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42431056144 = 2423222392
BaseRepresentation
bin100111100001000101…
…101000100100010000
311001112002111222120221
4213201011220210100
51143344322244034
631254220442424
73031324012021
oct474105504420
9131462458527
1042431056144
1116aa4252554
1282820a9414
134002922b19
1420a73d2c48
151185144bb4
hex9e1168910

42431056144 has 45 divisors (see below), whose sum is σ = 85978333623. Its totient is φ = 20284050336.

The previous prime is 42431056141. The next prime is 42431056153. The reversal of 42431056144 is 44165013424.

The square root of 42431056144 is 205988.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42431056141) 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 8 ways as a sum of consecutive naturals, for example, 18949777 + ... + 18952015.

Almost surely, 242431056144 is an apocalyptic number.

42431056144 is the 205988-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42431056144

42431056144 is an abundant number, since it is smaller than the sum of its proper divisors (43547277479).

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

42431056144 is an frugal number, since it uses more digits than its factorization.

42431056144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4532 (or 2264 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

Adding to 42431056144 its reverse (44165013424), we get a palindrome (86596069568).

The spelling of 42431056144 in words is "forty-two billion, four hundred thirty-one million, fifty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 23 46 92 184 368 529 1058 2116 2239 4232 4478 8464 8956 17912 35824 51497 102994 205988 411976 823952 1184431 2368862 4737724 5013121 9475448 10026242 18950896 20052484 40104968 80209936 115301783 230603566 461207132 922414264 1844828528 2651941009 5303882018 10607764036 21215528072 42431056144