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144537040 = 2451806713
BaseRepresentation
bin10001001110101…
…11010111010000
3101001222020112201
420213113113100
5244000141130
622201532544
73403354534
oct1047272720
9331866481
10144537040
11746508aa
12404a4154
1323c3849b
14152a5bc4
15ca50bca
hex89d75d0

144537040 has 20 divisors (see below), whose sum is σ = 336048804. Its totient is φ = 57814784.

The previous prime is 144537031. The next prime is 144537067. The reversal of 144537040 is 40735441.

144537040 is digitally balanced in base 2 and base 3, because in such bases 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 18558864 + 125978176 = 4308^2 + 11224^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 903277 + ... + 903436.

Almost surely, 2144537040 is an apocalyptic number.

144537040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144537040 is an abundant number, since it is smaller than the sum of its proper divisors (191511764).

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

144537040 is a wasteful number, since it uses less digits than its factorization.

144537040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1806726 (or 1806720 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 144537040 is about 12022.3558423464. The cubic root of 144537040 is about 524.7990644503.

The spelling of 144537040 in words is "one hundred forty-four million, five hundred thirty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1806713 3613426 7226852 9033565 14453704 18067130 28907408 36134260 72268520 144537040