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11132132044040 = 2357211433435161
BaseRepresentation
bin1010000111111110011011…
…0001101010110100001000
31110102012222102101222112022
42201333212301222310020
52424342101300402130
635402010355504012
72226161416055450
oct241774661526410
943365872358468
1011132132044040
113602124363307
1212b95945b8008
136299a8c25bb7
142a6b25c6cd60
1514488b7b47e5
hexa1fe6c6ad08

11132132044040 has 128 divisors (see below), whose sum is σ = 28827637413120. Its totient is φ = 3789860659200.

The previous prime is 11132132044039. The next prime is 11132132044123. The reversal of 11132132044040 is 4044023123111.

11132132044040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25364060 + ... + 25799220.

It is an arithmetic number, because the mean of its divisors is an integer number (225215917290).

Almost surely, 211132132044040 is an apocalyptic number.

11132132044040 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 11132132044040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14413818706560).

11132132044040 is an abundant number, since it is smaller than the sum of its proper divisors (17695505369080).

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

11132132044040 is a wasteful number, since it uses less digits than its factorization.

11132132044040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435823 (or 435819 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 11132132044040 its reverse (4044023123111), we get a palindrome (15176155167151).

The spelling of 11132132044040 in words is "eleven trillion, one hundred thirty-two billion, one hundred thirty-two million, forty-four thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 211 280 422 433 844 866 1055 1477 1688 1732 2110 2165 2954 3031 3464 4220 4330 5908 6062 7385 8440 8660 11816 12124 14770 15155 17320 24248 29540 30310 59080 60620 91363 121240 182726 365452 435161 456815 639541 730904 870322 913630 1279082 1740644 1827260 2175805 2558164 3046127 3197705 3481288 3654520 4351610 5116328 6092254 6395410 8703220 12184508 12790820 15230635 17406440 24369016 25581640 30461270 60922540 91818971 121845080 183637942 188424713 367275884 376849426 459094855 642732797 734551768 753698852 918189710 942123565 1285465594 1318972991 1507397704 1836379420 1884247130 2570931188 2637945982 3213663985 3672758840 3768494260 5141862376 5275891964 6427327970 6594864955 7536988520 10551783928 12854655940 13189729910 25709311880 26379459820 39757614443 52758919640 79515228886 159030457772 198788072215 278303301101 318060915544 397576144430 556606602202 795152288860 1113213204404 1391516505505 1590304577720 2226426408808 2783033011010 5566066022020 11132132044040