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40201400205 = 3255326364091
BaseRepresentation
bin100101011100001100…
…001010111110001101
310211202201000201122100
4211130030022332031
51124313024301310
630245051305313
72622141156261
oct453414127615
9124681021570
1040201400205
111605a707a9a
12795b44b239
133a38a09c95
141d352360a1
1510a451aec0
hex95c30af8d

40201400205 has 48 divisors (see below), whose sum is σ = 71268253056. Its totient is φ = 20955891840.

The previous prime is 40201400203. The next prime is 40201400207. The reversal of 40201400205 is 50200410204.

40201400205 is a `hidden beast` number, since 40 + 20 + 1 + 400 + 205 = 666.

40201400205 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40201400203) and next prime (40201400207).

It is not a de Polignac number, because 40201400205 - 21 = 40201400203 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40201400201) 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, 595210 + ... + 659300.

It is an arithmetic number, because the mean of its divisors is an integer number (1484755272).

Almost surely, 240201400205 is an apocalyptic number.

40201400205 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40201400205 is a deficient number, since it is larger than the sum of its proper divisors (31066852851).

40201400205 is a wasteful number, since it uses less digits than its factorization.

40201400205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64418 (or 64415 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 40201400205 its reverse (50200410204), we get a palindrome (90401810409).

Subtracting 40201400205 from its reverse (50200410204), we obtain a palindrome (9999009999).

It can be divided in two parts, 4020 and 1400205, that added together give a square (1404225 = 11852).

The spelling of 40201400205 in words is "forty billion, two hundred one million, four hundred thousand, two hundred five".

Divisors: 1 3 5 9 15 45 53 159 263 265 477 789 795 1315 2367 2385 3945 11835 13939 41817 64091 69695 125451 192273 209085 320455 576819 627255 961365 2884095 3396823 10190469 16855933 16984115 30571407 50567799 50952345 84279665 151703397 152857035 252838995 758516985 893364449 2680093347 4466822245 8040280041 13400466735 40201400205