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144132340 = 22511798293
BaseRepresentation
bin10001001011101…
…00100011110100
3101001012200101211
420211310203310
5243344213330
622145131204
73400050622
oct1045644364
9331180354
10144132340
11743a4840
1240329b04
1323b26211
14151dc512
15c9c0d2a
hex89748f4

144132340 has 48 divisors (see below), whose sum is σ = 334414080. Its totient is φ = 51742080.

The previous prime is 144132337. The next prime is 144132367. The reversal of 144132340 is 43231441.

It is a Harshad number since it is a multiple of its sum of digits (22).

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 15 ways as a sum of consecutive naturals, for example, 13234 + ... + 21526.

It is an arithmetic number, because the mean of its divisors is an integer number (6966960).

Almost surely, 2144132340 is an apocalyptic number.

144132340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144132340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167207040).

144132340 is an abundant number, since it is smaller than the sum of its proper divisors (190281740).

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

144132340 is a wasteful number, since it uses less digits than its factorization.

144132340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8392 (or 8390 counting only the distinct ones).

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

The square root of 144132340 is about 12005.5129003304. The cubic root of 144132340 is about 524.3087986204.

Adding to 144132340 its reverse (43231441), we get a palindrome (187363781).

The spelling of 144132340 in words is "one hundred forty-four million, one hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 79 110 158 220 316 395 790 869 1580 1738 3476 4345 8293 8690 16586 17380 33172 41465 82930 91223 165860 182446 364892 456115 655147 912230 1310294 1824460 2620588 3275735 6551470 7206617 13102940 14413234 28826468 36033085 72066170 144132340