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14003441300 = 22521374012549
BaseRepresentation
bin11010000101010101…
…11000111010010100
31100010220221112011002
431002222320322110
5212134340110200
610233314202432
71004006200322
oct150252707224
940126845132
1014003441300
115a36639792
122869883418
131422245354
1496bb30d12
1556e5b2bd5
hex342ab8e94

14003441300 has 72 divisors (see below), whose sum is σ = 30697644600. Its totient is φ = 5544448000.

The previous prime is 14003441209. The next prime is 14003441327. The reversal of 14003441300 is 314430041.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 155800324 + 13847640976 = 12482^2 + 117676^2 .

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 23 ways as a sum of consecutive naturals, for example, 5492426 + ... + 5494974.

It is an arithmetic number, because the mean of its divisors is an integer number (426356175).

Almost surely, 214003441300 is an apocalyptic number.

14003441300 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 14003441300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15348822300).

14003441300 is an abundant number, since it is smaller than the sum of its proper divisors (16694203300).

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

14003441300 is a wasteful number, since it uses less digits than its factorization.

14003441300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3101 (or 3094 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 14003441300 its reverse (314430041), we get a palindrome (14317871341).

The spelling of 14003441300 in words is "fourteen billion, three million, four hundred forty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 137 274 401 548 685 802 1370 1604 2005 2549 2740 3425 4010 5098 6850 8020 10025 10196 12745 13700 20050 25490 40100 50980 54937 63725 109874 127450 219748 254900 274685 349213 549370 698426 1022149 1098740 1373425 1396852 1746065 2044298 2746850 3492130 4088596 5110745 5493700 6984260 8730325 10221490 17460650 20442980 25553725 34921300 51107450 102214900 140034413 280068826 560137652 700172065 1400344130 2800688260 3500860325 7001720650 14003441300