Search a number
-
+
114623341063776 = 2535231765936293
BaseRepresentation
bin11010000011111111010011…
…100001101110111001100000
3120000211212212201102102200000
4122003333103201232321200
5110010442100303020101
61043441122544100000
733100156150245426
oct3203772341567140
9500755781372600
10114623341063776
1133582538896006
1210a32931004600
134bc5c1c66111c
142043b29435116
15d3b93976b486
hex683fd386ee60

114623341063776 has 288 divisors, whose sum is σ = 352759492350720. Its totient is φ = 36543496011264.

The previous prime is 114623341063727. The next prime is 114623341063807. The reversal of 114623341063776 is 677360143326411.

114623341063776 is a `hidden beast` number, since 1 + 1 + 4 + 623 + 3 + 4 + 1 + 0 + 6 + 3 + 7 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3158258686 + ... + 3158294978.

It is an arithmetic number, because the mean of its divisors is an integer number (1224859348440).

Almost surely, 2114623341063776 is an apocalyptic number.

114623341063776 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 114623341063776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176379746175360).

114623341063776 is an abundant number, since it is smaller than the sum of its proper divisors (238136151286944).

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

114623341063776 is a wasteful number, since it uses less digits than its factorization.

114623341063776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54000 (or 53980 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 114623341063776 in words is "one hundred fourteen trillion, six hundred twenty-three billion, three hundred forty-one million, sixty-three thousand, seven hundred seventy-six".