Search a number
-
+
23234342321340 = 22325235612159981
BaseRepresentation
bin1010100100001101010101…
…01110000111110010111100
310001021011220021011011000200
411102012222232013302330
511021132413113240330
6121225413130523500
74615424443111563
oct522065256076274
9101234807134020
1023234342321340
1174486a1582267
122732b7a296590
13cc6cb20146b7
145a4796262bda
152a45a29bba60
hex1521aab87cbc

23234342321340 has 72 divisors (see below), whose sum is σ = 73541744404128. Its totient is φ = 5926440938880.

The previous prime is 23234342321303. The next prime is 23234342321369. The reversal of 23234342321340 is 4312324343232.

23234342321340 is a `hidden beast` number, since 2 + 3 + 2 + 3 + 434 + 2 + 3 + 213 + 4 + 0 = 666.

It is a super-2 number, since 2×232343423213402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 23234342321295 and 23234342321304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2806075851 + ... + 2806084130.

It is an arithmetic number, because the mean of its divisors is an integer number (1021413116724).

Almost surely, 223234342321340 is an apocalyptic number.

23234342321340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23234342321340 is an abundant number, since it is smaller than the sum of its proper divisors (50307402082788).

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

23234342321340 is a wasteful number, since it uses less digits than its factorization.

23234342321340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5612160019 (or 5612160014 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 23234342321340 its reverse (4312324343232), we get a palindrome (27546666664572).

The spelling of 23234342321340 in words is "twenty-three trillion, two hundred thirty-four billion, three hundred forty-two million, three hundred twenty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 4140 5612159981 11224319962 16836479943 22448639924 28060799905 33672959886 50509439829 56121599810 67345919772 84182399715 101018879658 112243199620 129079679563 168364799430 202037759316 252547199145 258159359126 336729598860 387239038689 505094398290 516318718252 645398397815 774478077378 1010188796580 1161717116067 1290796795630 1548956154756 1936195193445 2323434232134 2581593591260 3872390386890 4646868464268 5808585580335 7744780773780 11617171160670 23234342321340