Search a number
-
+
341541400331025 = 32524493380761201
BaseRepresentation
bin100110110101000010100110…
…1110101111100001100010001
31122210022001001102112110102200
41031222011031311330030101
5324231303241441043100
63210221541523033413
7131640360202264656
oct11552051565741421
91583261042473380
10341541400331025
1199909992580394
1232381017b0b869
13118762a630176b
14604a998b05c2d
152974420319e00
hex136a14dd7c311

341541400331025 has 36 divisors (see below), whose sum is σ = 613101043982700. Its totient is φ = 181749722112000.

The previous prime is 341541400331009. The next prime is 341541400331171. The reversal of 341541400331025 is 520133004145143.

341541400331025 is a `hidden beast` number, since 3 + 4 + 1 + 541 + 4 + 0 + 0 + 3 + 3 + 102 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 26609100876801 + 314932299454224 = 5158401^2 + 17746332^2 .

It is not a de Polignac number, because 341541400331025 - 24 = 341541400331009 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1690279576 + ... + 1690481625.

It is an arithmetic number, because the mean of its divisors is an integer number (17030584555075).

Almost surely, 2341541400331025 is an apocalyptic number.

It is an amenable number.

341541400331025 is a deficient number, since it is larger than the sum of its proper divisors (271559643651675).

341541400331025 is a wasteful number, since it uses less digits than its factorization.

341541400331025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3380761666 (or 3380761658 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 341541400331025 its reverse (520133004145143), we get a palindrome (861674404476168).

The spelling of 341541400331025 in words is "three hundred forty-one trillion, five hundred forty-one billion, four hundred million, three hundred thirty-one thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 449 1347 2245 4041 6735 11225 20205 33675 101025 3380761201 10142283603 16903806005 30426850809 50711418015 84519030025 152134254045 253557090075 760671270225 1517961779249 4553885337747 7589808896245 13661656013241 22769426688735 37949044481225 68308280066205 113847133443675 341541400331025