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12301140143034 = 232174710335923131
BaseRepresentation
bin1011001100000001010100…
…0101101010101110111010
31121112222101121101101202100
42303000111011222232322
53103020213334034114
642055022112244230
72406504502003131
oct263002505525672
947488347341670
1012301140143034
113a1297aa14476
121468062b40676
136b2cb97b5b32
1430754230c918
15164eaa744909
hexb301516abba

12301140143034 has 192 divisors, whose sum is σ = 29182827847680. Its totient is φ = 3729820193280.

The previous prime is 12301140143009. The next prime is 12301140143087. The reversal of 12301140143034 is 43034104110321.

12301140143034 is a `hidden beast` number, since 1 + 2 + 301 + 1 + 40 + 14 + 303 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12301140142989 and 12301140143007.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 531791649 + ... + 531814779.

It is an arithmetic number, because the mean of its divisors is an integer number (151993895040).

Almost surely, 212301140143034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12301140143034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14591413923840).

12301140143034 is an abundant number, since it is smaller than the sum of its proper divisors (16881687704646).

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

12301140143034 is a wasteful number, since it uses less digits than its factorization.

12301140143034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23665 (or 23662 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 12301140143034 its reverse (43034104110321), we get a palindrome (55335244253355).

The spelling of 12301140143034 in words is "twelve trillion, three hundred one billion, one hundred forty million, one hundred forty-three thousand, thirty-four".