Search a number
-
+
354520413441 = 3382715877129
BaseRepresentation
bin1010010100010110001…
…00000011010100000001
31020220002010200222212000
411022023010003110001
521302024211212231
6430510414454213
734420226536125
oct5121304032401
91226063628760
10354520413441
11127395592927
1258860204369
132757b27178c
1413231d73585
15934dd256e6
hex528b103501

354520413441 has 16 divisors (see below), whose sum is σ = 525850545600. Its totient is φ = 236061139104.

The previous prime is 354520413427. The next prime is 354520413479. The reversal of 354520413441 is 144314025453.

354520413441 is a `hidden beast` number, since 3 + 5 + 4 + 5 + 204 + 1 + 3 + 441 = 666.

It is not a de Polignac number, because 354520413441 - 222 = 354516219137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 354520413396 and 354520413405.

It is not an unprimeable number, because it can be changed into a prime (354520413421) 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 15 ways as a sum of consecutive naturals, for example, 7916236 + ... + 7960893.

It is an arithmetic number, because the mean of its divisors is an integer number (32865659100).

Almost surely, 2354520413441 is an apocalyptic number.

It is an amenable number.

354520413441 is a deficient number, since it is larger than the sum of its proper divisors (171330132159).

354520413441 is a wasteful number, since it uses less digits than its factorization.

354520413441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15877965 (or 15877959 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 354520413441 its reverse (144314025453), we get a palindrome (498834438894).

The spelling of 354520413441 in words is "three hundred fifty-four billion, five hundred twenty million, four hundred thirteen thousand, four hundred forty-one".

Divisors: 1 3 9 27 827 2481 7443 22329 15877129 47631387 142894161 428682483 13130385683 39391157049 118173471147 354520413441