Search a number
-
+
142792538641 = 44328532
BaseRepresentation
bin1000010011111100011…
…0010011101000010001
3111122120110100112121021
42010333012103220101
54314414342214031
6145333055355441
713213350360244
oct2047706235021
9448513315537
10142792538641
1155615735815
1223810b22b81
13106082a901c
146ca846d25b
153aaae85511
hex213f193a11

142792538641 has 9 divisors (see below), whose sum is σ = 143283572859. Its totient is φ = 142303185336.

The previous prime is 142792538627. The next prime is 142792538671. The reversal of 142792538641 is 146835297241.

The square root of 142792538641 is 377879.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8247364225 + 134545174416 = 90815^2 + 366804^2 .

It is not a de Polignac number, because 142792538641 - 225 = 142758984209 is a prime.

It is a Duffinian number.

Its product of digits (2903040) is a multiple of the sum of its prime divisors (1296).

It is not an unprimeable number, because it can be changed into a prime (142792538671) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 167399971 + ... + 167400823.

Almost surely, 2142792538641 is an apocalyptic number.

142792538641 is the 377879-th square number.

142792538641 is the 188940-th centered octagonal number.

It is an amenable number.

142792538641 is a deficient number, since it is larger than the sum of its proper divisors (491034218).

142792538641 is an frugal number, since it uses more digits than its factorization.

142792538641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2592 (or 1296 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 52.

The spelling of 142792538641 in words is "one hundred forty-two billion, seven hundred ninety-two million, five hundred thirty-eight thousand, six hundred forty-one".

Divisors: 1 443 853 196249 377879 727609 167400397 322330787 142792538641