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2452312240000 = 275476171789
BaseRepresentation
bin100011101011111001001…
…100110010111110000000
322200102211212010100120021
4203223321030302332000
5310134313413140000
65114324322023224
7342113404052230
oct43537114627600
98612755110507
102452312240000
11866024367387
123373364a7b14
1314a3379b187c
148699a4b9cc0
1543bcc25911a
hex23af9332f80

2452312240000 has 320 divisors, whose sum is σ = 7091479375200. Its totient is φ = 826997760000.

The previous prime is 2452312239869. The next prime is 2452312240013. The reversal of 2452312240000 is 422132542.

2452312240000 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 (320).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34124106 + ... + 34195894.

Almost surely, 22452312240000 is an apocalyptic number.

2452312240000 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 2452312240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3545739687600).

2452312240000 is an abundant number, since it is smaller than the sum of its proper divisors (4639167135200).

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

2452312240000 is an frugal number, since it uses more digits than its factorization.

2452312240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71891 (or 71864 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 2452312240000 its reverse (422132542), we get a palindrome (2452734372542).

The spelling of 2452312240000 in words is "two trillion, four hundred fifty-two billion, three hundred twelve million, two hundred forty thousand".