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114313555142001 = 3212701506126889
BaseRepresentation
bin11001111111011110110010…
…110110001110010101110001
3112222202021021012120001220200
4121333132302312032111301
5104440403130104021001
61043042531112425413
733035611314331635
oct3177366266162561
9488667235501820
10114313555142001
1133473119802956
12109a28963a8269
134ba29502bb277
142032b3c778dc5
15d33857dda086
hex67f7b2d8e571

114313555142001 has 6 divisors (see below), whose sum is σ = 165119579649570. Its totient is φ = 76209036761328.

The previous prime is 114313555141997. The next prime is 114313555142057. The reversal of 114313555142001 is 100241555313411.

114313555142001 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 135 + 5 + 514 + 2 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 93123966805776 + 21189588336225 = 9650076^2 + 4603215^2 .

It is not a de Polignac number, because 114313555142001 - 22 = 114313555141997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114313555142081) 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 5 ways as a sum of consecutive naturals, for example, 6350753063436 + ... + 6350753063453.

It is an arithmetic number, because the mean of its divisors is an integer number (27519929941595).

Almost surely, 2114313555142001 is an apocalyptic number.

It is an amenable number.

114313555142001 is a deficient number, since it is larger than the sum of its proper divisors (50806024507569).

114313555142001 is a wasteful number, since it uses less digits than its factorization.

114313555142001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12701506126895 (or 12701506126892 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 114313555142001 in words is "one hundred fourteen trillion, three hundred thirteen billion, five hundred fifty-five million, one hundred forty-two thousand, one".

Divisors: 1 3 9 12701506126889 38104518380667 114313555142001