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14306884704 = 2532712375737
BaseRepresentation
bin11010101001100000…
…11011110001100000
31100221001221001020200
431110300123301200
5213300030302304
610323354105200
71014352341060
oct152460336140
940831831220
1014306884704
116081955262
12293341b200
13147007a568
1499a15d3a0
1558b051e39
hex354c1bc60

14306884704 has 144 divisors (see below), whose sum is σ = 46543075488. Its totient is φ = 4083664896.

The previous prime is 14306884703. The next prime is 14306884723. The reversal of 14306884704 is 40748860341.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 14306884704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14306884703) 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, 2490924 + ... + 2496660.

It is an arithmetic number, because the mean of its divisors is an integer number (323215802).

Almost surely, 214306884704 is an apocalyptic number.

14306884704 is a gapful number since it is divisible by the number (14) 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 14306884704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23271537744).

14306884704 is an abundant number, since it is smaller than the sum of its proper divisors (32236190784).

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

14306884704 is a wasteful number, since it uses less digits than its factorization.

14306884704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6997 (or 6986 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 14306884704 in words is "fourteen billion, three hundred six million, eight hundred eighty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 1237 2016 2474 3711 4948 5737 7422 8659 9896 11133 11474 14844 17211 17318 19792 22266 22948 25977 29688 34422 34636 39584 40159 44532 45896 51633 51954 59376 68844 69272 77931 80318 89064 91792 103266 103908 118752 120477 137688 138544 155862 160636 178128 183584 206532 207816 240954 275376 277088 311724 321272 356256 361431 413064 415632 481908 550752 623448 642544 722862 826128 831264 963816 1246896 1285088 1445724 1652256 1927632 2493792 2891448 3855264 5782896 7096669 11565792 14193338 21290007 28386676 42580014 49676683 56773352 63870021 85160028 99353366 113546704 127740042 149030049 170320056 198706732 227093408 255480084 298060098 340640112 397413464 447090147 510960168 596120196 681280224 794826928 894180294 1021920336 1192240392 1589653856 1788360588 2043840672 2384480784 3576721176 4768961568 7153442352 14306884704