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145532320121241 = 32461295311878253
BaseRepresentation
bin100001000101110001100010…
…001111101000000110011001
3201002021202100121120122122100
4201011301202033220012121
5123033400142422334431
61233304342551114013
742440235363313404
oct4105614217500631
9632252317518570
10145532320121241
1142409a017636a9
12143a517b672909
13632883c886311
1427d1b324cad3b
1511c5969eb34e6
hex845c623e8199

145532320121241 has 24 divisors (see below), whose sum is σ = 210740704069896. Its totient is φ = 96778295735040.

The previous prime is 145532320121239. The next prime is 145532320121257. The reversal of 145532320121241 is 142121023235541.

145532320121241 is a `hidden beast` number, since 1 + 4 + 5 + 5 + 323 + 201 + 2 + 124 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17126685633600 + 128405634487641 = 4138440^2 + 11331621^2 .

It is not a de Polignac number, because 145532320121241 - 21 = 145532320121239 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 145532320121196 and 145532320121205.

It is not an unprimeable number, because it can be changed into a prime (145532320121641) 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, 6312871 + ... + 18191123.

It is an arithmetic number, because the mean of its divisors is an integer number (8780862669579).

Almost surely, 2145532320121241 is an apocalyptic number.

It is an amenable number.

145532320121241 is a deficient number, since it is larger than the sum of its proper divisors (65208383948655).

145532320121241 is a wasteful number, since it uses less digits than its factorization.

145532320121241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11881673 (or 11881670 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 145532320121241 its reverse (142121023235541), we get a palindrome (287653343356782).

The spelling of 145532320121241 in words is "one hundred forty-five trillion, five hundred thirty-two billion, three hundred twenty million, one hundred twenty-one thousand, two hundred forty-one".

Divisors: 1 3 9 461 1383 2953 4149 8859 26577 1361333 4083999 11878253 12251997 35634759 106904277 5475874633 16427623899 35076481109 49282871697 105229443327 315688329981 16170257791249 48510773373747 145532320121241