Search a number
-
+
14124008105886 = 2373113779181989
BaseRepresentation
bin1100110110001000000001…
…1111000110011110011110
31212000020112102001102220010
43031202000133012132132
53322401432033342021
650012251343104050
72655266042016630
oct315420037063636
955006472042803
1014124008105886
114555a5a400008
1217013b18a2026
137b5b7163a3b3
1436b869c38a50
151975e7bca976
hexcd8807c679e

14124008105886 has 64 divisors (see below), whose sum is σ = 33568096112640. Its totient is φ = 3876750132480.

The previous prime is 14124008105881. The next prime is 14124008105891. The reversal of 14124008105886 is 68850180042141.

14124008105886 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14124008105881) and next prime (14124008105891).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14124008105881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39412621 + ... + 39769368.

It is an arithmetic number, because the mean of its divisors is an integer number (524501501760).

Almost surely, 214124008105886 is an apocalyptic number.

14124008105886 is an abundant number, since it is smaller than the sum of its proper divisors (19444088006754).

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

14124008105886 is a wasteful number, since it uses less digits than its factorization.

14124008105886 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79182169.

The product of its (nonzero) digits is 491520, while the sum is 48.

The spelling of 14124008105886 in words is "fourteen trillion, one hundred twenty-four billion, eight million, one hundred five thousand, eight hundred eighty-six".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 137 186 217 274 411 434 651 822 959 1302 1918 2877 4247 5754 8494 12741 25482 29729 59458 89187 178374 79181989 158363978 237545967 475091934 554273923 1108547846 1662821769 2454641659 3325643538 4909283318 7363924977 10847932493 14727849954 17182491613 21695864986 32543797479 34364983226 51547474839 65087594958 75935527451 103094949678 151871054902 227806582353 336285907283 455613164706 672571814566 1008857721849 2017715443698 2354001350981 4708002701962 7062004052943 14124008105886