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14521212541 = 1121723319901
BaseRepresentation
bin11011000011000100…
…00001111001111101
31101111000020000202201
431201202001321331
5214214412300131
610400531551501
71022564161423
oct154142017175
941430200681
1014521212541
116181933a00
12299315b591
1314a55b0274
149ba7d1113
1559ec8b761
hex361881e7d

14521212541 has 48 divisors (see below), whose sum is σ = 18205737984. Its totient is φ = 11499840000.

The previous prime is 14521212533. The next prime is 14521212547.

14521212541 is nontrivially palindromic in base 10.

14521212541 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14521212541 - 23 = 14521212533 is a prime.

It is a super-2 number, since 2×145212125412 (a number of 21 digits) contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14521212547) 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 47 ways as a sum of consecutive naturals, for example, 1461691 + ... + 1471591.

It is an arithmetic number, because the mean of its divisors is an integer number (379286208).

Almost surely, 214521212541 is an apocalyptic number.

14521212541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14521212541 is a deficient number, since it is larger than the sum of its proper divisors (3684525443).

14521212541 is a wasteful number, since it uses less digits than its factorization.

14521212541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9994 (or 9983 counting only the distinct ones).

The product of its digits is 3200, while the sum is 28.

The spelling of 14521212541 in words is "fourteen billion, five hundred twenty-one million, two hundred twelve thousand, five hundred forty-one".

Divisors: 1 11 17 23 31 121 187 253 341 391 527 713 2057 2783 3751 4301 5797 7843 9901 12121 47311 63767 86273 108911 133331 168317 227723 306931 1198021 1466641 1851487 2504953 3376241 3871291 5217827 7059413 20366357 27554483 37138651 42584201 57396097 77653543 120010021 468426211 631357067 854188973 1320110231 14521212541