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14254644645241 = 7211134409461407
BaseRepresentation
bin1100111101101110101100…
…0001111100110101111001
31212110201201200202020100121
43033123223001330311321
53332022003012121431
650152254321333241
73000602245206100
oct317335301746571
955421650666317
1014254644645241
1145a63a7314620
12172278b797221
137c5290362120
14373cdda7d037
1519abe1878611
hexcf6eb07cd79

14254644645241 has 48 divisors (see below), whose sum is σ = 19485333665280. Its totient is φ = 10250743345920.

The previous prime is 14254644645223. The next prime is 14254644645271.

14254644645241 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14254644645241 - 27 = 14254644645113 is a prime.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (14254644645271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30663160 + ... + 31124566.

It is an arithmetic number, because the mean of its divisors is an integer number (405944451360).

Almost surely, 214254644645241 is an apocalyptic number.

14254644645241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14254644645241 is a deficient number, since it is larger than the sum of its proper divisors (5230689020039).

14254644645241 is a wasteful number, since it uses less digits than its factorization.

14254644645241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465854 (or 465847 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 52.

The spelling of 14254644645241 in words is "fourteen trillion, two hundred fifty-four billion, six hundred forty-four million, six hundred forty-five thousand, two hundred forty-one".

Divisors: 1 7 11 13 49 77 91 143 539 637 1001 4409 7007 30863 48499 57317 216041 339493 401219 461407 630487 2376451 2808533 3229849 4413409 5075477 5998291 22608943 30893863 35528339 41988037 65981201 248698373 293916259 461868407 2034343463 3233078849 14240404241 22377778093 26446465019 99682829687 156644446651 185125255133 290911115209 1096511126557 1295876785931 2036377806463 14254644645241