Search a number
-
+
11344665140 = 22531591033011
BaseRepresentation
bin10101001000011000…
…11101101000110100
31002021121222200220222
422210030131220310
5141213213241030
65113415313512
7551063030324
oct124414355064
932247880828
1011344665140
1148a1849916
12224737b898
1310ba463513
1479898d284
15465e723e5
hex2a431da34

11344665140 has 96 divisors (see below), whose sum is σ = 25260318720. Its totient is φ = 4273718400.

The previous prime is 11344665139. The next prime is 11344665149. The reversal of 11344665140 is 4156644311.

It is a self number, because there is not a number n which added to its sum of digits gives 11344665140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11344665149) 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, 3766235 + ... + 3769245.

It is an arithmetic number, because the mean of its divisors is an integer number (263128320).

Almost surely, 211344665140 is an apocalyptic number.

11344665140 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 11344665140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12630159360).

11344665140 is an abundant number, since it is smaller than the sum of its proper divisors (13915653580).

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

11344665140 is a wasteful number, since it uses less digits than its factorization.

11344665140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3213 (or 3211 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The spelling of 11344665140 in words is "eleven billion, three hundred forty-four million, six hundred sixty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 31 59 62 103 118 124 155 206 236 295 310 412 515 590 620 1030 1180 1829 2060 3011 3193 3658 6022 6077 6386 7316 9145 12044 12154 12772 15055 15965 18290 24308 30110 30385 31930 36580 60220 60770 63860 93341 121540 177649 186682 188387 310133 355298 373364 376774 466705 620266 710596 753548 888245 933410 941935 1240532 1550665 1776490 1866820 1883870 3101330 3552980 3767740 5507119 6202660 9614123 11014238 18297847 19228246 22028476 27535595 36595694 38456492 48070615 55071190 73191388 91489235 96141230 110142380 182978470 192282460 365956940 567233257 1134466514 2268933028 2836166285 5672332570 11344665140