Search a number
-
+
14231244210420 = 223519294395991637
BaseRepresentation
bin1100111100010111100001…
…0000011000000011110100
31212101111022212200222110110
43033011320100120003310
53331131042004213140
650133424321023020
72666113332614046
oct317057020300364
955344285628413
1014231244210420
114597489392596
12171a13aa84a70
137c300133b7a3
14372b1dd15a96
1519a2c231b380
hexcf1784180f4

14231244210420 has 384 divisors, whose sum is σ = 43589145600000. Its totient is φ = 3455485802496.

The previous prime is 14231244210367. The next prime is 14231244210451. The reversal of 14231244210420 is 2401244213241.

It is a super-2 number, since 2×142312442104202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 8693489842 + ... + 8693491478.

It is an arithmetic number, because the mean of its divisors is an integer number (113513400000).

Almost surely, 214231244210420 is an apocalyptic number.

14231244210420 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 14231244210420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21794572800000).

14231244210420 is an abundant number, since it is smaller than the sum of its proper divisors (29357901389580).

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

14231244210420 is a wasteful number, since it uses less digits than its factorization.

14231244210420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2735 (or 2733 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 14231244210420 its reverse (2401244213241), we get a palindrome (16632488423661).

The spelling of 14231244210420 in words is "fourteen trillion, two hundred thirty-one billion, two hundred forty-four million, two hundred ten thousand, four hundred twenty".