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42426522562424 = 237111313813836363
BaseRepresentation
bin10011010010110001100011…
…10011100110111101111000
312120012221021022020000002012
421221120301303212331320
521030104004233444144
6230122250404025052
711636133531362510
oct1151306163467570
9176187238200065
1042426522562424
1112577a94a24a30
124912664692188
131a89a5b265490
14a696517ac840
154d8927cb9e9e
hex269631ce6f78

42426522562424 has 128 divisors (see below), whose sum is σ = 106885397767680. Its totient is φ = 15247237132800.

The previous prime is 42426522562399. The next prime is 42426522562469.

42426522562424 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9140867 + ... + 12977229.

It is an arithmetic number, because the mean of its divisors is an integer number (835042170060).

Almost surely, 242426522562424 is an apocalyptic number.

42426522562424 is a gapful number since it is divisible by the number (44) 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 42426522562424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53442698883840).

42426522562424 is an abundant number, since it is smaller than the sum of its proper divisors (64458875205256).

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

42426522562424 is a wasteful number, since it uses less digits than its factorization.

42426522562424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3837781 (or 3837777 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 50.

The spelling of 42426522562424 in words is "forty-two trillion, four hundred twenty-six billion, five hundred twenty-two million, five hundred sixty-two thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 286 308 364 572 616 728 1001 1144 1381 2002 2762 4004 5524 8008 9667 11048 15191 17953 19334 30382 35906 38668 60764 71812 77336 106337 121528 125671 143624 197483 212674 251342 394966 425348 502684 789932 850696 1005368 1382381 1579864 2764762 3836363 5529524 7672726 11059048 15345452 26854541 30690904 42199993 49872719 53709082 84399986 99745438 107418164 168799972 199490876 214836328 295399951 337599944 349109033 398981752 548599909 590799902 698218066 1097199818 1181599804 1396436132 2194399636 2363199608 2792872264 3840199363 4388799272 5298017303 7680398726 10596034606 15360797452 21192069212 30721594904 37086121121 42384138424 58278190333 68874224939 74172242242 116556380666 137748449878 148344484484 233112761332 275496899756 296688968968 407947332331 466225522664 482119574573 550993799512 757616474329 815894664662 964239149146 1515232948658 1631789329324 1928478298292 3030465897316 3263578658648 3856956596584 5303315320303 6060931794632 10606630640606 21213261281212 42426522562424