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319637461444 = 227471783136223
BaseRepresentation
bin1001010011010111110…
…00001001100111000100
31010120001002021102120221
410221223320021213010
520214104142231234
6402501152034124
732043625410460
oct4515370114704
91116032242527
10319637461444
11113615017784
1251b45b32944
13241ac380192
14116832154a0
1584ab6b5eb4
hex4a6be099c4

319637461444 has 48 divisors (see below), whose sum is σ = 653247479808. Its totient is φ = 133996677408.

The previous prime is 319637461427. The next prime is 319637461477. The reversal of 319637461444 is 444164736913.

It is a junction number, because it is equal to n+sod(n) for n = 319637461391 and 319637461400.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2278317 + ... + 2414539.

It is an arithmetic number, because the mean of its divisors is an integer number (13609322496).

Almost surely, 2319637461444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 319637461444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326623739904).

319637461444 is an abundant number, since it is smaller than the sum of its proper divisors (333610018364).

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

319637461444 is a wasteful number, since it uses less digits than its factorization.

319637461444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138064 (or 138062 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 52.

The spelling of 319637461444 in words is "three hundred nineteen billion, six hundred thirty-seven million, four hundred sixty-one thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 47 94 188 329 658 1316 1783 3566 7132 12481 24962 49924 83801 136223 167602 272446 335204 544892 586607 953561 1173214 1907122 2346428 3814244 6402481 12804962 25609924 44817367 89634734 179269468 242885609 485771218 971542436 1700199263 3400398526 6800797052 11415623623 22831247246 45662494492 79909365361 159818730722 319637461444