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42430544503424 = 27711291011469801
BaseRepresentation
bin10011010010111001000011…
…00010000110001010000000
312120020022122121012202220222
421221130201202012022000
521030140223343102144
6230124153440122212
711636335306331150
oct1151344142061200
9176208577182828
1042430544503424
1112579769234810
1249133a7606368
131a8a24c59991c
14a699139d4760
154d8ab0e262ee
hex269721886280

42430544503424 has 256 divisors, whose sum is σ = 110101104057600. Its totient is φ = 15803289600000.

The previous prime is 42430544503421. The next prime is 42430544503439.

42430544503424 is nontrivially palindromic in base 10.

42430544503424 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×424305445034242 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (42430544503421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28133324 + ... + 29603124.

It is an arithmetic number, because the mean of its divisors is an integer number (430082437725).

Almost surely, 242430544503424 is an apocalyptic number.

42430544503424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42430544503424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55050552028800).

42430544503424 is an abundant number, since it is smaller than the sum of its proper divisors (67670559554176).

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

42430544503424 is a wasteful number, since it uses less digits than its factorization.

42430544503424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1469963 (or 1469951 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 44.

It can be divided in two parts, 4243054 and 4503424, that added together give a palindrome (8746478).

The spelling of 42430544503424 in words is "forty-two trillion, four hundred thirty billion, five hundred forty-four million, five hundred three thousand, four hundred twenty-four".