Search a number
-
+
201413243044040 = 23517296195945653
BaseRepresentation
bin101101110010111100101100…
…110011100000000011001000
3222102010220210012202012020212
4231302330230303200003020
5202344423310204402130
61552211544432340252
760265424632063436
oct5562745463400310
9872126705665225
10201413243044040
11591a3970958635
121a70b29b6a4688
138850258712c91
1437a464ad83d56
151844349b5de95
hexb72f2cce00c8

201413243044040 has 32 divisors (see below), whose sum is σ = 479837431959480. Its totient is φ = 75826162086912.

The previous prime is 201413243044033. The next prime is 201413243044049. The reversal of 201413243044040 is 40440342314102.

It can be written as a sum of positive squares in 4 ways, for example, as 200756537024164 + 656706019876 = 14168858^2 + 810374^2 .

It is a junction number, because it is equal to n+sod(n) for n = 201413243043988 and 201413243044006.

It is not an unprimeable number, because it can be changed into a prime (201413243044049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148097972147 + ... + 148097973506.

Almost surely, 2201413243044040 is an apocalyptic number.

201413243044040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201413243044040 is an abundant number, since it is smaller than the sum of its proper divisors (278424188915440).

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

201413243044040 is a wasteful number, since it uses less digits than its factorization.

201413243044040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296195945681 (or 296195945677 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 201413243044040 its reverse (40440342314102), we get a palindrome (241853585358142).

The spelling of 201413243044040 in words is "two hundred one trillion, four hundred thirteen billion, two hundred forty-three million, forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 296195945653 592391891306 1184783782612 1480979728265 2369567565224 2961959456530 5035331076101 5923918913060 10070662152202 11847837826120 20141324304404 25176655380505 40282648608808 50353310761010 100706621522020 201413243044040