Search a number
-
+
12301412243004 = 22331015111220763
BaseRepresentation
bin1011001100000010010101…
…0011101001011000111100
31121120000002120101111202000
42303000211103221120330
53103021243013234004
642055105112302300
72406514314551403
oct263004523513074
947500076344660
1012301412243004
113a12aaa572185
12146811a0a1990
136b3030c95731
1430756a4dc63a
15164ec4591c39
hexb30254e963c

12301412243004 has 48 divisors (see below), whose sum is σ = 31895694915840. Its totient is φ = 4100066434800.

The previous prime is 12301412242969. The next prime is 12301412243009. The reversal of 12301412243004 is 40034221410321.

12301412243004 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 1 + 412 + 243 + 0 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12301412243009) 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, 4514074 + ... + 6706689.

It is an arithmetic number, because the mean of its divisors is an integer number (664493644080).

Almost surely, 212301412243004 is an apocalyptic number.

It is an amenable number.

12301412243004 is an abundant number, since it is smaller than the sum of its proper divisors (19594282672836).

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

12301412243004 is a wasteful number, since it uses less digits than its factorization.

12301412243004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11230927 (or 11230919 counting only the distinct ones).

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

Adding to 12301412243004 its reverse (40034221410321), we get a palindrome (52335633653325).

The spelling of 12301412243004 in words is "twelve trillion, three hundred one billion, four hundred twelve million, two hundred forty-three thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 10151 20302 30453 40604 60906 91359 121812 182718 274077 365436 548154 1096308 11220763 22441526 33662289 44883052 67324578 100986867 134649156 201973734 302960601 403947468 605921202 1211842404 113901965213 227803930426 341705895639 455607860852 683411791278 1025117686917 1366823582556 2050235373834 3075353060751 4100470747668 6150706121502 12301412243004