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11104203422304 = 2532732179924229
BaseRepresentation
bin1010000110010110011000…
…0110011011101001100000
31110022112220000202222221200
42201211212012123221200
52423412402034003204
635341111200321200
72224152340515336
oct241454606335140
943275800688850
1011104203422304
1135a12a2389443
1212b409b313200
13627177a3a115
142a563697db56
15143ca494c539
hexa196619ba60

11104203422304 has 144 divisors (see below), whose sum is σ = 32012937684000. Its totient is φ = 3650378876928.

The previous prime is 11104203422261. The next prime is 11104203422329. The reversal of 11104203422304 is 40322430240111.

11104203422304 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 4 + 203 + 422 + 30 + 4 = 666.

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 458290062 + ... + 458314290.

It is an arithmetic number, because the mean of its divisors is an integer number (222312067250).

Almost surely, 211104203422304 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 11104203422304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16006468842000).

11104203422304 is an abundant number, since it is smaller than the sum of its proper divisors (20908734261696).

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

11104203422304 is a wasteful number, since it uses less digits than its factorization.

11104203422304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46117 (or 46106 counting only the distinct ones).

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

Adding to 11104203422304 its reverse (40322430240111), we get a palindrome (51426633662415).

The spelling of 11104203422304 in words is "eleven trillion, one hundred four billion, two hundred three million, four hundred twenty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 73 96 144 146 219 288 292 438 584 657 876 1168 1314 1752 2336 2628 3504 5256 7008 10512 21024 21799 24229 43598 48458 65397 72687 87196 96916 130794 145374 174392 193832 196191 218061 261588 290748 348784 387664 392382 436122 523176 581496 697568 775328 784764 872244 1046352 1162992 1569528 1591327 1744488 1768717 2092704 2325984 3139056 3182654 3488976 3537434 4773981 5306151 6278112 6365308 6977952 7074868 9547962 10612302 12730616 14149736 14321943 15918453 19095924 21224604 25461232 28299472 28643886 31836906 38191848 42449208 50922464 56598944 57287772 63673812 76383696 84898416 114575544 127347624 152767392 169796832 229151088 254695248 458302176 509390496 528167971 1056335942 1584503913 2112671884 3169007826 4225343768 4753511739 6338015652 8450687536 9507023478 12676031304 16901375072 19014046956 25352062608 38028093912 38556261883 50704125216 76056187824 77112523766 115668785649 152112375648 154225047532 231337571298 308450095064 347006356947 462675142596 616900190128 694012713894 925350285192 1233800380256 1388025427788 1850700570384 2776050855576 3701401140768 5552101711152 11104203422304