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11024314044040 = 23511449197328283
BaseRepresentation
bin1010000001101100110001…
…0100101000111010001000
31110000220200101211002110001
42200123030110220322020
52421110243343402130
635240255553532344
72215323531145153
oct240331424507210
943026611732401
1011024314044040
113570426969090
1212a07045740b4
1361c7857c766b
142a181879cc9a
15141b7b0306ca
hexa06cc528e88

11024314044040 has 128 divisors (see below), whose sum is σ = 27134651376000. Its totient is φ = 3997744414720.

The previous prime is 11024314043983. The next prime is 11024314044043. The reversal of 11024314044040 is 4044041342011.

It is not an unprimeable number, because it can be changed into a prime (11024314044043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 389771739 + ... + 389800021.

It is an arithmetic number, because the mean of its divisors is an integer number (211989463875).

Almost surely, 211024314044040 is an apocalyptic number.

11024314044040 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 11024314044040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13567325688000).

11024314044040 is an abundant number, since it is smaller than the sum of its proper divisors (16110337331960).

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

11024314044040 is a wasteful number, since it uses less digits than its factorization.

11024314044040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30727 (or 30723 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 11024314044040 its reverse (4044041342011), we get a palindrome (15068355386051).

The spelling of 11024314044040 in words is "eleven trillion, twenty-four billion, three hundred fourteen million, forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 449 898 1796 1973 2245 3592 3946 4490 4939 7892 8980 9865 9878 15784 17960 19730 19756 21703 24695 28283 39460 39512 43406 49390 56566 78920 86812 98780 108515 113132 141415 173624 197560 217030 226264 282830 311113 434060 565660 622226 868120 885877 1131320 1244452 1555565 1771754 2488904 3111130 3543508 4429385 6222260 7087016 8858770 9744647 12444520 12699067 17717540 19489294 25398134 35435080 38978588 48723235 50796268 55802359 63495335 77957176 97446470 101592536 111604718 126990670 139689737 194892940 223209436 253981340 279011795 279379474 389785880 446418872 507962680 558023590 558758948 613825949 698448685 1116047180 1117517896 1227651898 1396897370 2232094360 2455303796 2793794740 3069129745 4910607592 5587589480 6138259490 12276518980 24553037960 25055259191 50110518382 100221036764 125276295955 200442073528 250552591910 275607851101 501105183820 551215702202 1002210367640 1102431404404 1378039255505 2204862808808 2756078511010 5512157022020 11024314044040