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14444040 = 23351347197
BaseRepresentation
bin110111000110…
…011000001000
31000011211111110
4313012120020
512144202130
61233330320
7233525622
oct67063010
930154443
1014444040
118176026
124a069a0
132cb9590
141cbdc12
151404ab0
hexdc6608

14444040 has 128 divisors (see below), whose sum is σ = 47900160. Its totient is φ = 3462144.

The previous prime is 14443987. The next prime is 14444057. The reversal of 14444040 is 4044441.

It is a junction number, because it is equal to n+sod(n) for n = 14443998 and 14444016.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73222 + ... + 73418.

It is an arithmetic number, because the mean of its divisors is an integer number (374220).

Almost surely, 214444040 is an apocalyptic number.

14444040 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 14444040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23950080).

14444040 is an abundant number, since it is smaller than the sum of its proper divisors (33456120).

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

14444040 is a wasteful number, since it uses less digits than its factorization.

14444040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 14444040 is about 3800.5315417715. The cubic root of 14444040 is about 243.5358460918.

Adding to 14444040 its reverse (4044441), we get a palindrome (18488481).

The spelling of 14444040 in words is "fourteen million, four hundred forty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 47 52 60 65 78 94 104 120 130 141 156 188 195 197 235 260 282 312 376 390 394 470 520 564 591 611 705 780 788 940 985 1128 1182 1222 1410 1560 1576 1833 1880 1970 2364 2444 2561 2820 2955 3055 3666 3940 4728 4888 5122 5640 5910 6110 7332 7683 7880 9165 9259 10244 11820 12220 12805 14664 15366 18330 18518 20488 23640 24440 25610 27777 30732 36660 37036 38415 46295 51220 55554 61464 73320 74072 76830 92590 102440 111108 120367 138885 153660 185180 222216 240734 277770 307320 361101 370360 481468 555540 601835 722202 962936 1111080 1203670 1444404 1805505 2407340 2888808 3611010 4814680 7222020 14444040