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14104440240 = 24351119281189
BaseRepresentation
bin11010010001011000…
…01010110110110000
31100101221222210122120
431020230022312300
5212341214041430
610251323034240
71006343523012
oct151054126660
940357883576
1014104440240
115a88652790
12289766b980
13143a148737
1497b3021b2
155783b3610
hex348b0adb0

14104440240 has 160 divisors (see below), whose sum is σ = 50209286400. Its totient is φ = 3239285760.

The previous prime is 14104440209. The next prime is 14104440241. The reversal of 14104440240 is 4204440141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14104440240.

It is not an unprimeable number, because it can be changed into a prime (14104440241) 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, 90435 + ... + 190754.

It is an arithmetic number, because the mean of its divisors is an integer number (313808040).

Almost surely, 214104440240 is an apocalyptic number.

14104440240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14104440240 is an abundant number, since it is smaller than the sum of its proper divisors (36104846160).

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

14104440240 is a wasteful number, since it uses less digits than its factorization.

14104440240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281235 (or 281229 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 14104440240 its reverse (4204440141), we get a palindrome (18308880381).

Subtracting from 14104440240 its reverse (4204440141), we obtain a palindrome (9900000099).

The spelling of 14104440240 in words is "fourteen billion, one hundred four million, four hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 19 20 22 24 30 33 38 40 44 48 55 57 60 66 76 80 88 95 110 114 120 132 152 165 176 190 209 220 228 240 264 285 304 330 380 418 440 456 528 570 627 660 760 836 880 912 1045 1140 1254 1320 1520 1672 2090 2280 2508 2640 3135 3344 4180 4560 5016 6270 8360 10032 12540 16720 25080 50160 281189 562378 843567 1124756 1405945 1687134 2249512 2811890 3093079 3374268 4217835 4499024 5342591 5623780 6186158 6748536 8435670 9279237 10685182 11247560 12372316 13497072 15465395 16027773 16871340 18558474 21370364 22495120 24744632 26712955 30930790 32055546 33742680 37116948 42740728 46396185 49489264 53425910 58768501 61861580 64111092 67485360 74233896 80138865 85481456 92792370 106851820 117537002 123723160 128222184 148467792 160277730 176305503 185584740 213703640 235074004 247446320 256444368 293842505 320555460 352611006 371169480 427407280 470148008 587685010 641110920 705222012 742338960 881527515 940296016 1175370020 1282221840 1410444024 1763055030 2350740040 2820888048 3526110060 4701480080 7052220120 14104440240