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144000036 = 22324197561
BaseRepresentation
bin10001001010101…
…00010000100100
3101000221221220200
420211110100210
5243331000121
622142230500
73365660115
oct1045242044
9330857820
10144000036
11743143a4
1240285430
1323aaac2b
14151a620c
15c996a26
hex8954424

144000036 has 36 divisors (see below), whose sum is σ = 372881964. Its totient is φ = 46828800.

The previous prime is 144000023. The next prime is 144000037. The reversal of 144000036 is 630000441.

It can be written as a sum of positive squares in 2 ways, for example, as 6969600 + 137030436 = 2640^2 + 11706^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 143999982 and 144000018.

It is not an unprimeable number, because it can be changed into a prime (144000037) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47305 + ... + 50256.

Almost surely, 2144000036 is an apocalyptic number.

It is an amenable number.

144000036 is an abundant number, since it is smaller than the sum of its proper divisors (228881928).

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

144000036 is a wasteful number, since it uses less digits than its factorization.

144000036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97612 (or 97607 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 144000036 is about 12000.0014999999. The cubic root of 144000036 is about 524.1483225208.

Adding to 144000036 its reverse (630000441), we get a palindrome (774000477).

It can be divided in two parts, 1440000 and 36, that multiplied together give a square (51840000 = 72002).

The spelling of 144000036 in words is "one hundred forty-four million, thirty-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 97561 195122 292683 390244 585366 878049 1170732 1756098 3512196 4000001 8000002 12000003 16000004 24000006 36000009 48000012 72000018 144000036