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414243512020 = 225131593244277
BaseRepresentation
bin1100000011100101101…
…01100101111011010100
31110121020100020202021001
412001302311211323110
523241332314341040
6514144552033044
741633224520062
oct6016265457324
91417210222231
10414243512020
1114a752732838
1268349392784
13300a852a770
1416099b47032
15ab970cd59a
hex6072d65ed4

414243512020 has 24 divisors (see below), whose sum is σ = 936827635464. Its totient is φ = 152951450496.

The previous prime is 414243512003. The next prime is 414243512083. The reversal of 414243512020 is 20215342414.

It can be written as a sum of positive squares in 4 ways, for example, as 9195275664 + 405048236356 = 95892^2 + 636434^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 414243512020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 796621879 + ... + 796622398.

It is an arithmetic number, because the mean of its divisors is an integer number (39034484811).

Almost surely, 2414243512020 is an apocalyptic number.

It is an amenable number.

414243512020 is an abundant number, since it is smaller than the sum of its proper divisors (522584123444).

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

414243512020 is a wasteful number, since it uses less digits than its factorization.

414243512020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1593244299 (or 1593244297 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 414243512020 its reverse (20215342414), we get a palindrome (434458854434).

The spelling of 414243512020 in words is "four hundred fourteen billion, two hundred forty-three million, five hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 1593244277 3186488554 6372977108 7966221385 15932442770 20712175601 31864885540 41424351202 82848702404 103560878005 207121756010 414243512020