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114404333124240 = 24335129749408211
BaseRepresentation
bin11010000000110011010101…
…101000101111101010010000
3120000001221120200100101001000
4122000303111220233222100
5104443400033234433430
61043152343003542000
733045304011420165
oct3200632550575220
9500057520311030
10114404333124240
11334a8672596575
12109b83ab82a900
134bab389354763
1420372b0b1006c
15d35dbc6dee60
hex680cd5a2fa90

114404333124240 has 160 divisors (see below), whose sum is σ = 394063372080000. Its totient is φ = 30507512302080.

The previous prime is 114404333124217. The next prime is 114404333124253. The reversal of 114404333124240 is 42421333404411.

114404333124240 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 0 + 43 + 331 + 242 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 114404333124195 and 114404333124204.

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, 280053735 + ... + 280461945.

It is an arithmetic number, because the mean of its divisors is an integer number (2462896075500).

Almost surely, 2114404333124240 is an apocalyptic number.

114404333124240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114404333124240 is an abundant number, since it is smaller than the sum of its proper divisors (279659038955760).

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

114404333124240 is a wasteful number, since it uses less digits than its factorization.

114404333124240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537982 (or 537970 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 114404333124240 its reverse (42421333404411), we get a palindrome (156825666528651).

The spelling of 114404333124240 in words is "one hundred fourteen trillion, four hundred four billion, three hundred thirty-three million, one hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 129749 259498 389247 408211 518996 648745 778494 816422 1037992 1167741 1224633 1297490 1556988 1632844 1946235 2041055 2075984 2335482 2449266 2594980 3113976 3265688 3503223 3673899 3892470 4082110 4670964 4898532 5189960 5838705 6123165 6227952 6531376 7006446 7347798 7784940 8164220 9341928 9797064 10379920 11021697 11677410 12246330 14012892 14695596 15569880 16328440 17516115 18369495 18683856 19594128 22043394 23354820 24492660 28025784 29391192 31139760 32656880 35032230 36738990 44086788 46709640 48985320 55108485 56051568 58782384 70064460 73477980 88173576 93419280 97970640 110216970 140128920 146955960 176347152 220433940 280257840 293911920 440867880 881735760 52964969039 105929938078 158894907117 211859876156 264824845195 317789814234 423719752312 476684721351 529649690390 635579628468 794474535585 847439504624 953369442702 1059299380780 1271159256936 1430054164053 1588949071170 1906738885404 2118598761560 2383423606755 2542318513872 2860108328106 3177898142340 3813477770808 4237197523120 4766847213510 5720216656212 6355796284680 7150270820265 7626955541616 9533694427020 11440433312424 12711592569360 14300541640530 19067388854040 22880866624848 28601083281060 38134777708080 57202166562120 114404333124240