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432414124420 = 225199710826593
BaseRepresentation
bin1100100101011011110…
…00111110100110000100
31112100010200110111111111
412102231320332212010
524041041003440140
6530352011214404
743145424261325
oct6225570764604
91470120414444
10432414124420
11157427555883
126b97a747404
1331a12bc6015
1416d010a644c
15b3ac4387ea
hex64ade3e984

432414124420 has 24 divisors (see below), whose sum is σ = 908524462104. Its totient is φ = 172879021056.

The previous prime is 432414124411. The next prime is 432414124469. The reversal of 432414124420 is 24421414234.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 34535762244 + 397878362176 = 185838^2 + 630776^2 .

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, 5373357 + ... + 5453236.

It is an arithmetic number, because the mean of its divisors is an integer number (37855185921).

Almost surely, 2432414124420 is an apocalyptic number.

It is an amenable number.

432414124420 is an abundant number, since it is smaller than the sum of its proper divisors (476110337684).

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

432414124420 is a wasteful number, since it uses less digits than its factorization.

432414124420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10828599 (or 10828597 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 432414124420 its reverse (24421414234), we get a palindrome (456835538654).

The spelling of 432414124420 in words is "four hundred thirty-two billion, four hundred fourteen million, one hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 1997 3994 7988 9985 19970 39940 10826593 21653186 43306372 54132965 108265930 216531860 21620706221 43241412442 86482824884 108103531105 216207062210 432414124420