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424240014 = 231123229419
BaseRepresentation
bin11001010010010…
…110001110001110
31002120021121220010
4121102112032032
51332101140024
6110032534050
713340660232
oct3122261616
91076247803
10424240014
111a8521890
12ba0b1326
1369b7a8c3
14404b45c2
15273a0b29
hex1949638e

424240014 has 96 divisors (see below), whose sum is σ = 1003363200. Its totient is φ = 118444480.

The previous prime is 424240013. The next prime is 424240027. The reversal of 424240014 is 410042424.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424240013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1012297 + ... + 1012715.

It is an arithmetic number, because the mean of its divisors is an integer number (10451700).

Almost surely, 2424240014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424240014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501681600).

424240014 is an abundant number, since it is smaller than the sum of its proper divisors (579123186).

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

424240014 is a wasteful number, since it uses less digits than its factorization.

424240014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 424240014 is about 20597.0875125587. The cubic root of 424240014 is about 751.3988790056.

Adding to 424240014 its reverse (410042424), we get a palindrome (834282438).

The spelling of 424240014 in words is "four hundred twenty-four million, two hundred forty thousand, fourteen".

Divisors: 1 2 3 6 11 22 23 29 33 46 58 66 69 87 138 174 253 319 419 506 529 638 667 759 838 957 1058 1257 1334 1518 1587 1914 2001 2514 3174 4002 4609 5819 7337 9218 9637 11638 12151 13827 14674 15341 17457 19274 22011 24302 27654 28911 30682 34914 36453 44022 46023 57822 72906 92046 106007 133661 168751 212014 221651 267322 279473 318021 337502 400983 443302 506253 558946 636042 664953 801966 838419 1012506 1329906 1676838 2438161 3074203 4876322 6148406 6427879 7314483 9222609 12855758 14628966 18445218 19283637 38567274 70706669 141413338 212120007 424240014