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1332111440241 = 32422934999381
BaseRepresentation
bin10011011000101000000…
…001110111100101110001
311201100102010200122002200
4103120220001313211301
5133311131012041431
62455544043133413
7165145651262601
oct23305001674561
94640363618080
101332111440241
11473a441a855a
12196209514269
1398804a5465a
14486901bac01
15249b80c5ee6
hex13628077971

1332111440241 has 12 divisors (see below), whose sum is σ = 1924616016180. Its totient is φ = 887864271840.

The previous prime is 1332111440239. The next prime is 1332111440267. The reversal of 1332111440241 is 1420441112331.

It is a happy number.

1332111440241 is a `hidden beast` number, since 1 + 3 + 3 + 211 + 1 + 4 + 402 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1216783280241 + 115328160000 = 1103079^2 + 339600^2 .

It is not a de Polignac number, because 1332111440241 - 21 = 1332111440239 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1332111440141) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 17461630 + ... + 17537751.

It is an arithmetic number, because the mean of its divisors is an integer number (160384668015).

Almost surely, 21332111440241 is an apocalyptic number.

It is an amenable number.

1332111440241 is a deficient number, since it is larger than the sum of its proper divisors (592504575939).

1332111440241 is a wasteful number, since it uses less digits than its factorization.

1332111440241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35003616 (or 35003613 counting only the distinct ones).

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

Adding to 1332111440241 its reverse (1420441112331), we get a palindrome (2752552552572).

The spelling of 1332111440241 in words is "one trillion, three hundred thirty-two billion, one hundred eleven million, four hundred forty thousand, two hundred forty-one".

Divisors: 1 3 9 4229 12687 38061 34999381 104998143 314994429 148012382249 444037146747 1332111440241