Search a number
-
+
14469152412 = 223112133179313
BaseRepresentation
bin11010111100110110…
…11011111010011100
31101100101021002200210
431132123123322130
5214113100334122
610351432052420
71021362523551
oct153633337234
941311232623
1014469152412
116155506400
122979834110
131497883260
149b391ca28
1559a40640c
hex35e6dbe9c

14469152412 has 288 divisors, whose sum is σ = 41909002240. Its totient is φ = 3854822400.

The previous prime is 14469152329. The next prime is 14469152419. The reversal of 14469152412 is 21425196441.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14469152419) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46227168 + ... + 46227480.

Almost surely, 214469152412 is an apocalyptic number.

14469152412 is a gapful number since it is divisible by the number (12) 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 14469152412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20954501120).

14469152412 is an abundant number, since it is smaller than the sum of its proper divisors (27439849828).

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

14469152412 is a wasteful number, since it uses less digits than its factorization.

14469152412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 452 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The spelling of 14469152412 in words is "fourteen billion, four hundred sixty-nine million, one hundred fifty-two thousand, four hundred twelve".