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14768947314 = 232111031814001
BaseRepresentation
bin11011100000100110…
…00100000001110010
31102010021101020222200
431300103010001302
5220221322303224
610441301444030
71031662660302
oct156023040162
942107336880
1014768947314
11629975a790
122a42110616
131514a0b8a4
14a0167b602
155b68c45c9
hex3704c4072

14768947314 has 96 divisors (see below), whose sum is σ = 35450932608. Its totient is φ = 4406400000.

The previous prime is 14768947279. The next prime is 14768947327. The reversal of 14768947314 is 41374986741.

It is a happy number.

14768947314 is a `hidden beast` number, since 1 + 476 + 8 + 94 + 73 + 14 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3689314 + ... + 3693314.

It is an arithmetic number, because the mean of its divisors is an integer number (369280548).

Almost surely, 214768947314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14768947314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17725466304).

14768947314 is an abundant number, since it is smaller than the sum of its proper divisors (20681985294).

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

14768947314 is a wasteful number, since it uses less digits than its factorization.

14768947314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4304 (or 4301 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The spelling of 14768947314 in words is "fourteen billion, seven hundred sixty-eight million, nine hundred forty-seven thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 103 181 198 206 309 362 543 618 927 1086 1133 1629 1854 1991 2266 3258 3399 3982 4001 5973 6798 8002 10197 11946 12003 17919 18643 20394 24006 35838 36009 37286 44011 55929 72018 88022 111858 132033 167787 205073 264066 335574 396099 410146 412103 615219 724181 792198 824206 1230438 1236309 1448362 1845657 2172543 2472618 3691314 3708927 4345086 4533133 6517629 7417854 7965991 9066266 13035258 13599399 15931982 23897973 27198798 40798197 47795946 71693919 74590643 81596394 143387838 149181286 223771929 447543858 671315787 820497073 1342631574 1640994146 2461491219 4922982438 7384473657 14768947314