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14204422111440 = 24351119283182259
BaseRepresentation
bin1100111010110011100110…
…0010001100000011010000
31212021221002121012011202010
43032230321202030003100
53330211124030031230
650113231010222520
72664143551544541
oct316547142140320
955257077164663
1014204422111440
114587074a78640
121714ab4284a40
137c06184785c2
143716d79824c8
151997526c79b0
hexceb3988c0d0

14204422111440 has 160 divisors (see below), whose sum is σ = 50565024345600. Its totient is φ = 3262259612160.

The previous prime is 14204422111409. The next prime is 14204422111447. The reversal of 14204422111440 is 4411122440241.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14204422111398 and 14204422111407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14204422111447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141540970 + ... + 141641289.

It is an arithmetic number, because the mean of its divisors is an integer number (316031402160).

Almost surely, 214204422111440 is an apocalyptic number.

14204422111440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14204422111440 is an abundant number, since it is smaller than the sum of its proper divisors (36360602234160).

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

14204422111440 is a wasteful number, since it uses less digits than its factorization.

14204422111440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283182305 (or 283182299 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

Adding to 14204422111440 its reverse (4411122440241), we get a palindrome (18615544551681).

The spelling of 14204422111440 in words is "fourteen trillion, two hundred four billion, four hundred twenty-two million, one hundred eleven thousand, four 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 283182259 566364518 849546777 1132729036 1415911295 1699093554 2265458072 2831822590 3115004849 3398187108 4247733885 4530916144 5380462921 5663645180 6230009698 6796374216 8495467770 9345014547 10760925842 11327290360 12460019396 13592748432 15575024245 16141388763 16990935540 18690029094 21521851684 22654580720 24920038792 26902314605 31150048490 32282777526 33981871080 37380058188 43043703368 46725072735 49840077584 53804629210 59185092131 62300096980 64565555052 67963742160 74760116376 80706943815 86087406736 93450145470 107609258420 118370184262 124600193960 129131110104 149520232752 161413887630 177555276393 186900290940 215218516840 236740368524 249200387920 258262220208 295925460655 322827775260 355110552786 373800581880 430437033680 473480737048 591850921310 645655550520 710221105572 747601163760 887776381965 946961474096 1183701842620 1291311101040 1420442211144 1775552763930 2367403685240 2840884422288 3551105527860 4734807370480 7102211055720 14204422111440