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4223111231440 = 245165457319049
BaseRepresentation
bin111101011101000101000…
…010110111011111010000
3112221201120212211120212101
4331131011002313133100
51023142412433401230
612552023122010144
7614052430120453
oct75350502673720
915851525746771
104223111231440
111389014215042
125825734a6954
1324831225078a
141085849c549a
1574cbd3b1aca
hex3d7450b77d0

4223111231440 has 40 divisors (see below), whose sum is σ = 9818823731400. Its totient is φ = 1689228988416.

The previous prime is 4223111231387. The next prime is 4223111231447. The reversal of 4223111231440 is 441321113224.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 21824743824 + 4201286487616 = 147732^2 + 2049704^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×42231112314402 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4223111231399 and 4223111231408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4223111231447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13077036 + ... + 13396084.

It is an arithmetic number, because the mean of its divisors is an integer number (245470593285).

Almost surely, 24223111231440 is an apocalyptic number.

4223111231440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4223111231440 is an abundant number, since it is smaller than the sum of its proper divisors (5595712499960).

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

4223111231440 is a wasteful number, since it uses less digits than its factorization.

4223111231440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484519 (or 484513 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 4223111231440 its reverse (441321113224), we get a palindrome (4664432344664).

The spelling of 4223111231440 in words is "four trillion, two hundred twenty-three billion, one hundred eleven million, two hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 165457 319049 330914 638098 661828 827285 1276196 1323656 1595245 1654570 2552392 2647312 3190490 3309140 5104784 6380980 6618280 12761960 13236560 25523920 52788890393 105577780786 211155561572 263944451965 422311123144 527888903930 844622246288 1055777807860 2111555615720 4223111231440