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2340041204000 = 255329127715797
BaseRepresentation
bin100010000011010101010…
…100110010000100100000
322021201001111100210110202
4202003111110302010200
5301314401022012000
64551000004044332
7331030255022453
oct42032524620440
98251044323422
102340041204000
11822451289315
123196230936a8
1313c884b410a6
148138984749a
1540d0aab1dd5
hex220d5532120

2340041204000 has 192 divisors, whose sum is σ = 5952773604960. Its totient is φ = 902975180800.

The previous prime is 2340041203921. The next prime is 2340041204009. The reversal of 2340041204000 is 4021400432.

It can be written as a sum of positive squares in 16 ways, for example, as 10163344 + 2340031040656 = 3188^2 + 1529716^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2340041204009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148124102 + ... + 148139898.

Almost surely, 22340041204000 is an apocalyptic number.

2340041204000 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 2340041204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2976386802480).

2340041204000 is an abundant number, since it is smaller than the sum of its proper divisors (3612732400960).

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

2340041204000 is a wasteful number, since it uses less digits than its factorization.

2340041204000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17128 (or 17110 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 2340041204000 its reverse (4021400432), we get a palindrome (2344062604432).

The spelling of 2340041204000 in words is "two trillion, three hundred forty billion, forty-one million, two hundred four thousand".