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42210145424 = 2429647140603
BaseRepresentation
bin100111010011111010…
…111011010010010000
311000221200211120001102
4213103322323102100
51142421244123144
631220245523532
73023002213316
oct472372732220
9130850746042
1042210145424
11169a0588007
1282201135a8
133c98c26a15
142085d2a0b6
151170a59b4e
hex9d3ebb490

42210145424 has 40 divisors (see below), whose sum is σ = 84733594560. Its totient is φ = 20345671808.

The previous prime is 42210145421. The next prime is 42210145477. The reversal of 42210145424 is 42454101224.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (42210145421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 229907 + ... + 370509.

It is an arithmetic number, because the mean of its divisors is an integer number (2118339864).

Almost surely, 242210145424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42210145424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42366797280).

42210145424 is an abundant number, since it is smaller than the sum of its proper divisors (42523449136).

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

42210145424 is a wasteful number, since it uses less digits than its factorization.

42210145424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141287 (or 141281 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 29.

Adding to 42210145424 its reverse (42454101224), we get a palindrome (84664246648).

The spelling of 42210145424 in words is "forty-two billion, two hundred ten million, one hundred forty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 29 58 116 232 464 647 1294 2588 5176 10352 18763 37526 75052 140603 150104 281206 300208 562412 1124824 2249648 4077487 8154974 16309948 32619896 65239792 90970141 181940282 363880564 727761128 1455522256 2638134089 5276268178 10552536356 21105072712 42210145424