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14440104 = 2332724093
BaseRepresentation
bin110111000101…
…011010101000
31000011122002200
4313011122220
512144040404
61233300200
7233511300
oct67053250
930148080
1014440104
118173078
124a04660
132cb7853
141cbc600
151403839
hexdc56a8

14440104 has 72 divisors (see below), whose sum is σ = 45504810. Its totient is φ = 4124736.

The previous prime is 14440061. The next prime is 14440121. The reversal of 14440104 is 40104441.

14440104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 12744900 + 1695204 = 3570^2 + 1302^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1482 + ... + 5574.

Almost surely, 214440104 is an apocalyptic number.

14440104 is a gapful number since it is divisible by the number (14) 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 14440104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22752405).

14440104 is an abundant number, since it is smaller than the sum of its proper divisors (31064706).

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

14440104 is a wasteful number, since it uses less digits than its factorization.

14440104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4119 (or 4105 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 14440104 is about 3800.0136841859. The cubic root of 14440104 is about 243.5137229145.

Adding to 14440104 its reverse (40104441), we get a palindrome (54544545).

The spelling of 14440104 in words is "fourteen million, four hundred forty thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 4093 8186 12279 16372 24558 28651 32744 36837 49116 57302 73674 85953 98232 114604 147348 171906 200557 229208 257859 294696 343812 401114 515718 601671 687624 802228 1031436 1203342 1604456 1805013 2062872 2406684 3610026 4813368 7220052 14440104