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11411444412320 = 255449334747459
BaseRepresentation
bin1010011000001110111100…
…0101110010111110100000
31111101220221011220102122012
42212003233011302332200
52443431114232143240
640134202321132052
72255310142035041
oct246035705627640
944356834812565
1011411444412320
1136aa625969707
12134374578a028
1364a12ca7b2b4
142b64616508c8
1514bc87b79b65
hexa60ef172fa0

11411444412320 has 96 divisors (see below), whose sum is σ = 27028223208000. Its totient is φ = 4552954986496.

The previous prime is 11411444412257. The next prime is 11411444412353. The reversal of 11411444412320 is 2321444411411.

11411444412320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240424751 + ... + 240472209.

It is an arithmetic number, because the mean of its divisors is an integer number (281543991750).

Almost surely, 211411444412320 is an apocalyptic number.

11411444412320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11411444412320 is an abundant number, since it is smaller than the sum of its proper divisors (15616778795680).

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

11411444412320 is a wasteful number, since it uses less digits than its factorization.

11411444412320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51270 (or 51262 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

Adding to 11411444412320 its reverse (2321444411411), we get a palindrome (13732888823731).

Subtracting from 11411444412320 its reverse (2321444411411), we obtain a palindrome (9090000000909).

The spelling of 11411444412320 in words is "eleven trillion, four hundred eleven billion, four hundred forty-four million, four hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 449 898 1796 2245 3347 3592 4490 6694 7184 8980 13388 14368 16735 17960 26776 33470 35920 47459 53552 66940 71840 94918 107104 133880 189836 237295 267760 379672 474590 535520 759344 949180 1502803 1518688 1898360 3005606 3796720 6011212 7514015 7593440 12022424 15028030 21309091 24044848 30056060 42618182 48089696 60112120 85236364 106545455 120224240 158845273 170472728 213090910 240448480 317690546 340945456 426181820 635381092 681890912 794226365 852363640 1270762184 1588452730 1704727280 2541524368 3176905460 3409454560 5083048736 6353810920 12707621840 25415243680 71321527577 142643055154 285286110308 356607637885 570572220616 713215275770 1141144441232 1426430551540 2282288882464 2852861103080 5705722206160 11411444412320