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245040120000000 = 2933571331563
BaseRepresentation
bin110111101101110011011001…
…010011101110111000000000
31012010121121101021112100212000
4313231303121103232320000
5224104214131210000000
62225053513241104000
7102420364414455513
oct6755633123567000
91163547337470760
10245040120000000
1171093a27614776
1223596500488000
13a6962517c7070
14447200dd6cd7a
151d4e0c87ba000
hexdedcd94eee00

245040120000000 has 2560 divisors, whose sum is σ = 1009698415165440. Its totient is φ = 58268160000000.

The previous prime is 245040119999963. The next prime is 245040120000029. The reversal of 245040120000000 is 21040542.

245040120000000 is a `hidden beast` number, since 245 + 0 + 401 + 20 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a super-2 number, since 2×2450401200000002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 435239999719 + ... + 435240000281.

It is an arithmetic number, because the mean of its divisors is an integer number (394413443424).

Almost surely, 2245040120000000 is an apocalyptic number.

245040120000000 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 245040120000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504849207582720).

245040120000000 is an abundant number, since it is smaller than the sum of its proper divisors (764658295165440).

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

245040120000000 is an frugal number, since it uses more digits than its factorization.

245040120000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 245040120000000 its reverse (21040542), we get a palindrome (245040141040542).

The spelling of 245040120000000 in words is "two hundred forty-five trillion, forty billion, one hundred twenty million", and thus it is an aban number.