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34412332441434 = 23151247715334157
BaseRepresentation
bin1111101001100001111101…
…10110011101111101011010
311111211210020121121202200020
413310300332312131331122
514002302424101111214
6201104450212251310
710151131451334153
oct764607666357532
9144753217552606
1034412332441434
11aa68208598882
123a39410610b36
1316280b885692c
1486d7cc6c692a
153ea2251b94a9
hex1f4c3ed9df5a

34412332441434 has 32 divisors (see below), whose sum is σ = 69308431387776. Its totient is φ = 11390211076800.

The previous prime is 34412332441433. The next prime is 34412332441441. The reversal of 34412332441434 is 43414423321443.

It is not an unprimeable number, because it can be changed into a prime (34412332441433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5422917 + ... + 9911240.

It is an arithmetic number, because the mean of its divisors is an integer number (2165888480868).

Almost surely, 234412332441434 is an apocalyptic number.

34412332441434 is an abundant number, since it is smaller than the sum of its proper divisors (34896098946342).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34412332441434 is a wasteful number, since it uses less digits than its factorization.

34412332441434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15336790.

The product of its digits is 1327104, while the sum is 42.

Adding to 34412332441434 its reverse (43414423321443), we get a palindrome (77826755762877).

The spelling of 34412332441434 in words is "thirty-four trillion, four hundred twelve billion, three hundred thirty-two million, four hundred forty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 151 302 453 906 2477 4954 7431 14862 374027 748054 1122081 2244162 15334157 30668314 46002471 92004942 2315457707 4630915414 6946373121 13892746242 37982706889 75965413778 113948120667 227896241334 5735388740239 11470777480478 17206166220717 34412332441434