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401141140 = 225136114737
BaseRepresentation
bin10111111010001…
…110110110010100
31000221211002012021
4113322032312110
51310143004030
6103445502524
712640433461
oct2772166624
91027732167
10401141140
11196485304
12b2411a44
1365150b2a
143b3c0668
152533b97a
hex17e8ed94

401141140 has 24 divisors (see below), whose sum is σ = 843072552. Its totient is φ = 160327680.

The previous prime is 401141101. The next prime is 401141141. The reversal of 401141140 is 41141104.

It can be written as a sum of positive squares in 4 ways, for example, as 43401744 + 357739396 = 6588^2 + 18914^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401141141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19852 + ... + 34588.

It is an arithmetic number, because the mean of its divisors is an integer number (35128023).

Almost surely, 2401141140 is an apocalyptic number.

It is an amenable number.

401141140 is an abundant number, since it is smaller than the sum of its proper divisors (441931412).

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

401141140 is a wasteful number, since it uses less digits than its factorization.

401141140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16107 (or 16105 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 401141140 is about 20028.5081820888. The cubic root of 401141140 is about 737.5063004345.

Adding to 401141140 its reverse (41141104), we get a palindrome (442282244).

The spelling of 401141140 in words is "four hundred one million, one hundred forty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 1361 2722 5444 6805 13610 14737 27220 29474 58948 73685 147370 294740 20057057 40114114 80228228 100285285 200570570 401141140