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144223200144 = 24321091918011
BaseRepresentation
bin1000011001010001011…
…1110110001110010000
3111210021011101200020100
42012110113312032100
54330332114401034
6150131043412400
713263661655112
oct2062427661620
9453234350210
10144223200144
115618a2669a1
1223b50084100
13107a58018aa
146da24833b2
153b41885099
hex21945f6390

144223200144 has 60 divisors (see below), whose sum is σ = 403995048912. Its totient is φ = 48030283200.

The previous prime is 144223200139. The next prime is 144223200157. The reversal of 144223200144 is 441002322441.

144223200144 is a `hidden beast` number, since 1 + 442 + 2 + 3 + 200 + 14 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 301902 + ... + 616109.

Almost surely, 2144223200144 is an apocalyptic number.

It is an amenable number.

144223200144 is an abundant number, since it is smaller than the sum of its proper divisors (259771848768).

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

144223200144 is a wasteful number, since it uses less digits than its factorization.

144223200144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919116 (or 919107 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 144223200144 its reverse (441002322441), we get a palindrome (585225522585).

The spelling of 144223200144 in words is "one hundred forty-four billion, two hundred twenty-three million, two hundred thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1091 2182 3273 4364 6546 8728 9819 13092 17456 19638 26184 39276 52368 78552 157104 918011 1836022 2754033 3672044 5508066 7344088 8262099 11016132 14688176 16524198 22032264 33048396 44064528 66096792 132193584 1001550001 2003100002 3004650003 4006200004 6009300006 8012400008 9013950009 12018600012 16024800016 18027900018 24037200024 36055800036 48074400048 72111600072 144223200144