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4244632364424 = 2332943141828133
BaseRepresentation
bin111101110001000111110…
…011011110010110001000
3120000210010201122102021210
4331301013303132112020
51024021001341130144
613005542430333120
7615443642540424
oct75610763362610
916023121572253
104244632364424
111397158348861
1258677a95a1a0
1324a361b096aa
14109626d11b84
157562c94dab9
hex3dc47cde588

4244632364424 has 64 divisors (see below), whose sum is σ = 11232788212800. Its totient is φ = 1334319065856.

The previous prime is 4244632364387. The next prime is 4244632364431.

4244632364424 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70884139 + ... + 70943994.

It is an arithmetic number, because the mean of its divisors is an integer number (175512315825).

Almost surely, 24244632364424 is an apocalyptic number.

It is an amenable number.

4244632364424 is an abundant number, since it is smaller than the sum of its proper divisors (6988155848376).

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

4244632364424 is a wasteful number, since it uses less digits than its factorization.

4244632364424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141828214 (or 141828210 counting only the distinct ones).

The product of its digits is 10616832, while the sum is 48.

The spelling of 4244632364424 in words is "four trillion, two hundred forty-four billion, six hundred thirty-two million, three hundred sixty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 29 43 58 86 87 116 129 172 174 232 258 344 348 516 696 1032 1247 2494 3741 4988 7482 9976 14964 29928 141828133 283656266 425484399 567312532 850968798 1134625064 1701937596 3403875192 4113015857 6098609719 8226031714 12197219438 12339047571 16452063428 18295829157 24394438876 24678095142 32904126856 36591658314 48788877752 49356190284 73183316628 98712380568 146366633256 176859681851 353719363702 530579045553 707438727404 1061158091106 1414877454808 2122316182212 4244632364424