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1242241440440 = 2357111331025011
BaseRepresentation
bin10010000100111011010…
…111000001101010111000
311101202102221102121201112
4102010323113001222320
5130323102302043230
62350402225135452
7155514621010430
oct22047327015270
94352387377645
101242241440440
114399169a9550
1218090818a588
13901b1b4ac90
14441a667d2c0
15224a8377d95
hex1213b5c1ab8

1242241440440 has 128 divisors (see below), whose sum is σ = 3752785451520. Its totient is φ = 357408115200.

The previous prime is 1242241440403. The next prime is 1242241440449. The reversal of 1242241440440 is 440441422421.

It is a junction number, because it is equal to n+sod(n) for n = 1242241440397 and 1242241440406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1242241440449) 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, 15472466 + ... + 15552545.

It is an arithmetic number, because the mean of its divisors is an integer number (29318636340).

Almost surely, 21242241440440 is an apocalyptic number.

1242241440440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1242241440440 is an abundant number, since it is smaller than the sum of its proper divisors (2510544011080).

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

1242241440440 is a wasteful number, since it uses less digits than its factorization.

1242241440440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31025053 (or 31025049 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

Adding to 1242241440440 its reverse (440441422421), we get a palindrome (1682682862861).

The spelling of 1242241440440 in words is "one trillion, two hundred forty-two billion, two hundred forty-one million, four hundred forty thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 13 14 20 22 26 28 35 40 44 52 55 56 65 70 77 88 91 104 110 130 140 143 154 182 220 260 280 286 308 364 385 440 455 520 572 616 715 728 770 910 1001 1144 1430 1540 1820 2002 2860 3080 3640 4004 5005 5720 8008 10010 20020 40040 31025011 62050022 124100044 155125055 217175077 248200088 310250110 341275121 403325143 434350154 620500220 682550242 806650286 868700308 1085875385 1241000440 1365100484 1613300572 1706375605 1737400616 2016625715 2171750770 2388925847 2730200968 2823276001 3226601144 3412751210 4033251430 4343501540 4436576573 4777851694 5646552002 6825502420 8066502860 8687003080 8873153146 9555703388 11293104004 11944629235 13651004840 14116380005 16133005720 17746306292 19111406776 22182882865 22586208008 23889258470 28232760010 31056036011 35492612584 44365765730 47778516940 56465520020 62112072022 88731531460 95557033880 112931040040 124224144044 155280180055 177463062920 248448288088 310560360110 621120720220 1242241440440