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404424145252232 = 23789279729011259
BaseRepresentation
bin101101111110100100101010…
…1100001000010111110001000
31222000221120102001002002100222
41123331021111201002332020
5411002041122141032412
63552045515405445212
7151120452222044030
oct13375112541027610
91860846361062328
10404424145252232
11107953353751a76
1239438137b70808
13144880580a9a01
1471c23397968c0
1531b5000616072
hex16fd255842f88

404424145252232 has 64 divisors (see below), whose sum is σ = 876673859184000. Its totient is φ = 171315888201216.

The previous prime is 404424145252199. The next prime is 404424145252249. The reversal of 404424145252232 is 232252541424404.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 565382 + ... + 28445877.

It is an arithmetic number, because the mean of its divisors is an integer number (13698029049750).

Almost surely, 2404424145252232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404424145252232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438336929592000).

404424145252232 is an abundant number, since it is smaller than the sum of its proper divisors (472249713931768).

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

404424145252232 is a wasteful number, since it uses less digits than its factorization.

404424145252232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29014158 (or 29014154 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 44.

Adding to 404424145252232 its reverse (232252541424404), we get a palindrome (636676686676636).

The spelling of 404424145252232 in words is "four hundred four trillion, four hundred twenty-four billion, one hundred forty-five million, two hundred fifty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 56 89 178 356 623 712 1246 2492 2797 4984 5594 11188 19579 22376 39158 78316 156632 248933 497866 995732 1742531 1991464 3485062 6970124 13940248 29011259 58022518 116045036 203078813 232090072 406157626 812315252 1624630504 2582002051 5164004102 10328008204 18074014357 20656016408 36148028714 72296057428 81144491423 144592114856 162288982846 324577965692 568011439961 649155931384 1136022879922 2272045759844 4544091519688 7221859736647 14443719473294 28887438946588 50553018156529 57774877893176 101106036313058 202212072626116 404424145252232