Search a number
-
+
142011515110000 = 2454151331284131
BaseRepresentation
bin100000010010100010100001…
…111010011000001001110000
3200121211011112122210120212211
4200102202201322120021300
5122103204040332010000
61222011104524501504
741624664505435324
oct4022424172301160
9617734478716784
10142011515110000
1141281822057668
1213b169490aa894
136131822814c13
14270d573217984
1511640a33a87ba
hex8128a1e98270

142011515110000 has 200 divisors, whose sum is σ = 347147904211328. Its totient is φ = 56257740000000.

The previous prime is 142011515109991. The next prime is 142011515110019. The reversal of 142011515110000 is 11515110241.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 499667935 + ... + 499952065.

Almost surely, 2142011515110000 is an apocalyptic number.

142011515110000 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 142011515110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173573952105664).

142011515110000 is an abundant number, since it is smaller than the sum of its proper divisors (205136389101328).

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

142011515110000 is a wasteful number, since it uses less digits than its factorization.

142011515110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284641 (or 284620 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 22.

The spelling of 142011515110000 in words is "one hundred forty-two trillion, eleven billion, five hundred fifteen million, one hundred ten thousand".