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2342014422000 = 2435311232953201
BaseRepresentation
bin100010000101001010111…
…100000000101111110000
322021220011000022122200220
4202011022330000233300
5301332421143001000
64551523453013040
7331130205060561
oct42051274005760
98256130278626
102342014422000
118232740a31a0
12319a93a84180
1313cb0a89c0c6
14814d5930168
1540dc3e341a0
hex2214af00bf0

2342014422000 has 640 divisors, whose sum is σ = 8891765176320. Its totient is φ = 524339200000.

The previous prime is 2342014421963. The next prime is 2342014422001. The reversal of 2342014422000 is 2244102432.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2342014422001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 43995400 + ... + 44048600.

It is an arithmetic number, because the mean of its divisors is an integer number (13893383088).

Almost surely, 22342014422000 is an apocalyptic number.

2342014422000 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 2342014422000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4445882588160).

2342014422000 is an abundant number, since it is smaller than the sum of its proper divisors (6549750754320).

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

2342014422000 is a wasteful number, since it uses less digits than its factorization.

2342014422000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53290 (or 53274 counting only the distinct ones).

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

Adding to 2342014422000 its reverse (2244102432), we get a palindrome (2344258524432).

The spelling of 2342014422000 in words is "two trillion, three hundred forty-two billion, fourteen million, four hundred twenty-two thousand".