Search a number
-
+
30444123450 = 235213154910079
BaseRepresentation
bin11100010110100111…
…000111010100111010
32220120200222201012210
4130112213013110322
5444322143422300
621552535115550
72125301531256
oct342647072472
986520881183
1030444123450
1111a02a06604
125a97812bb6
132b423b5040
14168b417266
15bd2b06050
hex7169c753a

30444123450 has 96 divisors (see below), whose sum is σ = 81369792000. Its totient is φ = 7488357120.

The previous prime is 30444123449. The next prime is 30444123461. The reversal of 30444123450 is 5432144403.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3015511 + ... + 3025589.

It is an arithmetic number, because the mean of its divisors is an integer number (847602000).

Almost surely, 230444123450 is an apocalyptic number.

30444123450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30444123450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40684896000).

30444123450 is an abundant number, since it is smaller than the sum of its proper divisors (50925668550).

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

30444123450 is a wasteful number, since it uses less digits than its factorization.

30444123450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11656 (or 11651 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 30444123450 its reverse (5432144403), we get a palindrome (35876267853).

The spelling of 30444123450 in words is "thirty billion, four hundred forty-four million, one hundred twenty-three thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 130 150 195 325 390 650 975 1549 1950 3098 4647 7745 9294 10079 15490 20137 20158 23235 30237 38725 40274 46470 50395 60411 60474 77450 100685 100790 116175 120822 131027 151185 201370 232350 251975 262054 302055 302370 393081 503425 503950 604110 655135 755925 786162 1006850 1310270 1510275 1511850 1965405 3020550 3275675 3930810 6551350 9827025 15612371 19654050 31224742 46837113 78061855 93674226 156123710 202960823 234185565 390309275 405921646 468371130 608882469 780618550 1014804115 1170927825 1217764938 2029608230 2341855650 3044412345 5074020575 6088824690 10148041150 15222061725 30444123450