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34400012332203 = 3273307165113983
BaseRepresentation
bin1111101001001011000001…
…00000111110110010101011
311111210121110000011101000100
413310211200200332302223
514002102211124112303
6201055051505440443
710150214242205310
oct764454040766253
9144717400141010
1034400012332203
11aa62a66178421
123a36b52640123
131626ba42a327b
1486cd8037cd07
153e9c537b68a3
hex1f496083ecab

34400012332203 has 24 divisors (see below), whose sum is σ = 56804494143488. Its totient is φ = 19651205681712.

The previous prime is 34400012332183. The next prime is 34400012332219. The reversal of 34400012332203 is 30223321000443.

34400012332203 is a `hidden beast` number, since 3 + 4 + 400 + 0 + 1 + 2 + 33 + 220 + 3 = 666.

It is not a de Polignac number, because 34400012332203 - 212 = 34400012328107 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34400012332223) 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 23 ways as a sum of consecutive naturals, for example, 82348651 + ... + 82765332.

Almost surely, 234400012332203 is an apocalyptic number.

34400012332203 is a deficient number, since it is larger than the sum of its proper divisors (22404481811285).

34400012332203 is a wasteful number, since it uses less digits than its factorization.

34400012332203 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165117303 (or 165117300 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 34400012332203 its reverse (30223321000443), we get a palindrome (64623333332646).

The spelling of 34400012332203 in words is "thirty-four trillion, four hundred billion, twelve million, three hundred thirty-two thousand, two hundred three".

Divisors: 1 3 7 9 21 63 3307 9921 23149 29763 69447 208341 165113983 495341949 1155797881 1486025847 3467393643 10402180929 546031941781 1638095825343 3822223592467 4914287476029 11466670777401 34400012332203