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34541214543 = 3211237911941
BaseRepresentation
bin100000001010110100…
…010001101101001111
310022011020101111121100
4200022310101231033
51031220022331133
623511254034143
72331651323253
oct401264215517
9108136344540
1034541214543
1113715684800
12683b948953
13334616c1b4
141959602263
15d72658e13
hex80ad11b4f

34541214543 has 72 divisors (see below), whose sum is σ = 56444851008. Its totient is φ = 20324304000.

The previous prime is 34541214529. The next prime is 34541214553.

34541214543 is a `hidden beast` number, since 3 + 454 + 121 + 45 + 43 = 666.

34541214543 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34541214543 - 29 = 34541214031 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 34541214498 and 34541214507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34541214553) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36706453 + ... + 36707393.

It is an arithmetic number, because the mean of its divisors is an integer number (783956264).

Almost surely, 234541214543 is an apocalyptic number.

34541214543 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34541214543 is a deficient number, since it is larger than the sum of its proper divisors (21903636465).

34541214543 is a wasteful number, since it uses less digits than its factorization.

34541214543 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1917 (or 1903 counting only the distinct ones).

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

The spelling of 34541214543 in words is "thirty-four billion, five hundred forty-one million, two hundred fourteen thousand, five hundred forty-three".

Divisors: 1 3 9 11 33 37 99 111 121 333 363 407 911 941 1089 1221 2733 2823 3663 4477 8199 8469 10021 10351 13431 30063 31053 33707 34817 40293 90189 93159 101121 104451 110231 113861 303363 313353 330693 341583 370777 382987 857251 992079 1024749 1112331 1148961 2571753 3336993 3446883 4078547 4212857 7715259 9429761 12235641 12638571 28289283 31718287 36706923 37915713 84867849 95154861 103727371 285464583 311182113 348901157 933546339 1046703471 3140110413 3837912727 11513738181 34541214543