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14460062500 = 2256132372
BaseRepresentation
bin11010111011110001…
…10000101100100100
31101022202011021200101
431131320300230210
5214103234000000
610350505153444
71021222334422
oct153570605444
941282137611
1014460062500
116150367a84
12297678b884
131495a1ca00
149b2634112
1559970ce6a
hex35de30b24

14460062500 has 189 divisors, whose sum is σ = 35202029877. Its totient is φ = 5194800000.

The previous prime is 14460062483. The next prime is 14460062501. The reversal of 14460062500 is 526006441.

The square root of 14460062500 is 120250.

It is a perfect power (a square), and thus also a powerful number.

14460062500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 31 ways, for example, as 2449656036 + 12010406464 = 49494^2 + 109592^2 .

It is a super-3 number, since 3×144600625003 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14460062501) by changing a digit.

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 62 ways as a sum of consecutive naturals, for example, 390812482 + ... + 390812518.

Almost surely, 214460062500 is an apocalyptic number.

14460062500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14460062500 is the 120250-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14460062500

14460062500 is an abundant number, since it is smaller than the sum of its proper divisors (20741967377).

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

14460062500 is an frugal number, since it uses more digits than its factorization.

14460062500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 14460062500 its reverse (526006441), we get a palindrome (14986068941).

It can be divided in two parts, 144 and 60062500, that multiplied together give a square (8649000000 = 930002).

The spelling of 14460062500 in words is "fourteen billion, four hundred sixty million, sixty-two thousand, five hundred".