Search a number
-
+
14416000125 = 353374012591
BaseRepresentation
bin11010110110100001…
…01011010001111101
31101012200020200110120
431123100223101331
5214010444001000
610342252525153
71020145656612
oct153320532175
941180220416
1014416000125
11612850229a
122963a807b9
1314898630b7
149aa844509
155959076a0
hex35b42b47d

14416000125 has 64 divisors (see below), whose sum is σ = 24707524608. Its totient is φ = 7459200000.

The previous prime is 14416000117. The next prime is 14416000133. The reversal of 14416000125 is 52100061441.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14416000117) and next prime (14416000133).

It is not a de Polignac number, because 14416000125 - 23 = 14416000117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14416000095 and 14416000104.

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, 5562580 + ... + 5565170.

It is an arithmetic number, because the mean of its divisors is an integer number (386055072).

Almost surely, 214416000125 is an apocalyptic number.

14416000125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14416000125 is a deficient number, since it is larger than the sum of its proper divisors (10291524483).

14416000125 is a wasteful number, since it uses less digits than its factorization.

14416000125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3047 (or 3037 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 14416000125 its reverse (52100061441), we get a palindrome (66516061566).

The spelling of 14416000125 in words is "fourteen billion, four hundred sixteen million, one hundred twenty-five", and thus it is an aban number.

Divisors: 1 3 5 15 25 37 75 111 125 185 375 401 555 925 1203 2005 2591 2775 4625 6015 7773 10025 12955 13875 14837 30075 38865 44511 50125 64775 74185 95867 150375 194325 222555 287601 323875 370925 479335 971625 1038991 1112775 1438005 1854625 2396675 3116973 5194955 5563875 7190025 11983375 15584865 25974775 35950125 38442667 77924325 115328001 129873875 192213335 389621625 576640005 961066675 2883200025 4805333375 14416000125