Search a number
-
+
202454400141 = 32714657219251
BaseRepresentation
bin1011110010001100111…
…0001111110010001101
3201100120101200010112100
42330203032033302031
511304111311301031
6233001204225313
720425003002360
oct2744316176215
9640511603470
10202454400141
117895125a374
12332a169b239
1316125973c56
149b280620d7
1553edb93de6
hex2f2338fc8d

202454400141 has 24 divisors (see below), whose sum is σ = 334234764864. Its totient is φ = 115679808000.

The previous prime is 202454400139. The next prime is 202454400143. The reversal of 202454400141 is 141004454202.

202454400141 is a `hidden beast` number, since 2 + 0 + 245 + 4 + 400 + 14 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (202454400139) and next prime (202454400143).

It is not a de Polignac number, because 202454400141 - 21 = 202454400139 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202454400143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 813766 + ... + 1033016.

It is an arithmetic number, because the mean of its divisors is an integer number (13926448536).

Almost surely, 2202454400141 is an apocalyptic number.

202454400141 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

202454400141 is a deficient number, since it is larger than the sum of its proper divisors (131780364723).

202454400141 is a wasteful number, since it uses less digits than its factorization.

202454400141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233921 (or 233918 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 202454400141 its reverse (141004454202), we get a palindrome (343458854343).

The spelling of 202454400141 in words is "two hundred two billion, four hundred fifty-four million, four hundred thousand, one hundred forty-one".

Divisors: 1 3 7 9 21 63 14657 43971 102599 131913 219251 307797 657753 923391 1534757 1973259 4604271 13812813 3213561907 9640685721 22494933349 28922057163 67484800047 202454400141