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14410041032424 = 2333121049959509
BaseRepresentation
bin1101000110110001100101…
…1000000111111011101000
31220000120211112110121210010
43101230121120013323220
53342043231001014144
650351514221251520
73015043151541432
oct321543130077350
956016745417703
1014410041032424
11465629a548294
121748919703ba0
13806b2691819b
1437b641dd5652
1519ec890ac5b9
hexd1b19607ee8

14410041032424 has 96 divisors (see below), whose sum is σ = 37228860900000. Its totient is φ = 4647879480960.

The previous prime is 14410041032423. The next prime is 14410041032437. The reversal of 14410041032424 is 42423014001441.

It is a happy number.

14410041032424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×144100410324242 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14410041032391 and 14410041032400.

It is not an unprimeable number, because it can be changed into a prime (14410041032423) 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, 242119182 + ... + 242178690.

It is an arithmetic number, because the mean of its divisors is an integer number (387800634375).

Almost surely, 214410041032424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14410041032424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18614430450000).

14410041032424 is an abundant number, since it is smaller than the sum of its proper divisors (22818819867576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14410041032424 is a wasteful number, since it uses less digits than its factorization.

14410041032424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70079 (or 70044 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 14410041032424 its reverse (42423014001441), we get a palindrome (56833055033865).

The spelling of 14410041032424 in words is "fourteen trillion, four hundred ten billion, forty-one million, thirty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 961 1922 2883 3844 5766 7688 10499 11532 20998 23064 31497 41996 59509 62994 83992 119018 125988 178527 238036 251976 325469 357054 476072 650938 714108 976407 1301876 1428216 1844779 1952814 2603752 3689558 3905628 5534337 7379116 7811256 10089539 11068674 14758232 20179078 22137348 30268617 40358156 44274696 57188149 60537234 80716312 114376298 121074468 171564447 228752596 242148936 343128894 457505192 624784991 686257788 1249569982 1372515576 1874354973 2499139964 3748709946 4998279928 7497419892 14994839784 19368334721 38736669442 58105004163 77473338884 116210008326 154946677768 232420016652 464840033304 600418376351 1200836752702 1801255129053 2401673505404 3602510258106 4803347010808 7205020516212 14410041032424