Search a number
-
+
14221423025376 = 2537192431363321
BaseRepresentation
bin1100111011110010111011…
…0111100001110011100000
31212100112222102102002100020
43032330232313201303200
53331000433243303001
650125122002553440
72665315056123360
oct316745667416340
955315872362306
1014221423025376
1145932a9600936
121718259968880
137c20c76cb9a8
1437246b81c9a0
15199de9ed0736
hexcef2ede1ce0

14221423025376 has 288 divisors, whose sum is σ = 46075135696128. Its totient is φ = 3759883868160.

The previous prime is 14221423025309. The next prime is 14221423025377. The reversal of 14221423025376 is 67352032412241.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14221423025377) 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, 9749796 + ... + 11113116.

It is an arithmetic number, because the mean of its divisors is an integer number (159983110056).

Almost surely, 214221423025376 is an apocalyptic number.

14221423025376 is a gapful number since it is divisible by the number (16) 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 14221423025376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23037567848064).

14221423025376 is an abundant number, since it is smaller than the sum of its proper divisors (31853712670752).

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

14221423025376 is a wasteful number, since it uses less digits than its factorization.

14221423025376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363422 (or 1363395 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 14221423025376 in words is "fourteen trillion, two hundred twenty-one billion, four hundred twenty-three million, twenty-five thousand, three hundred seventy-six".