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11313014240 = 2551127123719
BaseRepresentation
bin10101000100100111…
…01110010111100000
31002012102102200001102
422202103232113200
5141132112423430
65110325053532
7550230014543
oct124223562740
932172380042
1011313014240
1148859a1050
1222388572a8
1310b3a30c88
147946b085a
154632be345
hex2a24ee5e0

11313014240 has 96 divisors (see below), whose sum is σ = 29265546240. Its totient is φ = 4098470400.

The previous prime is 11313014239. The next prime is 11313014267. The reversal of 11313014240 is 4241031311.

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

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, 465101 + ... + 488819.

It is an arithmetic number, because the mean of its divisors is an integer number (304849440).

Almost surely, 211313014240 is an apocalyptic number.

11313014240 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 11313014240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14632773120).

11313014240 is an abundant number, since it is smaller than the sum of its proper divisors (17952532000).

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

11313014240 is a wasteful number, since it uses less digits than its factorization.

11313014240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24016 (or 24008 counting only the distinct ones).

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

Adding to 11313014240 its reverse (4241031311), we get a palindrome (15554045551).

The spelling of 11313014240 in words is "eleven billion, three hundred thirteen million, fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 271 352 440 542 880 1084 1355 1760 2168 2710 2981 4336 5420 5962 8672 10840 11924 14905 21680 23719 23848 29810 43360 47438 47696 59620 94876 95392 118595 119240 189752 237190 238480 260909 379504 474380 476960 521818 759008 948760 1043636 1304545 1897520 2087272 2609090 3795040 4174544 5218180 6427849 8349088 10436360 12855698 20872720 25711396 32139245 41745440 51422792 64278490 70706339 102845584 128556980 141412678 205691168 257113960 282825356 353531695 514227920 565650712 707063390 1028455840 1131301424 1414126780 2262602848 2828253560 5656507120 11313014240