Search a number
-
+
424840048424 = 231120172393519
BaseRepresentation
bin1100010111010100111…
…00001010111100101000
31111121120211111120111022
412023222130022330220
523430033023022144
6523100244352012
742456634554161
oct6135234127450
91447524446438
10424840048424
111541a014a440
126a4060a5608
13310a69a014c
14167c31d0768
15b0b7522cee
hex62ea70af28

424840048424 has 32 divisors (see below), whose sum is σ = 869422204800. Its totient is φ = 193013291520.

The previous prime is 424840048291. The next prime is 424840048429.

424840048424 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (424840048429) 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, 1019264 + ... + 1374255.

It is an arithmetic number, because the mean of its divisors is an integer number (27169443900).

Almost surely, 2424840048424 is an apocalyptic number.

424840048424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

424840048424 is an abundant number, since it is smaller than the sum of its proper divisors (444582156376).

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

424840048424 is a wasteful number, since it uses less digits than its factorization.

424840048424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2395553 (or 2395549 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 44.

The spelling of 424840048424 in words is "four hundred twenty-four billion, eight hundred forty million, forty-eight thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 88 2017 4034 8068 16136 22187 44374 88748 177496 2393519 4787038 9574076 19148152 26328709 52657418 105314836 210629672 4827727823 9655455646 19310911292 38621822584 53105006053 106210012106 212420024212 424840048424