Search a number
-
+
14434010420031 = 32191131237960343
BaseRepresentation
bin1101001000001010111000…
…0100000101001100111111
31220002212201000002200011200
43102002232010011030333
53342441323131420111
650410520504350543
73016552143143106
oct322025604051477
956085630080150
1014434010420031
11466547a651a34
1217514a8a75453
13809176786887
1437c87754303d
151a06dd553256
hexd20ae10533f

14434010420031 has 48 divisors (see below), whose sum is σ = 22142820460800. Its totient is φ = 9034662986496.

The previous prime is 14434010420021. The next prime is 14434010420057. The reversal of 14434010420031 is 13002401043441.

14434010420031 is a `hidden beast` number, since 1 + 443 + 4 + 0 + 10 + 4 + 200 + 3 + 1 = 666.

It is not a de Polignac number, because 14434010420031 - 25 = 14434010419999 is a prime.

It is a super-2 number, since 2×144340104200312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14434010419977 and 14434010420004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14434010420021) 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, 239169246 + ... + 239229588.

It is an arithmetic number, because the mean of its divisors is an integer number (461308759600).

Almost surely, 214434010420031 is an apocalyptic number.

14434010420031 is a deficient number, since it is larger than the sum of its proper divisors (7708810040769).

14434010420031 is a wasteful number, since it uses less digits than its factorization.

14434010420031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72860 (or 72857 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 14434010420031 its reverse (13002401043441), we get a palindrome (27436411463472).

The spelling of 14434010420031 in words is "fourteen trillion, four hundred thirty-four billion, ten million, four hundred twenty thousand, thirty-one".

Divisors: 1 3 9 19 57 113 171 339 1017 2147 6441 12379 19323 37137 60343 111411 181029 235201 543087 705603 1146517 1398827 2116809 3439551 4196481 6818759 10318653 12589443 20456277 26577713 61368831 79733139 129556421 239199417 388669263 746985997 1166007789 2240957991 6722873973 14192733943 42578201829 84409417661 127734605487 253228252983 759684758949 1603778935559 4811336806677 14434010420031