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9141214347 = 3217263367619
BaseRepresentation
bin10001000001101101…
…11101110010001011
3212121001210210200100
420200312331302023
5122210122324342
64111023540443
7442346016456
oct104066756213
925531723610
109141214347
113970a82701
12193145a723
13b28ac4295
1462a09449d
153877c2e4c
hex220dbdc8b

9141214347 has 48 divisors (see below), whose sum is σ = 14094812160. Its totient is φ = 5689080576.

The previous prime is 9141214343. The next prime is 9141214363. The reversal of 9141214347 is 7434121419.

9141214347 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 9141214347 - 22 = 9141214343 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9141214343) 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, 14767404 + ... + 14768022.

It is an arithmetic number, because the mean of its divisors is an integer number (293641920).

Almost surely, 29141214347 is an apocalyptic number.

9141214347 is a deficient number, since it is larger than the sum of its proper divisors (4953597813).

9141214347 is a wasteful number, since it uses less digits than its factorization.

9141214347 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1269 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 9141214347 is about 95609.6979756761. The cubic root of 9141214347 is about 2090.9065873750.

The spelling of 9141214347 in words is "nine billion, one hundred forty-one million, two hundred fourteen thousand, three hundred forty-seven".

Divisors: 1 3 9 17 51 153 263 367 619 789 1101 1857 2367 3303 4471 5571 6239 10523 13413 18717 31569 40239 56151 94707 96521 162797 227173 289563 488391 681519 868689 1465173 1640857 2044557 2767549 3861941 4922571 8302647 11585823 14767713 24907941 34757469 59746499 179239497 537718491 1015690483 3047071449 9141214347