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14444321100 = 22352114377067
BaseRepresentation
bin11010111001111001…
…01101100101001100
31101021122112112112120
431130330231211030
5214040221233400
610345143532540
71020641463216
oct153474554514
941248475476
1014444321100
116142496260
12297145a150
13149269aa81
149b04d75b6
1559814dca0
hex35cf2d94c

14444321100 has 72 divisors (see below), whose sum is σ = 45591540288. Its totient is φ = 3501652800.

The previous prime is 14444321093. The next prime is 14444321117. The reversal of 14444321100 is 112344441.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2185234 + ... + 2191833.

Almost surely, 214444321100 is an apocalyptic number.

14444321100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14444321100 is an abundant number, since it is smaller than the sum of its proper divisors (31147219188).

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

14444321100 is a wasteful number, since it uses less digits than its factorization.

14444321100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4377095 (or 4377088 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 14444321100 its reverse (112344441), we get a palindrome (14556665541).

The spelling of 14444321100 in words is "fourteen billion, four hundred forty-four million, three hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 4377067 8754134 13131201 17508268 21885335 26262402 43770670 48147737 52524804 65656005 87541340 96295474 109426675 131312010 144443211 192590948 218853350 240738685 262624020 288886422 328280025 437706700 481477370 577772844 656560050 722216055 962954740 1203693425 1313120100 1444432110 2407386850 2888864220 3611080275 4814773700 7222160550 14444321100