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245254015413144 = 2332191078232035853
BaseRepresentation
bin110111110000111010100110…
…011101111110101110011000
31012011101001111000111011201200
4313300322212131332232120
5224121220210421210034
62225340050030114200
7102442006063463223
oct6760724635765630
91164331430434650
10245254015413144
1171166709a3a491
122360ba5564b960
13a6b047b86689a
14447c5016a05ba
151d54946ab3a99
hexdf0ea677eb98

245254015413144 has 192 divisors, whose sum is σ = 706581404755200. Its totient is φ = 76631553992448.

The previous prime is 245254015413079. The next prime is 245254015413241. The reversal of 245254015413144 is 441314510452542.

245254015413144 is a `hidden beast` number, since 2 + 4 + 5 + 2 + 540 + 1 + 54 + 13 + 1 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 245254015413144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119449522 + ... + 121485374.

It is an arithmetic number, because the mean of its divisors is an integer number (3680111483100).

Almost surely, 2245254015413144 is an apocalyptic number.

245254015413144 is a gapful number since it is divisible by the number (24) 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 245254015413144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353290702377600).

245254015413144 is an abundant number, since it is smaller than the sum of its proper divisors (461327389342056).

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

245254015413144 is a wasteful number, since it uses less digits than its factorization.

245254015413144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2036814 (or 2036807 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 45.

Adding to 245254015413144 its reverse (441314510452542), we get a palindrome (686568525865686).

The spelling of 245254015413144 in words is "two hundred forty-five trillion, two hundred fifty-four billion, fifteen million, four hundred thirteen thousand, one hundred forty-four".