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4442212510040 = 235635317480767
BaseRepresentation
bin100000010100100100001…
…1111111010100101011000
3120201200010102112202121202
41000221020133322211120
51040240122400310130
613240420234453332
7635640111216404
oct100511037724530
916650112482552
104442212510040
111462a281765a8
125b8b1bb94248
13262b8b9aab66
1411500b886104
157a843729145
hex40a487fa958

4442212510040 has 32 divisors (see below), whose sum is σ = 9996551988480. Its totient is φ = 1776605210112.

The previous prime is 4442212510031. The next prime is 4442212510117. The reversal of 4442212510040 is 400152122444.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4442212509985 and 4442212510012.

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 7 ways as a sum of consecutive naturals, for example, 8486264 + ... + 8994503.

It is an arithmetic number, because the mean of its divisors is an integer number (312392249640).

Almost surely, 24442212510040 is an apocalyptic number.

4442212510040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4442212510040 is an abundant number, since it is smaller than the sum of its proper divisors (5554339478440).

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

4442212510040 is a wasteful number, since it uses less digits than its factorization.

4442212510040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17487131 (or 17487127 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 29.

Adding to 4442212510040 its reverse (400152122444), we get a palindrome (4842364632484).

The spelling of 4442212510040 in words is "four trillion, four hundred forty-two billion, two hundred twelve million, five hundred ten thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 6353 12706 25412 31765 50824 63530 127060 254120 17480767 34961534 69923068 87403835 139846136 174807670 349615340 699230680 111055312751 222110625502 444221251004 555276563755 888442502008 1110553127510 2221106255020 4442212510040