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141327461 = 1189241599
BaseRepresentation
bin10000110110001…
…11110001100101
3100211221011211102
420123013301211
5242134434321
622005045445
73334156262
oct1033076145
9324834742
10141327461
1172859460
123b3b6885
1323383622
1414aac269
15c619c0b
hex86c7c65

141327461 has 16 divisors (see below), whose sum is σ = 156816000. Its totient is φ = 126297600.

The previous prime is 141327427. The next prime is 141327463. The reversal of 141327461 is 164723141.

It is a happy number.

141327461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-141327461 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141327463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 235640 + ... + 236238.

It is an arithmetic number, because the mean of its divisors is an integer number (9801000).

Almost surely, 2141327461 is an apocalyptic number.

141327461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

141327461 is a deficient number, since it is larger than the sum of its proper divisors (15488539).

141327461 is a wasteful number, since it uses less digits than its factorization.

141327461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940.

The product of its digits is 4032, while the sum is 29.

The square root of 141327461 is about 11888.1226861099. The cubic root of 141327461 is about 520.8854010936.

The spelling of 141327461 in words is "one hundred forty-one million, three hundred twenty-seven thousand, four hundred sixty-one".

Divisors: 1 11 89 241 599 979 2651 6589 21449 53311 144359 235939 586421 1587949 12847951 141327461