Search a number
-
+
12313414421104 = 2419397354128813
BaseRepresentation
bin1011001100101111000010…
…1100010100101001110000
31121121011002000121022212211
42303023300230110221300
53103220333042433404
642104412100501504
72410420613436316
oct263136054245160
947534060538784
1012313414421104
113a180a9481235
12146a5096aa894
136b41c4710774
14307d885260b6
151654780e2b04
hexb32f0b14a70

12313414421104 has 80 divisors (see below), whose sum is σ = 25184125230880. Its totient is φ = 5816133227520.

The previous prime is 12313414421083. The next prime is 12313414421107. The reversal of 12313414421104 is 40112441431321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12313414421107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 427341802 + ... + 427370614.

It is an arithmetic number, because the mean of its divisors is an integer number (314801565386).

Almost surely, 212313414421104 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 12313414421104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12592062615440).

12313414421104 is an abundant number, since it is smaller than the sum of its proper divisors (12870710809776).

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

12313414421104 is a wasteful number, since it uses less digits than its factorization.

12313414421104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32778 (or 32772 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

Adding to 12313414421104 its reverse (40112441431321), we get a palindrome (52425855852425).

The spelling of 12313414421104 in words is "twelve trillion, three hundred thirteen billion, four hundred fourteen million, four hundred twenty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 19 38 76 152 304 397 794 1588 3176 3541 6352 7082 7543 14164 15086 28328 28813 30172 56656 57626 60344 67279 115252 120688 134558 230504 269116 461008 538232 547447 1076464 1094894 1405777 2189788 2811554 4379576 5623108 8759152 11246216 11438761 22492432 22877522 26709763 45755044 53419526 91510088 102026833 106839052 183020176 204053666 213678104 217336459 408107332 427356208 434672918 816214664 869345836 1632429328 1738691672 1938509827 3477383344 3877019654 7754039308 15508078616 31016157232 40504652701 81009305402 162018610804 324037221608 648074443216 769588401319 1539176802638 3078353605276 6156707210552 12313414421104