Search a number
-
+
204234101344 = 25713431162727
BaseRepresentation
bin1011111000110101001…
…1010001001001100000
3201112011102111022121201
42332031103101021200
511321232412220334
6233453541330544
720520053134540
oct2761523211140
9645142438551
10204234101344
117968490a209
12336b9706a54
131634a5a78a0
149c56573320
1554a503cc14
hex2f8d4d1260

204234101344 has 96 divisors (see below), whose sum is σ = 496026187776. Its totient is φ = 80607951360.

The previous prime is 204234101297. The next prime is 204234101353. The reversal of 204234101344 is 443101432402.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 15 ways as a sum of consecutive naturals, for example, 1173709 + ... + 1336435.

It is an arithmetic number, because the mean of its divisors is an integer number (5166939456).

Almost surely, 2204234101344 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 204234101344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248013093888).

204234101344 is an abundant number, since it is smaller than the sum of its proper divisors (291792086432).

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

204234101344 is a wasteful number, since it uses less digits than its factorization.

204234101344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163188 (or 163180 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 204234101344 its reverse (443101432402), we get a palindrome (647335533746).

The spelling of 204234101344 in words is "two hundred four billion, two hundred thirty-four million, one hundred one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 431 728 862 1456 1724 2912 3017 3448 5603 6034 6896 11206 12068 13792 22412 24136 39221 44824 48272 78442 89648 96544 156884 162727 179296 313768 325454 627536 650908 1139089 1255072 1301816 2115451 2278178 2603632 4230902 4556356 5207264 8461804 9112712 14808157 16923608 18225424 29616314 33847216 36450848 59232628 67694432 70135337 118465256 140270674 236930512 280541348 473861024 490947359 561082696 911759381 981894718 1122165392 1823518762 1963789436 2244330784 3647037524 3927578872 6382315667 7294075048 7855157744 12764631334 14588150096 15710315488 25529262668 29176300192 51058525336 102117050672 204234101344