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42516246040 = 2351961917089
BaseRepresentation
bin100111100110001010…
…100110111000011000
311001202000211002011021
4213212022212320120
51144033124333130
631310502412224
73033410062042
oct474612467030
9131660732137
1042516246040
1117038348a24
1282a6731074
13401747c548
1420b484aa92
15118c87137a
hex9e62a6e18

42516246040 has 64 divisors (see below), whose sum is σ = 102347244000. Its totient is φ = 15847280640.

The previous prime is 42516246037. The next prime is 42516246041. The reversal of 42516246040 is 4064261524.

It is a junction number, because it is equal to n+sod(n) for n = 42516245987 and 42516246005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42516246041) 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 15 ways as a sum of consecutive naturals, for example, 412185 + ... + 504904.

Almost surely, 242516246040 is an apocalyptic number.

42516246040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42516246040 is an abundant number, since it is smaller than the sum of its proper divisors (59830997960).

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

42516246040 is a wasteful number, since it uses less digits than its factorization.

42516246040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917180 (or 917176 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The spelling of 42516246040 in words is "forty-two billion, five hundred sixteen million, two hundred forty-six thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 61 76 95 122 152 190 244 305 380 488 610 760 1159 1220 2318 2440 4636 5795 9272 11590 23180 46360 917089 1834178 3668356 4585445 7336712 9170890 17424691 18341780 34849382 36683560 55942429 69698764 87123455 111884858 139397528 174246910 223769716 279712145 348493820 447539432 559424290 696987640 1062906151 1118848580 2125812302 2237697160 4251624604 5314530755 8503249208 10629061510 21258123020 42516246040