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11344011320 = 235795716287
BaseRepresentation
bin10101001000010011…
…11110000000111000
31002021120202111001102
422210021332000320
5141213031330240
65113353310532
7551054335205
oct124411760070
932246674042
1011344011320
1148a1442674
122247105448
1310ba294a45
1479885ccac
15465d93815
hex2a427e038

11344011320 has 64 divisors (see below), whose sum is σ = 25896499200. Its totient is φ = 4471608960.

The previous prime is 11344011317. The next prime is 11344011347. The reversal of 11344011320 is 2311044311.

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 = 11344011292 and 11344011301.

It is a congruent number.

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, 1801217 + ... + 1807503.

It is an arithmetic number, because the mean of its divisors is an integer number (404632800).

Almost surely, 211344011320 is an apocalyptic number.

11344011320 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 11344011320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12948249600).

11344011320 is an abundant number, since it is smaller than the sum of its proper divisors (14552487880).

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

11344011320 is a wasteful number, since it uses less digits than its factorization.

11344011320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6948 (or 6944 counting only the distinct ones).

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

Adding to 11344011320 its reverse (2311044311), we get a palindrome (13655055631).

The spelling of 11344011320 in words is "eleven billion, three hundred forty-four million, eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 79 158 316 395 571 632 790 1142 1580 2284 2855 3160 4568 5710 6287 11420 12574 22840 25148 31435 45109 50296 62870 90218 125740 180436 225545 251480 360872 451090 496673 902180 993346 1804360 1986692 2483365 3589877 3973384 4966730 7179754 9933460 14359508 17949385 19866920 28719016 35898770 71797540 143595080 283600283 567200566 1134401132 1418001415 2268802264 2836002830 5672005660 11344011320