Search a number
-
+
114840094950 = 23452737109481
BaseRepresentation
bin110101011110100000…
…0001100100011100110
3101222102101220021110000
41222331000030203212
53340143031014300
6124431245442130
711203562462310
oct1527500144346
9358371807400
10114840094950
1144781270089
121a30b870346
13aaa219c309
1457b5d3c7b0
152ec1eb4c00
hex1abd00c8e6

114840094950 has 240 divisors, whose sum is σ = 374528287584. Its totient is φ = 25539494400.

The previous prime is 114840094949. The next prime is 114840094979. The reversal of 114840094950 is 59490048411.

It is a happy number.

114840094950 is a `hidden beast` number, since 114 + 8 + 40 + 0 + 9 + 495 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 114840094896 and 114840094905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 994210 + ... + 1103690.

Almost surely, 2114840094950 is an apocalyptic number.

114840094950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114840094950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187264143792).

114840094950 is an abundant number, since it is smaller than the sum of its proper divisors (259688192634).

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

114840094950 is a wasteful number, since it uses less digits than its factorization.

114840094950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109549 (or 109535 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 114840094950 in words is "one hundred fourteen billion, eight hundred forty million, ninety-four thousand, nine hundred fifty".