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1014253431041 = 377310927712437
BaseRepresentation
bin11101100001001100011…
…01110010100100000001
310120221222001202202002102
432300212031302210001
5113104142334243131
62053535215000145
7133164100626404
oct16604615624401
93527861682072
101014253431041
11361162690674
1214469b509055
137484a24b9c6
143713944dd3b
151b5b2c5a1cb
hexec26372901

1014253431041 has 32 divisors (see below), whose sum is σ = 1069555560480. Its totient is φ = 960834410496.

The previous prime is 1014253431007. The next prime is 1014253431053. The reversal of 1014253431041 is 1401343524101.

It can be written as a sum of positive squares in 16 ways, for example, as 238319712400 + 775933718641 = 488180^2 + 880871^2 .

It is a cyclic number.

It is not a de Polignac number, because 1014253431041 - 26 = 1014253430977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1014253430995 and 1014253431013.

It is not an unprimeable number, because it can be changed into a prime (1014253431071) 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 31 ways as a sum of consecutive naturals, for example, 81545075 + ... + 81557511.

It is an arithmetic number, because the mean of its divisors is an integer number (33423611265).

Almost surely, 21014253431041 is an apocalyptic number.

It is an amenable number.

1014253431041 is a deficient number, since it is larger than the sum of its proper divisors (55302129439).

1014253431041 is a wasteful number, since it uses less digits than its factorization.

1014253431041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12933.

The product of its (nonzero) digits is 5760, while the sum is 29.

Adding to 1014253431041 its reverse (1401343524101), we get a palindrome (2415596955142).

The spelling of 1014253431041 in words is "one trillion, fourteen billion, two hundred fifty-three million, four hundred thirty-one thousand, forty-one".

Divisors: 1 37 73 109 277 2701 4033 7957 10249 12437 20221 30193 294409 460169 748177 907901 1117141 1355633 2204089 3445049 33592337 50158421 81551293 98961209 127466813 251488577 375510341 3661564733 9305077349 13893882617 27412254893 1014253431041