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4442404002440 = 235248214474441
BaseRepresentation
bin100000010100101001111…
…1010011001101010001000
3120201200121202212120210212
41000221103322121222020
51040241020411034230
613240451235100252
7635644624661315
oct100512372315210
916650552776725
104442404002440
111463016278688
125b8b74141688
13262bbc576981
14115029091d0c
157a855452895
hex40a53e99a88

4442404002440 has 32 divisors (see below), whose sum is σ = 9995813939160. Its totient is φ = 1776889612800.

The previous prime is 4442404002403. The next prime is 4442404002469. The reversal of 4442404002440 is 442004042444.

It can be written as a sum of positive squares in 4 ways, for example, as 3724429094884 + 717974907556 = 1929878^2 + 847334^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4442404002397 and 4442404002406.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1244381 + ... + 3230060.

Almost surely, 24442404002440 is an apocalyptic number.

4442404002440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4442404002440 is an abundant number, since it is smaller than the sum of its proper divisors (5553409936720).

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

4442404002440 is a wasteful number, since it uses less digits than its factorization.

4442404002440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4499273 (or 4499269 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 4442404002440 its reverse (442004042444), we get a palindrome (4884408044884).

The spelling of 4442404002440 in words is "four trillion, four hundred forty-two billion, four hundred four million, two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 24821 49642 99284 124105 198568 248210 496420 992840 4474441 8948882 17897764 22372205 35795528 44744410 89488820 178977640 111060100061 222120200122 444240400244 555300500305 888480800488 1110601000610 2221202001220 4442404002440