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1332140000193 = 323737910555199
BaseRepresentation
bin10011011000101001101…
…110110100001111000001
311201100111010102121222200
4103120221232310033001
5133311210320001233
62455550543223413
7165146446113012
oct23305156641701
94640433377880
101332140000193
11473a59335022
12196216ba7b69
139880a944032
1448693cd3009
15249ba868313
hex13629bb43c1

1332140000193 has 24 divisors (see below), whose sum is σ = 1981422144000. Its totient is φ = 861810806304.

The previous prime is 1332140000183. The next prime is 1332140000221. The reversal of 1332140000193 is 3910000412331.

1332140000193 is a `hidden beast` number, since 1 + 332 + 140 + 0 + 0 + 0 + 193 = 666.

It is not a de Polignac number, because 1332140000193 - 217 = 1332139869121 is a prime.

It is a super-2 number, since 2×13321400001932 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1332140000183) 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, 5151393 + ... + 5403806.

It is an arithmetic number, because the mean of its divisors is an integer number (82559256000).

Almost surely, 21332140000193 is an apocalyptic number.

It is an amenable number.

1332140000193 is a deficient number, since it is larger than the sum of its proper divisors (649282143807).

1332140000193 is a wasteful number, since it uses less digits than its factorization.

1332140000193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10555621 (or 10555618 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 1332140000193 in words is "one trillion, three hundred thirty-two billion, one hundred forty million, one hundred ninety-three", and thus it is an aban number.

Divisors: 1 3 9 37 111 333 379 1137 3411 14023 42069 126207 10555199 31665597 94996791 390542363 1171627089 3514881267 4000420421 12001261263 36003783789 148015555577 444046666731 1332140000193