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142112034301000 = 235331157229127507
BaseRepresentation
bin100000010100000000001001…
…010100101010010001001000
3200122011210000000101120021211
4200110000021110222101020
5122111330421240113000
61222125211155542504
741635153455450241
oct4024001124522110
9618153000346254
10142112034301000
1141310414567635
1213b323208baa34
13613b151a6886a
14271438b1c7cc8
1511669d7e9c7ba
hex81400952a448

142112034301000 has 256 divisors, whose sum is σ = 346967017113600. Its totient is φ = 54421600896000.

The previous prime is 142112034300997. The next prime is 142112034301001. The reversal of 142112034301000 is 103430211241.

It is not an unprimeable number, because it can be changed into a prime (142112034301001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1114479247 + ... + 1114606753.

It is an arithmetic number, because the mean of its divisors is an integer number (1355339910600).

Almost surely, 2142112034301000 is an apocalyptic number.

142112034301000 is a gapful number since it is divisible by the number (10) 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 142112034301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173483508556800).

142112034301000 is an abundant number, since it is smaller than the sum of its proper divisors (204854982812600).

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

142112034301000 is a wasteful number, since it uses less digits than its factorization.

142112034301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127945 (or 127931 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 142112034301000 its reverse (103430211241), we get a palindrome (142215464512241).

The spelling of 142112034301000 in words is "one hundred forty-two trillion, one hundred twelve billion, thirty-four million, three hundred one thousand".