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42300142112430 = 23354158716274001
BaseRepresentation
bin10011001111000110001001…
…11100011100111010101110
312112202212001122002221122000
421213203010330130322232
521021021142340044210
6225544230024233130
711624040645313206
oct1147430474347256
9175685048087560
1042300142112430
1112529431507344
1248b207400b7a6
131a7ab6a227417
14a634a2d01406
154d54ccacaac0
hex2678c4f1ceae

42300142112430 has 256 divisors, whose sum is σ = 115848548766720. Its totient is φ = 10976670720000.

The previous prime is 42300142112377. The next prime is 42300142112461. The reversal of 42300142112430 is 3421124100324.

42300142112430 is a `hidden beast` number, since 4 + 2 + 3 + 0 + 0 + 14 + 211 + 2 + 430 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 42300142112394 and 42300142112403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10572390430 + ... + 10572394430.

It is an arithmetic number, because the mean of its divisors is an integer number (452533393620).

Almost surely, 242300142112430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42300142112430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57924274383360).

42300142112430 is an abundant number, since it is smaller than the sum of its proper divisors (73548406654290).

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

42300142112430 is a wasteful number, since it uses less digits than its factorization.

42300142112430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6272 (or 6266 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 42300142112430 its reverse (3421124100324), we get a palindrome (45721266212754).

The spelling of 42300142112430 in words is "forty-two trillion, three hundred billion, one hundred forty-two million, one hundred twelve thousand, four hundred thirty".