Search a number
-
+
202000502144 = 27719231094733
BaseRepresentation
bin1011110000100000101…
…0110000110110000000
3201022101202120201112102
42330020022300312000
511302144112032034
6232444151445532
720410521636530
oct2741012606600
9638352521472
10202000502144
1178739021061
12331956868a8
1316082910c5c
149ac3a6b4c0
1553c3dd597e
hex2f082b0d80

202000502144 has 256 divisors, whose sum is σ = 509908608000. Its totient is φ = 77713219584.

The previous prime is 202000502141. The next prime is 202000502233. The reversal of 202000502144 is 441205000202.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202000502141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42676802 + ... + 42681534.

It is an arithmetic number, because the mean of its divisors is an integer number (1991830500).

Almost surely, 2202000502144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202000502144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254954304000).

202000502144 is an abundant number, since it is smaller than the sum of its proper divisors (307908105856).

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

202000502144 is a wasteful number, since it uses less digits than its factorization.

202000502144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4905 (or 4893 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 202000502144 its reverse (441205000202), we get a palindrome (643205502346).

The spelling of 202000502144 in words is "two hundred two billion, five hundred two thousand, one hundred forty-four".