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404300220320 = 25512012103977
BaseRepresentation
bin1011110001000100010…
…10111100011110100000
31102122120101012012022002
411320202022330132200
523111001324022240
6505422152503132
741131636112333
oct5704212743640
91378511165262
10404300220320
1114650aa30597
12664333aaaa8
132c182506bc9
14157d534661a
15a7b41c2d15
hex5e222bc7a0

404300220320 has 48 divisors (see below), whose sum is σ = 955955028168. Its totient is φ = 161585356800.

The previous prime is 404300220307. The next prime is 404300220329. The reversal of 404300220320 is 23022003404.

It can be written as a sum of positive squares in 4 ways, for example, as 91680572944 + 312619647376 = 302788^2 + 559124^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 404300220292 and 404300220301.

It is not an unprimeable number, because it can be changed into a prime (404300220329) 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, 859829 + ... + 1244148.

Almost surely, 2404300220320 is an apocalyptic number.

404300220320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404300220320 is an abundant number, since it is smaller than the sum of its proper divisors (551654807848).

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

404300220320 is a wasteful number, since it uses less digits than its factorization.

404300220320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2105193 (or 2105185 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 404300220320 its reverse (23022003404), we get a palindrome (427322223724).

The spelling of 404300220320 in words is "four hundred four billion, three hundred million, two hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1201 2402 4804 6005 9608 12010 19216 24020 38432 48040 96080 192160 2103977 4207954 8415908 10519885 16831816 21039770 33663632 42079540 67327264 84159080 168318160 336636320 2526876377 5053752754 10107505508 12634381885 20215011016 25268763770 40430022032 50537527540 80860044064 101075055080 202150110160 404300220320