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2342722842240 = 273511234822799
BaseRepresentation
bin100010000101110101001…
…010011010111010000000
322021221222101100010120120
4202011311022122322000
5301340344021422430
64552122040540240
7331153566411654
oct42056512327200
98257871303516
102342722842240
118235a7a73870
1231a051181680
1313cbc1598c91
1481561a5aa64
1540e1621b610
hex2217529ae80

2342722842240 has 256 divisors, whose sum is σ = 8500474368000. Its totient is φ = 543239966720.

The previous prime is 2342722842157. The next prime is 2342722842241. The reversal of 2342722842240 is 422482272432.

It is a junction number, because it is equal to n+sod(n) for n = 2342722842192 and 2342722842201.

It is not an unprimeable number, because it can be changed into a prime (2342722842241) 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 31 ways as a sum of consecutive naturals, for example, 1925640 + ... + 2897159.

It is an arithmetic number, because the mean of its divisors is an integer number (33204978000).

Almost surely, 22342722842240 is an apocalyptic number.

2342722842240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2342722842240 is an abundant number, since it is smaller than the sum of its proper divisors (6157751525760).

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

2342722842240 is a wasteful number, since it uses less digits than its factorization.

2342722842240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4822855 (or 4822843 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 42.

The spelling of 2342722842240 in words is "two trillion, three hundred forty-two billion, seven hundred twenty-two million, eight hundred forty-two thousand, two hundred forty".