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145792362141 = 32173557168109
BaseRepresentation
bin1000011111000111100…
…1101110011010011101
3111221022112001100211100
42013301321232122131
54342040321042031
6150550500143313
713350604426326
oct2076171563235
9457275040740
10145792362141
1156914a95598
1224309697b39
131099592b10a
1470b0a2b44d
153bd44e1de6
hex21f1e6e69d

145792362141 has 24 divisors (see below), whose sum is σ = 212187769560. Its totient is φ = 96459025536.

The previous prime is 145792362137. The next prime is 145792362241. The reversal of 145792362141 is 141263297541.

145792362141 is a `hidden beast` number, since 1 + 4 + 579 + 2 + 3 + 62 + 14 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 71497412100 + 74294950041 = 267390^2 + 272571^2 .

It is not a de Polignac number, because 145792362141 - 22 = 145792362137 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145792362101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 783195 + ... + 951303.

It is an arithmetic number, because the mean of its divisors is an integer number (8841157065).

Almost surely, 2145792362141 is an apocalyptic number.

It is an amenable number.

145792362141 is a deficient number, since it is larger than the sum of its proper divisors (66395407419).

145792362141 is a wasteful number, since it uses less digits than its factorization.

145792362141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168845 (or 168842 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The spelling of 145792362141 in words is "one hundred forty-five billion, seven hundred ninety-two million, three hundred sixty-two thousand, one hundred forty-one".

Divisors: 1 3 9 173 519 557 1557 1671 5013 96361 168109 289083 504327 867249 1512981 29082857 87248571 93636713 261745713 280910139 842730417 16199151349 48597454047 145792362141