Search a number
-
+
14511125062000 = 2453754111291697
BaseRepresentation
bin1101001100101010001001…
…1101000110000101110000
31220101020202020220101001101
43103022202131012011300
53400222241003441000
650510152511014144
73025252130606140
oct323124235060560
956336666811041
1014511125062000
11469515187a8a6
12176442a50a354
13813515ba6338
143824b0dd8920
151a2703575e6a
hexd32a2746170

14511125062000 has 320 divisors, whose sum is σ = 40233859511040. Its totient is φ = 4958724096000.

The previous prime is 14511125061959. The next prime is 14511125062019. The reversal of 14511125062000 is 26052111541.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 14511125062000.

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 63 ways as a sum of consecutive naturals, for example, 8551045152 + ... + 8551046848.

It is an arithmetic number, because the mean of its divisors is an integer number (125730810972).

Almost surely, 214511125062000 is an apocalyptic number.

14511125062000 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 14511125062000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20116929755520).

14511125062000 is an abundant number, since it is smaller than the sum of its proper divisors (25722734449040).

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

14511125062000 is a wasteful number, since it uses less digits than its factorization.

14511125062000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3397 (or 3381 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 28.

Adding to 14511125062000 its reverse (26052111541), we get a palindrome (14537177173541).

The spelling of 14511125062000 in words is "fourteen trillion, five hundred eleven billion, one hundred twenty-five million, sixty-two thousand".