Search a number
-
+
2010424454144 = 21019412818969
BaseRepresentation
bin11101010000010110101…
…000101010110000000000
321010012020221021222201022
4131100112220222300000
5230414322130013034
64135324245125012
7265151122621451
oct35202650526000
97105227258638
102010424454144
11705686213547
122857730b9768
13117775175a32
146d43b141128
153746827eb2e
hex1d416a2ac00

2010424454144 has 176 divisors, whose sum is σ = 4349493439200. Its totient is φ = 925669785600.

The previous prime is 2010424454111. The next prime is 2010424454177. The reversal of 2010424454144 is 4414544240102.

It is an interprime number because it is at equal distance from previous prime (2010424454111) and next prime (2010424454177).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 224148092 + ... + 224157060.

Almost surely, 22010424454144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010424454144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2174746719600).

2010424454144 is an abundant number, since it is smaller than the sum of its proper divisors (2339068985056).

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

2010424454144 is a wasteful number, since it uses less digits than its factorization.

2010424454144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9330 (or 9312 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 35.

Adding to 2010424454144 its reverse (4414544240102), we get a palindrome (6424968694246).

The spelling of 2010424454144 in words is "two trillion, ten billion, four hundred twenty-four million, four hundred fifty-four thousand, one hundred forty-four".