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145040050225 = 5272376131481
BaseRepresentation
bin1000011100010100001…
…1111000100000110001
3111212101002102221220001
42013011003320200301
54334020223101400
6150344103350001
713323141041200
oct2070503704061
9455332387801
10145040050225
1156569366504
1224139752301
13108a5b04235
14703cb57237
153b8d439a6a
hex21c50f8831

145040050225 has 36 divisors (see below), whose sum is σ = 209275146828. Its totient is φ = 99426432000.

The previous prime is 145040050193. The next prime is 145040050249. The reversal of 145040050225 is 522050040541.

It can be written as a sum of positive squares in 6 ways, for example, as 26081281009 + 118958769216 = 161497^2 + 344904^2 .

It is not a de Polignac number, because 145040050225 - 25 = 145040050193 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 145040050193 and 145040050202.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4591485 + ... + 4622965.

It is an arithmetic number, because the mean of its divisors is an integer number (5813198523).

Almost surely, 2145040050225 is an apocalyptic number.

It is an amenable number.

145040050225 is a deficient number, since it is larger than the sum of its proper divisors (64235096603).

145040050225 is a wasteful number, since it uses less digits than its factorization.

145040050225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35266 (or 35254 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 28.

Adding to 145040050225 its reverse (522050040541), we get a palindrome (667090090766).

It can be divided in two parts, 1450400 and 50225, that added together give a 4-th power (1500625 = 354).

The spelling of 145040050225 in words is "one hundred forty-five billion, forty million, fifty thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 245 1225 3761 18805 26327 31481 94025 131635 157405 184289 220367 658175 787025 921445 1101835 1542569 4607225 5509175 7712845 38564225 118400041 592000205 828800287 2960001025 4144001435 5801602009 20720007175 29008010045 145040050225