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404121344241 = 3375041172221
BaseRepresentation
bin1011110000101111000…
…00100101100011110001
31102122002220121100110010
411320113200211203301
523110120031003431
6505352322525133
741124334514616
oct5702740454361
91378086540403
10404121344241
11146428a6631a
12663a35067a9
132c154437784
14157b96a250d
15a7a363c846
hex5e178258f1

404121344241 has 16 divisors (see below), whose sum is σ = 553410030528. Its totient is φ = 262123934400.

The previous prime is 404121344233. The next prime is 404121344261. The reversal of 404121344241 is 142443121404.

It is a happy number.

It is not a de Polignac number, because 404121344241 - 23 = 404121344233 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 404121344199 and 404121344208.

It is not an unprimeable number, because it can be changed into a prime (404121344261) 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 15 ways as a sum of consecutive naturals, for example, 5559511 + ... + 5631731.

It is an arithmetic number, because the mean of its divisors is an integer number (34588126908).

Almost surely, 2404121344241 is an apocalyptic number.

It is an amenable number.

404121344241 is a deficient number, since it is larger than the sum of its proper divisors (149288686287).

404121344241 is a wasteful number, since it uses less digits than its factorization.

404121344241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122672.

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 404121344241 its reverse (142443121404), we get a palindrome (546564465645).

The spelling of 404121344241 in words is "four hundred four billion, one hundred twenty-one million, three hundred forty-four thousand, two hundred forty-one".

Divisors: 1 3 37 111 50411 72221 151233 216663 1865207 2672177 5595621 8016531 3640732831 10922198493 134707114747 404121344241