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14235688137472 = 284112831057129
BaseRepresentation
bin1100111100101000000100…
…1000100111001100000000
31212101220210120201212100021
43033022001020213030000
53331214142130344342
650135441305503224
72666331423434434
oct317120110471400
955356716655307
1014235688137472
11459935991477a
12171ab7b1a1b14
137c355bc11919
143730221c69c4
1519a482530567
hexcf281227300

14235688137472 has 72 divisors (see below), whose sum is σ = 29131551293040. Its totient is φ = 6938819051520.

The previous prime is 14235688137457. The next prime is 14235688137487. The reversal of 14235688137472 is 27473188653241.

It is an interprime number because it is at equal distance from previous prime (14235688137457) and next prime (14235688137487).

It is a super-2 number, since 2×142356881374722 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14235688137472.

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, 12937804 + ... + 13994932.

It is an arithmetic number, because the mean of its divisors is an integer number (404604879070).

Almost surely, 214235688137472 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 14235688137472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14565775646520).

14235688137472 is an abundant number, since it is smaller than the sum of its proper divisors (14895863155568).

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

14235688137472 is a wasteful number, since it uses less digits than its factorization.

14235688137472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058469 (or 1058455 counting only the distinct ones).

The product of its digits is 54190080, while the sum is 61.

The spelling of 14235688137472 in words is "fourteen trillion, two hundred thirty-five billion, six hundred eighty-eight million, one hundred thirty-seven thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 656 1283 1312 2566 2624 5132 5248 10264 10496 20528 41056 52603 82112 105206 164224 210412 328448 420824 841648 1057129 1683296 2114258 3366592 4228516 6733184 8457032 13466368 16914064 33828128 43342289 67656256 86684578 135312512 173369156 270625024 346738312 693476624 1356296507 1386953248 2712593014 2773906496 5425186028 5547812992 10850372056 11095625984 21700744112 43401488224 55608156787 86802976448 111216313574 173605952896 222432627148 347211905792 444865254296 889730508592 1779461017184 3558922034368 7117844068736 14235688137472