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145817823321 = 36141432
BaseRepresentation
bin1000011111001101101…
…0110110100001011001
3111221101021221221000000
42013303122312201121
54342113330321241
6150553210003213
713351334022222
oct2076332664131
9457337857000
10145817823321
11569283a5995
1224316116509
131099aca41c1
1470b4178249
153bd6870eb6
hex21f36b6859

145817823321 has 21 divisors (see below), whose sum is σ = 218642182149. Its totient is φ = 97205008716.

The previous prime is 145817823293. The next prime is 145817823331. The reversal of 145817823321 is 123328718541.

The square root of 145817823321 is 381861.

It is a perfect power (a square), and thus also a powerful number.

145817823321 is a `hidden beast` number, since 1 + 458 + 178 + 2 + 3 + 3 + 21 = 666.

It is a de Polignac number, because none of the positive numbers 2k-145817823321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (145817823331) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 10303176 + ... + 10317318.

Almost surely, 2145817823321 is an apocalyptic number.

145817823321 is the 381861-st square number.

145817823321 is the 190931-st centered octagonal number.

It is an amenable number.

145817823321 is a deficient number, since it is larger than the sum of its proper divisors (72824358828).

145817823321 is an frugal number, since it uses more digits than its factorization.

145817823321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28304 (or 14146 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The spelling of 145817823321 in words is "one hundred forty-five billion, eight hundred seventeen million, eight hundred twenty-three thousand, three hundred twenty-one".

Divisors: 1 3 9 27 81 243 729 14143 42429 127287 381861 1145583 3436749 10310247 200024449 600073347 1800220041 5400660123 16201980369 48605941107 145817823321