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34103553231141 = 3237310158937513
BaseRepresentation
bin1111100000100010110100…
…01011010000100100100101
311110202021020021001122110100
413300101122023100210211
513432223034111344031
6200310542302214313
710116620561343312
oct760213213204445
9143667207048410
1034103553231141
11a9592657a2989
1239a95b6b84399
131604c49c30a44
1485c899603d09
153e21a1de2de6
hex1f045a2d0925

34103553231141 has 12 divisors (see below), whose sum is σ = 49392754193068. Its totient is φ = 22674748526784.

The previous prime is 34103553230969. The next prime is 34103553231173. The reversal of 34103553231141 is 14113235530143.

34103553231141 is a `hidden beast` number, since 3 + 4 + 1 + 0 + 3 + 5 + 532 + 3 + 114 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15546886246116 + 18556666985025 = 3942954^2 + 4307745^2 .

It is not a de Polignac number, because 34103553231141 - 29 = 34103553230629 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34103553231096 and 34103553231105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34103553231641) 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, 5079465400 + ... + 5079472113.

Almost surely, 234103553231141 is an apocalyptic number.

It is an amenable number.

34103553231141 is a deficient number, since it is larger than the sum of its proper divisors (15289200961927).

34103553231141 is a wasteful number, since it uses less digits than its factorization.

34103553231141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10158937892 (or 10158937889 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 34103553231141 its reverse (14113235530143), we get a palindrome (48216788761284).

The spelling of 34103553231141 in words is "thirty-four trillion, one hundred three billion, five hundred fifty-three million, two hundred thirty-one thousand, one hundred forty-one".

Divisors: 1 3 9 373 1119 3357 10158937513 30476812539 91430437617 3789283692349 11367851077047 34103553231141