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36144031 = 7112139307
BaseRepresentation
bin1000100111100…
…0001110011111
32112000022021211
42021320032133
533223102111
63330405251
7616135120
oct211701637
975008254
1036144031
1119447600
1210130827
137646701
144b2c047
15328e521
hex227839f

36144031 has 24 divisors (see below), whose sum is σ = 45879680. Its totient is φ = 27870480.

The previous prime is 36144011. The next prime is 36144107. The reversal of 36144031 is 13044163.

It is not a de Polignac number, because 36144031 - 25 = 36143999 is a prime.

It is a super-2 number, since 2×361440312 = 2612781953857922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 36143993 and 36144011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36144011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117580 + ... + 117886.

Almost surely, 236144031 is an apocalyptic number.

36144031 is a deficient number, since it is larger than the sum of its proper divisors (9735649).

36144031 is a wasteful number, since it uses less digits than its factorization.

36144031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 36144031 is about 6011.9906021217. The cubic root of 36144031 is about 330.6324906733.

Adding to 36144031 its reverse (13044163), we get a palindrome (49188194).

The spelling of 36144031 in words is "thirty-six million, one hundred forty-four thousand, thirty-one".

Divisors: 1 7 11 77 121 139 307 847 973 1529 2149 3377 10703 16819 23639 37147 42673 117733 260029 298711 469403 3285821 5163433 36144031