Search a number
-
+
11222313041440 = 255891531514751
BaseRepresentation
bin1010001101001110010111…
…1110110111111000100000
31110201211202021212022102001
42203103211332313320200
52432331244114311230
635511243123333344
72235533243643304
oct243234576677040
943654667768361
1011222313041440
1136373a1168426
121312b61b21254
1363534b3ab017
142ab23cc03d04
15146db89950ca
hexa34e5fb7e20

11222313041440 has 96 divisors (see below), whose sum is σ = 26828174177280. Its totient is φ = 4435580160000.

The previous prime is 11222313041363. The next prime is 11222313041453. The reversal of 11222313041440 is 4414031322211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11222313041399 and 11222313041408.

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, 21544065 + ... + 22058815.

It is an arithmetic number, because the mean of its divisors is an integer number (279460147680).

Almost surely, 211222313041440 is an apocalyptic number.

11222313041440 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 11222313041440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13414087088640).

11222313041440 is an abundant number, since it is smaller than the sum of its proper divisors (15605861135840).

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

11222313041440 is a wasteful number, since it uses less digits than its factorization.

11222313041440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516386 (or 516378 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 11222313041440 its reverse (4414031322211), we get a palindrome (15636344363651).

The spelling of 11222313041440 in words is "eleven trillion, two hundred twenty-two billion, three hundred thirteen million, forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 89 160 178 356 445 712 890 1424 1531 1780 2848 3062 3560 6124 7120 7655 12248 14240 15310 24496 30620 48992 61240 122480 136259 244960 272518 514751 545036 681295 1029502 1090072 1362590 2059004 2180144 2573755 2725180 4118008 4360288 5147510 5450360 8236016 10295020 10900720 16472032 20590040 21801440 41180080 45812839 82360160 91625678 183251356 229064195 366502712 458128390 733005424 788083781 916256780 1466010848 1576167562 1832513560 3152335124 3665027120 3940418905 6304670248 7330054240 7880837810 12609340496 15761675620 25218680992 31523351240 63046702480 70139456509 126093404960 140278913018 280557826036 350697282545 561115652072 701394565090 1122231304144 1402789130180 2244462608288 2805578260360 5611156520720 11222313041440