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11041123440 = 2435194751517
BaseRepresentation
bin10100100100001101…
…00010110001110000
31001111110211011222210
422102012202301300
5140103011422230
65023333332120
7540416000154
oct122206426160
931443734883
1011041123440
114756476506
122181797040
13106c5c5649
1476a537064
154494b3eb0
hex2921a2c70

11041123440 has 160 divisors (see below), whose sum is σ = 36796216320. Its totient is φ = 2729935872.

The previous prime is 11041123411. The next prime is 11041123447. The reversal of 11041123440 is 4432114011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11041123447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 188562 + ... + 240078.

It is an arithmetic number, because the mean of its divisors is an integer number (229976352).

Almost surely, 211041123440 is an apocalyptic number.

11041123440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11041123440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18398108160).

11041123440 is an abundant number, since it is smaller than the sum of its proper divisors (25755092880).

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

11041123440 is a wasteful number, since it uses less digits than its factorization.

11041123440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51599 (or 51593 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 11041123440 its reverse (4432114011), we get a palindrome (15473237451).

The spelling of 11041123440 in words is "eleven billion, forty-one million, one hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 47 48 57 60 76 80 94 95 114 120 141 152 188 190 228 235 240 282 285 304 376 380 456 470 564 570 705 752 760 893 912 940 1128 1140 1410 1520 1786 1880 2256 2280 2679 2820 3572 3760 4465 4560 5358 5640 7144 8930 10716 11280 13395 14288 17860 21432 26790 35720 42864 51517 53580 71440 103034 107160 154551 206068 214320 257585 309102 412136 515170 618204 772755 824272 978823 1030340 1236408 1545510 1957646 2060680 2421299 2472816 2936469 3091020 3915292 4121360 4842598 4894115 5872938 6182040 7263897 7830584 9685196 9788230 11745876 12106495 12364080 14527794 14682345 15661168 19370392 19576460 23491752 24212990 29055588 29364690 36319485 38740784 39152920 46004681 46983504 48425980 58111176 58729380 72638970 78305840 92009362 96851960 116222352 117458760 138014043 145277940 184018724 193703920 230023405 234917520 276028086 290555880 368037448 460046810 552056172 581111760 690070215 736074896 920093620 1104112344 1380140430 1840187240 2208224688 2760280860 3680374480 5520561720 11041123440