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4440444240 = 243518501851
BaseRepresentation
bin1000010001010101…
…11100110101010000
3102110110110221100210
410020222330311100
533043223203430
62012342044120
7215016103401
oct41052746520
912413427323
104440444240
111979573531
12a3b119640
13559c53acb
14301a459a8
151aec772b0
hex108abcd50

4440444240 has 40 divisors (see below), whose sum is σ = 13765377888. Its totient is φ = 1184118400.

The previous prime is 4440444199. The next prime is 4440444257. The reversal of 4440444240 is 424440444.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a junction number, because it is equal to n+sod(n) for n = 4440444198 and 4440444207.

It is a congruent number.

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, 9250686 + ... + 9251165.

Almost surely, 24440444240 is an apocalyptic number.

4440444240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4440444240 is an abundant number, since it is smaller than the sum of its proper divisors (9324933648).

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

4440444240 is a wasteful number, since it uses less digits than its factorization.

4440444240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18501867 (or 18501861 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

The square root of 4440444240 is about 66636.6583796036. The cubic root of 4440444240 is about 1643.6479672001.

Adding to 4440444240 its reverse (424440444), we get a palindrome (4864884684).

The spelling of 4440444240 in words is "four billion, four hundred forty million, four hundred forty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 18501851 37003702 55505553 74007404 92509255 111011106 148014808 185018510 222022212 277527765 296029616 370037020 444044424 555055530 740074040 888088848 1110111060 1480148080 2220222120 4440444240