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34361311316343 = 3111041251858071
BaseRepresentation
bin1111101000000010111011…
…10000010100100101110111
311111122220112212101001202120
413310001131300110211313
514000433431144110333
6201025211332411023
710144344220044264
oct764013560244567
9144586485331676
1034361311316343
11aa486064933a0
123a2b551776a73
13162334739149b
1486b14c50a26b
153e8c3ad6ddb3
hex1f405dc14977

34361311316343 has 8 divisors (see below), whose sum is σ = 49980089187456. Its totient is φ = 20825037161400.

The previous prime is 34361311316341. The next prime is 34361311316389.

34361311316343 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 34361311316343 - 21 = 34361311316341 is a prime.

It is a super-2 number, since 2×343613113163432 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34361311316295 and 34361311316304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34361311316341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 520625929003 + ... + 520625929068.

It is an arithmetic number, because the mean of its divisors is an integer number (6247511148432).

Almost surely, 234361311316343 is an apocalyptic number.

34361311316343 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34361311316343 is a deficient number, since it is larger than the sum of its proper divisors (15618777871113).

34361311316343 is a wasteful number, since it uses less digits than its factorization.

34361311316343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041251858085.

The product of its digits is 419904, while the sum is 42.

The spelling of 34361311316343 in words is "thirty-four trillion, three hundred sixty-one billion, three hundred eleven million, three hundred sixteen thousand, three hundred forty-three".

Divisors: 1 3 11 33 1041251858071 3123755574213 11453770438781 34361311316343