Search a number
-
+
14119681996800 = 21132523143127181
BaseRepresentation
bin1100110101110111111010…
…1000010011100000000000
31211222211100220201022212200
43031131332220103200000
53322314102042344200
650010254203353200
72655053611501662
oct315357650234000
954884326638780
1014119681996800
11455413a42a246
1217005a4b22800
137b56322a8c33
1436b579476532
15197442eda800
hexcd77ea13800

14119681996800 has 1728 divisors, whose sum is σ = 54130615418880. Its totient is φ = 3511517184000.

The previous prime is 14119681996789. The next prime is 14119681996801. The reversal of 14119681996800 is 869918691141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14119681996801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 78009292710 + ... + 78009292890.

Almost surely, 214119681996800 is an apocalyptic number.

14119681996800 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 14119681996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27065307709440).

14119681996800 is an abundant number, since it is smaller than the sum of its proper divisors (40010933422080).

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

14119681996800 is a wasteful number, since it uses less digits than its factorization.

14119681996800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 63.

The spelling of 14119681996800 in words is "fourteen trillion, one hundred nineteen billion, six hundred eighty-one million, nine hundred ninety-six thousand, eight hundred".