Search a number
-
+
14442224322020 = 225111910147237243
BaseRepresentation
bin1101001000101001011110…
…1001101000010111100100
31220010122220110000010102212
43102022113221220113210
53343110133411301040
650414355525022552
73020262532151165
oct322122751502744
956118813003385
1014442224322020
114668a05138090
121752bbb854a58
13809b85410901
1437d0163ab76c
151a0a1e701d65
hexd2297a685e4

14442224322020 has 192 divisors, whose sum is σ = 35184309672960. Its totient is φ = 4924328256000.

The previous prime is 14442224321971. The next prime is 14442224322023. The reversal of 14442224322020 is 2022342224441.

It is a super-3 number, since 3×144422243220203 (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (14442224322023) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1993952519 + ... + 1993959761.

It is an arithmetic number, because the mean of its divisors is an integer number (183251612880).

Almost surely, 214442224322020 is an apocalyptic number.

14442224322020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14442224322020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17592154836480).

14442224322020 is an abundant number, since it is smaller than the sum of its proper divisors (20742085350940).

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

14442224322020 is a wasteful number, since it uses less digits than its factorization.

14442224322020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12106 (or 12104 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 14442224322020 its reverse (2022342224441), we get a palindrome (16464566546461).

It can be divided in two parts, 144422 and 24322020, that added together give a palindrome (24466442).

The spelling of 14442224322020 in words is "fourteen trillion, four hundred forty-two billion, two hundred twenty-four million, three hundred twenty-two thousand, twenty".