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34412353532001 = 3237103340400997
BaseRepresentation
bin1111101001100010000000…
…00110111011000001100001
311111211210022002022021111100
413310301000012323001201
514002303000001011001
6201104452244305013
710151132125524534
oct764610006730141
9144753262267440
1034412353532001
11aa682194934a5
123a394176a2169
1316280c002c563
1486d7d1416a1b
153ea226e83586
hex1f4c401bb061

34412353532001 has 12 divisors (see below), whose sum is σ = 51050158093012. Its totient is φ = 22321526615136.

The previous prime is 34412353531993. The next prime is 34412353532021. The reversal of 34412353532001 is 10023535321443.

34412353532001 is a `hidden beast` number, since 3 + 4 + 412 + 3 + 5 + 35 + 3 + 200 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22990116629601 + 11422236902400 = 4794801^2 + 3379680^2 .

It is not a de Polignac number, because 34412353532001 - 23 = 34412353531993 is a prime.

It is a super-2 number, since 2×344123535320012 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34412353532021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51670200166 + ... + 51670200831.

Almost surely, 234412353532001 is an apocalyptic number.

It is an amenable number.

34412353532001 is a deficient number, since it is larger than the sum of its proper divisors (16637804561011).

34412353532001 is a wasteful number, since it uses less digits than its factorization.

34412353532001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103340401040 (or 103340401037 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 34412353532001 its reverse (10023535321443), we get a palindrome (44435888853444).

The spelling of 34412353532001 in words is "thirty-four trillion, four hundred twelve billion, three hundred fifty-three million, five hundred thirty-two thousand, one".

Divisors: 1 3 9 37 111 333 103340400997 310021202991 930063608973 3823594836889 11470784510667 34412353532001