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14024606688 = 2532173777419
BaseRepresentation
bin11010000111110111…
…01000001111100000
31100012101202211121100
431003323220033200
5212210244403223
610235351554400
71004354122101
oct150373501740
940171684540
1014024606688
115a47585644
12287498ba00
131426746051
149708803a8
15571394043
hex343ee83e0

14024606688 has 144 divisors (see below), whose sum is σ = 43370374320. Its totient is φ = 4280905728.

The previous prime is 14024606669. The next prime is 14024606711. The reversal of 14024606688 is 88660642041.

14024606688 is a `hidden beast` number, since 14 + 0 + 24 + 606 + 6 + 8 + 8 = 666.

14024606688 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 (144).

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 23 ways as a sum of consecutive naturals, for example, 142443 + ... + 219861.

It is an arithmetic number, because the mean of its divisors is an integer number (301183155).

Almost surely, 214024606688 is an apocalyptic number.

14024606688 is a gapful number since it is divisible by the number (18) 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 14024606688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21685187160).

14024606688 is an abundant number, since it is smaller than the sum of its proper divisors (29345767632).

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

14024606688 is a wasteful number, since it uses less digits than its factorization.

14024606688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77489 (or 77478 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 14024606688 in words is "fourteen billion, twenty-four million, six hundred six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 37 48 51 68 72 74 96 102 111 136 144 148 153 204 222 272 288 296 306 333 408 444 544 592 612 629 666 816 888 1184 1224 1258 1332 1632 1776 1887 2448 2516 2664 3552 3774 4896 5032 5328 5661 7548 10064 10656 11322 15096 20128 22644 30192 45288 60384 77419 90576 154838 181152 232257 309676 464514 619352 696771 929028 1238704 1316123 1393542 1858056 2477408 2632246 2787084 2864503 3716112 3948369 5264492 5574168 5729006 7432224 7896738 8593509 10528984 11148336 11458012 11845107 15793476 17187018 21057968 22296672 22916024 23690214 25780527 31586952 34374036 42115936 45832048 47380428 48696551 51561054 63173904 68748072 91664096 94760856 97393102 103122108 126347808 137496144 146089653 189521712 194786204 206244216 274992288 292179306 379043424 389572408 412488432 438268959 584358612 779144816 824976864 876537918 1168717224 1558289632 1753075836 2337434448 3506151672 4674868896 7012303344 14024606688