Search a number
-
+
424231222132424 = 2372331101106998407
BaseRepresentation
bin110000001110101100000011…
…1010011000011111011001000
32001122002002221021122200010002
41200131120013103003323020
5421101101020331214144
64102133044415542132
7155233460106451460
oct14035300723037310
92048062837580102
10424231222132424
1111319a4a6232723
123b6b6a29b2a948
1315293aa9284845
1476a8c87782ba0
15340a36347b14e
hex181d6074c3ec8

424231222132424 has 256 divisors, whose sum is σ = 989821358899200. Its totient is φ = 166474611072000.

The previous prime is 424231222132409. The next prime is 424231222132441.

424231222132424 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4310937029 + ... + 4311035435.

It is an arithmetic number, because the mean of its divisors is an integer number (3866489683200).

Almost surely, 2424231222132424 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 424231222132424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494910679449600).

424231222132424 is an abundant number, since it is smaller than the sum of its proper divisors (565590136766776).

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

424231222132424 is a wasteful number, since it uses less digits than its factorization.

424231222132424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99644 (or 99640 counting only the distinct ones).

The product of its digits is 294912, while the sum is 38.

The spelling of 424231222132424 in words is "four hundred twenty-four trillion, two hundred thirty-one billion, two hundred twenty-two million, one hundred thirty-two thousand, four hundred twenty-four".