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11448480141 = 35731217111
BaseRepresentation
bin10101010100110000…
…11111000110001101
31002112212100001100000
422222120133012031
5141421302331031
65132004354513
7553463322060
oct125230370615
932485301300
1011448480141
11494540663a
1222760a5a39
131105b11607
147a86948d7
1547012c3e6
hex2aa61f18d

11448480141 has 48 divisors (see below), whose sum is σ = 20231364608. Its totient is φ = 6330927600.

The previous prime is 11448480103. The next prime is 11448480163. The reversal of 11448480141 is 14108484411.

11448480141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11448480141 - 27 = 11448480013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11448480096 and 11448480105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11448485141) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 55825 + ... + 161286.

Almost surely, 211448480141 is an apocalyptic number.

It is an amenable number.

11448480141 is a deficient number, since it is larger than the sum of its proper divisors (8782884467).

11448480141 is an equidigital number, since it uses as much as digits as its factorization.

11448480141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217164 (or 217152 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The spelling of 11448480141 in words is "eleven billion, four hundred forty-eight million, four hundred eighty thousand, one hundred forty-one".

Divisors: 1 3 7 9 21 27 31 63 81 93 189 217 243 279 567 651 837 1701 1953 2511 5859 7533 17577 52731 217111 651333 1519777 1953999 4559331 5861997 6730441 13677993 17585991 20191323 41033979 47113087 52757973 60573969 123101937 141339261 181721907 369305811 424017783 545165721 1272053349 1635497163 3816160047 11448480141