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141140331441 = 3349739105097
BaseRepresentation
bin1000001101110010011…
…1101000101110110001
3111111022022102201102000
42003130213220232301
54303023411101231
6144501115044213
713124406010524
oct2033447505661
9444268381360
10141140331441
115494804601a
122342b740669
1310403bc4325
146b8cc68bbb
153a10dc26e6
hex20dc9e8bb1

141140331441 has 16 divisors (see below), whose sum is σ = 209102980800. Its totient is φ = 94090767264.

The previous prime is 141140331439. The next prime is 141140331457. The reversal of 141140331441 is 144133041141.

141140331441 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 141140331441 - 21 = 141140331439 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (141140331421) 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 15 ways as a sum of consecutive naturals, for example, 1290405 + ... + 1395501.

It is an arithmetic number, because the mean of its divisors is an integer number (13068936300).

Almost surely, 2141140331441 is an apocalyptic number.

It is an amenable number.

141140331441 is a deficient number, since it is larger than the sum of its proper divisors (67962649359).

141140331441 is a wasteful number, since it uses less digits than its factorization.

141140331441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154845 (or 154839 counting only the distinct ones).

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

Adding to 141140331441 its reverse (144133041141), we get a palindrome (285273372582).

The spelling of 141140331441 in words is "one hundred forty-one billion, one hundred forty million, three hundred thirty-one thousand, four hundred forty-one".

Divisors: 1 3 9 27 49739 105097 149217 315291 447651 945873 1342953 2837619 5227419683 15682259049 47046777147 141140331441