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144411213132 = 223224133235009
BaseRepresentation
bin1000011001111110010…
…1000011110101001100
3111210202021011201120100
42012133211003311030
54331223232310012
6150201441251100
713301434025664
oct2063745036514
9453667151510
10144411213132
115627640192a
1223ba3033a90
131080574ca94
146dbd4251a4
153b531228dc
hex219f943d4c

144411213132 has 72 divisors (see below), whose sum is σ = 366737651280. Its totient is φ = 47913338880.

The previous prime is 144411213127. The next prime is 144411213187. The reversal of 144411213132 is 231312114441.

It is a happy number.

144411213132 is a `hidden beast` number, since 1 + 4 + 4 + 411 + 213 + 1 + 32 = 666.

144411213132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 144411213096 and 144411213105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28827844 + ... + 28832852.

It is an arithmetic number, because the mean of its divisors is an integer number (5093578490).

Almost surely, 2144411213132 is an apocalyptic number.

144411213132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144411213132 is an abundant number, since it is smaller than the sum of its proper divisors (222326438148).

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

144411213132 is a wasteful number, since it uses less digits than its factorization.

144411213132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8583 (or 8578 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

Adding to 144411213132 its reverse (231312114441), we get a palindrome (375723327573).

The spelling of 144411213132 in words is "one hundred forty-four billion, four hundred eleven million, two hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 241 482 723 964 1446 2169 2892 3323 4338 5009 6646 8676 9969 10018 13292 15027 19938 20036 29907 30054 39876 45081 59814 60108 90162 119628 180324 800843 1207169 1601686 2402529 2414338 3203372 3621507 4805058 4828676 7207587 7243014 9610116 10864521 14415174 14486028 16644907 21729042 28830348 33289814 43458084 49934721 66579628 99869442 149804163 199738884 299608326 599216652 4011422587 8022845174 12034267761 16045690348 24068535522 36102803283 48137071044 72205606566 144411213132