Search a number
-
+
13330302030240 = 2535132136266351
BaseRepresentation
bin1100000111111011001111…
…1010101101000110100000
31202012100211200001011222220
43001332303322231012200
53221400424304431430
644203504535231040
72544040211466366
oct301766372550640
952170750034886
1013330302030240
11427a392a80898
1215b3603218480
1375907160b020
14341293753636
15181b42230110
hexc1fb3ead1a0

13330302030240 has 96 divisors (see below), whose sum is σ = 45220486139136. Its totient is φ = 3281305113600.

The previous prime is 13330302030229. The next prime is 13330302030259. The reversal of 13330302030240 is 4203020303331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13330302030240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1068126936 + ... + 1068139415.

It is an arithmetic number, because the mean of its divisors is an integer number (471046730616).

Almost surely, 213330302030240 is an apocalyptic number.

13330302030240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13330302030240 is an abundant number, since it is smaller than the sum of its proper divisors (31890184108896).

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

13330302030240 is a wasteful number, since it uses less digits than its factorization.

13330302030240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2136266382 (or 2136266374 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 13330302030240 its reverse (4203020303331), we get a palindrome (17533322333571).

The spelling of 13330302030240 in words is "thirteen trillion, three hundred thirty billion, three hundred two million, thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 2136266351 4272532702 6408799053 8545065404 10681331755 12817598106 17090130808 21362663510 25635196212 27771462563 32043995265 34180261616 42725327020 51270392424 55542925126 64087990530 68360523232 83314387689 85450654040 102540784848 111085850252 128175981060 138857312815 166628775378 170901308080 205081569696 222171700504 256351962120 277714625630 333257550756 341802616160 416571938445 444343401008 512703924240 555429251260 666515101512 833143876890 888686802016 1025407848480 1110858502520 1333030203024 1666287753780 2221717005040 2666060406048 3332575507560 4443434010080 6665151015120 13330302030240