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11104333014144 = 273531912856617
BaseRepresentation
bin1010000110010110110111…
…0100110010010010000000
31110022120020001121221112110
42201211231310302102000
52423413133222423034
635341132110055320
72224155503156166
oct241455564622200
943276201557473
1011104333014144
1135a1359551737
1212b41167aa540
13627198841b96
142a5649c75236
15143cb0ee9de9
hexa196dd32480

11104333014144 has 128 divisors (see below), whose sum is σ = 30209763732480. Its totient is φ = 3612590858240.

The previous prime is 11104333014107. The next prime is 11104333014157. The reversal of 11104333014144 is 44141033340111.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2458924 + ... + 5315540.

It is an arithmetic number, because the mean of its divisors is an integer number (236013779160).

Almost surely, 211104333014144 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 11104333014144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15104881866240).

11104333014144 is an abundant number, since it is smaller than the sum of its proper divisors (19105430718336).

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

11104333014144 is a wasteful number, since it uses less digits than its factorization.

11104333014144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2856878 (or 2856866 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 11104333014144 its reverse (44141033340111), we get a palindrome (55245366354255).

The spelling of 11104333014144 in words is "eleven trillion, one hundred four billion, three hundred thirty-three million, fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 191 192 212 318 382 384 424 573 636 764 848 1146 1272 1528 1696 2292 2544 3056 3392 4584 5088 6112 6784 9168 10123 10176 12224 18336 20246 20352 24448 30369 36672 40492 60738 73344 80984 121476 161968 242952 323936 485904 647872 971808 1295744 1943616 2856617 3887232 5713234 8569851 11426468 17139702 22852936 34279404 45705872 68558808 91411744 137117616 151400701 182823488 274235232 302801402 365646976 454202103 545613847 548470464 605602804 908404206 1091227694 1096940928 1211205608 1636841541 1816808412 2182455388 2422411216 3273683082 3633616824 4364910776 4844822432 6547366164 7267233648 8729821552 9689644864 13094732328 14534467296 17459643104 19379289728 26189464656 28917533891 29068934592 34919286208 52378929312 57835067782 58137869184 69838572416 86752601673 104757858624 115670135564 173505203346 209515717248 231340271128 347010406692 462680542256 694020813384 925361084512 1388041626768 1850722169024 2776083253536 3701444338048 5552166507072 11104333014144