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404421251121 = 32193232827433
BaseRepresentation
bin1011110001010010110…
…00101001000000110001
31102122212210221012100100
411320221120221000301
523111223320013441
6505442154543013
741134635625656
oct5705130510061
91378783835310
10404421251121
11146572286848
1266467a37a69
132c1a1602074
141580744dc2d
15a7beb2dcb6
hex5e29629031

404421251121 has 12 divisors (see below), whose sum is σ = 587190788548. Its totient is φ = 268217201664.

The previous prime is 404421251119. The next prime is 404421251123. The reversal of 404421251121 is 121152124404.

404421251121 is a `hidden beast` number, since 40 + 442 + 12 + 51 + 121 = 666.

It is an interprime number because it is at equal distance from previous prime (404421251119) and next prime (404421251123).

It can be written as a sum of positive squares in 2 ways, for example, as 266215753521 + 138205497600 = 515961^2 + 371760^2 .

It is not a de Polignac number, because 404421251121 - 21 = 404421251119 is a prime.

It is a super-3 number, since 3×4044212511213 (a number of 36 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (404421251123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116411980 + ... + 116415453.

Almost surely, 2404421251121 is an apocalyptic number.

It is an amenable number.

404421251121 is a deficient number, since it is larger than the sum of its proper divisors (182769537427).

404421251121 is a wasteful number, since it uses less digits than its factorization.

404421251121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232827632 (or 232827629 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 404421251121 its reverse (121152124404), we get a palindrome (525573375525).

The spelling of 404421251121 in words is "four hundred four billion, four hundred twenty-one million, two hundred fifty-one thousand, one hundred twenty-one".

Divisors: 1 3 9 193 579 1737 232827433 698482299 2095446897 44935694569 134807083707 404421251121