Search a number
-
+
14104896624 = 24327131076381
BaseRepresentation
bin11010010001011011…
…11010010001110000
31100101222211222200200
431020231322101300
5212341323142444
610251340515200
71006350433410
oct151055722160
940358758620
1014104896624
115a88934665
12289784bb00
13143a2783a0
1497b3c0640
15578453969
hex348b7a470

14104896624 has 120 divisors (see below), whose sum is σ = 48583577952. Its totient is φ = 3719969280.

The previous prime is 14104896623. The next prime is 14104896667. The reversal of 14104896624 is 42669840141.

14104896624 is a `hidden beast` number, since 1 + 4 + 10 + 4 + 8 + 9 + 6 + 624 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 14104896624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14104896623) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 525087 + ... + 551294.

Almost surely, 214104896624 is an apocalyptic number.

14104896624 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14104896624 is an abundant number, since it is smaller than the sum of its proper divisors (34478681328).

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

14104896624 is a wasteful number, since it uses less digits than its factorization.

14104896624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076415 (or 1076406 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 14104896624 in words is "fourteen billion, one hundred four million, eight hundred ninety-six thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 39 42 48 52 56 63 72 78 84 91 104 112 117 126 144 156 168 182 208 234 252 273 312 336 364 468 504 546 624 728 819 936 1008 1092 1456 1638 1872 2184 3276 4368 6552 13104 1076381 2152762 3229143 4305524 6458286 7534667 8611048 9687429 12916572 13992953 15069334 17222096 19374858 22604001 25833144 27985906 30138668 38749716 41978859 45208002 51666288 55971812 60277336 67812003 77499432 83957718 90416004 97950671 111943624 120554672 125936577 135624006 154998864 167915436 180832008 195901342 223887248 251873154 271248012 293852013 335830872 361664016 391802684 503746308 542496024 587704026 671661744 783605368 881556039 1007492616 1084992048 1175408052 1567210736 1763112078 2014985232 2350816104 3526224156 4701632208 7052448312 14104896624