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2424994381440 = 273451715118223
BaseRepresentation
bin100011010010011100111…
…011011011111010000000
322120211100000202100120000
4203102130323123322000
5304212342030201230
65054005501320000
7340125423066561
oct43223473337200
98524300670500
102424994381440
11855486121974
12331b91866000
131478a31bc717
1485528376168
154312dd38b60
hex2349cedbe80

2424994381440 has 640 divisors, whose sum is σ = 9230741752320. Its totient is φ = 604562227200.

The previous prime is 2424994381421. The next prime is 2424994381441. The reversal of 2424994381440 is 441834994242.

2424994381440 is a `hidden beast` number, since 2 + 4 + 2 + 499 + 4 + 3 + 8 + 144 + 0 = 666.

2424994381440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2424994381441) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 133064169 + ... + 133082391.

It is an arithmetic number, because the mean of its divisors is an integer number (14423033988).

Almost surely, 22424994381440 is an apocalyptic number.

2424994381440 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 2424994381440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4615370876160).

2424994381440 is an abundant number, since it is smaller than the sum of its proper divisors (6805747370880).

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

2424994381440 is a wasteful number, since it uses less digits than its factorization.

2424994381440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18422 (or 18401 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 2424994381440 in words is "two trillion, four hundred twenty-four billion, nine hundred ninety-four million, three hundred eighty-one thousand, four hundred forty".