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14001200120142 = 2326183673228281
BaseRepresentation
bin1100101110111110100010…
…0011110100000101001110
31211120111112201011101002200
43023233220203310011032
53313343424212321032
645440021301502330
72643360535246104
oct313575043640516
954514481141080
1014001200120142
11450896a503714
1216a16397119a6
137a73cc78b001
143659399cdc74
1519430b45e47c
hexcbbe88f414e

14001200120142 has 96 divisors (see below), whose sum is σ = 31251232355616. Its totient is φ = 4528490803200.

The previous prime is 14001200120129. The next prime is 14001200120197. The reversal of 14001200120142 is 24102100210041.

14001200120142 is a `hidden beast` number, since 1 + 400 + 1 + 2 + 0 + 0 + 120 + 142 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61219042 + ... + 61447322.

It is an arithmetic number, because the mean of its divisors is an integer number (325533670371).

Almost surely, 214001200120142 is an apocalyptic number.

14001200120142 is an abundant number, since it is smaller than the sum of its proper divisors (17250032235474).

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

14001200120142 is a wasteful number, since it uses less digits than its factorization.

14001200120142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229106 (or 229103 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 14001200120142 its reverse (24102100210041), we get a palindrome (38103300330183).

The spelling of 14001200120142 in words is "fourteen trillion, one billion, two hundred million, one hundred twenty thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 61 83 122 166 183 249 366 498 549 673 747 1098 1346 1494 2019 4038 5063 6057 10126 12114 15189 30378 41053 45567 55859 82106 91134 111718 123159 167577 228281 246318 335154 369477 456562 502731 684843 738954 1005462 1369686 2054529 3407399 4109058 6814798 10222197 13925141 18947323 20444394 27850282 30666591 37894646 41775423 56841969 61333182 83550846 113683938 125326269 153633113 170525907 250652538 307266226 341051814 460899339 921798678 1155786703 1382698017 2311573406 2765396034 3467360109 6934720218 9371619893 10402080327 12751548379 18743239786 20804160654 25503096758 28114859679 38254645137 56229719358 76509290274 84344579037 114763935411 168689158074 229527870822 777844451119 1555688902238 2333533353357 4667066706714 7000600060071 14001200120142