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431305445140 = 225111742974493
BaseRepresentation
bin1100100011010111100…
…11101100111100010100
31112020021102021202102221
412101223303230330110
524031303143221030
6530050004312124
743106102536243
oct6215363547424
91466242252387
10431305445140
11156a08752709
126b70b3a2644
13318972c698b
1416c37b4895a
15b344e3ae7a
hex646bcecf14

431305445140 has 48 divisors (see below), whose sum is σ = 906965094672. Its totient is φ = 172289258496.

The previous prime is 431305445083. The next prime is 431305445141. The reversal of 431305445140 is 41544503134.

It can be written as a sum of positive squares in 8 ways, for example, as 229159044 + 431076286096 = 15138^2 + 656564^2 .

It is a junction number, because it is equal to n+sod(n) for n = 431305445096 and 431305445105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431305445141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95992734 + ... + 95997226.

It is an arithmetic number, because the mean of its divisors is an integer number (18895106139).

Almost surely, 2431305445140 is an apocalyptic number.

It is an amenable number.

431305445140 is an abundant number, since it is smaller than the sum of its proper divisors (475659649532).

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

431305445140 is a wasteful number, since it uses less digits than its factorization.

431305445140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9916 (or 9914 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

Adding to 431305445140 its reverse (41544503134), we get a palindrome (472849948274).

The spelling of 431305445140 in words is "four hundred thirty-one billion, three hundred five million, four hundred forty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 1117 2234 4297 4468 4493 5585 8594 8986 11170 17188 17972 21485 22340 22465 42970 44930 85940 89860 4799749 5018681 9599498 10037362 19198996 19306421 20074724 23998745 25093405 38612842 47997490 50186810 77225684 95994980 96532105 100373620 193064210 386128420 21565272257 43130544514 86261089028 107826361285 215652722570 431305445140