Search a number
-
+
142003102441200 = 2435272111337456439
BaseRepresentation
bin100000010010011010101100…
…011110100101111011110000
3200121210100211100212201210220
4200102122230132211323300
5122103034323211104300
61222003154044053040
741624246154100200
oct4022325436457360
9617710740781726
10142003102441200
11412791a5351020
1213b1519b834180
136130ab1945ca0
14270cdb5c0c400
151163c5ea45da0
hex8126ac7a5ef0

142003102441200 has 1440 divisors, whose sum is σ = 638461640839680. Its totient is φ = 26501155430400.

The previous prime is 142003102441171. The next prime is 142003102441223. The reversal of 142003102441200 is 2144201300241.

142003102441200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1420031024412002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 310882581 + ... + 311339019.

It is an arithmetic number, because the mean of its divisors is an integer number (443376139472).

Almost surely, 2142003102441200 is an apocalyptic number.

142003102441200 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 142003102441200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319230820419840).

142003102441200 is an abundant number, since it is smaller than the sum of its proper divisors (496458538398480).

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

142003102441200 is a wasteful number, since it uses less digits than its factorization.

142003102441200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456535 (or 456517 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 142003102441200 its reverse (2144201300241), we get a palindrome (144147303741441).

The spelling of 142003102441200 in words is "one hundred forty-two trillion, three billion, one hundred two million, four hundred forty-one thousand, two hundred".