Search a number
-
+
102441014224 = 24431131317671
BaseRepresentation
bin101111101100111110…
…1011101001111010000
3100210102021211201020221
41133121331131033100
53134244344423344
6115021042242424
710254404153023
oct1373175351720
9323367751227
10102441014224
113a49931122a
1217a2b356414
139877458763
144d5b3191ba
1529e86b3184
hex17d9f5d3d0

102441014224 has 40 divisors (see below), whose sum is σ = 204892725312. Its totient is φ = 49586557440.

The previous prime is 102441014191. The next prime is 102441014279. The reversal of 102441014224 is 422410144201.

It is a happy number.

102441014224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1024410142242 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 581092 + ... + 736579.

Almost surely, 2102441014224 is an apocalyptic number.

It is an amenable number.

102441014224 is an abundant number, since it is smaller than the sum of its proper divisors (102451711088).

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

102441014224 is a wasteful number, since it uses less digits than its factorization.

102441014224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317835 (or 1317829 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 102441014224 its reverse (422410144201), we get a palindrome (524851158425).

The spelling of 102441014224 in words is "one hundred two billion, four hundred forty-one million, fourteen thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 43 86 113 172 226 344 452 688 904 1808 4859 9718 19436 38872 77744 1317671 2635342 5270684 10541368 21082736 56659853 113319706 148896823 226639412 297793646 453278824 595587292 906557648 1191174584 2382349168 6402563389 12805126778 25610253556 51220507112 102441014224