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401242144 = 2529432373
BaseRepresentation
bin10111111010100…
…111100000100000
31000222000012202011
4113322213200200
51310204222034
6103452002304
712641334112
oct2772474040
91028005664
10401242144
11196544186
12b2460394
1365187ab4
143b4093b2
152535b864
hex17ea7820

401242144 has 24 divisors (see below), whose sum is σ = 817186860. Its totient is φ = 193702656.

The previous prime is 401242139. The next prime is 401242147. The reversal of 401242144 is 441242104.

It can be written as a sum of positive squares in 2 ways, for example, as 394419600 + 6822544 = 19860^2 + 2612^2 .

It is not an unprimeable number, because it can be changed into a prime (401242147) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 215259 + ... + 217114.

Almost surely, 2401242144 is an apocalyptic number.

It is an amenable number.

401242144 is an abundant number, since it is smaller than the sum of its proper divisors (415944716).

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

401242144 is a wasteful number, since it uses less digits than its factorization.

401242144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432412 (or 432404 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 401242144 is about 20031.0295292079. The cubic root of 401242144 is about 737.5681945559.

Adding to 401242144 its reverse (441242104), we get a palindrome (842484248).

The spelling of 401242144 in words is "four hundred one million, two hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 928 432373 864746 1729492 3458984 6917968 12538817 13835936 25077634 50155268 100310536 200621072 401242144