Search a number
-
+
14125125503000 = 2353793374311231
BaseRepresentation
bin1100110110001100001100…
…0101101000100000011000
31212000100102021122002120102
43031203003011220200120
53322411224112044000
650012554300514532
72655335530521311
oct315430305504030
955010367562512
1014125125503000
114556483117aa6
121701663b4ba48
137b5cbbc9c815
1436b9343c5608
15197660d4b3d5
hexcd8c3168818

14125125503000 has 256 divisors, whose sum is σ = 33675728486400. Its totient is φ = 5544564480000.

The previous prime is 14125125502951. The next prime is 14125125503039. The reversal of 14125125503000 is 30552152141.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11474512385 + ... + 11474513615.

It is an arithmetic number, because the mean of its divisors is an integer number (131545814400).

Almost surely, 214125125503000 is an apocalyptic number.

14125125503000 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 14125125503000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16837864243200).

14125125503000 is an abundant number, since it is smaller than the sum of its proper divisors (19550602983400).

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

14125125503000 is a wasteful number, since it uses less digits than its factorization.

14125125503000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2099 (or 2085 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 29.

Adding to 14125125503000 its reverse (30552152141), we get a palindrome (14155677655141).

The spelling of 14125125503000 in words is "fourteen trillion, one hundred twenty-five billion, one hundred twenty-five million, five hundred three thousand".