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12311334014144 = 2611158231105207
BaseRepresentation
bin1011001100100111010010…
…1100001100110011000000
31121120221201000221201001012
42303021310230030303000
53103202103001423034
642103425422300052
72410315222325024
oct263116454146300
947527630851035
1012311334014144
113a17231105740
12146a028a27628
136b3c526c2a29
14307c2c0da384
151653a564acce
hexb3274b0ccc0

12311334014144 has 56 divisors (see below), whose sum is σ = 26652948561408. Its totient is φ = 5595702186240.

The previous prime is 12311334014123. The next prime is 12311334014237. The reversal of 12311334014144 is 44141043311321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 12311334014144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10586789 + ... + 11691995.

Almost surely, 212311334014144 is an apocalyptic number.

It is an amenable number.

12311334014144 is an abundant number, since it is smaller than the sum of its proper divisors (14341614547264).

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

12311334014144 is a wasteful number, since it uses less digits than its factorization.

12311334014144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121053 (or 1121043 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 12311334014144 its reverse (44141043311321), we get a palindrome (56452377325465).

The spelling of 12311334014144 in words is "twelve trillion, three hundred eleven billion, three hundred thirty-four million, fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 15823 31646 63292 126584 174053 253168 348106 506336 696212 1012672 1105207 1392424 2210414 2784848 4420828 5569696 8841656 11139392 12157277 17683312 24314554 35366624 48629108 70733248 97258216 194516432 389032864 778065728 17487690361 34975380722 69950761444 139901522888 192364593971 279803045776 384729187942 559606091552 769458375884 1119212183104 1538916751768 3077833503536 6155667007072 12311334014144