Search a number
-
+
68230142866944 = 293229736994279
BaseRepresentation
bin11111000001110000100010…
…11011011011011000000000
322221120201220222011220022100
433200320101123123120000
532420340313033220234
6401040254522510400
720241315355151352
oct1740702133333000
9287521828156270
1068230142866944
111a81627198a623
12779b560965400
132c0c0c8628b56
1412bc4dc4910d2
157d4c513d7399
hex3e0e116db600

68230142866944 has 240 divisors, whose sum is σ = 206497583978400. Its totient is φ = 21658313392128.

The previous prime is 68230142866937. The next prime is 68230142866969. The reversal of 68230142866944 is 44966824103286.

It is a happy number.

68230142866944 is a `hidden beast` number, since 6 + 8 + 2 + 301 + 4 + 286 + 6 + 9 + 44 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6257997 + ... + 13252275.

It is an arithmetic number, because the mean of its divisors is an integer number (860406599910).

Almost surely, 268230142866944 is an apocalyptic number.

68230142866944 is a gapful number since it is divisible by the number (64) 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 68230142866944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103248791989200).

68230142866944 is an abundant number, since it is smaller than the sum of its proper divisors (138267441111456).

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

68230142866944 is a wasteful number, since it uses less digits than its factorization.

68230142866944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6994405 (or 6994386 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 63.

The spelling of 68230142866944 in words is "sixty-eight trillion, two hundred thirty billion, one hundred forty-two million, eight hundred sixty-six thousand, nine hundred forty-four".