Search a number
-
+
114050230144 = 276137933851
BaseRepresentation
bin110101000110111101…
…1000110011110000000
3101220101100121222121221
41222031323012132000
53332033324331034
6124221032124424
711145161650414
oct1521573063600
9356340558557
10114050230144
1144406421a54
121a12b236714
13a9a76576a6
14573d090d44
152e77990bb4
hex1a8dec6780

114050230144 has 64 divisors (see below), whose sum is σ = 231055055280. Its totient is φ = 56060928000.

The previous prime is 114050230141. The next prime is 114050230163. The reversal of 114050230144 is 441032050411.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114050230141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29613819 + ... + 29617669.

Almost surely, 2114050230144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114050230144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115527527640).

114050230144 is an abundant number, since it is smaller than the sum of its proper divisors (117004825136).

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

114050230144 is an equidigital number, since it uses as much as digits as its factorization.

114050230144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7719 (or 7707 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 114050230144 its reverse (441032050411), we get a palindrome (555082280555).

The spelling of 114050230144 in words is "one hundred fourteen billion, fifty million, two hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 488 976 1952 3793 3851 3904 7586 7702 7808 15172 15404 30344 30808 60688 61616 121376 123232 231373 234911 242752 246464 462746 469822 485504 492928 925492 939644 1850984 1879288 3701968 3758576 7403936 7517152 14606843 14807872 15034304 29213686 29615744 30068608 58427372 116854744 233709488 467418976 891017423 934837952 1782034846 1869675904 3564069692 7128139384 14256278768 28512557536 57025115072 114050230144