Search a number
-
+
142641411061050 = 23252111491093717683
BaseRepresentation
bin100000011011101101001010…
…101000101111010100111010
3200201001101102012011022102100
4200123231022220233110322
5122144014102212423200
61223212320513044230
742021334065614436
oct4033551250572472
9621041365138370
10142641411061050
11414a4978987720
1213bb8a3bb56676
136179048106a95
142731c49b7d9c6
15117566cb4ad00
hex81bb4aa2f53a

142641411061050 has 288 divisors, whose sum is σ = 420937125710400. Its totient is φ = 34342574515200.

The previous prime is 142641411061001. The next prime is 142641411061069. The reversal of 142641411061050 is 50160114146241.

142641411061050 is a `hidden beast` number, since 1 + 4 + 2 + 641 + 4 + 1 + 1 + 0 + 6 + 1 + 0 + 5 + 0 = 666.

142641411061050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 142641411060996 and 142641411061014.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8066575509 + ... + 8066593191.

It is an arithmetic number, because the mean of its divisors is an integer number (1461587242050).

Almost surely, 2142641411061050 is an apocalyptic number.

142641411061050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 142641411061050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210468562855200).

142641411061050 is an abundant number, since it is smaller than the sum of its proper divisors (278295714649350).

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

142641411061050 is a wasteful number, since it uses less digits than its factorization.

142641411061050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28798 (or 28790 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 142641411061050 in words is "one hundred forty-two trillion, six hundred forty-one billion, four hundred eleven million, sixty-one thousand, fifty".