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144323140 = 225132919141
BaseRepresentation
bin10001001101000…
…11001001000100
3101001120101010111
420212203021010
5243421320030
622153202404
73401504113
oct1046431104
9331511114
10144323140
1174515125
1240400404
1323b92010
141524bc7a
15ca0c62a
hex89a3244

144323140 has 48 divisors (see below), whose sum is σ = 337664880. Its totient is φ = 51448320.

The previous prime is 144323131. The next prime is 144323141. The reversal of 144323140 is 41323441.

144323140 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in 8 ways, for example, as 7573504 + 136749636 = 2752^2 + 11694^2 .

It is not an unprimeable number, because it can be changed into a prime (144323141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2031 + ... + 17110.

It is an arithmetic number, because the mean of its divisors is an integer number (7034685).

Almost surely, 2144323140 is an apocalyptic number.

144323140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144323140 is an abundant number, since it is smaller than the sum of its proper divisors (193341740).

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

144323140 is a wasteful number, since it uses less digits than its factorization.

144323140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19192 (or 19190 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 144323140 is about 12013.4566216389. The cubic root of 144323140 is about 524.5400537023.

Adding to 144323140 its reverse (41323441), we get a palindrome (185646581).

The spelling of 144323140 in words is "one hundred forty-four million, three hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 65 116 130 145 260 290 377 580 754 1508 1885 3770 7540 19141 38282 76564 95705 191410 248833 382820 497666 555089 995332 1110178 1244165 2220356 2488330 2775445 4976660 5550890 7216157 11101780 14432314 28864628 36080785 72161570 144323140