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14011044021 = 32132329241151
BaseRepresentation
bin11010000110001111…
…11001000010110101
31100011110020210010100
431003013321002311
5212143311402041
610234145144313
71004130623562
oct150307710265
940143223110
1014011044021
115a3a961827
12287032b099
1314239a79c0
1496cb4d869
155700b56b6
hex3431f90b5

14011044021 has 144 divisors (see below), whose sum is σ = 24288106752. Its totient is φ = 7717248000.

The previous prime is 14011043999. The next prime is 14011044107. The reversal of 14011044021 is 12044011041.

14011044021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14011044021 - 221 = 14008946869 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14011043985 and 14011044003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14011044121) 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 143 ways as a sum of consecutive naturals, for example, 92788296 + ... + 92788446.

It is an arithmetic number, because the mean of its divisors is an integer number (168667408).

Almost surely, 214011044021 is an apocalyptic number.

It is an amenable number.

14011044021 is a deficient number, since it is larger than the sum of its proper divisors (10277062731).

14011044021 is a wasteful number, since it uses less digits than its factorization.

14011044021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 14011044021 its reverse (12044011041), we get a palindrome (26055055062).

The spelling of 14011044021 in words is "fourteen billion, eleven million, forty-four thousand, twenty-one".

Divisors: 1 3 9 13 23 29 39 41 69 87 117 123 151 207 261 299 369 377 453 533 667 841 897 943 1131 1189 1359 1599 1963 2001 2523 2691 2829 3393 3473 3567 4379 4797 5889 6003 6191 7569 8487 8671 10419 10701 10933 12259 13137 15457 17667 18573 19343 26013 27347 31257 32799 34481 36777 39411 45149 46371 55719 56927 58029 78039 80483 82041 98397 100717 103443 110331 126991 135447 139113 142393 170781 174087 179539 241449 246123 251459 302151 310329 355511 380973 406341 427179 448253 512343 538617 724347 754377 793063 906453 1066533 1142919 1281537 1309321 1344759 1615851 1650883 1851109 2263131 2334007 2379189 2920793 3199599 3927963 4034277 4129397 4952649 5206631 5553327 7002021 7137567 8762379 10309819 11783889 12388191 14857947 15619893 16659981 21006063 26287137 30929457 37164573 37970309 46859679 53682161 67686203 92788371 113910927 119752513 161046483 203058609 341732781 359257539 483139449 609175827 1077772617 1556782669 4670348007 14011044021