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42144304230 = 23257295993851
BaseRepresentation
bin100111001111111111…
…110000110001100110
311000210002221110220200
4213033333300301212
51142302420213410
631205534411330
73021242450430
oct471777606146
9130702843820
1042144304230
11169673a75a6
128202060b46
133c883b3132
14207b2ab650
151169da13c0
hex9cfff0c66

42144304230 has 192 divisors, whose sum is σ = 129796992000. Its totient is φ = 9282873600.

The previous prime is 42144304199. The next prime is 42144304247. The reversal of 42144304230 is 3240344124.

It is a happy number.

42144304230 is a `hidden beast` number, since 421 + 4 + 4 + 3 + 0 + 4 + 230 = 666.

It is a super-3 number, since 3×421443042303 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 42144304194 and 42144304203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10941805 + ... + 10945655.

It is an arithmetic number, because the mean of its divisors is an integer number (676026000).

Almost surely, 242144304230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42144304230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64898496000).

42144304230 is an abundant number, since it is smaller than the sum of its proper divisors (87652687770).

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

42144304230 is a wasteful number, since it uses less digits than its factorization.

42144304230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4499 (or 4496 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 42144304230 its reverse (3240344124), we get a palindrome (45384648354).

The spelling of 42144304230 in words is "forty-two billion, one hundred forty-four million, three hundred four thousand, two hundred thirty".