Search a number
-
+
406201395141 = 32314135510219
BaseRepresentation
bin1011110100100110111…
…11010110011111000101
31102211110212120212212100
411322103133112133011
523123400024121031
6510334545342313
741230022614143
oct5722337263705
91384425525770
10406201395141
111472a6109353
1266884037999
132c3c635c419
1415935a38593
15a876063de6
hex5e937d67c5

406201395141 has 24 divisors (see below), whose sum is σ = 620434563840. Its totient is φ = 255673569600.

The previous prime is 406201395107. The next prime is 406201395163. The reversal of 406201395141 is 141593102604.

It is a happy number.

406201395141 is a `hidden beast` number, since 4 + 0 + 6 + 2 + 0 + 139 + 514 + 1 = 666.

It is not a de Polignac number, because 406201395141 - 26 = 406201395077 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 406201395096 and 406201395105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406201395191) 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, 17743671 + ... + 17766548.

It is an arithmetic number, because the mean of its divisors is an integer number (25851440160).

Almost surely, 2406201395141 is an apocalyptic number.

406201395141 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

406201395141 is a deficient number, since it is larger than the sum of its proper divisors (214233168699).

406201395141 is a wasteful number, since it uses less digits than its factorization.

406201395141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35510297 (or 35510294 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 406201395141 its reverse (141593102604), we get a palindrome (547794497745).

The spelling of 406201395141 in words is "four hundred six billion, two hundred one million, three hundred ninety-five thousand, one hundred forty-one".

Divisors: 1 3 9 31 41 93 123 279 369 1271 3813 11439 35510219 106530657 319591971 1100816789 1455918979 3302450367 4367756937 9907351101 13103270811 45133488349 135400465047 406201395141