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241440034322300 = 2252111072051317199
BaseRepresentation
bin110110111001011010100011…
…011110101111011101111100
31011122212102221010012011012112
4312321122203132233131330
5223121223142241303200
62213300004234553152
7101566316061222242
oct6671324336573574
91148772833164175
10241440034322300
116aa26164056590
12230b4842b987b8
13a49490b66c1c8
144389a8d68c792
151cda621932535
hexdb96a37af77c

241440034322300 has 72 divisors (see below), whose sum is σ = 576896038790400. Its totient is φ = 86975849195200.

The previous prime is 241440034322213. The next prime is 241440034322323. The reversal of 241440034322300 is 3223430044142.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1025540900 + ... + 1025776299.

It is an arithmetic number, because the mean of its divisors is an integer number (8012444983200).

Almost surely, 2241440034322300 is an apocalyptic number.

241440034322300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241440034322300 is an abundant number, since it is smaller than the sum of its proper divisors (335456004468100).

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

241440034322300 is a wasteful number, since it uses less digits than its factorization.

241440034322300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2051317331 (or 2051317324 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 241440034322300 its reverse (3223430044142), we get a palindrome (244663464366442).

The spelling of 241440034322300 in words is "two hundred forty-one trillion, four hundred forty billion, thirty-four million, three hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 107 110 214 220 275 428 535 550 1070 1100 1177 2140 2354 2675 4708 5350 5885 10700 11770 23540 29425 58850 117700 2051317199 4102634398 8205268796 10256585995 20513171990 22564489189 41026343980 45128978378 51282929975 90257956756 102565859950 112822445945 205131719900 219490940293 225644891890 438981880586 451289783780 564112229725 877963761172 1097454701465 1128224459450 2194909402930 2256448918900 2414400343223 4389818805860 4828800686446 5487273507325 9657601372892 10974547014650 12072001716115 21949094029300 24144003432230 48288006864460 60360008580575 120720017161150 241440034322300