Search a number
-
+
114313586850 = 23452235092411
BaseRepresentation
bin110101001110110011…
…1101110100010100010
3101221001201011220010000
41222131213232202202
53333103234234400
6124303120520430
711154540312261
oct1523547564242
9357051156100
10114313586850
1144531048821
121a1a3480116
13aa1a095768
1457660465d8
152e90b62600
hex1a9d9ee8a2

114313586850 has 240 divisors, whose sum is σ = 332220968640. Its totient is φ = 29088892800.

The previous prime is 114313586819. The next prime is 114313586851. The reversal of 114313586850 is 58685313411.

114313586850 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 13 + 586 + 8 + 50 = 666.

It is a super-2 number, since 2×1143135868502 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 114313586796 and 114313586805.

It is not an unprimeable number, because it can be changed into a prime (114313586851) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 47412145 + ... + 47414555.

It is an arithmetic number, because the mean of its divisors is an integer number (1384254036).

Almost surely, 2114313586850 is an apocalyptic number.

114313586850 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 114313586850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166110484320).

114313586850 is an abundant number, since it is smaller than the sum of its proper divisors (217907381790).

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

114313586850 is a wasteful number, since it uses less digits than its factorization.

114313586850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2967 (or 2953 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 114313586850 in words is "one hundred fourteen billion, three hundred thirteen million, five hundred eighty-six thousand, eight hundred fifty".