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200343113040 = 243572139122561
BaseRepresentation
bin1011101010010101100…
…0010100110101010000
3201011010020220122002210
42322211120110311100
511240300314104130
6232011504112120
720321455235400
oct2724530246520
9634106818083
10200343113040
1177a685120a4
12329b2605640
1315b7a433745
1499a78b8800
15532864c5b0
hex2ea5614d50

200343113040 has 240 divisors, whose sum is σ = 727665301440. Its totient is φ = 45462896640.

The previous prime is 200343113027. The next prime is 200343113081. The reversal of 200343113040 is 40311343002.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 200343112998 and 200343113016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1573360 + ... + 1695920.

It is an arithmetic number, because the mean of its divisors is an integer number (3031938756).

Almost surely, 2200343113040 is an apocalyptic number.

200343113040 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 200343113040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363832650720).

200343113040 is an abundant number, since it is smaller than the sum of its proper divisors (527322188400).

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

200343113040 is a wasteful number, since it uses less digits than its factorization.

200343113040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122730 (or 122717 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 200343113040 its reverse (40311343002), we get a palindrome (240654456042).

The spelling of 200343113040 in words is "two hundred billion, three hundred forty-three million, one hundred thirteen thousand, forty".