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14422399569984 = 263710730952061
BaseRepresentation
bin1101000111011111101000…
…0000001101000001000000
31220001202201211020101012110
43101313322000031001000
53342244033242214414
650401320415455320
73015661335431250
oct321677200150100
956052654211173
1014422399569984
11466056162549a
12174b1a8527540
13808046134bc3
1437c0954a3960
151a025e051459
hexd1dfa00d040

14422399569984 has 56 divisors (see below), whose sum is σ = 43610589179968. Its totient is φ = 4120685591040.

The previous prime is 14422399569983. The next prime is 14422399569989. The reversal of 14422399569984 is 48996599322441.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×144223995699842 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14422399569983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5365474687 + ... + 5365477374.

Almost surely, 214422399569984 is an apocalyptic number.

14422399569984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14422399569984 is an abundant number, since it is smaller than the sum of its proper divisors (29188189609984).

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

14422399569984 is a wasteful number, since it uses less digits than its factorization.

14422399569984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10730952083 (or 10730952073 counting only the distinct ones).

The product of its digits is 1209323520, while the sum is 75.

The spelling of 14422399569984 in words is "fourteen trillion, four hundred twenty-two billion, three hundred ninety-nine million, five hundred sixty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 10730952061 21461904122 32192856183 42923808244 64385712366 75116664427 85847616488 128771424732 150233328854 171695232976 225349993281 257542849464 300466657708 343390465952 450699986562 515085698928 600933315416 686780931904 901399973124 1030171397856 1201866630832 1802799946248 2060342795712 2403733261664 3605599892496 4807466523328 7211199784992 14422399569984