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102128431744 = 274346739733
BaseRepresentation
bin101111100011101010…
…1000011001010000000
3100202121111122212201001
41133013111003022000
53133124334303434
6114530034421344
710243560226603
oct1370725031200
9322544585631
10102128431744
113a3489233a9
1217962731854
139827773801
144d2b9cc33a
1529cb01b114
hex17c7543280

102128431744 has 64 divisors (see below), whose sum is σ = 208641644640. Its totient is φ = 49768621056.

The previous prime is 102128431687. The next prime is 102128431747. The reversal of 102128431744 is 447134821201.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (102128431747) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2550502 + ... + 2590234.

Almost surely, 2102128431744 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 102128431744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104320822320).

102128431744 is an abundant number, since it is smaller than the sum of its proper divisors (106513212896).

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

102128431744 is an equidigital number, since it uses as much as digits as its factorization.

102128431744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40257 (or 40245 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The spelling of 102128431744 in words is "one hundred two billion, one hundred twenty-eight million, four hundred thirty-one thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 344 467 688 934 1376 1868 2752 3736 5504 7472 14944 20081 29888 39733 40162 59776 79466 80324 158932 160648 317864 321296 635728 642592 1271456 1285184 1708519 2542912 2570368 3417038 5085824 6834076 13668152 18555311 27336304 37110622 54672608 74221244 109345216 148442488 218690432 296884976 593769952 797878373 1187539904 1595756746 2375079808 3191513492 6383026984 12766053968 25532107936 51064215872 102128431744