Search a number
-
+
114094897749 = 3272617419317
BaseRepresentation
bin110101001000010010…
…1011111101001010101
3101220111110200100001200
41222100211133221111
53332131243211444
6124225305343113
711146243425600
oct1522045375125
9356443610050
10114094897749
1144429660428
121a142197a99
13a9b3996921
145744d9b337
152e7b865969
hex1a9095fa55

114094897749 has 36 divisors (see below), whose sum is σ = 192021646284. Its totient is φ = 65091261312.

The previous prime is 114094897747. The next prime is 114094897771. The reversal of 114094897749 is 947798490411.

114094897749 is a `hidden beast` number, since 1 + 1 + 40 + 9 + 489 + 77 + 49 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 24443759025 + 89651138724 = 156345^2 + 299418^2 .

It is not a de Polignac number, because 114094897749 - 21 = 114094897747 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114094897747) 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 35 ways as a sum of consecutive naturals, for example, 62439 + ... + 481755.

It is an arithmetic number, because the mean of its divisors is an integer number (5333934619).

Almost surely, 2114094897749 is an apocalyptic number.

It is an amenable number.

114094897749 is a deficient number, since it is larger than the sum of its proper divisors (77926748535).

114094897749 is a wasteful number, since it uses less digits than its factorization.

114094897749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419954 (or 419944 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 114094897749 in words is "one hundred fourteen billion, ninety-four million, eight hundred ninety-seven thousand, seven hundred forty-nine".

Divisors: 1 3 7 9 21 49 63 147 441 617 1851 4319 5553 12957 30233 38871 90699 272097 419317 1257951 2935219 3773853 8805657 20546533 26416971 61639599 184918797 258718589 776155767 1811030123 2328467301 5433090369 12677210861 16299271107 38031632583 114094897749