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144324333072 = 24325318910421
BaseRepresentation
bin1000011001101001100…
…1101000111000010000
3111210112012200202112100
42012122121220320100
54331034012124242
6150145055200400
713266330406233
oct2063231507020
9453465622470
10144324333072
1156231361627
1223b79b16100
13107c0750c6a
146db1a8b41a
153b4a6b054c
hex219a668e10

144324333072 has 60 divisors (see below), whose sum is σ = 411528603564. Its totient is φ = 47200408320.

The previous prime is 144324333071. The next prime is 144324333103. The reversal of 144324333072 is 270333423441.

144324333072 is a `hidden beast` number, since 14 + 4 + 3 + 243 + 330 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 80256623616 + 64067709456 = 283296^2 + 253116^2 .

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

It is not an unprimeable number, because it can be changed into a prime (144324333071) 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, 9447579 + ... + 9462842.

Almost surely, 2144324333072 is an apocalyptic number.

144324333072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144324333072 is an abundant number, since it is smaller than the sum of its proper divisors (267204270492).

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

144324333072 is a wasteful number, since it uses less digits than its factorization.

144324333072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18910488 (or 18910479 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 36.

The spelling of 144324333072 in words is "one hundred forty-four billion, three hundred twenty-four million, three hundred thirty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 212 318 424 477 636 848 954 1272 1908 2544 3816 7632 18910421 37820842 56731263 75641684 113462526 151283368 170193789 226925052 302566736 340387578 453850104 680775156 907700208 1002252313 1361550312 2004504626 2723100624 3006756939 4009009252 6013513878 8018018504 9020270817 12027027756 16036037008 18040541634 24054055512 36081083268 48108111024 72162166536 144324333072