Search a number
-
+
2201142330040 = 235197353791311
BaseRepresentation
bin100000000001111110010…
…011101000001010111000
321210102112101121220200111
4200001332103220022320
5242030414414030130
64403105115114104
7315012234046243
oct40017623501270
97712471556614
102201142330040
117795545094a5
122b671a142934
1312c74a435484
147877056c25a
153c3cb89a02a
hex2007e4e82b8

2201142330040 has 64 divisors (see below), whose sum is σ = 4991817663360. Its totient is φ = 873504952320.

The previous prime is 2201142330029. The next prime is 2201142330043. The reversal of 2201142330040 is 400332411022.

It is a junction number, because it is equal to n+sod(n) for n = 2201142329993 and 2201142330020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201142330043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2385985 + ... + 3177295.

It is an arithmetic number, because the mean of its divisors is an integer number (77997150990).

Almost surely, 22201142330040 is an apocalyptic number.

2201142330040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2201142330040 is an abundant number, since it is smaller than the sum of its proper divisors (2790675333320).

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

2201142330040 is a wasteful number, since it uses less digits than its factorization.

2201142330040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791872 (or 791868 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 2201142330040 its reverse (400332411022), we get a palindrome (2601474741062).

The spelling of 2201142330040 in words is "two trillion, two hundred one billion, one hundred forty-two million, three hundred thirty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 197 353 394 706 788 985 1412 1576 1765 1970 2824 3530 3940 7060 7880 14120 69541 139082 278164 347705 556328 695410 791311 1390820 1582622 2781640 3165244 3956555 6330488 7913110 15826220 31652440 155888267 279332783 311776534 558665566 623553068 779441335 1117331132 1247106136 1396663915 1558882670 2234662264 2793327830 3117765340 5586655660 6235530680 11173311320 55028558251 110057116502 220114233004 275142791255 440228466008 550285582510 1100571165020 2201142330040