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243433023124140 = 223258211709996337
BaseRepresentation
bin110111010110011010101010…
…110111101011001010101100
31011220220222011221020020101200
4313112122222313223022230
5223401401312404433030
62221423330441405500
7102163312150431333
oct6726325267531254
91156828157206350
10243433023124140
11706244022a4423
1223376b4aa99890
13a5aa8354a95c5
144418314d08d1a
151d223b9132d60
hexdd66aadeb2ac

243433023124140 has 144 divisors (see below), whose sum is σ = 739363822797600. Its totient is φ = 64831939246080.

The previous prime is 243433023124127. The next prime is 243433023124153. The reversal of 243433023124140 is 41421320334342.

243433023124140 is a `hidden beast` number, since 2 + 4 + 3 + 4 + 3 + 3 + 0 + 231 + 2 + 414 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (243433023124127) and next prime (243433023124153).

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 = 243433023124095 and 243433023124104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2526842052 + ... + 2526938388.

It is an arithmetic number, because the mean of its divisors is an integer number (5134470991650).

Almost surely, 2243433023124140 is an apocalyptic number.

243433023124140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

243433023124140 is an abundant number, since it is smaller than the sum of its proper divisors (495930799673460).

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

243433023124140 is a wasteful number, since it uses less digits than its factorization.

243433023124140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114272 (or 114267 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 243433023124140 its reverse (41421320334342), we get a palindrome (284854343458482).

The spelling of 243433023124140 in words is "two hundred forty-three trillion, four hundred thirty-three billion, twenty-three million, one hundred twenty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 821 1642 2463 3284 4105 4926 7389 8210 9852 12315 14778 16420 17099 24630 29556 34198 36945 49260 51297 68396 73890 85495 96337 102594 147780 153891 170990 192674 205188 256485 289011 307782 341980 385348 481685 512970 578022 615564 769455 867033 963370 1025940 1156044 1445055 1538910 1734066 1926740 2890110 3077820 3468132 4335165 5780220 8670330 14038279 17340660 28076558 42114837 56153116 70191395 79092677 84229674 126344511 140382790 158185354 168459348 210574185 237278031 252689022 280765580 316370708 395463385 421148370 474556062 505378044 631722555 711834093 790926770 842296740 949112124 1186390155 1263445110 1423668186 1581853540 1647266363 2372780310 2526890220 2847336372 3294532726 3559170465 4745560620 4941799089 6589065452 7118340930 8236331815 9883598178 14236681860 14825397267 16472663630 19767196356 24708995445 29650794534 32945327260 49417990890 59301589068 74126986335 98835981780 148253972670 296507945340 1352405684023 2704811368046 4057217052069 5409622736092 6762028420115 8114434104138 12171651156207 13524056840230 16228868208276 20286085260345 24343302312414 27048113680460 40572170520690 48686604624828 60858255781035 81144341041380 121716511562070 243433023124140