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142114304014344 = 23353071193199601
BaseRepresentation
bin100000010100000010010000…
…100110111011100000001000
3200122011222212012020221200000
4200110002100212323200020
5122111400043311424334
61222130224315443000
741635263635630304
oct4024022046734010
9618158765227600
10142114304014344
1141311379781892
1213b32854a56460
13613b4240683cc
142714524810d04
151166abc38a299
hex8140909bb808

142114304014344 has 192 divisors, whose sum is σ = 400786029483840. Its totient is φ = 47177315481600.

The previous prime is 142114304014297. The next prime is 142114304014349. The reversal of 142114304014344 is 443410403411241.

142114304014344 is a `hidden beast` number, since 1 + 4 + 2 + 1 + 1 + 4 + 304 + 0 + 1 + 4 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 142114304014299 and 142114304014308.

It is not an unprimeable number, because it can be changed into a prime (142114304014349) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 711892144 + ... + 712091744.

It is an arithmetic number, because the mean of its divisors is an integer number (2087427236895).

Almost surely, 2142114304014344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142114304014344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200393014741920).

142114304014344 is an abundant number, since it is smaller than the sum of its proper divisors (258671725469496).

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

142114304014344 is a wasteful number, since it uses less digits than its factorization.

142114304014344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201122 (or 201106 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 142114304014344 its reverse (443410403411241), we get a palindrome (585524707425585).

The spelling of 142114304014344 in words is "one hundred forty-two trillion, one hundred fourteen billion, three hundred four million, fourteen thousand, three hundred forty-four".