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4144024431 = 3217196912063
BaseRepresentation
bin1111011100000000…
…1100101101101111
3101200210201020211100
43313000030231233
531441332240211
61523112454143
7204456424611
oct36700145557
911623636740
104144024431
111837214988
129779aa353
1351070a781
142b4524db1
15193c24156
hexf700cb6f

4144024431 has 48 divisors (see below), whose sum is σ = 6684387840. Its totient is φ = 2458563840.

The previous prime is 4144024403. The next prime is 4144024453. The reversal of 4144024431 is 1344204414.

4144024431 is a `hidden beast` number, since 414 + 4 + 0 + 244 + 3 + 1 = 666.

It is not a de Polignac number, because 4144024431 - 226 = 4076915567 is a prime.

It is a super-2 number, since 2×41440244312 = 34345876969449747522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4144024395 and 4144024404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144024331) 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, 2007706 + ... + 2009768.

It is an arithmetic number, because the mean of its divisors is an integer number (139258080).

Almost surely, 24144024431 is an apocalyptic number.

4144024431 is a deficient number, since it is larger than the sum of its proper divisors (2540363409).

4144024431 is a wasteful number, since it uses less digits than its factorization.

4144024431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2796 (or 2793 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 4144024431 is about 64374.0975160041. The cubic root of 4144024431 is about 1606.2289001533.

Adding to 4144024431 its reverse (1344204414), we get a palindrome (5488228845).

The spelling of 4144024431 in words is "four billion, one hundred forty-four million, twenty-four thousand, four hundred thirty-one".

Divisors: 1 3 9 17 19 51 57 153 171 323 691 969 2063 2073 2907 6189 6219 11747 13129 18567 35071 35241 39197 39387 105213 105723 117591 118161 223193 315639 352773 666349 669579 1425533 1999047 2008737 4276599 5997141 12829797 24234061 27085127 72702183 81255381 218106549 243766143 460447159 1381341477 4144024431