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140661166041 = 32114792966221
BaseRepresentation
bin1000001100000000001…
…1110000111111011001
3111110001220210121001100
42003000003300333121
54301033224303131
6144341400542013
713106500120044
oct2030003607731
9443056717040
10140661166041
1154721619a60
1223317181909
13103588554c6
146b45377c5b
1539d3cc27e6
hex20c00f0fd9

140661166041 has 24 divisors (see below), whose sum is σ = 222110703360. Its totient is φ = 85071189600.

The previous prime is 140661166021. The next prime is 140661166043.

140661166041 is a `hidden beast` number, since 1 + 40 + 6 + 6 + 1 + 1 + 6 + 604 + 1 = 666.

140661166041 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 140661166041 - 29 = 140661165529 is a prime.

It is a super-2 number, since 2×1406611660412 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 140661165987 and 140661166005.

It is not an unprimeable number, because it can be changed into a prime (140661166043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1435690 + ... + 1530531.

It is an arithmetic number, because the mean of its divisors is an integer number (9254612640).

Almost surely, 2140661166041 is an apocalyptic number.

140661166041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

140661166041 is a deficient number, since it is larger than the sum of its proper divisors (81449537319).

140661166041 is a wasteful number, since it uses less digits than its factorization.

140661166041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2966717 (or 2966714 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 140661166041 in words is "one hundred forty billion, six hundred sixty-one million, one hundred sixty-six thousand, forty-one".

Divisors: 1 3 9 11 33 99 479 1437 4311 5269 15807 47421 2966221 8898663 26695989 32628431 97885293 293655879 1420819859 4262459577 12787378731 15629018449 46887055347 140661166041