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34423400432443 = 1119316015212027
BaseRepresentation
bin1111101001110110100101…
…00011100000001100111011
311111212211210221222222001011
413310323102203200030323
514002443111002314233
6201113520345534351
710152002644605421
oct764732243401473
9144784727888034
1034423400432443
11aa71978145290
123a3b59b1a43b7
131629160898539
1487015c615111
153ea671bd90cd
hex1f4ed28e033b

34423400432443 has 16 divisors (see below), whose sum is σ = 39530522125440. Its totient is φ = 29646003888000.

The previous prime is 34423400432401. The next prime is 34423400432453.

34423400432443 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34423400432443 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34423400432396 and 34423400432405.

It is not an unprimeable number, because it can be changed into a prime (34423400432453) 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, 3998596 + ... + 9210622.

It is an arithmetic number, because the mean of its divisors is an integer number (2470657632840).

Almost surely, 234423400432443 is an apocalyptic number.

34423400432443 is a deficient number, since it is larger than the sum of its proper divisors (5107121692997).

34423400432443 is a wasteful number, since it uses less digits than its factorization.

34423400432443 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5243658.

The product of its (nonzero) digits is 1327104, while the sum is 40.

It can be divided in two parts, 34423400 and 432443, that added together give a palindrome (34855843).

The spelling of 34423400432443 in words is "thirty-four trillion, four hundred twenty-three billion, four hundred million, four hundred thirty-two thousand, four hundred forty-three".

Divisors: 1 11 19 209 31601 347611 600419 5212027 6604609 57332297 99028513 1089313643 164705265227 1811757917497 3129400039313 34423400432443