Search a number
-
+
1241412302304 = 25327966378221
BaseRepresentation
bin10010000100001001111…
…100000111010111100000
311101200022011021001000200
4102010021330013113200
5130314403022133204
62350144045545200
7155455232315166
oct22041174072740
94350264231020
101241412302304
11439530976819
12180716575200
13900ac1354b5
14441284cb236
152245a697539
hex12109f075e0

1241412302304 has 144 divisors (see below), whose sum is σ = 3575926710720. Its totient is φ = 408454824960.

The previous prime is 1241412302287. The next prime is 1241412302311. The reversal of 1241412302304 is 4032032141421.

1241412302304 is a `hidden beast` number, since 1 + 2 + 41 + 4 + 12 + 302 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×12414123023042 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151000914 + ... + 151009134.

It is an arithmetic number, because the mean of its divisors is an integer number (24832824380).

Almost surely, 21241412302304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1241412302304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1787963355360).

1241412302304 is an abundant number, since it is smaller than the sum of its proper divisors (2334514408416).

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

1241412302304 is a wasteful number, since it uses less digits than its factorization.

1241412302304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14953 (or 14942 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1241412302304 its reverse (4032032141421), we get a palindrome (5273444443725).

The spelling of 1241412302304 in words is "one trillion, two hundred forty-one billion, four hundred twelve million, three hundred two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 79 96 144 158 237 288 316 474 632 711 948 1264 1422 1896 2528 2844 3792 5688 6637 7584 8221 11376 13274 16442 19911 22752 24663 26548 32884 39822 49326 53096 59733 65768 73989 79644 98652 106192 119466 131536 147978 159288 197304 212384 238932 263072 295956 318576 394608 477864 524323 591912 637152 649459 789216 955728 1048646 1183824 1298918 1572969 1911456 1948377 2097292 2367648 2597836 3145938 3896754 4194584 4718907 5195672 5845131 6291876 7793508 8389168 9437814 10391344 11690262 12583752 15587016 16778336 18875628 20782688 23380524 25167504 31174032 37751256 46761048 50335008 54562777 62348064 75502512 93522096 109125554 151005024 163688331 187044192 218251108 327376662 436502216 491064993 654753324 873004432 982129986 1309506648 1746008864 1964259972 2619013296 3928519944 4310459383 5238026592 7857039888 8620918766 12931378149 15714079776 17241837532 25862756298 34483675064 38794134447 51725512596 68967350128 77588268894 103451025192 137934700256 155176537788 206902050384 310353075576 413804100768 620706151152 1241412302304