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349351153943 = 111714871256347
BaseRepresentation
bin1010001010101101111…
…00111001000100010111
31020101201212211101220112
411011112330321010113
521210432343411233
6424253435353235
734145150545541
oct5052674710427
91211655741815
10349351153943
11125182689740
1257858bb281b
1326c3632c94c
1412ca1612691
15914a0d8048
hex5156f39117

349351153943 has 16 divisors (see below), whose sum is σ = 403800297984. Its totient is φ = 298708824960.

The previous prime is 349351153939. The next prime is 349351154083.

349351153943 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 349351153943 - 22 = 349351153939 is a prime.

It is a super-2 number, since 2×3493511539432 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 349351153891 and 349351153900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349351153913) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 350105 + ... + 906242.

It is an arithmetic number, because the mean of its divisors is an integer number (25237518624).

Almost surely, 2349351153943 is an apocalyptic number.

349351153943 is a deficient number, since it is larger than the sum of its proper divisors (54449144041).

349351153943 is a wasteful number, since it uses less digits than its factorization.

349351153943 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257862.

The product of its digits is 2624400, while the sum is 50.

The spelling of 349351153943 in words is "three hundred forty-nine billion, three hundred fifty-one million, one hundred fifty-three thousand, nine hundred forty-three".

Divisors: 1 11 17 187 1487 16357 25279 278069 1256347 13819817 21357899 234936889 1868187989 20550067879 31759195813 349351153943