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348042414271 = 167101911171831
BaseRepresentation
bin1010001000010001111…
…00011100100010111111
31020021100200012112120211
411010020330130202333
521200242324224041
6423515524453251
734100546465146
oct5041074344277
91207320175524
10348042414271
11124670962202
125755284a227
1326a88154986
1412bb989875d
1590c026d481
hex5108f1c8bf

348042414271 has 16 divisors (see below), whose sum is σ = 350975439360. Its totient is φ = 345120812640.

The previous prime is 348042414253. The next prime is 348042414329. The reversal of 348042414271 is 172414240843.

It is a cyclic number.

It is not a de Polignac number, because 348042414271 - 29 = 348042413759 is a prime.

It is a super-2 number, since 2×3480424142712 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348042414241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190082326 + ... + 190084156.

It is an arithmetic number, because the mean of its divisors is an integer number (21935964960).

Almost surely, 2348042414271 is an apocalyptic number.

348042414271 is a deficient number, since it is larger than the sum of its proper divisors (2933025089).

348042414271 is a wasteful number, since it uses less digits than its factorization.

348042414271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4134.

The product of its (nonzero) digits is 172032, while the sum is 40.

The spelling of 348042414271 in words is "three hundred forty-eight billion, forty-two million, four hundred fourteen thousand, two hundred seventy-one".

Divisors: 1 167 1019 1117 1831 170173 186539 305777 1138223 1865789 2045227 190083241 311586763 341552909 2084086313 348042414271