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132660040616340 = 2235194179151237929
BaseRepresentation
bin11110001010011101010010…
…100110001100100110010100
3122101201011202022201112010020
4132022131102212030212110
5114342000230344210330
61150051103100025140
736641241321655326
oct3612352246144624
9571634668645106
10132660040616340
11392a6897540296
1212a664a32321b0
135903a32755173
1424a8accd19616
151050bd34bb210
hex78a75298c994

132660040616340 has 384 divisors, whose sum is σ = 408292448256000. Its totient is φ = 32068887552000.

The previous prime is 132660040616329. The next prime is 132660040616471. The reversal of 132660040616340 is 43616040066231.

132660040616340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1326600406163403 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132660040616292 and 132660040616301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 557442496 + ... + 557680424.

It is an arithmetic number, because the mean of its divisors is an integer number (1063261584000).

Almost surely, 2132660040616340 is an apocalyptic number.

132660040616340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132660040616340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204146224128000).

132660040616340 is an abundant number, since it is smaller than the sum of its proper divisors (275632407639660).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132660040616340 is a wasteful number, since it uses less digits than its factorization.

132660040616340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238231 (or 238229 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 42.

The spelling of 132660040616340 in words is "one hundred thirty-two trillion, six hundred sixty billion, forty million, six hundred sixteen thousand, three hundred forty".