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13441011320 = 235111011512003
BaseRepresentation
bin11001000010010010…
…11000111001111000
31021200201122010021002
430201021120321320
5210011344330240
610101423304132
7654036465632
oct144111307170
937621563232
1013441011320
115778111820
12273144b048
131362872249
14917167a52
1553a016d15
hex321258e78

13441011320 has 128 divisors (see below), whose sum is σ = 33555617280. Its totient is φ = 4804800000.

The previous prime is 13441011281. The next prime is 13441011323. The reversal of 13441011320 is 2311014431.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13441011292 and 13441011301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13441011323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6709439 + ... + 6711441.

It is an arithmetic number, because the mean of its divisors is an integer number (262153260).

Almost surely, 213441011320 is an apocalyptic number.

13441011320 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 13441011320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16777808640).

13441011320 is an abundant number, since it is smaller than the sum of its proper divisors (20114605960).

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

13441011320 is a wasteful number, since it uses less digits than its factorization.

13441011320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2277 (or 2273 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 13441011320 its reverse (2311014431), we get a palindrome (15752025751).

The spelling of 13441011320 in words is "thirteen billion, four hundred forty-one million, eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 151 202 220 302 404 440 505 604 755 808 1010 1111 1208 1510 1661 2003 2020 2222 3020 3322 4006 4040 4444 5555 6040 6644 8012 8305 8888 10015 11110 13288 15251 16024 16610 20030 22033 22220 30502 33220 40060 44066 44440 61004 66440 76255 80120 88132 110165 122008 152510 167761 176264 202303 220330 302453 305020 335522 404606 440660 604906 610040 671044 809212 838805 881320 1011515 1209812 1342088 1512265 1618424 1677610 2023030 2225333 2419624 3024530 3326983 3355220 4046060 4450666 6049060 6653966 6710440 8092120 8901332 11126665 12098120 13307932 16634915 17802664 22253330 26615864 30547753 33269830 44506660 61095506 66539660 89013320 122191012 133079320 152738765 244382024 305477530 336025283 610955060 672050566 1221910120 1344101132 1680126415 2688202264 3360252830 6720505660 13441011320