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413223105320 = 23511391421041
BaseRepresentation
bin1100000001101100000…
…01000011001100101000
31110111121020011201102022
412000312001003030220
523232240103332240
6513455421124012
741566024304324
oct6006601031450
91414536151368
10413223105320
1114a279741113
12681036b9608
132cc74cc700c
1416000406984
15ab3771a9b5
hex6036043328

413223105320 has 32 divisors (see below), whose sum is σ = 937979890920. Its totient is φ = 163826503680.

The previous prime is 413223105319. The next prime is 413223105341. The reversal of 413223105320 is 23501322314.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 189923383204 + 223299722116 = 435802^2 + 472546^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 413223105320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45706001 + ... + 45715040.

Almost surely, 2413223105320 is an apocalyptic number.

413223105320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413223105320 is an abundant number, since it is smaller than the sum of its proper divisors (524756785600).

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

413223105320 is a wasteful number, since it uses less digits than its factorization.

413223105320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91421165 (or 91421161 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 413223105320 its reverse (23501322314), we get a palindrome (436724427634).

The spelling of 413223105320 in words is "four hundred thirteen billion, two hundred twenty-three million, one hundred five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 113 226 452 565 904 1130 2260 4520 91421041 182842082 365684164 457105205 731368328 914210410 1828420820 3656841640 10330577633 20661155266 41322310532 51652888165 82644621064 103305776330 206611552660 413223105320