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42142323472 = 2429700112973
BaseRepresentation
bin100111001111111000…
…001101001100010000
311000202222012211211021
4213033320031030100
51142301413322342
631205424125224
73021216560554
oct471770151420
9130688184737
1042142323472
1116966274407
128201466814
133c87b6b6a2
14207ad13864
151169b0e567
hex9cfe0d310

42142323472 has 40 divisors (see below), whose sum is σ = 84484871640. Its totient is φ = 20340096000.

The previous prime is 42142323409. The next prime is 42142323473. The reversal of 42142323472 is 27432324124.

It can be written as a sum of positive squares in 4 ways, for example, as 802816 + 42141520656 = 896^2 + 205284^2 .

It is not an unprimeable number, because it can be changed into a prime (42142323473) 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 7 ways as a sum of consecutive naturals, for example, 3241978 + ... + 3254950.

It is an arithmetic number, because the mean of its divisors is an integer number (2112121791).

Almost surely, 242142323472 is an apocalyptic number.

It is an amenable number.

42142323472 is an abundant number, since it is smaller than the sum of its proper divisors (42342548168).

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

42142323472 is a wasteful number, since it uses less digits than its factorization.

42142323472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20011 (or 20005 counting only the distinct ones).

The product of its digits is 64512, while the sum is 34.

Adding to 42142323472 its reverse (27432324124), we get a palindrome (69574647596).

The spelling of 42142323472 in words is "forty-two billion, one hundred forty-two million, three hundred twenty-three thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 29 58 116 232 464 7001 12973 14002 25946 28004 51892 56008 103784 112016 203029 207568 376217 406058 752434 812116 1504868 1624232 3009736 3248464 6019472 90823973 181647946 363295892 726591784 1453183568 2633895217 5267790434 10535580868 21071161736 42142323472