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404042404240 = 24510694724537
BaseRepresentation
bin1011110000100101100…
…11011101000110010000
31102121220102001210010101
411320102303131012100
523104434323413430
6505340422542144
741122355525056
oct5702263350620
91377812053111
10404042404240
11146398449552
1266380b97954
132c140c88a07
14157acdd41d6
15a79b747dca
hex5e12cdd190

404042404240 has 40 divisors (see below), whose sum is σ = 940277552760. Its totient is φ = 161465742336.

The previous prime is 404042404211. The next prime is 404042404247. The reversal of 404042404240 is 42404240404.

It can be written as a sum of positive squares in 4 ways, for example, as 1213546896 + 402828857344 = 34836^2 + 634688^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 404042404199 and 404042404208.

It is not an unprimeable number, because it can be changed into a prime (404042404247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2276749 + ... + 2447788.

It is an arithmetic number, because the mean of its divisors is an integer number (23506938819).

Almost surely, 2404042404240 is an apocalyptic number.

404042404240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404042404240 is an abundant number, since it is smaller than the sum of its proper divisors (536235148520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

404042404240 is a wasteful number, since it uses less digits than its factorization.

404042404240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4725619 (or 4725613 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 404042404240 its reverse (42404240404), we get a palindrome (446446644644).

The spelling of 404042404240 in words is "four hundred four billion, forty-two million, four hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1069 2138 4276 5345 8552 10690 17104 21380 42760 85520 4724537 9449074 18898148 23622685 37796296 47245370 75592592 94490740 188981480 377962960 5050530053 10101060106 20202120212 25252650265 40404240424 50505300530 80808480848 101010601060 202021202120 404042404240