Search a number
-
+
142008733440 = 2837577247
BaseRepresentation
bin1000010001000001100…
…0010100111100000000
3111120112211111010000000
42010100120110330000
54311313213432230
6145123220000000
713155052214010
oct2042030247400
9446484433000
10142008733440
1155253256322
1223632530000
1310511aa6572
146c3231bc40
153a6225bb60
hex2110614f00

142008733440 has 576 divisors, whose sum is σ = 583114936320. Its totient is φ = 32454660096.

The previous prime is 142008733421. The next prime is 142008733441. The reversal of 142008733440 is 44337800241.

142008733440 is a `hidden beast` number, since 1 + 4 + 200 + 8 + 7 + 3 + 3 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 142008733395 and 142008733404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142008733441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19591897 + ... + 19599143.

It is an arithmetic number, because the mean of its divisors is an integer number (1012352320).

Almost surely, 2142008733440 is an apocalyptic number.

142008733440 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 142008733440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291557468160).

142008733440 is an abundant number, since it is smaller than the sum of its proper divisors (441106202880).

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

142008733440 is an frugal number, since it uses more digits than its factorization.

142008733440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7296 (or 7264 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 142008733440 in words is "one hundred forty-two billion, eight million, seven hundred thirty-three thousand, four hundred forty".