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44113255231144 = 2311501286991263
BaseRepresentation
bin10100000011110111010101…
…11010000110111010101000
312210012012000121022120021011
422001323222322012322220
521240222421314344034
6233453203310553304
712202035405453121
oct1201735272067250
9183165017276234
1044113255231144
1113068365603120
124b4553bb08834
131b7cb290c9068
14ac7143083048
1551774897c864
hex281eeae86ea8

44113255231144 has 16 divisors (see below), whose sum is σ = 90231658427520. Its totient is φ = 20051479650480.

The previous prime is 44113255231139. The next prime is 44113255231169.

44113255231144 is nontrivially palindromic in base 10.

44113255231144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 44113255231097 and 44113255231106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 250643495544 + ... + 250643495719.

It is an arithmetic number, because the mean of its divisors is an integer number (5639478651720).

Almost surely, 244113255231144 is an apocalyptic number.

44113255231144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44113255231144 is an abundant number, since it is smaller than the sum of its proper divisors (46118403196376).

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

44113255231144 is a wasteful number, since it uses less digits than its factorization.

44113255231144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501286991280 (or 501286991276 counting only the distinct ones).

The product of its digits is 230400, while the sum is 40.

It can be divided in two parts, 4411325 and 5231144, that added together give a palindrome (9642469).

The spelling of 44113255231144 in words is "forty-four trillion, one hundred thirteen billion, two hundred fifty-five million, two hundred thirty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 501286991263 1002573982526 2005147965052 4010295930104 5514156903893 11028313807786 22056627615572 44113255231144