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42320424440 = 23571943118457
BaseRepresentation
bin100111011010011111…
…100110110111111000
311001020101100022102102
4213122133212313320
51143133012040230
631235225322532
73025511446430
oct473237466770
9131211308372
1042320424440
1116a4785a298
128251036448
133cb5a29088
1420968352c0
15117a590045
hex9da7e6df8

42320424440 has 128 divisors (see below), whose sum is σ = 114823526400. Its totient is φ = 13713546240.

The previous prime is 42320424439. The next prime is 42320424451. The reversal of 42320424440 is 4442402324.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2283692 + ... + 2302148.

It is an arithmetic number, because the mean of its divisors is an integer number (897058800).

Almost surely, 242320424440 is an apocalyptic number.

42320424440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42320424440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57411763200).

42320424440 is an abundant number, since it is smaller than the sum of its proper divisors (72503101960).

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

42320424440 is a wasteful number, since it uses less digits than its factorization.

42320424440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18925 (or 18921 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 29.

Adding to 42320424440 its reverse (4442402324), we get a palindrome (46762826764).

The spelling of 42320424440 in words is "forty-two billion, three hundred twenty million, four hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 380 431 532 665 760 862 1064 1330 1724 2155 2660 3017 3448 4310 5320 6034 8189 8620 12068 15085 16378 17240 18457 24136 30170 32756 36914 40945 57323 60340 65512 73828 81890 92285 114646 120680 129199 147656 163780 184570 229292 258398 286615 327560 350683 369140 458584 516796 573230 645995 701366 738280 1033592 1146460 1291990 1402732 1753415 2292920 2454781 2583980 2805464 3506830 4909562 5167960 7013660 7954967 9819124 12273905 14027320 15909934 19638248 24547810 31819868 39774835 49095620 55684769 63639736 79549670 98191240 111369538 151144373 159099340 222739076 278423845 302288746 318198680 445478152 556847690 604577492 755721865 1058010611 1113695380 1209154984 1511443730 2116021222 2227390760 3022887460 4232042444 5290053055 6045774920 8464084888 10580106110 21160212220 42320424440