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16141816314 = 2321325306317
BaseRepresentation
bin11110000100010000…
…01001000111111010
31112122221200020012200
433002020021013322
5231024301110224
611225423051030
71111003113651
oct170210110772
945587606180
1016141816314
1169336a8568
123165a40a76
1316a327b200
14ad1b2a198
156471aa5c9
hex3c22091fa

16141816314 has 36 divisors (see below), whose sum is σ = 37871191566. Its totient is φ = 4966711776.

The previous prime is 16141816309. The next prime is 16141816337. The reversal of 16141816314 is 41361814161.

16141816314 is a `hidden beast` number, since 1 + 6 + 1 + 4 + 18 + 1 + 631 + 4 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3035459025 + 13106357289 = 55095^2 + 114483^2 .

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2650117 + ... + 2656200.

Almost surely, 216141816314 is an apocalyptic number.

16141816314 is an abundant number, since it is smaller than the sum of its proper divisors (21729375252).

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

16141816314 is a wasteful number, since it uses less digits than its factorization.

16141816314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5306351 (or 5306335 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The spelling of 16141816314 in words is "sixteen billion, one hundred forty-one million, eight hundred sixteen thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 169 234 338 507 1014 1521 3042 5306317 10612634 15918951 31837902 47756853 68982121 95513706 137964242 206946363 413892726 620839089 896767573 1241678178 1793535146 2690302719 5380605438 8070908157 16141816314