Search a number
-
+
14131443554500 = 2253229123418721
BaseRepresentation
bin1100110110100011101110…
…1011000101100011000100
31212000221201121011100212211
43031220323223011203010
53323012144022221000
650015521234353204
72655651226211446
oct315507353054304
955027647140784
1014131443554500
114559125531668
121702927a2b804
137b6787c1692c
1436bd73546496
151978d085b7ba
hexcda3bac58c4

14131443554500 has 48 divisors (see below), whose sum is σ = 30997846217520. Its totient is φ = 5627893632000.

The previous prime is 14131443554489. The next prime is 14131443554507. The reversal of 14131443554500 is 545534413141.

14131443554500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1036482814084 + 13094960740416 = 1018078^2 + 3618696^2 .

It is not an unprimeable number, because it can be changed into a prime (14131443554507) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61594861 + ... + 61823860.

It is an arithmetic number, because the mean of its divisors is an integer number (645788462865).

Almost surely, 214131443554500 is an apocalyptic number.

14131443554500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14131443554500 is an abundant number, since it is smaller than the sum of its proper divisors (16866402663020).

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

14131443554500 is a wasteful number, since it uses less digits than its factorization.

14131443554500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123418969 (or 123418957 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 40.

Adding to 14131443554500 its reverse (545534413141), we get a palindrome (14676977967641).

The spelling of 14131443554500 in words is "fourteen trillion, one hundred thirty-one billion, four hundred forty-three million, five hundred fifty-four thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 229 250 458 500 916 1145 2290 4580 5725 11450 22900 28625 57250 114500 123418721 246837442 493674884 617093605 1234187210 2468374420 3085468025 6170936050 12341872100 15427340125 28262887109 30854680250 56525774218 61709360500 113051548436 141314435545 282628871090 565257742180 706572177725 1413144355450 2826288710900 3532860888625 7065721777250 14131443554500