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413432004414 = 231113701687383
BaseRepresentation
bin1100000010000100111…
…01111011111100111110
31110112010210020220002210
412001002131323330332
523233202043120124
6513532242401250
741604142024512
oct6010235737476
91415123226083
10413432004414
1114a3766520a0
1268161660226
132cca9378a50
1416020064142
15ab4ac31a29
hex604277bf3e

413432004414 has 64 divisors (see below), whose sum is σ = 972807833088. Its totient is φ = 115480176000.

The previous prime is 413432004389. The next prime is 413432004451. The reversal of 413432004414 is 414400234314.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257767 + ... + 945149.

It is an arithmetic number, because the mean of its divisors is an integer number (15200122392).

Almost surely, 2413432004414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413432004414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486403916544).

413432004414 is an abundant number, since it is smaller than the sum of its proper divisors (559375828674).

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

413432004414 is a wasteful number, since it uses less digits than its factorization.

413432004414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688113.

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 413432004414 its reverse (414400234314), we get a palindrome (827832238728).

The spelling of 413432004414 in words is "four hundred thirteen billion, four hundred thirty-two million, four thousand, four hundred fourteen".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 286 429 701 858 1402 2103 4206 7711 9113 15422 18226 23133 27339 46266 54678 100243 200486 300729 601458 687383 1374766 2062149 4124298 7561213 8935979 15122426 17871958 22683639 26807937 45367278 53615874 98295769 196591538 294887307 481855483 589774614 963710966 1445566449 2891132898 5300410313 6264121279 10600820626 12528242558 15901230939 18792363837 31802461878 37584727674 68905334069 137810668138 206716002207 413432004414