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141142313 = 13172332741
BaseRepresentation
bin10000110100110…
…10100100101001
3100211120202212002
420122122210221
5242113023223
622001100345
73332455424
oct1032324451
9324522762
10141142313
1172742344
123b3276b5
132331a280
1414a609bb
15c5cee28
hex869a929

141142313 has 16 divisors (see below), whose sum is σ = 161690256. Its totient is φ = 122050560.

The previous prime is 141142301. The next prime is 141142319. The reversal of 141142313 is 313241141.

It can be written as a sum of positive squares in 8 ways, for example, as 13271449 + 127870864 = 3643^2 + 11308^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-141142313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (141142319) 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, 50123 + ... + 52863.

It is an arithmetic number, because the mean of its divisors is an integer number (10105641).

Almost surely, 2141142313 is an apocalyptic number.

141142313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

141142313 is a deficient number, since it is larger than the sum of its proper divisors (20547943).

141142313 is a wasteful number, since it uses less digits than its factorization.

141142313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3004.

The product of its digits is 288, while the sum is 20.

The square root of 141142313 is about 11880.3330340525. Note that the first 3 decimals coincide. The cubic root of 141142313 is about 520.6578373095.

Adding to 141142313 its reverse (313241141), we get a palindrome (454383454).

The spelling of 141142313 in words is "one hundred forty-one million, one hundred forty-two thousand, three hundred thirteen".

Divisors: 1 13 17 221 233 2741 3029 3961 35633 46597 51493 605761 638653 8302489 10857101 141142313