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443122133140 = 22579751135437
BaseRepresentation
bin1100111001011000010…
…00110010100010010100
31120100202221110201000001
412130230020302202110
524230003231230030
6535322325101044
744004656661541
oct6345410624224
91510687421001
10443122133140
11160a2198a265
1271a68857784
1332a2b497c5b
1417639289bc8
15b7d754bcca
hex672c232894

443122133140 has 48 divisors (see below), whose sum is σ = 932077680912. Its totient is φ = 176959282176.

The previous prime is 443122133131. The next prime is 443122133147. The reversal of 443122133140 is 41331221344.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 63858300804 + 379263832336 = 252702^2 + 615844^2 .

It is a junction number, because it is equal to n+sod(n) for n = 443122133099 and 443122133108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (443122133147) 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, 81498502 + ... + 81503938.

It is an arithmetic number, because the mean of its divisors is an integer number (19418285019).

Almost surely, 2443122133140 is an apocalyptic number.

It is an amenable number.

443122133140 is an abundant number, since it is smaller than the sum of its proper divisors (488955547772).

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

443122133140 is a wasteful number, since it uses less digits than its factorization.

443122133140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11356 (or 11354 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 443122133140 its reverse (41331221344), we get a palindrome (484453354484).

The spelling of 443122133140 in words is "four hundred forty-three billion, one hundred twenty-two million, one hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 797 1594 3188 3985 5113 5437 7970 10226 10874 15940 20452 21748 25565 27185 51130 54370 102260 108740 4075061 4333289 8150122 8666578 16300244 17333156 20375305 21666445 27799381 40750610 43332890 55598762 81501220 86665780 111197524 138996905 277993810 555987620 22156106657 44312213314 88624426628 110780533285 221561066570 443122133140