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13441300000 = 2555139967
BaseRepresentation
bin11001000010010100…
…11111011000100000
31021200202011210020221
430201022133120200
5210011433100000
610101433412424
7654042110362
oct144112373040
937622153227
1013441300000
1157782996a7
12273156a114
13136294376b
14917200d32
1553a07261a
hex32129f620

13441300000 has 144 divisors (see below), whose sum is σ = 33348490560. Its totient is φ = 5332320000.

The previous prime is 13441299997. The next prime is 13441300001. The reversal of 13441300000 is 314431.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (13441300001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13899517 + ... + 13900483.

It is an arithmetic number, because the mean of its divisors is an integer number (231586740).

Almost surely, 213441300000 is an apocalyptic number.

13441300000 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 13441300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16674245280).

13441300000 is an abundant number, since it is smaller than the sum of its proper divisors (19907190560).

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

13441300000 is an frugal number, since it uses more digits than its factorization.

13441300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 13441300000 its reverse (314431), we get a palindrome (13441614431).

The spelling of 13441300000 in words is "thirteen billion, four hundred forty-one million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 139 160 200 250 278 400 500 556 625 695 800 967 1000 1112 1250 1390 1934 2000 2224 2500 2780 3125 3475 3868 4000 4448 4835 5000 5560 6250 6950 7736 9670 10000 11120 12500 13900 15472 17375 19340 20000 22240 24175 25000 27800 30944 34750 38680 48350 50000 55600 69500 77360 86875 96700 100000 111200 120875 134413 139000 154720 173750 193400 241750 268826 278000 347500 386800 434375 483500 537652 556000 604375 672065 695000 773600 868750 967000 1075304 1208750 1344130 1390000 1737500 1934000 2150608 2417500 2688260 2780000 3021875 3360325 3475000 3868000 4301216 4835000 5376520 6043750 6720650 6950000 9670000 10753040 12087500 13441300 13900000 16801625 19340000 21506080 24175000 26882600 33603250 48350000 53765200 67206500 84008125 96700000 107530400 134413000 168016250 268826000 336032500 420040625 537652000 672065000 840081250 1344130000 1680162500 2688260000 3360325000 6720650000 13441300000