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14141100000 = 2535547137
BaseRepresentation
bin11010010101110000…
…00000111111100000
31100111111222022101110
431022320000333200
5212430110200000
610255112503320
71010300236536
oct151270007740
940444868343
1014141100000
115aa7311805
1228a79aab40
131444912ac1
14982126156
1557b705850
hex34ae00fe0

14141100000 has 144 divisors (see below), whose sum is σ = 46398499056. Its totient is φ = 3770880000.

The previous prime is 14141099989. The next prime is 14141100049. The reversal of 14141100000 is 114141.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 276432 + ... + 323568.

It is an arithmetic number, because the mean of its divisors is an integer number (322211799).

Almost surely, 214141100000 is an apocalyptic number.

14141100000 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 14141100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23199249528).

14141100000 is an abundant number, since it is smaller than the sum of its proper divisors (32257399056).

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

14141100000 is an frugal number, since it uses more digits than its factorization.

14141100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47175 (or 47147 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 14141100000 its reverse (114141), we get a palindrome (14141214141).

The spelling of 14141100000 in words is "fourteen billion, one hundred forty-one million, one hundred thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3125 3750 4000 5000 6000 6250 7500 9375 10000 12000 12500 15000 18750 20000 25000 30000 37500 47137 50000 60000 75000 94274 100000 141411 150000 188548 235685 282822 300000 377096 471370 565644 707055 754192 942740 1131288 1178425 1414110 1508384 1885480 2262576 2356850 2828220 3535275 3770960 4525152 4713700 5656440 5892125 7070550 7541920 9427400 11312880 11784250 14141100 17676375 18854800 22625760 23568500 28282200 29460625 35352750 37709600 47137000 56564400 58921250 70705500 88381875 94274000 113128800 117842500 141411000 147303125 176763750 188548000 235685000 282822000 294606250 353527500 441909375 471370000 565644000 589212500 707055000 883818750 942740000 1178425000 1414110000 1767637500 2356850000 2828220000 3535275000 4713700000 7070550000 14141100000