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202014030240 = 253351122931319
BaseRepresentation
bin1011110000100011111…
…0010111100110100000
3201022102201001000121000
42330020332113212200
511302211042431430
6232445353432000
720411044632201
oct2741076274640
9638381030530
10202014030240
1178745720a00
123319a10b600
1316085669649
149ac578d5a8
1553c51a8e60
hex2f08f979a0

202014030240 has 576 divisors, whose sum is σ = 780413356800. Its totient is φ = 48768952320.

The previous prime is 202014030227. The next prime is 202014030241. The reversal of 202014030240 is 42030410202.

202014030240 is a `hidden beast` number, since 2 + 0 + 20 + 1 + 403 + 0 + 240 = 666.

202014030240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (202014030241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 153156301 + ... + 153157619.

It is an arithmetic number, because the mean of its divisors is an integer number (1354884300).

Almost surely, 2202014030240 is an apocalyptic number.

202014030240 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 202014030240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390206678400).

202014030240 is an abundant number, since it is smaller than the sum of its proper divisors (578399326560).

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

202014030240 is a wasteful number, since it uses less digits than its factorization.

202014030240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 202014030240 its reverse (42030410202), we get a palindrome (244044440442).

The spelling of 202014030240 in words is "two hundred two billion, fourteen million, thirty thousand, two hundred forty".