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413303032332 = 22352689158129
BaseRepresentation
bin1100000001110101100…
…01111100101000001100
31110111210210120102200000
412000322301330220030
523232421034013312
6513511354204300
741601014544561
oct6007261745014
91414723512600
10413303032332
1114a30a8724a3
1268126423690
132cc887300c8
141600ac90868
15ab3e757adc
hex603ac7ca0c

413303032332 has 72 divisors (see below), whose sum is σ = 1083841995600. Its totient is φ = 137715572736.

The previous prime is 413303032279. The next prime is 413303032369. The reversal of 413303032332 is 233230303314.

It is a happy number.

413303032332 is a `hidden beast` number, since 4 + 1 + 3 + 303 + 0 + 323 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 413303032296 and 413303032305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2534644 + ... + 2692772.

It is an arithmetic number, because the mean of its divisors is an integer number (15053361050).

Almost surely, 2413303032332 is an apocalyptic number.

It is an amenable number.

413303032332 is an abundant number, since it is smaller than the sum of its proper divisors (670538963268).

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

413303032332 is a wasteful number, since it uses less digits than its factorization.

413303032332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160837 (or 160823 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 413303032332 its reverse (233230303314), we get a palindrome (646533335646).

The spelling of 413303032332 in words is "four hundred thirteen billion, three hundred three million, thirty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 2689 5378 8067 10756 16134 24201 32268 48402 72603 96804 145206 158129 217809 290412 316258 435618 474387 632516 653427 871236 948774 1306854 1423161 1897548 2613708 2846322 4269483 5692644 8538966 12808449 17077932 25616898 38425347 51233796 76850694 153701388 425208881 850417762 1275626643 1700835524 2551253286 3826879929 5102506572 7653759858 11480639787 15307519716 22961279574 34441919361 45922559148 68883838722 103325758083 137767677444 206651516166 413303032332