Search a number
-
+
142021052043000 = 23353135323684119
BaseRepresentation
bin100000010010101011011010…
…010110111000111011111000
3200121212002011022012222111120
4200102223122112320323320
5122103333103310334000
61222015323130225240
741625453031145604
oct4022533226707370
9617762138188446
10142021052043000
1141285876440579
1213b1876ab85220
1361326b25abb40
14270dbd9a7a504
1511644607966a0
hex812ada5b8ef8

142021052043000 has 256 divisors, whose sum is σ = 477281079475200. Its totient is φ = 34952409561600.

The previous prime is 142021052042959. The next prime is 142021052043007. The reversal of 142021052043000 is 340250120241.

142021052043000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142021052043007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 207254941 + ... + 207939059.

It is an arithmetic number, because the mean of its divisors is an integer number (1864379216700).

Almost surely, 2142021052043000 is an apocalyptic number.

142021052043000 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 142021052043000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238640539737600).

142021052043000 is an abundant number, since it is smaller than the sum of its proper divisors (335260027432200).

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

142021052043000 is a wasteful number, since it uses less digits than its factorization.

142021052043000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689479 (or 689465 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The spelling of 142021052043000 in words is "one hundred forty-two trillion, twenty-one billion, fifty-two million, forty-three thousand".