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14425038144 = 263311758893
BaseRepresentation
bin11010110111100110…
…01001110101000000
31101020022020212022000
431123303021311000
5214020302210034
610343214344000
71020315541536
oct153363116500
941208225260
1014425038144
116132615730
122966abb000
13148b6a8b3a
149abb18156
155965e0599
hex35bcc9d40

14425038144 has 112 divisors (see below), whose sum is σ = 46262178240. Its totient is φ = 4371217920.

The previous prime is 14425038119. The next prime is 14425038181. The reversal of 14425038144 is 44183052441.

14425038144 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 503 + 8 + 144 = 666.

14425038144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14425038099 and 14425038108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 360439 + ... + 398454.

Almost surely, 214425038144 is an apocalyptic number.

It is an amenable number.

14425038144 is an abundant number, since it is smaller than the sum of its proper divisors (31837140096).

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

14425038144 is a wasteful number, since it uses less digits than its factorization.

14425038144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758925 (or 758909 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 14425038144 in words is "fourteen billion, four hundred twenty-five million, thirty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 132 144 176 192 198 216 264 288 297 352 396 432 528 576 594 704 792 864 1056 1188 1584 1728 2112 2376 3168 4752 6336 9504 19008 758893 1517786 2276679 3035572 4553358 6071144 6830037 8347823 9106716 12142288 13660074 16695646 18213432 20490111 24284576 25043469 27320148 33391292 36426864 40980222 48569152 50086938 54640296 66782584 72853728 75130407 81960444 100173876 109280592 133565168 145707456 150260814 163920888 200347752 218561184 225391221 267130336 300521628 327841776 400695504 437122368 450782442 534260672 601043256 655683552 801391008 901564884 1202086512 1311367104 1602782016 1803129768 2404173024 3606259536 4808346048 7212519072 14425038144