Search a number
-
+
424100444243344 = 241118891275628171
BaseRepresentation
bin110000001101101111001010…
…0010101000000010110010000
32001121121121101010222120021121
41200123132110111000112100
5421041430202211241334
64101553015431532024
7155221150235651101
oct14033362425002620
92047547333876247
10424100444243344
11113149a96554a60
123b69561082a014
131528466719c31b
1476a27dcc663a8
153406c5c1abdb4
hex181b794540590

424100444243344 has 40 divisors (see below), whose sum is σ = 896868655169760. Its totient is φ = 192670878796800.

The previous prime is 424100444243323. The next prime is 424100444243363. The reversal of 424100444243344 is 443342444001424.

It is a super-2 number, since 2×4241004442433442 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 424100444243344.

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, 637481622 + ... + 638146549.

It is an arithmetic number, because the mean of its divisors is an integer number (22421716379244).

Almost surely, 2424100444243344 is an apocalyptic number.

424100444243344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

424100444243344 is an abundant number, since it is smaller than the sum of its proper divisors (472768210926416).

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

424100444243344 is a wasteful number, since it uses less digits than its factorization.

424100444243344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275630079 (or 1275630073 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 43.

Adding to 424100444243344 its reverse (443342444001424), we get a palindrome (867442888244768).

The spelling of 424100444243344 in words is "four hundred twenty-four trillion, one hundred billion, four hundred forty-four million, two hundred forty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 1889 3778 7556 15112 20779 30224 41558 83116 166232 332464 1275628171 2551256342 5102512684 10205025368 14031909881 20410050736 28063819762 56127639524 112255279048 224510558096 2409661615019 4819323230038 9638646460076 19277292920152 26506277765209 38554585840304 53012555530418 106025111060836 212050222121672 424100444243344