Search a number
-
+
114121242433335 = 35127593836912071
BaseRepresentation
bin11001111100101011101100…
…000111011101011100110111
3112222001212212121021020200010
4121330223230013131130313
5104424230301030331320
61042414324111551303
733015662526305004
oct3174535407353467
9488055777236603
10114121242433335
11333a9602245495
121097156522b533
134b8a7827b49b7
1420276d76008ab
15d2d84e791ae0
hex67caec1dd737

114121242433335 has 64 divisors (see below), whose sum is σ = 184379376107520. Its totient is φ = 60271386255360.

The previous prime is 114121242433199. The next prime is 114121242433337. The reversal of 114121242433335 is 533334242121411.

It is not a de Polignac number, because 114121242433335 - 213 = 114121242425143 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 114121242433293 and 114121242433302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114121242433337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9454160350 + ... + 9454172420.

It is an arithmetic number, because the mean of its divisors is an integer number (2880927751680).

Almost surely, 2114121242433335 is an apocalyptic number.

114121242433335 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

114121242433335 is a deficient number, since it is larger than the sum of its proper divisors (70258133674185).

114121242433335 is a wasteful number, since it uses less digits than its factorization.

114121242433335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21168.

The product of its digits is 207360, while the sum is 39.

Adding to 114121242433335 its reverse (533334242121411), we get a palindrome (647455484554746).

The spelling of 114121242433335 in words is "one hundred fourteen trillion, one hundred twenty-one billion, two hundred forty-two million, four hundred thirty-three thousand, three hundred thirty-five".

Divisors: 1 3 5 15 127 381 593 635 1779 1905 2965 8369 8895 12071 25107 36213 41845 60355 75311 125535 181065 225933 376555 1062863 1129665 1533017 3188589 4599051 4962817 5314315 7158103 7665085 14888451 15942945 21474309 22995255 24814085 35790515 74442255 101022199 107371545 303066597 505110995 630277759 909079081 1515332985 1890833277 2727237243 3151388795 4545395405 9454166385 12829819273 13636186215 38489457819 59906164007 64149096365 179718492021 192447289095 299530820035 898592460105 7608082828889 22824248486667 38040414144445 114121242433335