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14434054203105 = 3354611297178819
BaseRepresentation
bin1101001000001011000010…
…1011000110011011100001
31220002212211001111002021000
43102002300223012123201
53342441420333444410
650410525111022213
73016553214245415
oct322026053063341
956085731432230
1014434054203105
1146654a2336899
1217514bb66a969
13809182876314
1437c87d29cd45
151a06e2300dc0
hexd20b0ac66e1

14434054203105 has 64 divisors (see below), whose sum is σ = 25736174956800. Its totient is φ = 7675497999360.

The previous prime is 14434054203097. The next prime is 14434054203113. The reversal of 14434054203105 is 50130245043441.

14434054203105 is a `hidden beast` number, since 1 + 4 + 4 + 3 + 4 + 0 + 542 + 0 + 3 + 105 = 666.

It is an interprime number because it is at equal distance from previous prime (14434054203097) and next prime (14434054203113).

It is not a de Polignac number, because 14434054203105 - 23 = 14434054203097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 14434054203105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80629386 + ... + 80808204.

It is an arithmetic number, because the mean of its divisors is an integer number (402127733700).

Almost surely, 214434054203105 is an apocalyptic number.

14434054203105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14434054203105 is a deficient number, since it is larger than the sum of its proper divisors (11302120753695).

14434054203105 is a wasteful number, since it uses less digits than its factorization.

14434054203105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180591 (or 180585 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 14434054203105 its reverse (50130245043441), we get a palindrome (64564299246546).

The spelling of 14434054203105 in words is "fourteen trillion, four hundred thirty-four billion, fifty-four million, two hundred three thousand, one hundred five".

Divisors: 1 3 5 9 15 27 45 135 461 1297 1383 2305 3891 4149 6485 6915 11673 12447 19455 20745 35019 58365 62235 175095 178819 536457 597917 894095 1609371 1793751 2682285 2989585 4828113 5381253 8046855 8968755 16143759 24140565 26906265 80718795 82435559 231928243 247306677 412177795 695784729 741920031 1159641215 1236533385 2087354187 2225760093 3478923645 3709600155 6262062561 10436770935 11128800465 31310312805 106918920023 320756760069 534594600115 962270280207 1603783800345 2886810840621 4811351401035 14434054203105