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242440330440 = 233571126238131
BaseRepresentation
bin1110000111001010010…
…0011101110011001000
3212011210002020212000210
43201302210131303020
512433004211033230
6303213041401120
723341616543550
oct3416244356310
9764702225023
10242440330440
1193900278660
123aba09391a0
1319b28b3b439
14ba3c80a160
15648e2ebeb0
hex387291dcc8

242440330440 has 128 divisors (see below), whose sum is σ = 906789841920. Its totient is φ = 50377209600.

The previous prime is 242440330387. The next prime is 242440330463. The reversal of 242440330440 is 44033044242.

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 = 242440330398 and 242440330407.

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, 13109826 + ... + 13128305.

It is an arithmetic number, because the mean of its divisors is an integer number (7084295640).

Almost surely, 2242440330440 is an apocalyptic number.

242440330440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242440330440 is an abundant number, since it is smaller than the sum of its proper divisors (664349511480).

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

242440330440 is a wasteful number, since it uses less digits than its factorization.

242440330440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26238163 (or 26238159 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 242440330440 its reverse (44033044242), we get a palindrome (286473374682).

The spelling of 242440330440 in words is "two hundred forty-two billion, four hundred forty million, three hundred thirty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1320 1540 1848 2310 3080 4620 9240 26238131 52476262 78714393 104952524 131190655 157428786 183666917 209905048 262381310 288619441 314857572 367333834 393571965 524762620 551000751 577238882 629715144 734667668 787143930 865858323 918334585 1049525240 1102001502 1154477764 1443097205 1469335336 1574287860 1731716646 1836669170 2020336087 2204003004 2308955528 2755003755 2886194410 3148575720 3463433292 3673338340 4040672174 4329291615 4408006008 5510007510 5772388820 6061008261 6926866584 7346676680 8081344348 8658583230 10101680435 11020015020 11544777640 12122016522 16162688696 17317166460 20203360870 22040030040 24244033044 30305041305 34634332920 40406721740 48488066088 60610082610 80813443480 121220165220 242440330440