Search a number
-
+
14314770764660 = 2253123088339943
BaseRepresentation
bin1101000001001110101011…
…0100111001001101110100
31212200110220222122120102102
43100103222310321031310
53334013122303432120
650240040453001232
73005131235612642
oct320235264711564
955613828576372
1014314770764660
114619950a03003
12173236b923218
137cab52c79692
14376ba51a2192
1519c5601ded75
hexd04ead39374

14314770764660 has 24 divisors (see below), whose sum is σ = 31030728884736. Its totient is φ = 5541201586080.

The previous prime is 14314770764659. The next prime is 14314770764669. The reversal of 14314770764660 is 6646707741341.

14314770764660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×143147707646603 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 14314770764596 and 14314770764605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14314770764669) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11544169352 + ... + 11544170591.

It is an arithmetic number, because the mean of its divisors is an integer number (1292947036864).

Almost surely, 214314770764660 is an apocalyptic number.

14314770764660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14314770764660 is an abundant number, since it is smaller than the sum of its proper divisors (16715958120076).

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

14314770764660 is a wasteful number, since it uses less digits than its factorization.

14314770764660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23088339983 (or 23088339981 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 56.

The spelling of 14314770764660 in words is "fourteen trillion, three hundred fourteen billion, seven hundred seventy million, seven hundred sixty-four thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 23088339943 46176679886 92353359772 115441699715 230883399430 461766798860 715738538233 1431477076466 2862954152932 3578692691165 7157385382330 14314770764660