Search a number
-
+
42005100114 = 23217137271569
BaseRepresentation
bin100111000111101100…
…101111011001010010
311000102102000011202200
4213013230233121102
51142011301200424
631144043024030
73014632313505
oct470754573122
9130372004680
1042005100114
11168a586947a
12818350b016
133c655c4133
1420669d313c
15115ca558c9
hex9c7b2f652

42005100114 has 24 divisors (see below), whose sum is σ = 96364642140. Its totient is φ = 13178070528.

The previous prime is 42005100101. The next prime is 42005100157. The reversal of 42005100114 is 41100150024.

42005100114 is a `hidden beast` number, since 42 + 0 + 0 + 510 + 0 + 114 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 41916420225 + 88679889 = 204735^2 + 9417^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68635479 + ... + 68636090.

Almost surely, 242005100114 is an apocalyptic number.

42005100114 is an abundant number, since it is smaller than the sum of its proper divisors (54359542026).

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

42005100114 is a wasteful number, since it uses less digits than its factorization.

42005100114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137271594 (or 137271591 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 42005100114 its reverse (41100150024), we get a palindrome (83105250138).

The spelling of 42005100114 in words is "forty-two billion, five million, one hundred thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 137271569 274543138 411814707 823629414 1235444121 2333616673 2470888242 4667233346 7000850019 14001700038 21002550057 42005100114