Search a number
-
+
63142038414 = 232713234338977
BaseRepresentation
bin111010110011100011…
…110000101110001110
320000222110212220011100
4322303203300232032
52013303330212124
645001305003530
74363501320360
oct726343605616
9200873786140
1063142038414
1124862042024
12102a21835a6
135c536b3810
1430adcb0d30
1519985021c9
hexeb38f0b8e

63142038414 has 192 divisors, whose sum is σ = 179790234624. Its totient is φ = 15557971968.

The previous prime is 63142038389. The next prime is 63142038451. The reversal of 63142038414 is 41483024136.

63142038414 is a `hidden beast` number, since 6 + 31 + 4 + 203 + 8 + 414 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1600494 + ... + 1639470.

It is an arithmetic number, because the mean of its divisors is an integer number (936407472).

Almost surely, 263142038414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63142038414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89895117312).

63142038414 is an abundant number, since it is smaller than the sum of its proper divisors (116648196210).

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

63142038414 is a wasteful number, since it uses less digits than its factorization.

63142038414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39071 (or 39068 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 63142038414 in words is "sixty-three billion, one hundred forty-two million, thirty-eight thousand, four hundred fourteen".