Search a number
-
+
114520130320 = 24519137549943
BaseRepresentation
bin110101010100111101…
…1101000001100010000
3101221121002211101111011
41222221323220030100
53334014123132240
6124335415500304
711162626021651
oct1525173501420
9357532741434
10114520130320
114462769aa02
121a240687694
13aa50b0122b
14578564d528
152ea3d606ea
hex1aa9ee8310

114520130320 has 80 divisors (see below), whose sum is σ = 282319251840. Its totient is φ = 43080256512.

The previous prime is 114520130311. The next prime is 114520130327. The reversal of 114520130320 is 23031025411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1145201303202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114520130291 and 114520130300.

It is not an unprimeable number, because it can be changed into a prime (114520130327) 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 15 ways as a sum of consecutive naturals, for example, 66732 + ... + 483211.

It is an arithmetic number, because the mean of its divisors is an integer number (3528990648).

Almost surely, 2114520130320 is an apocalyptic number.

114520130320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114520130320 is an abundant number, since it is smaller than the sum of its proper divisors (167799121520).

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

114520130320 is a wasteful number, since it uses less digits than its factorization.

114520130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550112 (or 550106 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 114520130320 its reverse (23031025411), we get a palindrome (137551155731).

The spelling of 114520130320 in words is "one hundred fourteen billion, five hundred twenty million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 137 152 190 274 304 380 548 685 760 1096 1370 1520 2192 2603 2740 5206 5480 10412 10960 13015 20824 26030 41648 52060 104120 208240 549943 1099886 2199772 2749715 4399544 5499430 8799088 10448917 10998860 20897834 21997720 41795668 43995440 52244585 75342191 83591336 104489170 150684382 167182672 208978340 301368764 376710955 417956680 602737528 753421910 835913360 1205475056 1431501629 1506843820 2863003258 3013687640 5726006516 6027375280 7157508145 11452013032 14315016290 22904026064 28630032580 57260065160 114520130320