Search a number
-
+
114141041031240 = 233352343130781761
BaseRepresentation
bin11001111100111110001000…
…001101000111100001001000
3112222010202222101211020012000
4121330332020031013201020
5104430041323000444430
61042431400444351000
733020263254514536
oct3174761015074110
9488122871736160
10114141041031240
1133406a420140a3
121097536b845460
134b8c5b95340a2
142028654c5b156
15d2e10c9c7e60
hex67cf88347848

114141041031240 has 512 divisors, whose sum is σ = 406560956313600. Its totient is φ = 28415056158720.

The previous prime is 114141041031229. The next prime is 114141041031317. The reversal of 114141041031240 is 42130140141411.

114141041031240 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 4 + 1 + 0 + 410 + 3 + 1 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1395991960 + ... + 1396073720.

It is an arithmetic number, because the mean of its divisors is an integer number (794064367800).

Almost surely, 2114141041031240 is an apocalyptic number.

114141041031240 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 114141041031240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203280478156800).

114141041031240 is an abundant number, since it is smaller than the sum of its proper divisors (292419915282360).

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

114141041031240 is a wasteful number, since it uses less digits than its factorization.

114141041031240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83154 (or 83144 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 114141041031240 its reverse (42130140141411), we get a palindrome (156271181172651).

The spelling of 114141041031240 in words is "one hundred fourteen trillion, one hundred forty-one billion, forty-one million, thirty-one thousand, two hundred forty".