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244112305440 = 25353137162119
BaseRepresentation
bin1110001101011000111…
…0100010110100100000
3212100002121100222112210
43203112032202310200
512444420222233230
6304051005522120
723431221234333
oct3432616426440
9770077328483
10244112305440
119458903a183
123b388873340
131a034354963
14bb5a8b861a
15653aeb6eb0
hex38d63a2d20

244112305440 has 96 divisors (see below), whose sum is σ = 769203630720. Its totient is φ = 65075462144.

The previous prime is 244112305439. The next prime is 244112305441. The reversal of 244112305440 is 44503211442.

It is an interprime number because it is at equal distance from previous prime (244112305439) and next prime (244112305441).

It is a tau number, because it is divible by the number of its divisors (96).

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 = 244112305398 and 244112305407.

It is not an unprimeable number, because it can be changed into a prime (244112305441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1424701 + ... + 1586819.

It is an arithmetic number, because the mean of its divisors is an integer number (8012537820).

Almost surely, 2244112305440 is an apocalyptic number.

244112305440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

244112305440 is an abundant number, since it is smaller than the sum of its proper divisors (525091325280).

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

244112305440 is a wasteful number, since it uses less digits than its factorization.

244112305440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165274 (or 165266 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 244112305440 its reverse (44503211442), we get a palindrome (288615516882).

The spelling of 244112305440 in words is "two hundred forty-four billion, one hundred twelve million, three hundred five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 3137 6274 9411 12548 15685 18822 25096 31370 37644 47055 50192 62740 75288 94110 100384 125480 150576 162119 188220 250960 301152 324238 376440 486357 501920 648476 752880 810595 972714 1296952 1505760 1621190 1945428 2431785 2593904 3242380 3890856 4863570 5187808 6484760 7781712 9727140 12969520 15563424 19454280 25939040 38908560 77817120 508567303 1017134606 1525701909 2034269212 2542836515 3051403818 4068538424 5085673030 6102807636 7628509545 8137076848 10171346060 12205615272 15257019090 16274153696 20342692120 24411230544 30514038180 40685384240 48822461088 61028076360 81370768480 122056152720 244112305440