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14344887792 = 2434110172169
BaseRepresentation
bin11010101110000010…
…11001110111110000
31101000201102210200110
431113001121313300
5213334242402132
610331232421320
71015323351204
oct152701316760
941021383613
1014344887792
1160a1351574
1229440a7840
131477bc51b1
149a1212b04
1558e55c1cc
hex357059df0

14344887792 has 80 divisors (see below), whose sum is σ = 38337858720. Its totient is φ = 4618752000.

The previous prime is 14344887721. The next prime is 14344887803. The reversal of 14344887792 is 29778844341.

It is a congruent number.

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, 162684 + ... + 234852.

It is an arithmetic number, because the mean of its divisors is an integer number (479223234).

Almost surely, 214344887792 is an apocalyptic number.

14344887792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14344887792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19168929360).

14344887792 is an abundant number, since it is smaller than the sum of its proper divisors (23992970928).

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

14344887792 is a wasteful number, since it uses less digits than its factorization.

14344887792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72322 (or 72316 counting only the distinct ones).

The product of its digits is 10838016, while the sum is 57.

The spelling of 14344887792 in words is "fourteen billion, three hundred forty-four million, eight hundred eighty-seven thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 101 123 164 202 246 303 328 404 492 606 656 808 984 1212 1616 1968 2424 4141 4848 8282 12423 16564 24846 33128 49692 66256 72169 99384 144338 198768 216507 288676 433014 577352 866028 1154704 1732056 2958929 3464112 5917858 7289069 8876787 11835716 14578138 17753574 21867207 23671432 29156276 35507148 43734414 47342864 58312552 71014296 87468828 116625104 142028592 174937656 298851829 349875312 597703658 896555487 1195407316 1793110974 2390814632 3586221948 4781629264 7172443896 14344887792