Search a number
-
+
1142137307061 = 3597113428807
BaseRepresentation
bin10000100111101100101…
…100000011111110110101
311001012001111211202100000
4100213230230003332311
5122203044122311221
62232405102141513
7145342140633162
oct20475454037665
94035044752300
101142137307061
11400417809503
1216542b581899
138391a8ab56a
143d3cb873069
151ea99e1de26
hex109ecb03fb5

1142137307061 has 48 divisors (see below), whose sum is σ = 1743794043264. Its totient is φ = 746904582144.

The previous prime is 1142137307021. The next prime is 1142137307063. The reversal of 1142137307061 is 1607037312411.

It is a happy number.

It is not a de Polignac number, because 1142137307061 - 26 = 1142137306997 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142137307063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2449120 + ... + 2877926.

It is an arithmetic number, because the mean of its divisors is an integer number (36329042568).

Almost surely, 21142137307061 is an apocalyptic number.

It is an amenable number.

1142137307061 is a deficient number, since it is larger than the sum of its proper divisors (601656736203).

1142137307061 is an equidigital number, since it uses as much as digits as its factorization.

1142137307061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429032 (or 429020 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 1142137307061 in words is "one trillion, one hundred forty-two billion, one hundred thirty-seven million, three hundred seven thousand, sixty-one".

Divisors: 1 3 9 27 81 97 113 243 291 339 873 1017 2619 3051 7857 9153 10961 23571 27459 32883 98649 295947 428807 887841 1286421 2663523 3859263 11577789 34733367 41594279 48455191 104200101 124782837 145365573 374348511 436096719 1123045533 1308290157 3369136599 3924870471 4700153527 10107409797 11774611413 14100460581 42301381743 126904145229 380712435687 1142137307061