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14350345344 = 27334152299
BaseRepresentation
bin11010101110101100…
…01110010010000000
31101001002201002001000
431113112032102000
5213342142022334
610331545412000
71015420631346
oct152726162200
941032632030
1014350345344
1160a4439945
122945a9a000
13147908630a
149a1c33996
1558ec89299
hex35758e480

14350345344 has 64 divisors (see below), whose sum is σ = 42353460000. Its totient is φ = 4783447296.

The previous prime is 14350345319. The next prime is 14350345363. The reversal of 14350345344 is 44354305341.

14350345344 is a `hidden beast` number, since 1 + 43 + 50 + 34 + 534 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×143503453442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14350345299 and 14350345308.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2072694 + ... + 2079605.

Almost surely, 214350345344 is an apocalyptic number.

It is an amenable number.

14350345344 is an abundant number, since it is smaller than the sum of its proper divisors (28003114656).

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

14350345344 is an equidigital number, since it uses as much as digits as its factorization.

14350345344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4152322 (or 4152304 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 14350345344 in words is "fourteen billion, three hundred fifty million, three hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 4152299 8304598 12456897 16609196 24913794 33218392 37370691 49827588 66436784 74741382 99655176 112112073 132873568 149482764 199310352 224224146 265747136 298965528 398620704 448448292 531494272 597931056 797241408 896896584 1195862112 1594482816 1793793168 2391724224 3587586336 4783448448 7175172672 14350345344