Search a number
-
+
14424212213130 = 235630176306471
BaseRepresentation
bin1101000111100110011000…
…0010111000110110001010
31220001221102011001012010210
43101321212002320312022
53342311241311310010
650402220331021550
73016054265564166
oct321714602706612
956057364035123
1014424212213130
114661301835085
12174b61359a8b6
13808274830905
1437c1c810bca6
151a0318255b20
hexd1e660b8d8a

14424212213130 has 32 divisors (see below), whose sum is σ = 34623603831168. Its totient is φ = 3845846088000.

The previous prime is 14424212213063. The next prime is 14424212213183. The reversal of 14424212213130 is 3131221242441.

It is a happy number.

It is a super-4 number, since 4×144242122131304 (a number of 54 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37964206 + ... + 38342265.

It is an arithmetic number, because the mean of its divisors is an integer number (1081987619724).

Almost surely, 214424212213130 is an apocalyptic number.

14424212213130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14424212213130 is an abundant number, since it is smaller than the sum of its proper divisors (20199391618038).

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

14424212213130 is a wasteful number, since it uses less digits than its factorization.

14424212213130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76312782.

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 14424212213130 its reverse (3131221242441), we get a palindrome (17555433455571).

The spelling of 14424212213130 in words is "fourteen trillion, four hundred twenty-four billion, two hundred twelve million, two hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 6301 12602 18903 31505 37806 63010 94515 189030 76306471 152612942 228919413 381532355 457838826 763064710 1144597065 2289194130 480807073771 961614147542 1442421221313 2404035368855 2884842442626 4808070737710 7212106106565 14424212213130