Search a number
-
+
203027005440 = 21435573147
BaseRepresentation
bin1011110100010101011…
…0100100000000000000
3201102001022010111100000
42331011112210000000
511311244403133230
6233134101200000
720445125033520
oct2750526440000
9642038114300
10203027005440
11791154a7196
1233421400000
13161b749a65c
149b80117680
15543409eb60
hex2f455a4000

203027005440 has 1440 divisors, whose sum is σ = 879367716864. Its totient is φ = 43953684480.

The previous prime is 203027005429. The next prime is 203027005451. The reversal of 203027005440 is 44500720302.

203027005440 is a `hidden beast` number, since 20 + 30 + 2 + 70 + 0 + 544 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (203027005429) and next prime (203027005451).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4319723497 + ... + 4319723543.

Almost surely, 2203027005440 is an apocalyptic number.

203027005440 is a gapful number since it is divisible by the number (20) 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 203027005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439683858432).

203027005440 is an abundant number, since it is smaller than the sum of its proper divisors (676340711424).

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

203027005440 is an frugal number, since it uses more digits than its factorization.

203027005440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

Adding to 203027005440 its reverse (44500720302), we get a palindrome (247527725742).

The spelling of 203027005440 in words is "two hundred three billion, twenty-seven million, five thousand, four hundred forty".