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14414300012224 = 26761352487401
BaseRepresentation
bin1101000111000001011100…
…1110110101111011000000
31220000222211100111012201201
43101300113032311323000
53342130441300342344
650353501002110544
73015253535350240
oct321602716657300
956028740435651
1014414300012224
114658085638902
121749707aab454
138073550a4688
1437b9278c1b20
1519ee37e3c4d4
hexd1c173b5ec0

14414300012224 has 56 divisors (see below), whose sum is σ = 32742901065248. Its totient is φ = 6167479449600.

The previous prime is 14414300012207. The next prime is 14414300012279. The reversal of 14414300012224 is 42221000341441.

14414300012224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 14414300012192 and 14414300012201.

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, 25969077 + ... + 26518324.

Almost surely, 214414300012224 is an apocalyptic number.

14414300012224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14414300012224 is an abundant number, since it is smaller than the sum of its proper divisors (18328601053024).

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

14414300012224 is an equidigital number, since it uses as much as digits as its factorization.

14414300012224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52488033 (or 52488023 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 14414300012224 its reverse (42221000341441), we get a palindrome (56635300353665).

The spelling of 14414300012224 in words is "fourteen trillion, four hundred fourteen billion, three hundred million, twelve thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 613 1226 2452 4291 4904 8582 9808 17164 19616 34328 39232 68656 137312 274624 52487401 104974802 209949604 367411807 419899208 734823614 839798416 1469647228 1679596832 2939294456 3359193664 5878588912 11757177824 23514355648 32174776813 64349553626 128699107252 225223437691 257398214504 450446875382 514796429008 900893750764 1029592858016 1801787501528 2059185716032 3603575003056 7207150006112 14414300012224