Search a number
-
+
30432033440 = 2558917911939
BaseRepresentation
bin11100010101111000…
…111111101010100000
32220112212020110211122
4130111320333222200
5444311100032230
621551424031412
72125064005364
oct342570775240
986485213748
1030432033440
11119a70a9166
125a93762568
132b3ca410a3
14168998b2a4
15bd1a18be5
hex715e3faa0

30432033440 has 96 divisors (see below), whose sum is σ = 73115784000. Its totient is φ = 11967797248.

The previous prime is 30432033439. The next prime is 30432033451. The reversal of 30432033440 is 4433023403.

It is a super-2 number, since 2×304320334402 (a number of 22 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 2542991 + ... + 2554929.

It is an arithmetic number, because the mean of its divisors is an integer number (761622750).

Almost surely, 230432033440 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 30432033440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36557892000).

30432033440 is an abundant number, since it is smaller than the sum of its proper divisors (42683750560).

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

30432033440 is a wasteful number, since it uses less digits than its factorization.

30432033440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12222 (or 12214 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 26.

Adding to 30432033440 its reverse (4433023403), we get a palindrome (34865056843).

The spelling of 30432033440 in words is "thirty billion, four hundred thirty-two million, thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 89 160 178 179 356 358 445 712 716 890 895 1424 1432 1780 1790 2848 2864 3560 3580 5728 7120 7160 11939 14240 14320 15931 23878 28640 31862 47756 59695 63724 79655 95512 119390 127448 159310 191024 238780 254896 318620 382048 477560 509792 637240 955120 1062571 1274480 1910240 2125142 2137081 2548960 4250284 4274162 5312855 8500568 8548324 10625710 10685405 17001136 17096648 21251420 21370810 34002272 34193296 42502840 42741620 68386592 85005680 85483240 170011360 170966480 190200209 341932960 380400418 760800836 951001045 1521601672 1902002090 3043203344 3804004180 6086406688 7608008360 15216016720 30432033440