Search a number
-
+
43442342320 = 2451323786843
BaseRepresentation
bin101000011101010111…
…011000100110110000
311011010120102122102111
4220131113120212300
51202432214423240
631542424055104
73065353550146
oct503527304660
9134116378374
1043442342320
1117473084853
128504904494
1341342b2100
14216183b596
1511e3d051ea
hexa1d5d89b0

43442342320 has 120 divisors (see below), whose sum is σ = 112327850736. Its totient is φ = 15606549504.

The previous prime is 43442342261. The next prime is 43442342327. The reversal of 43442342320 is 2324324434.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (43442342327) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 456819 + ... + 543661.

Almost surely, 243442342320 is an apocalyptic number.

43442342320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43442342320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56163925368).

43442342320 is an abundant number, since it is smaller than the sum of its proper divisors (68885508416).

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

43442342320 is a wasteful number, since it uses less digits than its factorization.

43442342320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86919 (or 86900 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 31.

Adding to 43442342320 its reverse (2324324434), we get a palindrome (45766666754).

The spelling of 43442342320 in words is "forty-three billion, four hundred forty-two million, three hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 37 40 52 65 74 80 104 130 148 169 185 208 260 296 338 370 481 520 592 676 740 845 962 1040 1352 1480 1690 1924 2405 2704 2960 3380 3848 4810 6253 6760 7696 9620 12506 13520 19240 25012 31265 38480 50024 62530 86843 100048 125060 173686 250120 347372 434215 500240 694744 868430 1128959 1389488 1736860 2257918 3213191 3473720 4515836 5644795 6426382 6947440 9031672 11289590 12852764 14676467 16065955 18063344 22579180 25705528 29352934 32131910 41771483 45158360 51411056 58705868 64263820 73382335 83542966 90316720 117411736 128527640 146764670 167085932 208857415 234823472 257055280 293529340 334171864 417714830 543029279 587058680 668343728 835429660 1086058558 1174117360 1670859320 2172117116 2715146395 3341718640 4344234232 5430292790 8688468464 10860585580 21721171160 43442342320