Search a number
-
+
14118168738625 = 537216937136093
BaseRepresentation
bin1100110101110010010001…
…1011101011101101000001
31211222200110110020211220121
43031130210123223231001
53322303002144114000
650005444105140241
72655001245144400
oct315344433535501
954880413224817
1014118168738625
114553533213a56
12170024218a681
137b54509240b3
1436b4744c1637
151973a5222b1a
hexcd7246ebb41

14118168738625 has 48 divisors (see below), whose sum is σ = 20497484249424. Its totient is φ = 9680387270400.

The previous prime is 14118168738593. The next prime is 14118168738677. The reversal of 14118168738625 is 52683786181141.

It can be written as a sum of positive squares in 8 ways, for example, as 7578942928144 + 6539225810481 = 2752988^2 + 2557191^2 .

It is not a de Polignac number, because 14118168738625 - 25 = 14118168738593 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103671079 + ... + 103807171.

It is an arithmetic number, because the mean of its divisors is an integer number (427030921863).

Almost surely, 214118168738625 is an apocalyptic number.

It is an amenable number.

14118168738625 is a deficient number, since it is larger than the sum of its proper divisors (6379315510799).

14118168738625 is a wasteful number, since it uses less digits than its factorization.

14118168738625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153059 (or 153042 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 61.

The spelling of 14118168738625 in words is "fourteen trillion, one hundred eighteen billion, one hundred sixty-eight million, seven hundred thirty-eight thousand, six hundred twenty-five".

Divisors: 1 5 7 25 35 49 125 175 245 875 1225 6125 16937 84685 118559 136093 423425 592795 680465 829913 952651 2117125 2963975 3402325 4149565 4763255 6668557 14819875 17011625 20747825 23816275 33342785 103739125 119081375 166713925 833569625 2305007141 11525035705 16135049987 57625178525 80675249935 112945349909 288125892625 403376249675 564726749545 2016881248375 2823633747725 14118168738625