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42342015421000 = 235345979210793
BaseRepresentation
bin10011010000010100001001…
…10010011100101001001000
312112220212010212010102101101
421220022010302130221020
521022212421421433000
6230015353042431144
711630052420465061
oct1150120462345110
9175825125112341
1042342015421000
111254516993a889
1248ba1bb3624b4
131a81ab1426499
14a655161c9568
154d662dc9be6a
hex268284c9ca48

42342015421000 has 64 divisors (see below), whose sum is σ = 99101880100080. Its totient is φ = 16933120012800.

The previous prime is 42342015420989. The next prime is 42342015421003. The reversal of 42342015421000 is 12451024324.

It can be written as a sum of positive squares in 8 ways, for example, as 5177800128484 + 37164215292516 = 2275478^2 + 6096246^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 42342015421000.

It is not an unprimeable number, because it can be changed into a prime (42342015421003) 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, 8397 + ... + 9202396.

Almost surely, 242342015421000 is an apocalyptic number.

42342015421000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42342015421000 is an abundant number, since it is smaller than the sum of its proper divisors (56759864679080).

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

42342015421000 is a wasteful number, since it uses less digits than its factorization.

42342015421000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9215411 (or 9215397 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 42342015421000 its reverse (12451024324), we get a palindrome (42354466445324).

The spelling of 42342015421000 in words is "forty-two trillion, three hundred forty-two billion, fifteen million, four hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 4597 9194 18388 22985 36776 45970 91940 114925 183880 229850 459700 574625 919400 1149250 2298500 4597000 9210793 18421586 36843172 46053965 73686344 92107930 184215860 230269825 368431720 460539650 921079300 1151349125 1842158600 2302698250 4605396500 9210793000 42342015421 84684030842 169368061684 211710077105 338736123368 423420154210 846840308420 1058550385525 1693680616840 2117100771050 4234201542100 5292751927625 8468403084200 10585503855250 21171007710500 42342015421000