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145002252241 = 7112473642449
BaseRepresentation
bin1000011100001011001…
…1101100011111010001
3111212021110022121210201
42013002303230133101
54333431034032431
6150340233255201
713322201544040
oct2070263543721
9455243277721
10145002252241
1156549a9a300
1224128b64501
131089b02ba72
147037b18557
153b89e70461
hex21c2cec7d1

145002252241 has 24 divisors (see below), whose sum is σ = 186027206400. Its totient is φ = 110584721280.

The previous prime is 145002252223. The next prime is 145002252251. The reversal of 145002252241 is 142252200541.

It is a happy number.

145002252241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 145002252241 - 29 = 145002251729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (145002252251) 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 23 ways as a sum of consecutive naturals, for example, 1781416 + ... + 1861033.

It is an arithmetic number, because the mean of its divisors is an integer number (7751133600).

Almost surely, 2145002252241 is an apocalyptic number.

145002252241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

145002252241 is a deficient number, since it is larger than the sum of its proper divisors (41024954159).

145002252241 is a wasteful number, since it uses less digits than its factorization.

145002252241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3642525 (or 3642514 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

Adding to 145002252241 its reverse (142252200541), we get a palindrome (287254452782).

The spelling of 145002252241 in words is "one hundred forty-five billion, two million, two hundred fifty-two thousand, two hundred forty-one".

Divisors: 1 7 11 47 77 121 329 517 847 3619 5687 39809 3642449 25497143 40066939 171195103 280468573 440736329 1198365721 1883146133 3085154303 13182022931 20714607463 145002252241