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34246222264243 = 1128326912676429
BaseRepresentation
bin1111100100101100100011…
…11010011011011110110011
311111020220111010000110022101
413302112101322123132303
513442042230344423433
6200500255230521231
710133131212202243
oct762262172333663
9144226433013271
1034246222264243
11aa03817742100
123a11192666217
131615535756362
148657514c3b23
153e5c520ce07d
hex1f2591e9b7b3

34246222264243 has 24 divisors (see below), whose sum is σ = 38237690509200. Its totient is φ = 30643489990080.

The previous prime is 34246222264237. The next prime is 34246222264249.

34246222264243 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (34246222264237) and next prime (34246222264249).

It is not a de Polignac number, because 34246222264243 - 29 = 34246222263731 is a prime.

It is a super-4 number, since 4×342462222642434 (a number of 55 digits) contains 4444 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34246222264193 and 34246222264202.

It is not an unprimeable number, because it can be changed into a prime (34246222264249) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3636648 + ... + 9039781.

It is an arithmetic number, because the mean of its divisors is an integer number (1593237104550).

Almost surely, 234246222264243 is an apocalyptic number.

34246222264243 is a deficient number, since it is larger than the sum of its proper divisors (3991468244957).

34246222264243 is a wasteful number, since it uses less digits than its factorization.

34246222264243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12676803 (or 12676792 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 46.

It can be divided in two parts, 3424622 and 2264243, that added together give a palindrome (5688865).

The spelling of 34246222264243 in words is "thirty-four trillion, two hundred forty-six billion, two hundred twenty-two million, two hundred sixty-four thousand, two hundred forty-three".

Divisors: 1 11 83 121 269 913 2959 10043 22327 32549 245597 2701567 12676429 139440719 1052143607 1533847909 3409959401 11573579677 37509553411 127309376447 283026630283 412605087521 3113292933113 34246222264243