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132440050028416 = 27131931727185873
BaseRepresentation
bin11110000111010000011010…
…001000101100111110000000
3122100221010220210121202022111
4132013100122020230332000
5114324344210301402131
61145402041414145104
736616322621555014
oct3607203210547600
9570833823552274
10132440050028416
1139221567599549
1212a2b928952194
1358b90739a5450
14249c1bdcc2544
15104a10a039ab1
hex78741a22cf80

132440050028416 has 256 divisors, whose sum is σ = 309170618265600. Its totient is φ = 55963590819840.

The previous prime is 132440050028347. The next prime is 132440050028417. The reversal of 132440050028416 is 614820050044231.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132440050028417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 712436856 + ... + 712622728.

It is an arithmetic number, because the mean of its divisors is an integer number (1207697727600).

Almost surely, 2132440050028416 is an apocalyptic number.

132440050028416 is a gapful number since it is divisible by the number (16) 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 132440050028416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154585309132800).

132440050028416 is an abundant number, since it is smaller than the sum of its proper divisors (176730568237184).

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

132440050028416 is a wasteful number, since it uses less digits than its factorization.

132440050028416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186677 (or 186665 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The spelling of 132440050028416 in words is "one hundred thirty-two trillion, four hundred forty billion, fifty million, twenty-eight thousand, four hundred sixteen".