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11244130022304 = 2532791369136097
BaseRepresentation
bin1010001110011111101001…
…1000000011001110100000
31110210221001202100202211100
42203213322120003032200
52433210434241203204
635525252041114400
72240235011140434
oct243477230031640
943727052322740
1011244130022304
11364567729a023
121317230488a00
1363741733cb5a
142ac30c5429c4
15147743ec0a39
hexa39fa6033a0

11244130022304 has 144 divisors (see below), whose sum is σ = 32383510024320. Its totient is φ = 3700226949120.

The previous prime is 11244130022263. The next prime is 11244130022393. The reversal of 11244130022304 is 40322003144211.

11244130022304 is a `hidden beast` number, since 1 + 1 + 24 + 413 + 0 + 0 + 223 + 0 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 311479584 + ... + 311515680.

It is an arithmetic number, because the mean of its divisors is an integer number (224885486280).

Almost surely, 211244130022304 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 11244130022304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16191755012160).

11244130022304 is an abundant number, since it is smaller than the sum of its proper divisors (21139380002016).

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

11244130022304 is a wasteful number, since it uses less digits than its factorization.

11244130022304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49883 (or 49872 counting only the distinct ones).

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

Adding to 11244130022304 its reverse (40322003144211), we get a palindrome (51566133166515).

The spelling of 11244130022304 in words is "eleven trillion, two hundred forty-four billion, one hundred thirty million, twenty-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 7584 11376 13691 22752 27382 36097 41073 54764 72194 82146 108291 109528 123219 144388 164292 216582 219056 246438 288776 324873 328584 433164 438112 492876 577552 649746 657168 866328 985752 1081589 1155104 1299492 1314336 1732656 1971504 2163178 2598984 2851663 3244767 3465312 3943008 4326356 5197968 5703326 6489534 8554989 8652712 9734301 10395936 11406652 12979068 17109978 17305424 19468602 22813304 25664967 25958136 34219956 34610848 38937204 45626608 51329934 51916272 68439912 77874408 91253216 102659868 103832544 136879824 155748816 205319736 273759648 311497632 410639472 494204027 821278944 988408054 1482612081 1976816108 2965224162 3953632216 4447836243 5930448324 7907264432 8895672486 11860896648 15814528864 17791344972 23721793296 35582689944 39042118133 47443586592 71165379888 78084236266 117126354399 142330759776 156168472532 234252708798 312336945064 351379063197 468505417596 624673890128 702758126394 937010835192 1249347780256 1405516252788 1874021670384 2811032505576 3748043340768 5622065011152 11244130022304