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13421334000 = 2435319117731
BaseRepresentation
bin11000111111111100…
…10100110111110000
31021122100121102001110
430133332110313300
5204441330142000
610055441433320
7653410312434
oct143776246760
937570542043
1013421334000
115767aa1978
12272693b840
13135b772969
149146c49c4
1553842b850
hex31ff94df0

13421334000 has 160 divisors (see below), whose sum is σ = 45548156160. Its totient is φ = 3390624000.

The previous prime is 13421333999. The next prime is 13421334011. The reversal of 13421334000 is 43312431.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55135 + ... + 172865.

It is an arithmetic number, because the mean of its divisors is an integer number (284675976).

Almost surely, 213421334000 is an apocalyptic number.

13421334000 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 13421334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22774078080).

13421334000 is an abundant number, since it is smaller than the sum of its proper divisors (32126822160).

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

13421334000 is a wasteful number, since it uses less digits than its factorization.

13421334000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117776 (or 117760 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 13421334000 its reverse (43312431), we get a palindrome (13464646431).

The spelling of 13421334000 in words is "thirteen billion, four hundred twenty-one million, three hundred thirty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 38 40 48 50 57 60 75 76 80 95 100 114 120 125 150 152 190 200 228 240 250 285 300 304 375 380 400 456 475 500 570 600 750 760 912 950 1000 1140 1200 1425 1500 1520 1900 2000 2280 2375 2850 3000 3800 4560 4750 5700 6000 7125 7600 9500 11400 14250 19000 22800 28500 38000 57000 114000 117731 235462 353193 470924 588655 706386 941848 1177310 1412772 1765965 1883696 2236889 2354620 2825544 2943275 3531930 4473778 4709240 5651088 5886550 6710667 7063860 8829825 8947556 9418480 11184445 11773100 13421334 14127720 14716375 17659650 17895112 22368890 23546200 26842668 28255440 29432750 33553335 35319300 35790224 44149125 44737780 47092400 53685336 55922225 58865500 67106670 70638600 88298250 89475560 107370672 111844450 117731000 134213340 141277200 167766675 176596500 178951120 223688900 235462000 268426680 279611125 335533350 353193000 447377800 536853360 559222250 671066700 706386000 838833375 894755600 1118444500 1342133400 1677666750 2236889000 2684266800 3355333500 4473778000 6710667000 13421334000