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4412341424 = 241919175991
BaseRepresentation
bin1000001101111111…
…01111110010110000
3102101111121011112202
410012333233302300
533014024411144
62005455442332
7214225166111
oct40677576260
912344534482
104412341424
111964719467
12a318263a8
1355419451a
142dc00c208
151ac57564e
hex106fefcb0

4412341424 has 40 divisors (see below), whose sum is σ = 9046087680. Its totient is φ = 2079086400.

The previous prime is 4412341391. The next prime is 4412341463. The reversal of 4412341424 is 4241432144.

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, 20069 + ... + 96059.

It is an arithmetic number, because the mean of its divisors is an integer number (226152192).

Almost surely, 24412341424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4412341424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4523043840).

4412341424 is an abundant number, since it is smaller than the sum of its proper divisors (4633746256).

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

4412341424 is a wasteful number, since it uses less digits than its factorization.

4412341424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76209 (or 76203 counting only the distinct ones).

The product of its digits is 12288, while the sum is 29.

The square root of 4412341424 is about 66425.4576499101. The cubic root of 4412341424 is about 1640.1731702922.

Adding to 4412341424 its reverse (4241432144), we get a palindrome (8653773568).

The spelling of 4412341424 in words is "four billion, four hundred twelve million, three hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 19 38 76 152 191 304 382 764 1528 3056 3629 7258 14516 29032 58064 75991 151982 303964 607928 1215856 1443829 2887658 5775316 11550632 14514281 23101264 29028562 58057124 116114248 232228496 275771339 551542678 1103085356 2206170712 4412341424