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42342413342550 = 23521732576348997
BaseRepresentation
bin10011010000010100111001…
…00000011001011101010110
312112220220011120212221010120
421220022130200121131112
521022214230303430200
6230015500335332410
711630065321662156
oct1150123440313526
9175826146787116
1042342413342550
1112545353516172
1248ba2b0681106
131a81b459baa19
14a65552dac766
154d6653b9e9a0
hex26829c819756

42342413342550 has 96 divisors (see below), whose sum is σ = 106027149176352. Its totient is φ = 11182359674880.

The previous prime is 42342413342549. The next prime is 42342413342609. The reversal of 42342413342550 is 5524331424324.

It is a super-3 number, since 3×423424133425503 (a number of 42 digits) contains 333 as substring.

It is a congruent number.

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, 3494652 + ... + 9843648.

It is an arithmetic number, because the mean of its divisors is an integer number (1104449470587).

Almost surely, 242342413342550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42342413342550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53013574588176).

42342413342550 is an abundant number, since it is smaller than the sum of its proper divisors (63684735833802).

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

42342413342550 is a wasteful number, since it uses less digits than its factorization.

42342413342550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6349442 (or 6349437 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 42.

Adding to 42342413342550 its reverse (5524331424324), we get a palindrome (47866744766874).

The spelling of 42342413342550 in words is "forty-two trillion, three hundred forty-two billion, four hundred thirteen million, three hundred forty-two thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 173 257 346 514 519 771 865 1038 1285 1542 1730 2570 2595 3855 4325 5190 6425 7710 8650 12850 12975 19275 25950 38550 44461 88922 133383 222305 266766 444610 666915 1111525 1333830 2223050 3334575 6348997 6669150 12697994 19046991 31744985 38093982 63489970 95234955 158724925 190469910 317449850 476174775 952349550 1098376481 1631692229 2196752962 3263384458 3295129443 4895076687 5491882405 6590258886 8158461145 9790153374 10983764810 16316922290 16475647215 24475383435 27459412025 32951294430 40792305725 48950766870 54918824050 81584611450 82378236075 122376917175 164756472150 244753834350 282282755617 564565511234 846848266851 1411413778085 1693696533702 2822827556170 4234241334255 7057068890425 8468482668510 14114137780850 21171206671275 42342413342550