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302141142000 = 24325382720297
BaseRepresentation
bin1000110010110010000…
…00111111001111110000
31001212212201212022101200
410121121000333033300
514422241113021000
6350445101131200
730554224222005
oct4313100771760
91055781768350
10302141142000
11107156885a45
124a682559b00
13226515c3039
14108a365b8ac
157cd5651500
hex465903f3f0

302141142000 has 240 divisors, whose sum is σ = 1056606381792. Its totient is φ = 80469580800.

The previous prime is 302141141999. The next prime is 302141142013. The reversal of 302141142000 is 241141203.

302141142000 is a `hidden beast` number, since 30 + 21 + 411 + 4 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 14875852 + ... + 14896148.

Almost surely, 2302141142000 is an apocalyptic number.

302141142000 is a gapful number since it is divisible by the number (30) 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 302141142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528303190896).

302141142000 is an abundant number, since it is smaller than the sum of its proper divisors (754465239792).

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

302141142000 is a wasteful number, since it uses less digits than its factorization.

302141142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21153 (or 21134 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 302141142000 its reverse (241141203), we get a palindrome (302382283203).

The spelling of 302141142000 in words is "three hundred two billion, one hundred forty-one million, one hundred forty-two thousand".