Search a number
-
+
204322341220140 = 2235111333179939001
BaseRepresentation
bin101110011101010010000000…
…100100010110111100101100
3222210110000200021012100202110
4232131102000210112330230
5203240104123323021030
62002320215430324020
761015542042431013
oct5635220044267454
9883400607170673
10204322341220140
115a115688a45610
121aabb0567b9610
138a0168b638cb0
14386537b2a9a7a
151894d5dc891b0
hexb9d480916f2c

204322341220140 has 384 divisors, whose sum is σ = 674310309571584. Its totient is φ = 45573580800000.

The previous prime is 204322341220121. The next prime is 204322341220169. The reversal of 204322341220140 is 41022143223402.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 204322341220098 and 204322341220107.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22699955640 + ... + 22699964640.

It is an arithmetic number, because the mean of its divisors is an integer number (1756016431176).

Almost surely, 2204322341220140 is an apocalyptic number.

204322341220140 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 204322341220140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337155154785792).

204322341220140 is an abundant number, since it is smaller than the sum of its proper divisors (469987968351444).

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

204322341220140 is a wasteful number, since it uses less digits than its factorization.

204322341220140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17361 (or 17359 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 204322341220140 its reverse (41022143223402), we get a palindrome (245344484443542).

The spelling of 204322341220140 in words is "two hundred four trillion, three hundred twenty-two billion, three hundred forty-one million, two hundred twenty thousand, one hundred forty".