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413333043012 = 223241521537497
BaseRepresentation
bin1100000001111001001…
…00011011011101000100
31110111212220001010120200
412000330210123131010
523233001224334022
6513514345330500
741601530616351
oct6007444333504
91414786033520
10413333043012
1114a3257aaa0a
1268134496a30
132cc91a09bc6
1416010c63628
15ab421d4bac
hex603c91b744

413333043012 has 72 divisors (see below), whose sum is σ = 1072353659832. Its totient is φ = 134159001600.

The previous prime is 413333043001. The next prime is 413333043031. The reversal of 413333043012 is 210340333314.

It can be written as a sum of positive squares in 4 ways, for example, as 40102465536 + 373230577476 = 200256^2 + 610926^2 .

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, 500248 + ... + 1037744.

It is an arithmetic number, because the mean of its divisors is an integer number (14893800831).

Almost surely, 2413333043012 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 413333043012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536176829916).

413333043012 is an abundant number, since it is smaller than the sum of its proper divisors (659020616820).

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

413333043012 is a wasteful number, since it uses less digits than its factorization.

413333043012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538069 (or 538064 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 413333043012 its reverse (210340333314), we get a palindrome (623673376326).

The spelling of 413333043012 in words is "four hundred thirteen billion, three hundred thirty-three million, forty-three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 521 738 1042 1476 1563 2084 3126 4689 6252 9378 18756 21361 42722 64083 85444 128166 192249 256332 384498 537497 768996 1074994 1612491 2149988 3224982 4837473 6449964 9674946 19349892 22037377 44074754 66112131 88149508 132224262 198336393 264448524 280035937 396672786 560071874 793345572 840107811 1120143748 1680215622 2520323433 3360431244 5040646866 10081293732 11481473417 22962946834 34444420251 45925893668 68888840502 103333260753 137777681004 206666521506 413333043012