Search a number
-
+
14341112300000 = 25555910323599
BaseRepresentation
bin1101000010110000110011…
…1001111000000111100000
31212202222220202220012202102
43100230030321320013200
53334431044222100000
650300114355305532
73010053063146033
oct320541471700740
955688822805672
1014341112300000
11462a039026422
1217374a15ab2a8
13800490401495
1437818379d01a
1519d0a2a593d5
hexd0b0ce781e0

14341112300000 has 288 divisors, whose sum is σ = 36238430592000. Its totient is φ = 5584230720000.

The previous prime is 14341112299999. The next prime is 14341112300027. The reversal of 14341112300000 is 321114341.

It is a super-2 number, since 2×143411123000002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 47 ways as a sum of consecutive naturals, for example, 607688201 + ... + 607711799.

It is an arithmetic number, because the mean of its divisors is an integer number (125827884000).

Almost surely, 214341112300000 is an apocalyptic number.

14341112300000 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 14341112300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18119215296000).

14341112300000 is an abundant number, since it is smaller than the sum of its proper divisors (21897318292000).

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

14341112300000 is an equidigital number, since it uses as much as digits as its factorization.

14341112300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23796 (or 23768 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 14341112300000 its reverse (321114341), we get a palindrome (14341433414341).

The spelling of 14341112300000 in words is "fourteen trillion, three hundred forty-one billion, one hundred twelve million, three hundred thousand".