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71144031 = 3751783
BaseRepresentation
bin1000011110110…
…01001001011111
311221212111021010
410033121021133
5121203102111
611020510303
71522500000
oct417311137
9157774233
1071144031
1137182622
121b9ab393
131197c47a
14963d1a7
1563a4aa6
hex43d925f

71144031 has 48 divisors (see below), whose sum is σ = 118589184. Its totient is φ = 37801344.

The previous prime is 71144027. The next prime is 71144033. The reversal of 71144031 is 13044117.

It is not a de Polignac number, because 71144031 - 22 = 71144027 is a prime.

It is a super-2 number, since 2×711440312 = 10122946293857922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 71143989 and 71144007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71144033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 857116 + ... + 857198.

It is an arithmetic number, because the mean of its divisors is an integer number (2470608).

Almost surely, 271144031 is an apocalyptic number.

71144031 is a deficient number, since it is larger than the sum of its proper divisors (47445153).

71144031 is an frugal number, since it uses more digits than its factorization.

71144031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 71144031 is about 8434.6921105634. The cubic root of 71144031 is about 414.3615886907.

Adding to 71144031 its reverse (13044117), we get a palindrome (84188148).

The spelling of 71144031 in words is "seventy-one million, one hundred forty-four thousand, thirty-one".

Divisors: 1 3 7 17 21 49 51 83 119 147 249 343 357 581 833 1029 1411 1743 2401 2499 4067 4233 5831 7203 9877 12201 16807 17493 28469 29631 40817 50421 69139 85407 122451 199283 207417 285719 483973 597849 857157 1394981 1451919 3387811 4184943 10163433 23714677 71144031