Search a number
-
+
240202242202041 = 32753181397449599
BaseRepresentation
bin110110100111011001110001…
…010100100001100110111001
31011111111002222020221102100100
4312213121301110201212321
5222440433143000431131
62210511215310030013
7101411016324623460
oct6647316124414671
91144432866842310
10240202242202041
116a599220733159
1222b34978aa8309
13a404c88562082
144345bc9cc59d7
151cb8328ed67e6
hexda76715219b9

240202242202041 has 48 divisors (see below), whose sum is σ = 406238005555200. Its totient is φ = 133924616542080.

The previous prime is 240202242202003. The next prime is 240202242202079. The reversal of 240202242202041 is 140202242202042.

It is an interprime number because it is at equal distance from previous prime (240202242202003) and next prime (240202242202079).

It is not a de Polignac number, because 240202242202041 - 210 = 240202242201017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 240202242201996 and 240202242202014.

It is not an unprimeable number, because it can be changed into a prime (240202242212041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 198120441 + ... + 199329158.

It is an arithmetic number, because the mean of its divisors is an integer number (8463291782400).

Almost surely, 2240202242202041 is an apocalyptic number.

240202242202041 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

240202242202041 is a deficient number, since it is larger than the sum of its proper divisors (166035763353159).

240202242202041 is a wasteful number, since it uses less digits than its factorization.

240202242202041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397449846 (or 397449843 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 240202242202041 its reverse (140202242202042), we get a palindrome (380404484404083).

Subtracting from 240202242202041 its reverse (140202242202042), we obtain a palindrome (99999999999999).

The spelling of 240202242202041 in words is "two hundred forty trillion, two hundred two billion, two hundred forty-two million, two hundred two thousand, forty-one".

Divisors: 1 3 7 9 21 53 63 159 181 371 477 543 1113 1267 1629 3339 3801 9593 11403 28779 67151 86337 201453 604359 397449599 1192348797 2782147193 3577046391 8346441579 21064828747 25039324737 63194486241 71938377419 147453801229 189583458723 215815132257 442361403687 503568641933 647445396771 1327084211061 1510705925799 3812734003207 4532117777397 11438202009621 26689138022449 34314606028863 80067414067347 240202242202041