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14394946464 = 253249982453
BaseRepresentation
bin11010110100000000…
…10111001110100000
31101011012122001021100
431122000113032200
5213440101241324
610340221354400
71016502011643
oct153200271640
941135561240
1014394946464
116117632378
122958a08a00
1314853a1202
149a7b23a5a
15593b494c9
hex35a0173a0

14394946464 has 36 divisors (see below), whose sum is σ = 40935629826. Its totient is φ = 4798315392.

The previous prime is 14394946403. The next prime is 14394946481. The reversal of 14394946464 is 46464949341.

14394946464 is a `hidden beast` number, since 1 + 4 + 3 + 94 + 94 + 6 + 464 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14282162064 + 112784400 = 119508^2 + 10620^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×143949464642 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 14394946464.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24990939 + ... + 24991514.

Almost surely, 214394946464 is an apocalyptic number.

It is an amenable number.

14394946464 is an abundant number, since it is smaller than the sum of its proper divisors (26540683362).

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

14394946464 is a wasteful number, since it uses less digits than its factorization.

14394946464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49982469 (or 49982458 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 54.

The spelling of 14394946464 in words is "fourteen billion, three hundred ninety-four million, nine hundred forty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 49982453 99964906 149947359 199929812 299894718 399859624 449842077 599789436 799719248 899684154 1199578872 1599438496 1799368308 2399157744 3598736616 4798315488 7197473232 14394946464