Search a number
-
+
140166125361 = 32263277313683
BaseRepresentation
bin1000001010001010001…
…1010101011100110001
3111101210102021220220100
42002202203111130301
54244030012002421
6144220314303013
713061306256543
oct2024243253461
9441712256810
10140166125361
115449813a629
12231b9427a69
13102aa118822
146ad9713693
1539a55d8c26
hex20a28d5731

140166125361 has 48 divisors (see below), whose sum is σ = 204916922496. Its totient is φ = 92321019648.

The previous prime is 140166125353. The next prime is 140166125371. The reversal of 140166125361 is 163521661041.

140166125361 is a `hidden beast` number, since 1 + 4 + 0 + 1 + 6 + 612 + 5 + 36 + 1 = 666.

It is not a de Polignac number, because 140166125361 - 23 = 140166125353 is a prime.

It is a super-3 number, since 3×1401661253613 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (140166125371) 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, 205220926 + ... + 205221608.

It is an arithmetic number, because the mean of its divisors is an integer number (4269102552).

Almost surely, 2140166125361 is an apocalyptic number.

It is an amenable number.

140166125361 is a deficient number, since it is larger than the sum of its proper divisors (64750797135).

140166125361 is a wasteful number, since it uses less digits than its factorization.

140166125361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1542 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 140166125361 in words is "one hundred forty billion, one hundred sixty-six million, one hundred twenty-five thousand, three hundred sixty-one".

Divisors: 1 3 9 263 277 313 683 789 831 939 2049 2367 2493 2817 6147 72851 82319 86701 179629 189191 213779 218553 246957 260103 538887 567573 641337 655659 740871 780309 1616661 1702719 1924011 22802363 49757233 56223877 59216783 68407089 149271699 168671631 177650349 205221267 447815097 506014893 532951047 15574013929 46722041787 140166125361