131397470789222400
131,397,470,789,222,400 is an even composite number composed of seven prime numbers multiplied together.
131397470789222400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 131397470789222400:
214 × 3 × 52 × 7 × 53 × 4092 × 1723
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 53 × 409 × 409 × 1723)See below for interesting mathematical facts about the number 131397470789222400 from the Numbermatics database.
Names of 131397470789222400
- Cardinal: 131397470789222400 can be written as One hundred thirty-one quadrillion, three hundred ninety-seven trillion, four hundred seventy billion, seven hundred eighty-nine million, two hundred twenty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.313974707892224 × 1017
Factors of 131397470789222400
Divisors of 131397470789222400
- Number of divisors d(n): 2160
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 53 56 60 64 70 75 80 84 96 100 105 106 112 120 128 140 150 159 160 168 175 192 200 210 212 224 240 256 265 280 300 318 320 336 350 371 384 400 409 420 424 448 480 512 525 530 560 600 636 640 672 700 742 768 795 800 818 840 848 896 960 1024 1050 1060 1113 1120 1200 1227 1272 1280 1325 1344 1400 1484 1536 1590 1600 1636 1680 1696 1723 1792 1855 1920 2045 2048 2100 2120 2226 2240 2400 2454 2544 2560 2650 2688 2800 2863 2968 3072 3180 3200 3272 3360 3392 3446 3584 3710 3840 3975 4090 4096 4200 4240 4452 4480 4800 4908 5088 5120 5169 5300 5376 5565 5600 5726 5936 6135 6144 6360 6400 6544 6720 6784 6892 7168 7420 7680 7950 8180 8192 8400 8480 8589 8615 8904 8960 9275 9600 9816 10176 10225 10240 10338 10600 10752 11130 11200 11452 11872 12061 12270 12288 12720 12800 13088 13440 13568 13784 14315 14336 14840 15360 15900 16360 16384 16800 16960 17178 17230 17808 17920 18550 19200 19632 20352 20450 20480 20676 21200 21504 21677 22260 22400 22904 23744 24122 24540 24576 25440 25600 25845 26176 26880 27136 27568 27825 28630 28672 29680 30675 30720 31800 32720 33600 33920 34356 34460 35616 35840 36183 37100 38400 39264 40704 40900 40960 41352 42400 42945 43008 43075 43354 44520 44800 45808 47488 48244 49080 49152 50880 51200 51690 52352 53760 54272 55136 55650 57260 57344 59360 60305 61350 61440 63600 65031 65440 67200 67840 68712 68920 71232 71575 71680 72366 74200 76800 78528 81408 81800 81920 82704 84800 85890 86016 86150 86708 89040 89600 91319 91616 94976 96488 98160 101760 102400 103380 104704 107520 108385 108544 110272 111300 114520 114688 118720 120610 122700 122880 127200 129225 130062 130880 134400 135680 137424 137840 142464 143150 143360 144732 148400 151739 153600 157056 162816 163600 165408 167281 169600 171780 172032 172300 173416 178080 179200 180915 182638 183232 189952 192976 196320 203520 204800 206760 209408 214725 215040 216770 217088 220544 222600 229040 237440 241220 245400 245760 254400 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684361827027200 750842690224128 782127802316800 821234192432640 826399187353600 875983138594816 938553362780160 1026542740540800 1094978923243520 1173191703475200 1239598781030400 1251404483706880 1313974707892224 1368723654054400 1564255604633600 1642468384865280 1751966277189632 1877106725560320 2053085481081600 2189957846487040 2346383406950400 2479197562060800 2627949415784448 2737447308108800 3128511209267200 3284936769730560 3754213451120640 4106170962163200 4379915692974080 4692766813900800 5255898831568896 5474894616217600 6257022418534400 6569873539461120 8212341924326400 8759831385948160 9385533627801600 10949789232435200 13139747078922240 16424683848652800 18771067255603200 21899578464870400 26279494157844480 32849367697305600 43799156929740800 65698735394611200 131397470789222400
- Sum of all divisors σ(n): 507445177081538304
- Sum of proper divisors (its aliquot sum) s(n): 376047706292315904
- 131397470789222400 is an abundant number, because the sum of its proper divisors (376047706292315904) is greater than itself. Its abundance is 244650235503093504
Bases of 131397470789222400
- Binary: 1110100101101000101001101101100101100011011000000000000002
- Hexadecimal: 0x1D2D14DB2C6C000
- Base-36: ZXSIKR9QQYO
Squares and roots of 131397470789222400
- 131397470789222400 squared (1313974707892224002) is 17265295329804553877527996661760000
- 131397470789222400 cubed (1313974707892224003) is 2268616138765291790883010157675661339786215424000000
-
The
square root of 131397470789222400 is 362487890.5414943651 -
The
cube root of 131397470789222400 is 508388.4421156521
Scales and comparisons
How big is 131397470789222400?- 131,397,470,789,222,400 seconds is equal to 4,178,033,132 years, 1 week, 5 days, 10 hours, 40 minutes.
-
To count from 1 to 131,397,470,789,222,400 would take you about twelve billion, five hundred thirty-four million, ninety-nine thousand, three hundred ninety-six years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 131397470789222400 cubic inches would be around 42365.7 feet tall.
Recreational maths with 131397470789222400
- 131397470789222400 backwards is 004222987074793131
- The number of decimal digits it has is: 18
- The sum of 131397470789222400's digits is 69
- More coming soon!
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"Number 131397470789222400 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
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Numbermatics. (2024). Number 131397470789222400 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/131397470789222400/
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The information we have on file for 131397470789222400 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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