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14304305054440 = 23519432551171583
BaseRepresentation
bin1101000000100111101100…
…0001011000001011101000
31212122110220121120101222101
43100021323001120023220
53333330204043220230
650231150152303144
73004311004550152
oct320117301301350
955573817511871
1014304305054440
114615470322015
12173032a9a1ab4
137c9b7595183b
14376491251ad2
1519c14b4ddaca
hexd027b0582e8

14304305054440 has 128 divisors (see below), whose sum is σ = 34680283545600. Its totient is φ = 5292412473600.

The previous prime is 14304305054407. The next prime is 14304305054509. The reversal of 14304305054440 is 4445050340341.

It is a super-2 number, since 2×143043050544402 (a number of 27 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 14304305054440.

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, 83280889 + ... + 83452471.

It is an arithmetic number, because the mean of its divisors is an integer number (270939715200).

Almost surely, 214304305054440 is an apocalyptic number.

14304305054440 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 14304305054440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17340141772800).

14304305054440 is an abundant number, since it is smaller than the sum of its proper divisors (20375978491160).

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

14304305054440 is a wasteful number, since it uses less digits than its factorization.

14304305054440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174207 (or 174203 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 37.

Adding to 14304305054440 its reverse (4445050340341), we get a palindrome (18749355394781).

The spelling of 14304305054440 in words is "fourteen trillion, three hundred four billion, three hundred five million, fifty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 43 76 86 95 152 172 190 215 344 380 430 760 817 860 1634 1720 2551 3268 4085 5102 6536 8170 10204 12755 16340 20408 25510 32680 48469 51020 96938 102040 109693 171583 193876 219386 242345 343166 387752 438772 484690 548465 686332 857915 877544 969380 1096930 1372664 1715830 1938760 2084167 2193860 3260077 3431660 4168334 4387720 6520154 6863320 7378069 8336668 10420835 13040308 14756138 16300385 16673336 20841670 26080616 29512276 32600770 36890345 41683340 59024552 65201540 73780690 83366680 130403080 140183311 147561380 280366622 295122760 437708233 560733244 700916555 875416466 1121466488 1401833110 1750832932 2188541165 2803666220 3501665864 4377082330 5607332440 8316456427 8754164660 16632912854 17508329320 18821454019 33265825708 37642908038 41582282135 66531651416 75285816076 83164564270 94107270095 150571632152 166329128540 188214540190 332658257080 357607626361 376429080380 715215252722 752858160760 1430430505444 1788038131805 2860861010888 3576076263610 7152152527220 14304305054440