Search a number
-
+
20141300004320 = 255111923139293643
BaseRepresentation
bin1001001010001100000110…
…00010000011010111100000
32122022111012211100110002002
410211012003002003113200
510114443340300114240
6110500441355343132
74146106122160145
oct445060302032740
978274184313062
1020141300004320
116465971851710
122313628751aa8
13b314162b2951
144d8bb63ac3cc
1524ddc4c98d15
hex1251830835e0

20141300004320 has 768 divisors, whose sum is σ = 57713248051200. Its totient is φ = 6556500910080.

The previous prime is 20141300004317. The next prime is 20141300004337. The reversal of 20141300004320 is 2340000314102.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 20141300004292 and 20141300004301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31323949919 + ... + 31323950561.

It is an arithmetic number, because the mean of its divisors is an integer number (75147458400).

Almost surely, 220141300004320 is an apocalyptic number.

20141300004320 is a gapful number since it is divisible by the number (20) 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 20141300004320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28856624025600).

20141300004320 is an abundant number, since it is smaller than the sum of its proper divisors (37571948046880).

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

20141300004320 is a wasteful number, since it uses less digits than its factorization.

20141300004320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 20141300004320 its reverse (2340000314102), we get a palindrome (22481300318422).

The spelling of 20141300004320 in words is "twenty trillion, one hundred forty-one billion, three hundred million, four thousand, three hundred twenty".