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42282422240 = 255299112591
BaseRepresentation
bin100111011000001110…
…101000111111100000
311001010201211121012112
4213120032220333200
51143043300002430
631231351014452
73024540442022
oct473016507740
9131121747175
1042282422240
1116a28363713
12824036a428
133caabb1976
142091782012
151177085195
hex9d83a8fe0

42282422240 has 48 divisors (see below), whose sum is σ = 103336793280. Its totient is φ = 16329761280.

The previous prime is 42282422239. The next prime is 42282422251. The reversal of 42282422240 is 4222428224.

42282422240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 42282422197 and 42282422206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4551656 + ... + 4560935.

It is an arithmetic number, because the mean of its divisors is an integer number (2152849860).

Almost surely, 242282422240 is an apocalyptic number.

42282422240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42282422240 is an abundant number, since it is smaller than the sum of its proper divisors (61054371040).

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

42282422240 is a wasteful number, since it uses less digits than its factorization.

42282422240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9112635 (or 9112627 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

The spelling of 42282422240 in words is "forty-two billion, two hundred eighty-two million, four hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 928 1160 2320 4640 9112591 18225182 36450364 45562955 72900728 91125910 145801456 182251820 264265139 291602912 364503640 528530278 729007280 1057060556 1321325695 1458014560 2114121112 2642651390 4228242224 5285302780 8456484448 10570605560 21141211120 42282422240