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424224332120320 = 285331425259469
BaseRepresentation
bin110000001110101000110110…
…0100111110000000100000000
32001122001110011002212210100121
41200131101230213300010000
5421100442413010322240
64102125545011030024
7155233124264353564
oct14035215447600400
92048043132783317
10424224332120320
1111319758aa81646
123b6b562659b314
131529324b9ab5c4
1476a87d26976a4
15340a0ad63b04a
hex181d46c9f0100

424224332120320 has 36 divisors (see below), whose sum is σ = 1016149845535020. Its totient is φ = 169689732847616.

The previous prime is 424224332120317. The next prime is 424224332120359. The reversal of 424224332120320 is 23021233422424.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 231304677359616 + 192919654760704 = 15208704^2 + 13889552^2 .

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, 165712628455 + ... + 165712631014.

It is an arithmetic number, because the mean of its divisors is an integer number (28226384598195).

Almost surely, 2424224332120320 is an apocalyptic number.

424224332120320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424224332120320 is an abundant number, since it is smaller than the sum of its proper divisors (591925513414700).

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

424224332120320 is an equidigital number, since it uses as much as digits as its factorization.

424224332120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331425259490 (or 331425259476 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

Adding to 424224332120320 its reverse (23021233422424), we get a palindrome (447245565542744).

The spelling of 424224332120320 in words is "four hundred twenty-four trillion, two hundred twenty-four billion, three hundred thirty-two million, one hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 331425259469 662850518938 1325701037876 1657126297345 2651402075752 3314252594690 5302804151504 6628505189380 10605608303008 13257010378760 21211216606016 26514020757520 42422433212032 53028041515040 84844866424064 106056083030080 212112166060160 424224332120320