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145040351345 = 5416611070369
BaseRepresentation
bin1000011100010100010…
…1000010000001110001
3111212101010000020221122
42013011011002001301
54334020312220340
6150344114032025
713323143434121
oct2070505020161
9455333006848
10145040351345
115656955176a
1224139878615
13108a5bab306
14703cbd4c81
153b8d498db5
hex21c5142071

145040351345 has 16 divisors (see below), whose sum is σ = 178563404880. Its totient is φ = 113030860800.

The previous prime is 145040351303. The next prime is 145040351363. The reversal of 145040351345 is 543153040541.

It can be written as a sum of positive squares in 8 ways, for example, as 22572001 + 145017779344 = 4751^2 + 380812^2 .

It is not a de Polignac number, because 145040351345 - 220 = 145039302769 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 399680 + ... + 670689.

It is an arithmetic number, because the mean of its divisors is an integer number (11160212805).

Almost surely, 2145040351345 is an apocalyptic number.

It is an amenable number.

145040351345 is a deficient number, since it is larger than the sum of its proper divisors (33523053535).

145040351345 is a wasteful number, since it uses less digits than its factorization.

145040351345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071076.

The product of its (nonzero) digits is 72000, while the sum is 35.

Adding to 145040351345 its reverse (543153040541), we get a palindrome (688193391886).

The spelling of 145040351345 in words is "one hundred forty-five billion, forty million, three hundred fifty-one thousand, three hundred forty-five".

Divisors: 1 5 41 205 661 3305 27101 135505 1070369 5351845 43885129 219425645 707513909 3537569545 29008070269 145040351345