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4414320404240 = 24555179005053
BaseRepresentation
bin100000000111100100111…
…1111111110011100010000
3120122000010120121222111012
41000033021333332130100
51034311012010413430
613215524422110052
7633631655223605
oct100171177763420
916560116558435
104414320404240
11145211487269a
125b3636b7b328
13260365238b46
141139233806ac
1579c5ebc6695
hex403c9ffe710

4414320404240 has 20 divisors (see below), whose sum is σ = 10263294940044. Its totient is φ = 1765728161664.

The previous prime is 4414320404239. The next prime is 4414320404251. The reversal of 4414320404240 is 424040234144.

It can be written as a sum of positive squares in 2 ways, for example, as 3156549182224 + 1257771222016 = 1776668^2 + 1121504^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 4414320404197 and 4414320404206.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27589502447 + ... + 27589502606.

Almost surely, 24414320404240 is an apocalyptic number.

4414320404240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4414320404240 is an abundant number, since it is smaller than the sum of its proper divisors (5848974535804).

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

4414320404240 is a wasteful number, since it uses less digits than its factorization.

4414320404240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55179005066 (or 55179005060 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 4414320404240 its reverse (424040234144), we get a palindrome (4838360638384).

The spelling of 4414320404240 in words is "four trillion, four hundred fourteen billion, three hundred twenty million, four hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 55179005053 110358010106 220716020212 275895025265 441432040424 551790050530 882864080848 1103580101060 2207160202120 4414320404240