Search a number
-
+
1024343120052 = 223372309586813
BaseRepresentation
bin11101110011111111001…
…10111001100010110100
310121221000020022001102000
432321333212321202310
5113240323314320202
62102324324015300
7134002114600350
oct16717746714264
93557006261360
101024343120052
1136546aa9432a
12146636531530
13757976ac6a5
143781547c460
151b9a393291c
hexee7f9b98b4

1024343120052 has 96 divisors (see below), whose sum is σ = 3036410361600. Its totient is φ = 292542212736.

The previous prime is 1024343119967. The next prime is 1024343120063. The reversal of 1024343120052 is 2500213434201.

1024343120052 is a `hidden beast` number, since 1 + 0 + 24 + 3 + 431 + 200 + 5 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1024343119998 and 1024343120025.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1452198 + ... + 2039010.

It is an arithmetic number, because the mean of its divisors is an integer number (31629274600).

Almost surely, 21024343120052 is an apocalyptic number.

1024343120052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1024343120052 is an abundant number, since it is smaller than the sum of its proper divisors (2012067241548).

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

1024343120052 is a wasteful number, since it uses less digits than its factorization.

1024343120052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589142 (or 589134 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 1024343120052 its reverse (2500213434201), we get a palindrome (3524556554253).

The spelling of 1024343120052 in words is "one trillion, twenty-four billion, three hundred forty-three million, one hundred twenty thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 2309 4618 6927 9236 13854 16163 20781 27708 32326 41562 48489 62343 64652 83124 96978 124686 145467 193956 249372 290934 436401 581868 586813 872802 1173626 1745604 1760439 2347252 3520878 4107691 5281317 7041756 8215382 10562634 12323073 15843951 16430764 21125268 24646146 31687902 36969219 49292292 63375804 73938438 110907657 147876876 221815314 443630628 1354951217 2709902434 4064853651 5419804868 8129707302 9484658519 12194560953 16259414604 18969317038 24389121906 28453975557 36583682859 37938634076 48778243812 56907951114 73167365718 85361926671 113815902228 146334731436 170723853342 256085780013 341447706684 512171560026 1024343120052