Search a number
-
+
11130014304 = 25351519479
BaseRepresentation
bin10100101110110011…
…01000101001100000
31001201200002022100000
422113121220221200
5140243240424204
65040230500000
7542545363203
oct122731505140
931650068300
1011130014304
1147a166a532
1221a7504600
131084b497a6
1477827593a
154521c2039
hex297668a60

11130014304 has 144 divisors (see below), whose sum is σ = 33044094720. Its totient is φ = 3685046400.

The previous prime is 11130014299. The next prime is 11130014309. The reversal of 11130014304 is 40341003111.

It is an interprime number because it is at equal distance from previous prime (11130014299) and next prime (11130014309).

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11130014309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1169437 + ... + 1178915.

It is an arithmetic number, because the mean of its divisors is an integer number (229472880).

Almost surely, 211130014304 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 11130014304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16522047360).

11130014304 is an abundant number, since it is smaller than the sum of its proper divisors (21914080416).

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

11130014304 is an equidigital number, since it uses as much as digits as its factorization.

11130014304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9655 (or 9635 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11130014304 its reverse (40341003111), we get a palindrome (51471017415).

The spelling of 11130014304 in words is "eleven billion, one hundred thirty million, fourteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 151 162 216 243 288 302 324 432 453 486 604 648 864 906 972 1208 1296 1359 1812 1944 2416 2592 2718 3624 3888 4077 4832 5436 7248 7776 8154 9479 10872 12231 14496 16308 18958 21744 24462 28437 32616 36693 37916 43488 48924 56874 65232 73386 75832 85311 97848 113748 130464 146772 151664 170622 195696 227496 255933 293544 303328 341244 391392 454992 511866 587088 682488 767799 909984 1023732 1174176 1364976 1431329 1535598 2047464 2303397 2729952 2862658 3071196 4094928 4293987 4606794 5725316 6142392 8189856 8587974 9213588 11450632 12284784 12881961 17175948 18427176 22901264 24569568 25763922 34351896 36854352 38645883 45802528 51527844 68703792 73708704 77291766 103055688 115937649 137407584 154583532 206111376 231875298 309167064 347812947 412222752 463750596 618334128 695625894 927501192 1236668256 1391251788 1855002384 2782503576 3710004768 5565007152 11130014304