Search a number
-
+
142327739354161 = 1926279012
BaseRepresentation
bin100000010111001001000010…
…010110001000110000110001
3200122221101202212111121120211
4200113021002112020300301
5122123344202233313121
61222412243311504121
741656561030242244
oct4027110226106061
9618841685447524
10142327739354161
1141393945430709
1213b6809bb28041
1361555a99c21aa
1427209b0dc125b
15116c4100a5ce1
hex817242588c31

142327739354161 has 9 divisors (see below), whose sum is σ = 150213171900843. Its totient is φ = 134836590961800.

The previous prime is 142327739354131. The next prime is 142327739354167. The reversal of 142327739354161 is 161453937723241.

It is a happy number.

The square root of 142327739354161 is 11930119.

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., 11508588089761 + 130819151264400 = 3392431^2 + 11437620^2 .

It is not a de Polignac number, because 142327739354161 - 29 = 142327739353649 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 142327739354096 and 142327739354105.

It is not an unprimeable number, because it can be changed into a prime (142327739354167) 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, 226358311 + ... + 226986211.

It is an arithmetic number, because the mean of its divisors is an integer number (16690352433427).

Almost surely, 2142327739354161 is an apocalyptic number.

142327739354161 is the 11930119-th square number.

142327739354161 is the 5965060-th centered octagonal number.

It is an amenable number.

142327739354161 is a deficient number, since it is larger than the sum of its proper divisors (7885432546682).

142327739354161 is an frugal number, since it uses more digits than its factorization.

142327739354161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255840 (or 627920 counting only the distinct ones).

The product of its digits is 22861440, while the sum is 58.

The spelling of 142327739354161 in words is "one hundred forty-two trillion, three hundred twenty-seven billion, seven hundred thirty-nine million, three hundred fifty-four thousand, one hundred sixty-one".

Divisors: 1 19 361 627901 11930119 226672261 394259665801 7490933650219 142327739354161