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42450217360 = 2451274178171
BaseRepresentation
bin100111100010001110…
…101110100110010000
311001120102120110211121
4213202032232212100
51143414223423420
631300143252024
73031645615435
oct474216564620
9131512513747
1042450217360
111700404a671
1282885aa014
1340068a1515
1420a9b7db8c
151186b7c2aa
hex9e23ae990

42450217360 has 40 divisors (see below), whose sum is σ = 99473918976. Its totient is φ = 16846381440.

The previous prime is 42450217343. The next prime is 42450217417. The reversal of 42450217360 is 6371205424.

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

It is a super-2 number, since 2×424502173602 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2078926 + ... + 2099245.

Almost surely, 242450217360 is an apocalyptic number.

42450217360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42450217360 is an abundant number, since it is smaller than the sum of its proper divisors (57023701616).

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

42450217360 is a wasteful number, since it uses less digits than its factorization.

42450217360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4178311 (or 4178305 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The spelling of 42450217360 in words is "forty-two billion, four hundred fifty million, two hundred seventeen thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 127 254 508 635 1016 1270 2032 2540 5080 10160 4178171 8356342 16712684 20890855 33425368 41781710 66850736 83563420 167126840 334253680 530627717 1061255434 2122510868 2653138585 4245021736 5306277170 8490043472 10612554340 21225108680 42450217360