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145462540033 = 29343310491093
BaseRepresentation
bin1000011101111000111…
…1100011011100000001
3111220110112102122221201
42013132033203130001
54340401402240113
6150454035021201
713336461121666
oct2073617433401
9456415378851
10145462540033
11567658a2338
122423713a801
13109424bb2c5
14707ccd3a6d
153bb5591cdd
hex21de3e3701

145462540033 has 16 divisors (see below), whose sum is σ = 146569525200. Its totient is φ = 144361211904.

The previous prime is 145462540001. The next prime is 145462540043. The reversal of 145462540033 is 330045264541.

145462540033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 49589945344 + 95872594689 = 222688^2 + 309633^2 .

It is a cyclic number.

It is not a de Polignac number, because 145462540033 - 25 = 145462540001 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 145462539974 and 145462540001.

It is not an unprimeable number, because it can be changed into a prime (145462540043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133085035 + ... + 133086127.

It is an arithmetic number, because the mean of its divisors is an integer number (9160595325).

Almost surely, 2145462540033 is an apocalyptic number.

It is an amenable number.

145462540033 is a deficient number, since it is larger than the sum of its proper divisors (1106985167).

145462540033 is a wasteful number, since it uses less digits than its factorization.

145462540033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2868.

The product of its (nonzero) digits is 172800, while the sum is 37.

The spelling of 145462540033 in words is "one hundred forty-five billion, four hundred sixty-two million, five hundred forty thousand, thirty-three".

Divisors: 1 293 433 1049 1093 126869 307357 320249 454217 473269 1146557 133085581 138667817 335941201 496459181 145462540033