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144184240656 = 2432316432
BaseRepresentation
bin1000011001001000001…
…1001110101000010000
3111210011110002022212100
42012102003032220100
54330242131200111
6150123132400400
713263006552441
oct2062203165020
9453143068770
10144184240656
115616a277075
1223b3b016100
131079a710841
146d9b2212c8
153b3d23b756
hex21920cea10

144184240656 has 45 divisors (see below), whose sum is σ = 403528370479. Its totient is φ = 48059894688.

The previous prime is 144184240637. The next prime is 144184240679. The reversal of 144184240656 is 656042481441.

The square root of 144184240656 is 379716.

It is a perfect power (a square), and thus also a powerful number.

144184240656 is a `hidden beast` number, since 14 + 4 + 184 + 2 + 406 + 56 = 666.

144184240656 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4540771 + ... + 4572413.

Almost surely, 2144184240656 is an apocalyptic number.

144184240656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

144184240656 is the 379716-th square number.

It is an amenable number.

144184240656 is an abundant number, since it is smaller than the sum of its proper divisors (259344129823).

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

144184240656 is an frugal number, since it uses more digits than its factorization.

144184240656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63300 (or 31648 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 144184240656 in words is "one hundred forty-four billion, one hundred eighty-four million, two hundred forty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 31643 63286 94929 126572 189858 253144 284787 379716 506288 569574 759432 1139148 1518864 2278296 4556592 1001279449 2002558898 3003838347 4005117796 6007676694 8010235592 9011515041 12015353388 16020471184 18023030082 24030706776 36046060164 48061413552 72092120328 144184240656