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42440420440 = 23511175996167
BaseRepresentation
bin100111100001101001…
…010110110001011000
311001112202010201222201
4213201221112301120
51143404221423230
631255153255544
73031466423125
oct474151266130
9131482121881
1042440420440
1116aa9569040
1282852645b4
134004851222
1420a874d74c
151185d945ca
hex9e1a56c58

42440420440 has 128 divisors (see below), whose sum is σ = 112170355200. Its totient is φ = 14278727680.

The previous prime is 42440420413. The next prime is 42440420447. The reversal of 42440420440 is 4402404424.

It is a junction number, because it is equal to n+sod(n) for n = 42440420399 and 42440420408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42440420447) 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 31 ways as a sum of consecutive naturals, for example, 393237 + ... + 489403.

It is an arithmetic number, because the mean of its divisors is an integer number (876330900).

Almost surely, 242440420440 is an apocalyptic number.

42440420440 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 42440420440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56085177600).

42440420440 is an abundant number, since it is smaller than the sum of its proper divisors (69729934760).

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

42440420440 is a wasteful number, since it uses less digits than its factorization.

42440420440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96265 (or 96261 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 42440420440 its reverse (4402404424), we get a palindrome (46842824864).

The spelling of 42440420440 in words is "forty-two billion, four hundred forty million, four hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 59 68 85 88 110 118 136 170 187 220 236 295 340 374 440 472 590 649 680 748 935 1003 1180 1298 1496 1870 2006 2360 2596 3245 3740 4012 5015 5192 6490 7480 8024 10030 11033 12980 20060 22066 25960 40120 44132 55165 88264 96167 110330 192334 220660 384668 441320 480835 769336 961670 1057837 1634839 1923340 2115674 3269678 3846680 4231348 5289185 5673853 6539356 8174195 8462696 10578370 11347706 13078712 16348390 17983229 21156740 22695412 28369265 32696780 35966458 42313480 45390824 56738530 62412383 65393560 71932916 89916145 96455501 113477060 124824766 143865832 179832290 192911002 226954120 249649532 312061915 359664580 385822004 482277505 499299064 624123830 719329160 771644008 964555010 1061010511 1248247660 1929110020 2122021022 2496495320 3858220040 4244042044 5305052555 8488084088 10610105110 21220210220 42440420440