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2302002142440 = 233572111337611213
BaseRepresentation
bin100001011111111010000…
…001010001110011101000
322011001212111011020210220
4201133322001101303220
5300204000022024230
64521305235010040
7325212521234400
oct41377201216350
98131774136726
102302002142440
11808301218360
12312187a39920
1313910210a540
147d5bb887800
153ed31323d10
hex217fa051ce8

2302002142440 has 1536 divisors, whose sum is σ = 9860083914240. Its totient is φ = 422218137600.

The previous prime is 2302002142439. The next prime is 2302002142459. The reversal of 2302002142440 is 442412002032.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2302002142440.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1897775274 + ... + 1897776486.

It is an arithmetic number, because the mean of its divisors is an integer number (6419325465).

Almost surely, 22302002142440 is an apocalyptic number.

2302002142440 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 2302002142440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4930041957120).

2302002142440 is an abundant number, since it is smaller than the sum of its proper divisors (7558081771800).

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

2302002142440 is a wasteful number, since it uses less digits than its factorization.

2302002142440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 2302002142440 its reverse (442412002032), we get a palindrome (2744414144472).

It can be divided in two parts, 2302002 and 142440, that added together give a palindrome (2444442).

The spelling of 2302002142440 in words is "two trillion, three hundred two billion, two million, one hundred forty-two thousand, four hundred forty".