Search a number
-
+
1132104304000 = 2753208933871
BaseRepresentation
bin10000011110010110101…
…011001100010110000000
311000020011021222101112001
4100132112223030112000
5122022022200212000
62224025340113344
7144535412544325
oct20362653142600
94006137871461
101132104304000
113a713940283a
121634ab535854
13829ac107267
143cb1919cb4c
151e6ae1e246a
hex10796acc580

1132104304000 has 128 divisors (see below), whose sum is σ = 2816124854400. Its totient is φ = 452611584000.

The previous prime is 1132104303983. The next prime is 1132104304013. The reversal of 1132104304000 is 4034012311.

It is a tau number, because it is divible by the number of its divisors (128).

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, 33407065 + ... + 33440935.

It is an arithmetic number, because the mean of its divisors is an integer number (22000975425).

Almost surely, 21132104304000 is an apocalyptic number.

1132104304000 is a gapful number since it is divisible by the number (10) 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 1132104304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408062427200).

1132104304000 is an abundant number, since it is smaller than the sum of its proper divisors (1684020550400).

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

1132104304000 is an equidigital number, since it uses as much as digits as its factorization.

1132104304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35989 (or 35967 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 1132104304000 its reverse (4034012311), we get a palindrome (1136138316311).

The spelling of 1132104304000 in words is "one trillion, one hundred thirty-two billion, one hundred four million, three hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1600 2000 2089 3200 4000 4178 8000 8356 10445 16000 16712 20890 33424 33871 41780 52225 66848 67742 83560 104450 133696 135484 167120 169355 208900 261125 267392 270968 334240 338710 417800 522250 541936 668480 677420 835600 846775 1044500 1083872 1336960 1354840 1671200 1693550 2089000 2167744 2709680 3342400 3387100 4178000 4233875 4335488 5419360 6684800 6774200 8356000 8467750 10838720 13548400 16712000 16935500 21677440 27096800 33424000 33871000 54193600 67742000 70756519 108387200 135484000 141513038 270968000 283026076 353782595 541936000 566052152 707565190 1132104304 1415130380 1768912975 2264208608 2830260760 3537825950 4528417216 5660521520 7075651900 8844564875 9056834432 11321043040 14151303800 17689129750 22642086080 28302607600 35378259500 45284172160 56605215200 70756519000 113210430400 141513038000 226420860800 283026076000 566052152000 1132104304000