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34136322363143 = 71113401157154133
BaseRepresentation
bin1111100001011111110110…
…10111100100111100000111
311110212101210222222000210222
413300233323113210330013
513433242142011110033
6200334002054334555
710122160614355310
oct760577327447407
9143771728860728
1034136322363143
11a971151050860
1239b3a2135a45b
13160806cc05c90
148602c7719607
153e2e6dbaa598
hex1f0bfb5e4f07

34136322363143 has 64 divisors (see below), whose sum is σ = 45977778330624. Its totient is φ = 24476325120000.

The previous prime is 34136322363131. The next prime is 34136322363193.

34136322363143 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34136322363143 - 26 = 34136322363079 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34136322363094 and 34136322363103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34136322363103) 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, 630573905 + ... + 630628037.

It is an arithmetic number, because the mean of its divisors is an integer number (718402786416).

Almost surely, 234136322363143 is an apocalyptic number.

34136322363143 is a deficient number, since it is larger than the sum of its proper divisors (11841455967481).

34136322363143 is a wasteful number, since it uses less digits than its factorization.

34136322363143 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56136.

The product of its digits is 1679616, while the sum is 44.

It can be divided in two parts, 3413632 and 2363143, that added together give a palindrome (5776775).

The spelling of 34136322363143 in words is "thirty-four trillion, one hundred thirty-six billion, three hundred twenty-two million, three hundred sixty-three thousand, one hundred forty-three".

Divisors: 1 7 11 13 77 91 143 401 1001 1571 2807 4411 5213 10997 17281 20423 30877 36491 54133 57343 120967 142961 224653 378931 401401 595463 629971 703729 1572571 4168241 4409797 4926103 6929681 7741019 8189623 21707333 48507767 54187133 57327361 85042943 90085853 151951331 238780663 282195329 595300601 630600971 935472373 1105558259 1671464641 1975367303 3104148619 6548306611 7738907813 12161140849 21729040333 34102220143 85127985943 238715541001 375124421573 443328861859 2625870951011 3103302033013 4876617480449 34136322363143