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144432324144 = 24321003002251
BaseRepresentation
bin1000011010000011010…
…1100101111000110000
3111210210201220021102200
42012200311211320300
54331244133333034
6150203513543200
713302111333063
oct2064065457060
9453721807380
10144432324144
1156287310949
1223baa114b00
1310809c31ac4
146dc215c8da
153b54de2a99
hex21a0d65e30

144432324144 has 30 divisors (see below), whose sum is σ = 404209907556. Its totient is φ = 48144108000.

The previous prime is 144432324121. The next prime is 144432324163. The reversal of 144432324144 is 441423234441.

144432324144 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 3 + 232 + 414 + 4 = 666.

144432324144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 144432324099 and 144432324108.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 501500982 + ... + 501501269.

Almost surely, 2144432324144 is an apocalyptic number.

It is an amenable number.

144432324144 is an abundant number, since it is smaller than the sum of its proper divisors (259777583412).

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

144432324144 is a wasteful number, since it uses less digits than its factorization.

144432324144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003002265 (or 1003002256 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

Adding to 144432324144 its reverse (441423234441), we get a palindrome (585855558585).

It can be divided in two parts, 144432324 and 144, that multiplied together give a square (20798254656 = 1442162).

The spelling of 144432324144 in words is "one hundred forty-four billion, four hundred thirty-two million, three hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1003002251 2006004502 3009006753 4012009004 6018013506 8024018008 9027020259 12036027012 16048036016 18054040518 24072054024 36108081036 48144108048 72216162072 144432324144