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14144100 = 2235247147
BaseRepresentation
bin110101111101…
…001001100100
3222121121001120
4311331021210
512110102400
61223053540
7231136305
oct65751144
928547046
1014144100
117a90743
1248a12b0
132c12bb9
141c427ac
151395ca0
hexd7d264

14144100 has 36 divisors (see below), whose sum is σ = 40924464. Its totient is φ = 3771680.

The previous prime is 14144099. The next prime is 14144111. The reversal of 14144100 is 144141.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 14144100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23274 + ... + 23873.

Almost surely, 214144100 is an apocalyptic number.

14144100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14144100 is an abundant number, since it is smaller than the sum of its proper divisors (26780364).

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

14144100 is a wasteful number, since it uses less digits than its factorization.

14144100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47164 (or 47157 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 14144100 is about 3760.8642623737. The cubic root of 14144100 is about 241.8383137810.

Adding to 14144100 its reverse (144141), we get a palindrome (14288241).

The spelling of 14144100 in words is "fourteen million, one hundred forty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 47147 94294 141441 188588 235735 282882 471470 565764 707205 942940 1178675 1414410 2357350 2828820 3536025 4714700 7072050 14144100