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144407540 = 2257220377
BaseRepresentation
bin10001001101101…
…11101111110100
3101001201122220102
420212313233310
5243432020130
622155053232
73402305144
oct1046675764
9331648812
10144407540
1174572582
1240441218
1323bc1564
1415270924
15ca27645
hex89b7bf4

144407540 has 12 divisors (see below), whose sum is σ = 303255876. Its totient is φ = 57763008.

The previous prime is 144407531. The next prime is 144407551. The reversal of 144407540 is 45704441.

It is a happy number.

144407540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 73376356 + 71031184 = 8566^2 + 8428^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3610169 + ... + 3610208.

It is an arithmetic number, because the mean of its divisors is an integer number (25271323).

Almost surely, 2144407540 is an apocalyptic number.

144407540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144407540 is an abundant number, since it is smaller than the sum of its proper divisors (158848336).

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

144407540 is a wasteful number, since it uses less digits than its factorization.

144407540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7220386 (or 7220384 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 29.

The square root of 144407540 is about 12016.9688357755. The cubic root of 144407540 is about 524.6422839093.

The spelling of 144407540 in words is "one hundred forty-four million, four hundred seven thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 7220377 14440754 28881508 36101885 72203770 144407540