Search a number
-
+
14514289020 = 223357211471061
BaseRepresentation
bin11011000010001111…
…00111100101111100
31101110112012021111000
431201013213211330
5214211124222040
610400123330300
71022451264300
oct154107474574
941415167430
1014514289020
116178a35190
122990980990
1314a4027aca
149b990bd00
1559e370130
hex3611e797c

14514289020 has 576 divisors, whose sum is σ = 58577541120. Its totient is φ = 2949004800.

The previous prime is 14514289007. The next prime is 14514289039. The reversal of 14514289020 is 2098241541.

14514289020 is a `hidden beast` number, since 14 + 514 + 28 + 90 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 191 ways as a sum of consecutive naturals, for example, 13679290 + ... + 13680350.

It is an arithmetic number, because the mean of its divisors is an integer number (101697120).

Almost surely, 214514289020 is an apocalyptic number.

14514289020 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 14514289020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29288770560).

14514289020 is an abundant number, since it is smaller than the sum of its proper divisors (44063252100).

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

14514289020 is a wasteful number, since it uses less digits than its factorization.

14514289020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 14514289020 in words is "fourteen billion, five hundred fourteen million, two hundred eighty-nine thousand, twenty".