an arithmetic number, because the mean of its divisors is an integer number (5004545).

Almost surely, 2144124344 is an apocalyptic number.

144124344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

144124344 is an abundant number, since it is smaller than the sum of its proper divisors (336311976).

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

144124344 is a wasteful number, since it uses less digits than its factorization.

144124344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22029 (or 22022 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 144124344 is about 12005.1798820343. The cubic root of 144124344 is about 524.2991027842.

Adding to 144124344 its reverse (443421441), we get a palindrome (587545785).

The spelling of 144124344 in words is "one hundred forty-four million, one hundred twenty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1638 2184 3276 6552 21997 43994 65991 87988 131982 153979 175976 197973 263964 285961 307958 395946 461937 527928 571922 615916 791892 857883 923874 1143844 1231832 1385811 1583784 1715766 1847748 2001727 2287688 2573649 2771622 3431532 3695496 4003454 5147298 5543244 6005181 6863064 8006908 10294596 11086488 12010362 16013816 18015543 20589192 24020724 36031086 48041448 72062172 144124344