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4414234324144 = 249715718116071
BaseRepresentation
bin100000000111100010011…
…0111100110110010110000
3120121222220120122122210111
41000033010313212302300
51034310322441333034
613215512105111104
7633626561445331
oct100170467466260
916558816578714
104414234324144
111452080219417
125b3612188494
1326035045a188
14113915b74288
1579c57371364
hex403c4de6cb0

4414234324144 has 40 divisors (see below), whose sum is σ = 8695787024288. Its totient is φ = 2170450114560.

The previous prime is 4414234324117. The next prime is 4414234324147.

4414234324144 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×44142343241442 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4414234324097 and 4414234324106.

It is not an unprimeable number, because it can be changed into a prime (4414234324147) by changing a digit.

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, 8814372 + ... + 9301699.

Almost surely, 24414234324144 is an apocalyptic number.

It is an amenable number.

4414234324144 is a deficient number, since it is larger than the sum of its proper divisors (4281552700144).

4414234324144 is a wasteful number, since it uses less digits than its factorization.

4414234324144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18116333 (or 18116327 counting only the distinct ones).

The product of its digits is 589824, while the sum is 40.

The spelling of 4414234324144 in words is "four trillion, four hundred fourteen billion, two hundred thirty-four million, three hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 97 157 194 314 388 628 776 1256 1552 2512 15229 30458 60916 121832 243664 18116071 36232142 72464284 144928568 289857136 1757258887 2844223147 3514517774 5688446294 7029035548 11376892588 14058071096 22753785176 28116142192 45507570352 275889645259 551779290518 1103558581036 2207117162072 4414234324144