Search a number
-
+
14430132000424 = 23712291442314537
BaseRepresentation
bin1101000111111100011011…
…1001000101011010101000
31220002111200201011112200001
43101333012321011122220
53342410402243003144
650405040000352344
73016354060132240
oct321770671053250
956074621145601
1014430132000424
11466386a359978
1217507a60156b4
138089a90c352a
1437c5ca3dab20
151a0562ce6bd4
hexd1fc6e456a8

14430132000424 has 64 divisors (see below), whose sum is σ = 30951146131200. Its totient is φ = 6178456794624.

The previous prime is 14430132000421. The next prime is 14430132000433. The reversal of 14430132000424 is 42400023103441.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 14430132000392 and 14430132000401.

It is not an unprimeable number, because it can be changed into a prime (14430132000421) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 992641284 + ... + 992655820.

It is an arithmetic number, because the mean of its divisors is an integer number (483611658300).

Almost surely, 214430132000424 is an apocalyptic number.

14430132000424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14430132000424 is an abundant number, since it is smaller than the sum of its proper divisors (16521014130776).

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

14430132000424 is a wasteful number, since it uses less digits than its factorization.

14430132000424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30202 (or 30198 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 14430132000424 its reverse (42400023103441), we get a palindrome (56830155103865).

The spelling of 14430132000424 in words is "fourteen trillion, four hundred thirty billion, one hundred thirty-two million, four hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 28 56 1229 2458 4916 8603 9832 14423 14537 17206 28846 29074 34412 57692 58148 68824 100961 101759 115384 116296 201922 203518 403844 407036 807688 814072 17725867 17865973 35451734 35731946 70903468 71463892 124081069 125061811 141806936 142927784 209667151 248162138 250123622 419334302 496324276 500247244 838668604 992648552 1000494488 1467670057 1677337208 2935340114 5870680228 11741360456 257680928579 515361857158 1030723714316 1803766500053 2061447428632 3607533000106 7215066000212 14430132000424