Search a number
-
+
352053135441 = 32715907351301
BaseRepresentation
bin1010001111110000000…
…00001000100001010001
31020122201012002021201100
411013320000020201101
521232001100313231
6425421520255013
734302130163610
oct5077000104121
91218635067640
10352053135441
111263398a93a7
1258291a71469
132727705b277
141307a3dd877
1592574101e6
hex51f8008851

352053135441 has 24 divisors (see below), whose sum is σ = 581205270464. Its totient is φ = 201160000800.

The previous prime is 352053135431. The next prime is 352053135451. The reversal of 352053135441 is 144531350253.

352053135441 is a `hidden beast` number, since 3 + 5 + 205 + 3 + 1 + 3 + 5 + 441 = 666.

It is an interprime number because it is at equal distance from previous prime (352053135431) and next prime (352053135451).

It is not a de Polignac number, because 352053135441 - 219 = 352052611153 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 352053135396 and 352053135405.

It is not an unprimeable number, because it can be changed into a prime (352053135431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 826491 + ... + 1177791.

Almost surely, 2352053135441 is an apocalyptic number.

It is an amenable number.

352053135441 is a deficient number, since it is larger than the sum of its proper divisors (229152135023).

352053135441 is a wasteful number, since it uses less digits than its factorization.

352053135441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367221 (or 367218 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 352053135441 its reverse (144531350253), we get a palindrome (496584485694).

The spelling of 352053135441 in words is "three hundred fifty-two billion, fifty-three million, one hundred thirty-five thousand, four hundred forty-one".

Divisors: 1 3 7 9 21 63 15907 47721 111349 143163 334047 351301 1002141 1053903 2459107 3161709 7377321 22131963 5588145007 16764435021 39117015049 50293305063 117351045147 352053135441