Search a number
-
+
145221400505241 = 3419216143665379
BaseRepresentation
bin100001000001001111111101…
…111111011010101110011001
3201001012000211002110122210000
4201001033331333122232121
5123013301412012131431
61232505442420443213
742405620453220624
oct4101177577325631
9631160732418700
10145221400505241
11422aa060742275
1214354a69249509
13630541c696188
1427c0a79040dbb
1511bc81dd429e6
hex8413fdfdab99

145221400505241 has 40 divisors (see below), whose sum is σ = 228459014775200. Its totient is φ = 91676334418560.

The previous prime is 145221400505219. The next prime is 145221400505261. The reversal of 145221400505241 is 142505004122541.

145221400505241 is a `hidden beast` number, since 1 + 4 + 5 + 2 + 2 + 1 + 400 + 5 + 0 + 5 + 241 = 666.

It is not a de Polignac number, because 145221400505241 - 27 = 145221400505113 is a prime.

It is a super-2 number, since 2×1452214005052412 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 145221400505196 and 145221400505205.

It is not an unprimeable number, because it can be changed into a prime (145221400505261) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18506911 + ... + 25158468.

It is an arithmetic number, because the mean of its divisors is an integer number (5711475369380).

Almost surely, 2145221400505241 is an apocalyptic number.

It is an amenable number.

145221400505241 is a deficient number, since it is larger than the sum of its proper divisors (83237614269959).

145221400505241 is a wasteful number, since it uses less digits than its factorization.

145221400505241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43667571 (or 43667562 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

Adding to 145221400505241 its reverse (142505004122541), we get a palindrome (287726404627782).

The spelling of 145221400505241 in words is "one hundred forty-five trillion, two hundred twenty-one billion, four hundred million, five hundred five thousand, two hundred forty-one".

Divisors: 1 3 9 19 27 57 81 171 513 1539 2161 6483 19449 41059 58347 123177 175041 369531 1108593 3325779 43665379 130996137 392988411 829642201 1178965233 2488926603 3536895699 7466779809 22400339427 67201018281 94360884019 283082652057 849247956171 1792856796361 2547743868513 5378570389083 7643231605539 16135711167249 48407133501747 145221400505241