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14414424444 = 2233719066699
BaseRepresentation
bin11010110110010101…
…01010100101111100
31101012120021122001000
431123022222211330
5214010043040234
610342155050300
71020126405030
oct153312524574
941176248030
1014414424444
116127626482
122963440990
131489430b44
149aa5541c0
155956e5899
hex35b2aa97c

14414424444 has 48 divisors (see below), whose sum is σ = 42709408000. Its totient is φ = 4118406768.

The previous prime is 14414424433. The next prime is 14414424463. The reversal of 14414424444 is 44442441441.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 14414424399 and 14414424408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9532594 + ... + 9534105.

Almost surely, 214414424444 is an apocalyptic number.

14414424444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14414424444 is an abundant number, since it is smaller than the sum of its proper divisors (28294983556).

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

14414424444 is a wasteful number, since it uses less digits than its factorization.

14414424444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19066719 (or 19066711 counting only the distinct ones).

The product of its digits is 131072, while the sum is 36.

Adding to 14414424444 its reverse (44442441441), we get a palindrome (58856865885).

The spelling of 14414424444 in words is "fourteen billion, four hundred fourteen million, four hundred twenty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 19066699 38133398 57200097 76266796 114400194 133466893 171600291 228800388 266933786 343200582 400400679 514800873 533867572 686401164 800801358 1029601746 1201202037 1601602716 2059203492 2402404074 3603606111 4804808148 7207212222 14414424444