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404114311144 = 23457110534549
BaseRepresentation
bin1011110000101110001…
…01110000011111101000
31102122002102101000212001
411320113011300133220
523110111230424034
6505351512100344
741124220653145
oct5702705603750
91378072330761
10404114311144
11146424aa2245
12663a10946b4
132c152b4448b
14157b87913cc
15a7a2beda14
hex5e171707e8

404114311144 has 16 divisors (see below), whose sum is σ = 759372358500. Its totient is φ = 201615015552.

The previous prime is 404114311129. The next prime is 404114311147. The reversal of 404114311144 is 441113411404.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 329634443044 + 74479868100 = 574138^2 + 272910^2 .

It is not an unprimeable number, because it can be changed into a prime (404114311147) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 55263619 + ... + 55270930.

Almost surely, 2404114311144 is an apocalyptic number.

It is an amenable number.

404114311144 is a deficient number, since it is larger than the sum of its proper divisors (355258047356).

404114311144 is a wasteful number, since it uses less digits than its factorization.

404114311144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110535012 (or 110535008 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 404114311144 its reverse (441113411404), we get a palindrome (845227722548).

The spelling of 404114311144 in words is "four hundred four billion, one hundred fourteen million, three hundred eleven thousand, one hundred forty-four".

Divisors: 1 2 4 8 457 914 1828 3656 110534549 221069098 442138196 884276392 50514288893 101028577786 202057155572 404114311144