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35114242114053 = 327353446335029
BaseRepresentation
bin1111111101111101010111…
…11011011000001000000101
311121022212222220111120202200
413332332223323120020011
514100302431440122203
6202403132104425113
710252630440164304
oct776765373301005
9147285886446680
1035114242114053
1110208959279803
123b31460778199
131679349832c6b
1489577749243b
1540d606c409a3
hex1fefabed8205

35114242114053 has 12 divisors (see below), whose sum is σ = 51415374298860. Its totient is φ = 23088816732096.

The previous prime is 35114242113997. The next prime is 35114242114097. The reversal of 35114242114053 is 35041124241153.

35114242114053 is a `hidden beast` number, since 3 + 5 + 1 + 1 + 4 + 242 + 1 + 1 + 405 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8439733834884 + 26674508279169 = 2905122^2 + 5164737^2 .

It is not a de Polignac number, because 35114242114053 - 210 = 35114242113029 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 35114242113999 and 35114242114017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35114242114153) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26723166858 + ... + 26723168171.

It is an arithmetic number, because the mean of its divisors is an integer number (4284614524905).

Almost surely, 235114242114053 is an apocalyptic number.

It is an amenable number.

35114242114053 is a deficient number, since it is larger than the sum of its proper divisors (16301132184807).

35114242114053 is a wasteful number, since it uses less digits than its factorization.

35114242114053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53446335108 (or 53446335105 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 35114242114053 in words is "thirty-five trillion, one hundred fourteen billion, two hundred forty-two million, one hundred fourteen thousand, fifty-three".

Divisors: 1 3 9 73 219 657 53446335029 160339005087 481017015261 3901582457117 11704747371351 35114242114053