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34541521443 = 33111314396217
BaseRepresentation
bin100000001010110101…
…011100101000100011
310022011020222002121000
4200022311130220203
51031220112141233
623511304403043
72331654042102
oct401265345043
9108136862530
1034541521443
1113715874340
12683ba76483
133346248ab0
141959682039
15d726b9d13
hex80ad5ca23

34541521443 has 64 divisors (see below), whose sum is σ = 60170342400. Its totient is φ = 19307393280.

The previous prime is 34541521439. The next prime is 34541521477. The reversal of 34541521443 is 34412514543.

34541521443 is a `hidden beast` number, since 3 + 454 + 152 + 14 + 43 = 666.

It is not a de Polignac number, because 34541521443 - 22 = 34541521439 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34541521398 and 34541521407.

It is not an unprimeable number, because it can be changed into a prime (34541521433) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5552871 + ... + 5559087.

It is an arithmetic number, because the mean of its divisors is an integer number (940161600).

Almost surely, 234541521443 is an apocalyptic number.

34541521443 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34541521443 is a deficient number, since it is larger than the sum of its proper divisors (25628820957).

34541521443 is a wasteful number, since it uses less digits than its factorization.

34541521443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7689 (or 7683 counting only the distinct ones).

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

The spelling of 34541521443 in words is "thirty-four billion, five hundred forty-one million, five hundred twenty-one thousand, four hundred forty-three".

Divisors: 1 3 9 11 13 27 33 39 99 117 143 297 351 429 1287 1439 3861 4317 6217 12951 15829 18651 18707 38853 47487 55953 56121 68387 80821 142461 167859 168363 205161 205777 242463 427383 505089 615483 617331 727389 889031 1846449 1851993 2182167 2667093 5555979 8001279 8946263 24003837 26838789 80516367 98408893 116301419 241549101 295226679 348904257 885680037 1046712771 1279315609 2657040111 3140138313 3837946827 11513840481 34541521443