Search a number
-
+
142536661540 = 2257413415569
BaseRepresentation
bin1000010010111111011…
…0001101101000100100
3111121220121212122012121
42010233312031220210
54313403341132130
6145251435155324
713204122430000
oct2045766155044
9447817778177
10142536661540
11554a4258539
122375b2a5b44
1310597289560
146c824a3700
153a9378ed7a
hex212fd8da24

142536661540 has 240 divisors, whose sum is σ = 385296372720. Its totient is φ = 44002344960.

The previous prime is 142536661529. The next prime is 142536661559. The reversal of 142536661540 is 45166635241.

It can be written as a sum of positive squares in 8 ways, for example, as 62156473344 + 80380188196 = 249312^2 + 283514^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25591876 + ... + 25597444.

It is an arithmetic number, because the mean of its divisors is an integer number (1605401553).

Almost surely, 2142536661540 is an apocalyptic number.

142536661540 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 142536661540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192648186360).

142536661540 is an abundant number, since it is smaller than the sum of its proper divisors (242759711180).

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

142536661540 is a wasteful number, since it uses less digits than its factorization.

142536661540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5660 (or 5637 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 43.

The spelling of 142536661540 in words is "one hundred forty-two billion, five hundred thirty-six million, six hundred sixty-one thousand, five hundred forty".