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401145005 = 5172192769
BaseRepresentation
bin10111111010001…
…111110010101101
31000221211021111102
4113322033302231
51310143120010
6103445532445
712640450652
oct2772176255
91027737442
10401145005
111964881a8
12b2414125
1365152811
143b3c1c29
152533cba5
hex17e8fcad

401145005 has 36 divisors (see below), whose sum is σ = 540387540. Its totient is φ = 285769728.

The previous prime is 401144981. The next prime is 401145011. The reversal of 401145005 is 500541104.

It can be written as a sum of positive squares in 6 ways, for example, as 11437924 + 389707081 = 3382^2 + 19741^2 .

It is not a de Polignac number, because 401145005 - 26 = 401144941 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 521261 + ... + 522029.

It is an arithmetic number, because the mean of its divisors is an integer number (15010765).

Almost surely, 2401145005 is an apocalyptic number.

It is an amenable number.

401145005 is a deficient number, since it is larger than the sum of its proper divisors (139242535).

401145005 is a wasteful number, since it uses less digits than its factorization.

401145005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 401145005 is about 20028.6046693223. The cubic root of 401145005 is about 737.5086690545.

Adding to 401145005 its reverse (500541104), we get a palindrome (901686109).

The spelling of 401145005 in words is "four hundred one million, one hundred forty-five thousand, five".

Divisors: 1 5 17 19 85 95 289 323 361 769 1445 1615 1805 3845 5491 6137 13073 14611 27455 30685 65365 73055 104329 222241 248387 277609 521645 1111205 1241935 1388045 4222579 4719353 21112895 23596765 80229001 401145005