Search a number
-
+
142594876210136 = 23719317382971437
BaseRepresentation
bin100000011011000001110100…
…111100010111101111011000
3200200212221022002121221201112
4200123001310330113233120
5122142233301302211021
61223135103133435452
742015065651120240
oct4033016474275730
9620787262557645
10142594876210136
11414871691a8449
1213baba1363bb88
13617484022073c
14272d8b3738b20
1511743475cbd5b
hex81b074f17bd8

142594876210136 has 256 divisors, whose sum is σ = 336977046528000. Its totient is φ = 55193122344960.

The previous prime is 142594876210133. The next prime is 142594876210159. The reversal of 142594876210136 is 631012678495241.

142594876210136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142594876210133) 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, 1996057010 + ... + 1996128446.

It is an arithmetic number, because the mean of its divisors is an integer number (1316316588000).

It is a 1-persistent number, because it is pandigital, but 2⋅142594876210136 = 285189752420272 is not.

Almost surely, 2142594876210136 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 142594876210136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168488523264000).

142594876210136 is an abundant number, since it is smaller than the sum of its proper divisors (194382170317864).

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

142594876210136 is a wasteful number, since it uses less digits than its factorization.

142594876210136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72402 (or 72398 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 59.

The spelling of 142594876210136 in words is "one hundred forty-two trillion, five hundred ninety-four billion, eight hundred seventy-six million, two hundred ten thousand, one hundred thirty-six".