Search a number
-
+
145742525212041 = 3237437665240877
BaseRepresentation
bin100001001000110101010011…
…011100011010010110001001
3201010000211221011112122221200
4201020311103130122112021
5123100321142423241131
61233545105231454413
742461356432151622
oct4110652334322611
9633024834478850
10145742525212041
114249006aa8963a
1214419a64987409
1363425cc210154
1427dbd93a7aa49
1511cb16e3082e6
hex848d5371a589

145742525212041 has 12 divisors (see below), whose sum is σ = 216206628993732. Its totient is φ = 94535692029216.

The previous prime is 145742525212027. The next prime is 145742525212051. The reversal of 145742525212041 is 140212525247541.

145742525212041 is a `hidden beast` number, since 1 + 4 + 5 + 7 + 42 + 525 + 21 + 20 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 97134034035600 + 48608491176441 = 9855660^2 + 6971979^2 .

It is not a de Polignac number, because 145742525212041 - 29 = 145742525211529 is a prime.

It is a super-2 number, since 2×1457425252120412 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (145742525212051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 218832620106 + ... + 218832620771.

It is an arithmetic number, because the mean of its divisors is an integer number (18017219082811).

Almost surely, 2145742525212041 is an apocalyptic number.

It is an amenable number.

145742525212041 is a deficient number, since it is larger than the sum of its proper divisors (70464103781691).

145742525212041 is a wasteful number, since it uses less digits than its factorization.

145742525212041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437665240920 (or 437665240917 counting only the distinct ones).

The product of its (nonzero) digits is 896000, while the sum is 45.

The spelling of 145742525212041 in words is "one hundred forty-five trillion, seven hundred forty-two billion, five hundred twenty-five million, two hundred twelve thousand, forty-one".

Divisors: 1 3 9 37 111 333 437665240877 1312995722631 3938987167893 16193613912449 48580841737347 145742525212041