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4142314423000 = 23531312722311251
BaseRepresentation
bin111100010001110101001…
…011100000001011011000
3112200000001000101110011201
4330101311023200023120
51020331424443014000
612450541502003544
7605162261434255
oct74216513401330
915600030343151
104142314423000
111357822557a96
1256a9848765b4
132408070126a0
141046bc0b242c
1572b3ee9b96a
hex3c4752e02d8

4142314423000 has 256 divisors, whose sum is σ = 10568944189440. Its totient is φ = 1510488000000.

The previous prime is 4142314422973. The next prime is 4142314423031. The reversal of 4142314423000 is 3244132414.

It is a self number, because there is not a number n which added to its sum of digits gives 4142314423000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 368167375 + ... + 368178625.

It is an arithmetic number, because the mean of its divisors is an integer number (41284938240).

Almost surely, 24142314423000 is an apocalyptic number.

4142314423000 is a gapful number since it is divisible by the number (40) 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 4142314423000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5284472094720).

4142314423000 is an abundant number, since it is smaller than the sum of its proper divisors (6426629766440).

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

4142314423000 is a wasteful number, since it uses less digits than its factorization.

4142314423000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11635 (or 11621 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 4142314423000 its reverse (3244132414), we get a palindrome (4145558555414).

The spelling of 4142314423000 in words is "four trillion, one hundred forty-two billion, three hundred fourteen million, four hundred twenty-three thousand".