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144132420 = 223519112577
BaseRepresentation
bin10001001011101…
…00100101000100
3101001012200111210
420211310211010
5243344214140
622145131420
73400051065
oct1045644504
9331180453
10144132420
11743a4903
1240329b70
1323b26273
14151dc56c
15c9c0d80
hex8974944

144132420 has 48 divisors (see below), whose sum is σ = 405715968. Its totient is φ = 38231040.

The previous prime is 144132413. The next prime is 144132433. The reversal of 144132420 is 24231441.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5172 + ... + 17748.

It is an arithmetic number, because the mean of its divisors is an integer number (8452416).

Almost surely, 2144132420 is an apocalyptic number.

144132420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144132420 is an abundant number, since it is smaller than the sum of its proper divisors (261583548).

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

144132420 is a wasteful number, since it uses less digits than its factorization.

144132420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12780 (or 12778 counting only the distinct ones).

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

The square root of 144132420 is about 12005.5162321326. The cubic root of 144132420 is about 524.3088956255.

Adding to 144132420 its reverse (24231441), we get a palindrome (168363861).

The spelling of 144132420 in words is "one hundred forty-four million, one hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 191 382 573 764 955 1146 1910 2292 2865 3820 5730 11460 12577 25154 37731 50308 62885 75462 125770 150924 188655 251540 377310 754620 2402207 4804414 7206621 9608828 12011035 14413242 24022070 28826484 36033105 48044140 72066210 144132420