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14210348776 = 2313273143981
BaseRepresentation
bin11010011110000000…
…01011011011101000
31100200100021111211221
431033000023123220
5213100322130101
610310025031424
71012100654161
oct151700133350
940610244757
1014210348776
11603240a3a8
122907025574
13145607a700
1498b3d0768
15582833aa1
hex34f00b6e8

14210348776 has 48 divisors (see below), whose sum is σ = 29247063660. Its totient is φ = 6468733440.

The previous prime is 14210348741. The next prime is 14210348833. The reversal of 14210348776 is 67784301241.

It can be written as a sum of positive squares in 6 ways, for example, as 2806244676 + 11404104100 = 52974^2 + 106790^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26706 + ... + 170686.

Almost surely, 214210348776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14210348776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14623531830).

14210348776 is an abundant number, since it is smaller than the sum of its proper divisors (15036714884).

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

14210348776 is a wasteful number, since it uses less digits than its factorization.

14210348776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144086 (or 144069 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 43.

The spelling of 14210348776 in words is "fourteen billion, two hundred ten million, three hundred forty-eight thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 13 26 52 73 104 146 169 292 338 584 676 949 1352 1898 3796 7592 12337 24674 49348 98696 143981 287962 575924 1151848 1871753 3743506 7487012 10510613 14974024 21021226 24332789 42042452 48665578 84084904 97331156 136637969 194662312 273275938 546551876 1093103752 1776293597 3552587194 7105174388 14210348776