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2024432423442 = 2341113194797859
BaseRepresentation
bin11101011101011001100…
…100110101001000010010
321011112102011202120010000
4131131121210311020102
5231132014200022232
64150002244350430
7266155215451212
oct35353144651022
97145364676100
102024432423442
11710614365180
122884223a5416
13118b98315070
146dda96d0242
15379d7e3927c
hex1d759935212

2024432423442 has 320 divisors, whose sum is σ = 5729178470400. Its totient is φ = 525051227520.

The previous prime is 2024432423407. The next prime is 2024432423449. The reversal of 2024432423442 is 2443242344202.

2024432423442 is a `hidden beast` number, since 2 + 0 + 244 + 32 + 42 + 344 + 2 = 666.

It is a super-2 number, since 2×20244324234422 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2024432423397 and 2024432423406.

It is not an unprimeable number, because it can be changed into a prime (2024432423449) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 20638309 + ... + 20736167.

It is an arithmetic number, because the mean of its divisors is an integer number (17903682720).

Almost surely, 22024432423442 is an apocalyptic number.

2024432423442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2024432423442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2864589235200).

2024432423442 is an abundant number, since it is smaller than the sum of its proper divisors (3704746046958).

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

2024432423442 is a wasteful number, since it uses less digits than its factorization.

2024432423442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97963 (or 97954 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 2024432423442 its reverse (2443242344202), we get a palindrome (4467674767644).

The spelling of 2024432423442 in words is "two trillion, twenty-four billion, four hundred thirty-two million, four hundred twenty-three thousand, four hundred forty-two".