Search a number
-
+
404004412311420 = 22356733406871857
BaseRepresentation
bin101101111011100001001101…
…1011110111100011101111100
31221222110110000010111110110110
41123313002123132330131330
5410423202014022431140
63551125022000110020
7151045232646651234
oct13367023336743574
91858413003443413
10404004412311420
11107801344416128
123938a918305310
13144575b64ca13b
1471a9cbc988cc4
1531a9136655380
hex16f709b7bc77c

404004412311420 has 24 divisors (see below), whose sum is σ = 1131212354472144. Its totient is φ = 107734509949696.

The previous prime is 404004412311319. The next prime is 404004412311473. The reversal of 404004412311420 is 24113214400404.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3366703435869 + ... + 3366703435988.

It is an arithmetic number, because the mean of its divisors is an integer number (47133848103006).

Almost surely, 2404004412311420 is an apocalyptic number.

It is an amenable number.

404004412311420 is an abundant number, since it is smaller than the sum of its proper divisors (727207942160724).

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

404004412311420 is a wasteful number, since it uses less digits than its factorization.

404004412311420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6733406871869 (or 6733406871867 counting only the distinct ones).

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

Adding to 404004412311420 its reverse (24113214400404), we get a palindrome (428117626711824).

The spelling of 404004412311420 in words is "four hundred four trillion, four billion, four hundred twelve million, three hundred eleven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 6733406871857 13466813743714 20200220615571 26933627487428 33667034359285 40400441231142 67334068718570 80800882462284 101001103077855 134668137437140 202002206155710 404004412311420