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204124258440 = 233351723514729
BaseRepresentation
bin1011111000011011000…
…0010000000010001000
3201111212202210201111000
42332012300100002020
511321021302232230
6233435015135000
720514250366044
oct2760660200210
9644782721430
10204124258440
1179628905653
1233688974460
13163308c8b9b
149c45b3d024
15549a591b60
hex2f86c10088

204124258440 has 256 divisors, whose sum is σ = 720897408000. Its totient is φ = 51198566400.

The previous prime is 204124258439. The next prime is 204124258453. The reversal of 204124258440 is 44852421402.

204124258440 is a `hidden beast` number, since 20 + 4 + 12 + 4 + 2 + 584 + 40 = 666.

It is a super-2 number, since 2×2041242584402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 204124258395 and 204124258404.

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 63 ways as a sum of consecutive naturals, for example, 43161996 + ... + 43166724.

It is an arithmetic number, because the mean of its divisors is an integer number (2816005500).

Almost surely, 2204124258440 is an apocalyptic number.

204124258440 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 204124258440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360448704000).

204124258440 is an abundant number, since it is smaller than the sum of its proper divisors (516773149560).

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

204124258440 is a wasteful number, since it uses less digits than its factorization.

204124258440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7117 (or 7107 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 36.

Adding to 204124258440 its reverse (44852421402), we get a palindrome (248976679842).

The spelling of 204124258440 in words is "two hundred four billion, one hundred twenty-four million, two hundred fifty-eight thousand, four hundred forty".