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401144131 = 19139193787
BaseRepresentation
bin10111111010001…
…111100101000011
31000221211020022001
4113322033211003
51310143103011
6103445524431
712640445263
oct2772174503
91027736261
10401144131
11196487583
12b2413717
13651522bb
143b3c17a3
152533c7c1
hex17e8f943

401144131 has 16 divisors (see below), whose sum is σ = 428041600. Its totient is φ = 374865408.

The previous prime is 401144129. The next prime is 401144137. The reversal of 401144131 is 131441104.

It is a cyclic number.

It is not a de Polignac number, because 401144131 - 21 = 401144129 is a prime.

It is a super-2 number, since 2×4011441312 = 321833227671490322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 401144099 and 401144108.

It is not an unprimeable number, because it can be changed into a prime (401144137) 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 15 ways as a sum of consecutive naturals, for example, 509320 + ... + 510106.

It is an arithmetic number, because the mean of its divisors is an integer number (26752600).

Almost surely, 2401144131 is an apocalyptic number.

401144131 is a deficient number, since it is larger than the sum of its proper divisors (26897469).

401144131 is a wasteful number, since it uses less digits than its factorization.

401144131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138.

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 401144131 is about 20028.5828505164. The cubic root of 401144131 is about 737.5081334352.

Adding to 401144131 its reverse (131441104), we get a palindrome (532585235).

The spelling of 401144131 in words is "four hundred one million, one hundred forty-four thousand, one hundred thirty-one".

Divisors: 1 19 139 193 787 2641 3667 14953 26827 109393 151891 509713 2078467 2885929 21112849 401144131