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14084906304 = 263727138671
BaseRepresentation
bin11010001111000011…
…01001110101000000
31100100121020101010110
431013201221311000
5212321214000204
610245344231320
71006015504530
oct150741516500
940317211113
1014084906304
115a78620637
12289100b540
1314360994b1
149788994c0
15576805889
hex347869d40

14084906304 has 112 divisors (see below), whose sum is σ = 42748338176. Its totient is φ = 4009305600.

The previous prime is 14084906257. The next prime is 14084906399. The reversal of 14084906304 is 40360948041.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 344889 + ... + 383559.

Almost surely, 214084906304 is an apocalyptic number.

14084906304 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 14084906304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21374169088).

14084906304 is an abundant number, since it is smaller than the sum of its proper divisors (28663431872).

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

14084906304 is a wasteful number, since it uses less digits than its factorization.

14084906304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38964 (or 38954 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 14084906304 in words is "fourteen billion, eighty-four million, nine hundred six thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 271 336 448 542 672 813 1084 1344 1626 1897 2168 3252 3794 4336 5691 6504 7588 8672 11382 13008 15176 17344 22764 26016 30352 38671 45528 52032 60704 77342 91056 116013 121408 154684 182112 232026 270697 309368 364224 464052 541394 618736 812091 928104 1082788 1237472 1624182 1856208 2165576 2474944 3248364 3712416 4331152 6496728 7424832 8662304 10479841 12993456 17324608 20959682 25986912 31439523 41919364 51973824 62879046 73358887 83838728 125758092 146717774 167677456 220076661 251516184 293435548 335354912 440153322 503032368 586871096 670709824 880306644 1006064736 1173742192 1760613288 2012129472 2347484384 3521226576 4694968768 7042453152 14084906304