Search a number
-
+
14240245008 = 2431161343997
BaseRepresentation
bin11010100001100100…
…01110010100010000
31100202102112101202210
431100302032110100
5213131000320013
610313013512120
71012613041203
oct152062162420
940672471683
1014240245008
116048279930
122915042640
13145c3173a2
1499137393a
1558528bcc3
hex350c8e510

14240245008 has 80 divisors (see below), whose sum is σ = 40197980736. Its totient is φ = 4308088320.

The previous prime is 14240245003. The next prime is 14240245013. The reversal of 14240245008 is 80054204241.

It is an interprime number because it is at equal distance from previous prime (14240245003) and next prime (14240245013).

It is not an unprimeable number, because it can be changed into a prime (14240245003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 301666 + ... + 345662.

Almost surely, 214240245008 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 14240245008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20098990368).

14240245008 is an abundant number, since it is smaller than the sum of its proper divisors (25957735728).

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

14240245008 is a wasteful number, since it uses less digits than its factorization.

14240245008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44632 (or 44626 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 14240245008 its reverse (80054204241), we get a palindrome (94294449249).

The spelling of 14240245008 in words is "fourteen billion, two hundred forty million, two hundred forty-five thousand, eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 613 1226 1839 2452 3678 4904 6743 7356 9808 13486 14712 20229 26972 29424 40458 43997 53944 80916 87994 107888 131991 161832 175988 263982 323664 351976 483967 527964 703952 967934 1055928 1451901 1935868 2111856 2903802 3871736 5807604 7743472 11615208 23230416 26970161 53940322 80910483 107880644 161820966 215761288 296671771 323641932 431522576 593343542 647283864 890015313 1186687084 1294567728 1780030626 2373374168 3560061252 4746748336 7120122504 14240245008