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242220440440 = 235114671178803
BaseRepresentation
bin1110000110010101110…
…1101001101101111000
3212011012202111021122201
43201211131221231320
512432031413043230
6303135144355544
723333306526046
oct3414535515570
9764182437581
10242220440440
11937a813aa90
123ab3b175bb4
1319ac240bb04
14ba1b52b396
156479d645ca
hex3865769b78

242220440440 has 64 divisors (see below), whose sum is σ = 595814693760. Its totient is φ = 87891477120.

The previous prime is 242220440401. The next prime is 242220440443. The reversal of 242220440440 is 44044022242.

It is a junction number, because it is equal to n+sod(n) for n = 242220440399 and 242220440408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242220440443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 383922 + ... + 794881.

It is an arithmetic number, because the mean of its divisors is an integer number (9309604590).

Almost surely, 2242220440440 is an apocalyptic number.

242220440440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242220440440 is an abundant number, since it is smaller than the sum of its proper divisors (353594253320).

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

242220440440 is a wasteful number, since it uses less digits than its factorization.

242220440440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179292 (or 1179288 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 242220440440 its reverse (44044022242), we get a palindrome (286264462682).

The spelling of 242220440440 in words is "two hundred forty-two billion, two hundred twenty million, four hundred forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 467 934 1868 2335 3736 4670 5137 9340 10274 18680 20548 25685 41096 51370 102740 205480 1178803 2357606 4715212 5894015 9430424 11788030 12966833 23576060 25933666 47152120 51867332 64834165 103734664 129668330 259336660 518673320 550501001 1101002002 2202004004 2752505005 4404008008 5505010010 6055511011 11010020020 12111022022 22020040040 24222044044 30277555055 48444088088 60555110110 121110220220 242220440440