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4224104120440 = 235316834987607
BaseRepresentation
bin111101011110000000001…
…110011100000001111000
3112221211011002010120112001
4331132000032130001320
51023201431123323230
612552305431030344
7614116144413541
oct75360016340170
915854132116461
104224104120440
111389483721266
125827abb0b3b4
1324843cb6b069
1410863a8014c8
1574d2a63b0ca
hex3d78039c078

4224104120440 has 64 divisors (see below), whose sum is σ = 9825188751360. Its totient is φ = 1632742700160.

The previous prime is 4224104120413. The next prime is 4224104120461. The reversal of 4224104120440 is 440214014224.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4224104120399 and 4224104120408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1646884 + ... + 3340723.

It is an arithmetic number, because the mean of its divisors is an integer number (153518574240).

Almost surely, 24224104120440 is an apocalyptic number.

4224104120440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4224104120440 is an abundant number, since it is smaller than the sum of its proper divisors (5601084630920).

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

4224104120440 is a wasteful number, since it uses less digits than its factorization.

4224104120440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4988332 (or 4988328 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 4224104120440 its reverse (440214014224), we get a palindrome (4664318134664).

The spelling of 4224104120440 in words is "four trillion, two hundred twenty-four billion, one hundred four million, one hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 683 1240 1366 2732 3415 5464 6830 13660 21173 27320 42346 84692 105865 169384 211730 423460 846920 4987607 9975214 19950428 24938035 39900856 49876070 99752140 154615817 199504280 309231634 618463268 773079085 1236926536 1546158170 3092316340 3406535581 6184632680 6813071162 13626142324 17032677905 27252284648 34065355810 68130711620 105602603011 136261423240 211205206022 422410412044 528013015055 844820824088 1056026030110 2112052060220 4224104120440