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42240335340 = 22357243334127
BaseRepresentation
bin100111010101101110…
…000101110111101100
311001000210122100211110
4213111232011313230
51143002011212330
631223244552020
73023516632500
oct472556056754
9131023570743
1042240335340
1116a06628155
12822a252610
133ca2267288
142089d48300
15117351edb0
hex9d5b85dec

42240335340 has 144 divisors (see below), whose sum is σ = 140782828032. Its totient is φ = 9430372224.

The previous prime is 42240335339. The next prime is 42240335359. The reversal of 42240335340 is 4353304224.

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 = 42240335298 and 42240335307.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40644 + ... + 293483.

It is an arithmetic number, because the mean of its divisors is an integer number (977658528).

Almost surely, 242240335340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42240335340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70391414016).

42240335340 is an abundant number, since it is smaller than the sum of its proper divisors (98542492692).

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

42240335340 is a wasteful number, since it uses less digits than its factorization.

42240335340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334196 (or 334187 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 30.

Adding to 42240335340 its reverse (4353304224), we get a palindrome (46593639564).

The spelling of 42240335340 in words is "forty-two billion, two hundred forty million, three hundred thirty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 43 49 60 70 84 86 98 105 129 140 147 172 196 210 215 245 258 294 301 420 430 490 516 588 602 645 735 860 903 980 1204 1290 1470 1505 1806 2107 2580 2940 3010 3612 4214 4515 6020 6321 8428 9030 10535 12642 18060 21070 25284 31605 42140 63210 126420 334127 668254 1002381 1336508 1670635 2004762 2338889 3341270 4009524 4677778 5011905 6682540 7016667 9355556 10023810 11694445 14033334 14367461 16372223 20047620 23388890 28066668 28734922 32744446 35083335 43102383 46777780 49116669 57469844 65488892 70166670 71837305 81861115 86204766 98233338 100572227 140333340 143674610 163722230 172409532 196466676 201144454 215511915 245583345 287349220 301716681 327444460 402288908 431023830 491166690 502861135 603433362 704005589 862047660 982333380 1005722270 1206866724 1408011178 1508583405 2011444540 2112016767 2816022356 3017166810 3520027945 4224033534 6034333620 7040055890 8448067068 10560083835 14080111780 21120167670 42240335340