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40166441289 = 3213401856117
BaseRepresentation
bin100101011010000110…
…110100000101001001
310211200021020122000200
4211122012310011021
51124230102110124
630241402122413
72621235055242
oct453206640511
9124607218020
1040166441289
11160419aa927
12794b7b0409
133a316b9b30
141d30735cc9
1510a1412bc9
hex95a1b4149

40166441289 has 24 divisors (see below), whose sum is σ = 62637017352. Its totient is φ = 24656140800.

The previous prime is 40166441269. The next prime is 40166441309. The reversal of 40166441289 is 98214466104.

40166441289 is a `hidden beast` number, since 40 + 166 + 441 + 2 + 8 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (40166441269) and next prime (40166441309).

It can be written as a sum of positive squares in 4 ways, for example, as 4400066889 + 35766374400 = 66333^2 + 189120^2 .

It is not a de Polignac number, because 40166441289 - 28 = 40166441033 is a prime.

It is a super-2 number, since 2×401664412892 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40166441209) 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, 381142 + ... + 474975.

It is an arithmetic number, because the mean of its divisors is an integer number (2609875723).

Almost surely, 240166441289 is an apocalyptic number.

It is an amenable number.

40166441289 is a deficient number, since it is larger than the sum of its proper divisors (22470576063).

40166441289 is a wasteful number, since it uses less digits than its factorization.

40166441289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856537 (or 856534 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 40166441289 in words is "forty billion, one hundred sixty-six million, four hundred forty-one thousand, two hundred eighty-nine".

Divisors: 1 3 9 13 39 117 401 1203 3609 5213 15639 46917 856117 2568351 7705053 11129521 33388563 100165689 343302917 1029908751 3089726253 4462937921 13388813763 40166441289