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1255310144 = 26112173937
BaseRepresentation
bin100101011010010…
…1000001101000000
310020111002100210022
41022310220031000
510032324411034
6324321353012
743051650224
oct11264501500
93214070708
101255310144
11594654100
122b0498768
131700bb88a
14bca0a784
1575313b2e
hex4ad28340

1255310144 has 84 divisors (see below), whose sum is σ = 2756813892. Its totient is φ = 566691840.

The previous prime is 1255310143. The next prime is 1255310149. The reversal of 1255310144 is 4410135521.

It can be written as a sum of positive squares in 2 ways, for example, as 581388544 + 673921600 = 24112^2 + 25960^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1255310143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1339244 + ... + 1340180.

It is an arithmetic number, because the mean of its divisors is an integer number (32819213).

Almost surely, 21255310144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1255310144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378406946).

1255310144 is an abundant number, since it is smaller than the sum of its proper divisors (1501503748).

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

1255310144 is a wasteful number, since it uses less digits than its factorization.

1255310144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 1255310144 is about 35430.3562499730. The cubic root of 1255310144 is about 1078.7405712267.

Adding to 1255310144 its reverse (4410135521), we get a palindrome (5665445665).

The spelling of 1255310144 in words is "one billion, two hundred fifty-five million, three hundred ten thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 173 176 242 346 352 484 692 704 937 968 1384 1874 1903 1936 2768 3748 3806 3872 5536 7496 7612 7744 10307 11072 14992 15224 20614 20933 29984 30448 41228 41866 59968 60896 82456 83732 113377 121792 162101 164912 167464 226754 324202 329824 334928 453508 648404 659648 669856 907016 1296808 1339712 1783111 1814032 2593616 3566222 3628064 5187232 7132444 7256128 10374464 14264888 19614221 28529776 39228442 57059552 78456884 114119104 156913768 313827536 627655072 1255310144