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4131434200 = 235220657171
BaseRepresentation
bin1111011001000000…
…1010111011011000
3101122221000121021111
43312100022323120
531430121343300
61521542550104
7204244416445
oct36620127330
911587017244
104131434200
1118300a5733
12973738334
1350ac1cc2a
142b29a89cc
15192a889ba
hexf640aed8

4131434200 has 24 divisors (see below), whose sum is σ = 9605584980. Its totient is φ = 1652573600.

The previous prime is 4131434183. The next prime is 4131434207. The reversal of 4131434200 is 24341314.

4131434200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4131434207) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10328386 + ... + 10328785.

Almost surely, 24131434200 is an apocalyptic number.

4131434200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4131434200 is an abundant number, since it is smaller than the sum of its proper divisors (5474150780).

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

4131434200 is a wasteful number, since it uses less digits than its factorization.

4131434200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20657187 (or 20657178 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 4131434200 is about 64276.2335548685. The cubic root of 4131434200 is about 1604.6005870703.

Adding to 4131434200 its reverse (24341314), we get a palindrome (4155775514).

The spelling of 4131434200 in words is "four billion, one hundred thirty-one million, four hundred thirty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 20657171 41314342 82628684 103285855 165257368 206571710 413143420 516429275 826286840 1032858550 2065717100 4131434200