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2442430042020 = 2232519898024279
BaseRepresentation
bin100011100010101100001…
…011001100111110100100
322122111100011000200102200
4203202230023030332210
5310004044042321040
65110011544134500
7341313456545343
oct43425413147644
98574304020380
102442430042020
118619130a2811
12335438a67430
1314942152ba47
14862ddc5db5a
15437ee8ba630
hex238ac2ccfa4

2442430042020 has 144 divisors (see below), whose sum is σ = 7886262384000. Its totient is φ = 610101904896.

The previous prime is 2442430041979. The next prime is 2442430042051. The reversal of 2442430042020 is 202400342442.

2442430042020 is a `hidden beast` number, since 2 + 4 + 424 + 30 + 0 + 4 + 202 + 0 = 666.

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, 3707760 + ... + 4316519.

It is an arithmetic number, because the mean of its divisors is an integer number (54765711000).

Almost surely, 22442430042020 is an apocalyptic number.

2442430042020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2442430042020 is an abundant number, since it is smaller than the sum of its proper divisors (5443832341980).

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

2442430042020 is a wasteful number, since it uses less digits than its factorization.

2442430042020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8024402 (or 8024397 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 2442430042020 its reverse (202400342442), we get a palindrome (2644830384462).

The spelling of 2442430042020 in words is "two trillion, four hundred forty-two billion, four hundred thirty million, forty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 89 90 95 114 171 178 180 190 228 267 285 342 356 380 445 534 570 684 801 855 890 1068 1140 1335 1602 1691 1710 1780 2670 3204 3382 3420 4005 5073 5340 6764 8010 8455 10146 15219 16020 16910 20292 25365 30438 33820 50730 60876 76095 101460 152190 304380 8024279 16048558 24072837 32097116 40121395 48145674 72218511 80242790 96291348 120364185 144437022 152461301 160485580 240728370 288874044 304922602 361092555 457383903 481456740 609845204 714160831 722185110 762306505 914767806 1372151709 1428321662 1444370220 1524613010 1829535612 2142482493 2286919515 2744303418 2856643324 3049226020 3570804155 4284964986 4573839030 5488606836 6427447479 6860758545 7141608310 8569929972 9147678060 10712412465 12854894958 13569055789 13721517090 14283216620 21424824930 25709789916 27138111578 27443034180 32137237395 40707167367 42849649860 54276223156 64274474790 67845278945 81414334734 122121502101 128548949580 135690557890 162828669468 203535836835 244243004202 271381115780 407071673670 488486008404 610607510505 814143347340 1221215021010 2442430042020