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244222410221240 = 2351116372203153911
BaseRepresentation
bin110111100001111001110110…
…000000011110011010111000
31012000201102201200022122112112
4313201321312000132122320
5224002314444004034430
62223230120522431452
7102304325665152443
oct6741716600363270
91160642650278475
10244222410221240
11708a9162783090
1223483b33062588
13a6370c77a2c79
1444445db96665a
151d37bba84b195
hexde1e7601e6b8

244222410221240 has 128 divisors (see below), whose sum is σ = 600097371793920. Its totient is φ = 88713034483200.

The previous prime is 244222410221201. The next prime is 244222410221249. The reversal of 244222410221240 is 42122014222442.

It is a happy number.

It is a super-3 number, since 3×2442224102212403 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 244222410221197 and 244222410221206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244222410221249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1586699885 + ... + 1586853795.

It is an arithmetic number, because the mean of its divisors is an integer number (4688260717140).

Almost surely, 2244222410221240 is an apocalyptic number.

244222410221240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

244222410221240 is an abundant number, since it is smaller than the sum of its proper divisors (355874961572680).

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

244222410221240 is a wasteful number, since it uses less digits than its factorization.

244222410221240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157773 (or 157769 counting only the distinct ones).

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

Adding to 244222410221240 its reverse (42122014222442), we get a palindrome (286344424443682).

The spelling of 244222410221240 in words is "two hundred forty-four trillion, two hundred twenty-two billion, four hundred ten million, two hundred twenty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 1637 2203 3274 4406 6548 8185 8812 11015 13096 16370 17624 18007 22030 24233 32740 36014 44060 48466 65480 72028 88120 90035 96932 121165 144056 153911 180070 193864 242330 307822 360140 484660 615644 720280 769555 969320 1231288 1539110 1693021 3078220 3386042 3606311 6156440 6772084 7212622 8465105 13544168 14425244 16930210 18031555 28850488 33860420 36063110 39669421 67720840 72126220 79338842 144252440 158677684 198347105 251952307 317355368 339065933 396694210 503904614 678131866 793388420 1007809228 1259761535 1356263732 1586776840 1695329665 2015618456 2519523070 2712527464 2771475377 3390659330 3729725263 5039046140 5542950754 6781318660 7459450526 10078092280 11085901508 13562637320 13857376885 14918901052 18648626315 22171803016 27714753770 29837802104 37297252630 55429507540 74594505260 110859015080 149189010520 555050932321 1110101864642 2220203729284 2775254661605 4440407458568 5550509323210 6105560255531 11101018646420 12211120511062 22202037292840 24422241022124 30527801277655 48844482044248 61055602555310 122111205110620 244222410221240