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14004441330 = 2351129250461
BaseRepresentation
bin11010000101011101…
…01101000011110010
31100010222211022221020
431002232231003302
5212140114110310
610233351440310
71004020534005
oct150256550362
940128738836
1014004441330
115a37162060
12286a086096
131422505599
1496bd1153c
1556e70e170
hex342bad0f2

14004441330 has 96 divisors (see below), whose sum is σ = 37974875328. Its totient is φ = 3277881600.

The previous prime is 14004441313. The next prime is 14004441331. The reversal of 14004441330 is 3314440041.

14004441330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×140044413302 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14004441330.

It is not an unprimeable number, because it can be changed into a prime (14004441331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 252300 + ... + 302760.

It is an arithmetic number, because the mean of its divisors is an integer number (395571618).

Almost surely, 214004441330 is an apocalyptic number.

14004441330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14004441330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18987437664).

14004441330 is an abundant number, since it is smaller than the sum of its proper divisors (23970433998).

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

14004441330 is a wasteful number, since it uses less digits than its factorization.

14004441330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50540 (or 50511 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 14004441330 its reverse (3314440041), we get a palindrome (17318881371).

The spelling of 14004441330 in words is "fourteen billion, four million, four hundred forty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 29 30 33 55 58 66 87 110 145 165 174 290 319 330 435 638 841 870 957 1595 1682 1914 2523 3190 4205 4785 5046 8410 9251 9570 12615 18502 25230 27753 46255 50461 55506 92510 100922 138765 151383 252305 277530 302766 504610 555071 756915 1110142 1463369 1513830 1665213 2775355 2926738 3330426 4390107 5550710 7316845 8326065 8780214 14633690 16097059 16652130 21950535 32194118 42437701 43901070 48291177 80485295 84875402 96582354 127313103 160970590 212188505 241455885 254626206 424377010 466814711 482911770 636565515 933629422 1273131030 1400444133 2334073555 2800888266 4668147110 7002220665 14004441330