Search a number
-
+
11442302113320 = 2333513814978783
BaseRepresentation
bin1010011010000001111001…
…0110100101011000101000
31111111212120201010001121000
42212200132112211120220
52444432313320111240
640200304312515000
72260451625130641
oct246403626453050
944455521101530
1011442302113320
113711720274141
1213497179aba60
13650009a49980
142b7b4b9646c8
1514c991c27430
hexa681e5a5628

11442302113320 has 128 divisors (see below), whose sum is σ = 41074930713600. Its totient is φ = 2816566670592.

The previous prime is 11442302113261. The next prime is 11442302113339. The reversal of 11442302113320 is 2331120324411.

11442302113320 is a `hidden beast` number, since 1 + 1 + 4 + 423 + 0 + 211 + 3 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 407475352 + ... + 407503431.

It is an arithmetic number, because the mean of its divisors is an integer number (320897896200).

Almost surely, 211442302113320 is an apocalyptic number.

11442302113320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11442302113320 is an abundant number, since it is smaller than the sum of its proper divisors (29632628600280).

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

11442302113320 is a wasteful number, since it uses less digits than its factorization.

11442302113320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814978816 (or 814978806 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 11442302113320 its reverse (2331120324411), we get a palindrome (13773422437731).

The spelling of 11442302113320 in words is "eleven trillion, four hundred forty-two billion, three hundred two million, one hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 90 104 108 117 120 130 135 156 180 195 216 234 260 270 312 351 360 390 468 520 540 585 702 780 936 1080 1170 1404 1560 1755 2340 2808 3510 4680 7020 14040 814978783 1629957566 2444936349 3259915132 4074893915 4889872698 6519830264 7334809047 8149787830 9779745396 10594724179 12224681745 14669618094 16299575660 19559490792 21189448358 22004427141 24449363490 29339236188 31784172537 32599151320 36674045235 42378896716 44008854282 48898726980 52973620895 58678472376 63568345074 73348090470 84757793432 88017708564 95352517611 97797453960 105947241790 110022135705 127136690148 146696180940 158920862685 176035417128 190705035222 211894483580 220044271410 254273380296 286057552833 293392361880 317841725370 381410070444 423788967160 440088542820 476762588055 572115105666 635683450740 762820140888 880177085640 953525176110 1144230211332 1271366901480 1430287764165 1907050352220 2288460422664 2860575528330 3814100704440 5721151056660 11442302113320