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144601040 = 2451807513
BaseRepresentation
bin10001001111001…
…10111111010000
3101002002111100002
420213212333100
5244004213130
622203145132
73404042243
oct1047467720
9332074302
10144601040
11746949a1
12405151a8
1323c5b65c
14152c125a
15ca64b45
hex89e6fd0

144601040 has 20 divisors (see below), whose sum is σ = 336197604. Its totient is φ = 57840384.

The previous prime is 144601003. The next prime is 144601063. The reversal of 144601040 is 40106441.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 16096144 + 128504896 = 4012^2 + 11336^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (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, 903677 + ... + 903836.

Almost surely, 2144601040 is an apocalyptic number.

144601040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144601040 is an abundant number, since it is smaller than the sum of its proper divisors (191596564).

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

144601040 is a wasteful number, since it uses less digits than its factorization.

144601040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1807526 (or 1807520 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 144601040 is about 12025.0172557049. The cubic root of 144601040 is about 524.8765121503.

Adding to 144601040 its reverse (40106441), we get a palindrome (184707481).

The spelling of 144601040 in words is "one hundred forty-four million, six hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1807513 3615026 7230052 9037565 14460104 18075130 28920208 36150260 72300520 144601040