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134404467200 = 295229362081
BaseRepresentation
bin111110100101100100…
…0010110101000000000
3110211220212201100202122
41331023020112220000
54200230020422300
6141424454103412
712465445056413
oct1751310265000
9424825640678
10134404467200
11520008aa573
122206b94ab68
13c89c53cc43
146710427b7a
153769880c85
hex1f4b216a00

134404467200 has 120 divisors (see below), whose sum is σ = 344481193980. Its totient is φ = 51907788800.

The previous prime is 134404467187. The next prime is 134404467257. The reversal of 134404467200 is 2764404431.

It can be written as a sum of positive squares in 6 ways, for example, as 69839689984 + 64564777216 = 264272^2 + 254096^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 190160 + ... + 552240.

Almost surely, 2134404467200 is an apocalyptic number.

134404467200 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 134404467200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172240596990).

134404467200 is an abundant number, since it is smaller than the sum of its proper divisors (210076726780).

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

134404467200 is an equidigital number, since it uses as much as digits as its factorization.

134404467200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362138 (or 362117 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 35.

The spelling of 134404467200 in words is "one hundred thirty-four billion, four hundred four million, four hundred sixty-seven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 64 80 100 116 128 145 160 200 232 256 290 320 400 464 512 580 640 725 800 928 1160 1280 1450 1600 1856 2320 2560 2900 3200 3712 4640 5800 6400 7424 9280 11600 12800 14848 18560 23200 37120 46400 74240 92800 185600 362081 371200 724162 1448324 1810405 2896648 3620810 5793296 7241620 9052025 10500349 11586592 14483240 18104050 21000698 23173184 28966480 36208100 42001396 46346368 52501745 57932960 72416200 84002792 92692736 105003490 115865920 144832400 168005584 185385472 210006980 231731840 262508725 289664800 336011168 420013960 463463680 525017450 579329600 672022336 840027920 926927360 1050034900 1158659200 1344044672 1680055840 2100069800 2317318400 2688089344 3360111680 4200139600 4634636800 5376178688 6720223360 8400279200 13440446720 16800558400 26880893440 33601116800 67202233600 134404467200