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14044403220 = 22354153107719
BaseRepresentation
bin11010001010001110…
…01001011000010100
31100020210000121100020
431011013021120110
5212230331400340
610241340145140
71005014312661
oct150507113024
940223017306
1014044403220
115a57777011
12287b5381b0
13142a887983
14973354a68
15572ea49d0
hex3451c9614

14044403220 has 96 divisors (see below), whose sum is σ = 41043905280. Its totient is φ = 3584855040.

The previous prime is 14044403213. The next prime is 14044403227. The reversal of 14044403220 is 2230444041.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14044403213) and next prime (14044403227).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14044403227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76521 + ... + 184239.

It is an arithmetic number, because the mean of its divisors is an integer number (427540680).

Almost surely, 214044403220 is an apocalyptic number.

14044403220 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 14044403220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20521952640).

14044403220 is an abundant number, since it is smaller than the sum of its proper divisors (26999502060).

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

14044403220 is a wasteful number, since it uses less digits than its factorization.

14044403220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107825 (or 107823 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 14044403220 its reverse (2230444041), we get a palindrome (16274847261).

The spelling of 14044403220 in words is "fourteen billion, forty-four million, four hundred three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 53 60 82 106 123 159 164 205 212 246 265 318 410 492 530 615 636 795 820 1060 1230 1590 2173 2460 3180 4346 6519 8692 10865 13038 21730 26076 32595 43460 65190 107719 130380 215438 323157 430876 538595 646314 1077190 1292628 1615785 2154380 3231570 4416479 5709107 6463140 8832958 11418214 13249437 17127321 17665916 22082395 22836428 26498874 28545535 34254642 44164790 52997748 57091070 66247185 68509284 85636605 88329580 114182140 132494370 171273210 234073387 264988740 342546420 468146774 702220161 936293548 1170366935 1404440322 2340733870 2808880644 3511100805 4681467740 7022201610 14044403220