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400021201521 = 32172614517657
BaseRepresentation
bin1011101001000110001…
…11110010001001110001
31102020112011110112000100
411310203013302021301
523023220411422041
6503433414343013
740620620053014
oct5644307621161
91366464415010
10400021201521
111447145a3417
126563a35aa69
132b94cb52616
141550ad2137b
15a6136d56b6
hex5d231f2271

400021201521 has 12 divisors (see below), whose sum is σ = 611797131972. Its totient is φ = 250993694976.

The previous prime is 400021201507. The next prime is 400021201523. The reversal of 400021201521 is 125102120004.

400021201521 is a `hidden beast` number, since 400 + 0 + 212 + 0 + 1 + 52 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 325019711025 + 75001490496 = 570105^2 + 273864^2 .

It is not a de Polignac number, because 400021201521 - 218 = 400020939377 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 400021201494 and 400021201503.

It is not an unprimeable number, because it can be changed into a prime (400021201523) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1307258676 + ... + 1307258981.

It is an arithmetic number, because the mean of its divisors is an integer number (50983094331).

Almost surely, 2400021201521 is an apocalyptic number.

It is an amenable number.

400021201521 is a deficient number, since it is larger than the sum of its proper divisors (211775930451).

400021201521 is a wasteful number, since it uses less digits than its factorization.

400021201521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2614517680 (or 2614517677 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 400021201521 its reverse (125102120004), we get a palindrome (525123321525).

The spelling of 400021201521 in words is "four hundred billion, twenty-one million, two hundred one thousand, five hundred twenty-one".

Divisors: 1 3 9 17 51 153 2614517657 7843552971 23530658913 44446800169 133340400507 400021201521