Search a number
-
+
14035025235000 = 23354711199227269
BaseRepresentation
bin1100110000111100100010…
…1100011000110000111000
31211200201212001002020121110
43030033020230120300320
53314422212430010000
645503333535240320
72645666003055240
oct314171054306070
954621761066543
1014035025235000
1145212479420a0
1216a80b96790a0
137aa660471a83
14367428066b20
1519513acb5850
hexcc3c8b18c38

14035025235000 has 1280 divisors, whose sum is σ = 55386270720000. Its totient is φ = 2878191360000.

The previous prime is 14035025234999. The next prime is 14035025235013. The reversal of 14035025235000 is 53252053041.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 319 ways as a sum of consecutive naturals, for example, 52174814866 + ... + 52174815134.

It is an arithmetic number, because the mean of its divisors is an integer number (43270524000).

Almost surely, 214035025235000 is an apocalyptic number.

14035025235000 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 14035025235000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27693135360000).

14035025235000 is an abundant number, since it is smaller than the sum of its proper divisors (41351245485000).

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

14035025235000 is a wasteful number, since it uses less digits than its factorization.

14035025235000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

Adding to 14035025235000 its reverse (53252053041), we get a palindrome (14088277288041).

The spelling of 14035025235000 in words is "fourteen trillion, thirty-five billion, twenty-five million, two hundred thirty-five thousand".