Search a number
-
+
2043095140800 = 26345273194159
BaseRepresentation
bin11101101110110001111…
…101011100100111000000
321020022120210221211110000
4131232301331130213000
5231433224324001200
64202330203240000
7300415542105000
oct35566175344700
97208523854400
102043095140800
11718520a41a2a
1228bb70519000
1311a88092cc9c
1470c5a14c000
153822b59d300
hex1dbb1f5c9c0

2043095140800 has 3360 divisors, whose sum is σ = 9603760320000. Its totient is φ = 424308326400.

The previous prime is 2043095140747. The next prime is 2043095140811. The reversal of 2043095140800 is 80415903402.

2043095140800 is a `hidden beast` number, since 2 + 0 + 430 + 9 + 5 + 140 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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 (23) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 34628731171 + ... + 34628731229.

It is an arithmetic number, because the mean of its divisors is an integer number (2858262000).

Almost surely, 22043095140800 is an apocalyptic number.

2043095140800 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 2043095140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4801880160000).

2043095140800 is an abundant number, since it is smaller than the sum of its proper divisors (7560665179200).

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

2043095140800 is a wasteful number, since it uses less digits than its factorization.

2043095140800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 2043095140800 in words is "two trillion, forty-three billion, ninety-five million, one hundred forty thousand, eight hundred".