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42224060240 = 2451927778987
BaseRepresentation
bin100111010100110000…
…000000011101010000
311000222200000111120222
4213110300000131100
51142433324411430
631221504052212
73023231406305
oct472460003520
9130880014528
1042224060240
11169a842145a
128224904068
133c9ba8943b
142087b0d0ac
151171da79e5
hex9d4c00750

42224060240 has 40 divisors (see below), whose sum is σ = 103337835360. Its totient is φ = 16000695936.

The previous prime is 42224060237. The next prime is 42224060243. The reversal of 42224060240 is 4206042224.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42224060237) and next prime (42224060243).

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×422240602402 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42224060243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13887974 + ... + 13891013.

It is an arithmetic number, because the mean of its divisors is an integer number (2583445884).

Almost surely, 242224060240 is an apocalyptic number.

42224060240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42224060240 is an abundant number, since it is smaller than the sum of its proper divisors (61113775120).

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

42224060240 is a wasteful number, since it uses less digits than its factorization.

42224060240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27779019 (or 27779013 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The spelling of 42224060240 in words is "forty-two billion, two hundred twenty-four million, sixty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 27778987 55557974 111115948 138894935 222231896 277789870 444463792 527800753 555579740 1055601506 1111159480 2111203012 2222318960 2639003765 4222406024 5278007530 8444812048 10556015060 21112030120 42224060240