134964889271500800
134,964,889,271,500,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 134964889271500800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2304 divisors.
134964889271500800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 134964889271500800:
215 × 3 × 52 × 732 × 97 × 131 × 811
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 73 × 73 × 97 × 131 × 811)See below for interesting mathematical facts about the number 134964889271500800 from the Numbermatics database.
Names of 134964889271500800
- Cardinal: 134964889271500800 can be written as One hundred thirty-four quadrillion, nine hundred sixty-four trillion, eight hundred eighty-nine billion, two hundred seventy-one million, five hundred thousand, eight hundred.
Scientific notation
- Scientific notation: 1.349648892715008 × 1017
Factors of 134964889271500800
Divisors of 134964889271500800
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 73 75 80 96 97 100 120 128 131 146 150 160 192 194 200 219 240 256 262 291 292 300 320 365 384 388 393 400 438 480 485 512 524 582 584 600 640 655 730 768 776 786 800 811 876 960 970 1024 1048 1095 1164 1168 1200 1280 1310 1455 1460 1536 1552 1572 1600 1622 1752 1825 1920 1940 1965 2048 2096 2190 2328 2336 2400 2425 2433 2560 2620 2910 2920 3072 3104 3144 3200 3244 3275 3504 3650 3840 3880 3930 4055 4096 4192 4380 4656 4672 4800 4850 4866 5120 5240 5329 5475 5820 5840 6144 6208 6288 6400 6488 6550 7008 7081 7275 7300 7680 7760 7860 8110 8192 8384 8760 9312 9344 9563 9600 9700 9732 9825 10240 10480 10658 10950 11640 11680 12165 12288 12416 12576 12707 12800 12976 13100 14016 14162 14550 14600 15360 15520 15720 15987 16220 16384 16768 17520 18624 18688 19126 19200 19400 19464 19650 20275 20480 20960 21243 21316 21900 23280 23360 24330 24576 24832 25152 25414 25600 25952 26200 26645 28032 28324 28689 29100 29200 30720 31040 31440 31974 32440 32768 33536 35040 35405 37248 37376 38121 38252 38400 38800 38928 39300 40550 40960 41920 42486 42632 43800 46560 46720 47815 48660 49152 49664 50304 50828 51200 51904 52400 53290 56064 56648 57378 58200 58400 59203 60825 61440 62080 62880 63535 63948 64880 67072 70080 70810 74496 74752 76242 76504 76800 77600 77856 78600 78667 79935 81100 81920 83840 84972 85264 87600 93120 93440 95630 97320 98304 99328 100608 101656 102400 103808 104800 106215 106241 106580 112128 113296 114756 116400 116800 118406 121650 122880 124160 125760 127070 127896 129760 133225 134144 140160 141620 143445 148992 149504 152484 153008 153600 155200 155712 157200 157334 159870 162200 163840 167680 169944 170528 175200 177025 177609 186240 186880 190605 191260 194640 198656 201216 203312 204800 207616 209600 212430 212482 213160 224256 226592 229512 232800 233600 236001 236812 239075 243300 245760 248320 251520 254140 255792 259520 266450 268288 280320 283240 286890 296015 297984 299008 304968 306016 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4160446648320 4221082419200 4292776376320 4348095659520 4393388322640 4622085249024 4637968703488 4704412467200 4765036339200 4814672134400 5065298903040 5151331651584 5200558310400 5272065987168 5310651187200 5365970470400 5435119574400 5491735403300 5547262197760 5777606561280 5797460879360 6162780332032 6331623628800 6353381785600 6439164564480 6590082483960 6656714637312 6868442202112 6934077747200 6956953055232 7029421316224 7056618700800 7222008201600 7246826099200 7703475415040 8048955705600 8237603104950 8320893296640 8442164838400 8585552752640 8696191319040 8786776645280 9244170498048 9275937406976 9530072678400 9629344268800 10302663303168 10401116620800 10544131974336 10621302374400 10731940940800 10870239148800 10983470806600 11094524395520 11555213122560 11594921758720 12325560664064 12663247257600 12878329128960 13180164967920 13736884404224 13868155494400 13913906110464 14058842632448 14113237401600 14444016403200 14493652198400 15406950830080 16097911411200 16475206209900 16641786593280 17171105505280 17392382638080 17573553290560 18488340996096 18551874813952 19060145356800 19258688537600 20605326606336 20802233241600 21088263948672 21463881881600 21740478297600 21966941613200 23110426245120 23189843517440 24651121328128 25326494515200 25756658257920 26360329935840 27736310988800 27827812220928 28117685264896 28888032806400 28987304396800 30813901660160 32195822822400 32950412419800 33283573186560 34342211010560 34784765276160 35147106581120 36976681992192 38517377075200 41210653212672 41604466483200 42176527897344 42927763763200 43480956595200 43933883226400 46220852490240 46379687034880 51513316515840 52720659871680 55472621977600 55655624441856 56235370529792 57776065612800 57974608793600 61627803320320 64391645644800 65900824839600 68684422021120 69569530552320 70294213162240 73953363984384 77034754150400 83208932966400 84353055794688 85855527526400 86961913190400 87867766452800 92441704980480 92759374069760 103026633031680 105441319743360 112470741059584 115552131225600 115949217587200 123255606640640 128783291289600 131801649679200 139139061104640 140588426324480 154069508300800 166417865932800 168706111589376 171711055052800 173923826380800 175735532905600 184883409960960 206053266063360 210882639486720 224941482119168 231104262451200 231898435174400 257566582579200 263603299358400 278278122209280 281176852648960 308139016601600 337412223178752 343422110105600 347847652761600 351471065811200 369766819921920 421765278973440 449882964238336 462208524902400 463796870348800 515133165158400 527206598716800 562353705297920 616278033203200 674824446357504 695695305523200 702942131622400 843530557946880 899765928476672 924417049804800 1030266330316800 1054413197433600 1124707410595840 1349648892715008 1391390611046400 1405884263244800 1687061115893760 1799531856953344 1848834099609600 2108826394867200 2249414821191680 2699297785430016 2811768526489600 3374122231787520 4217652789734400 4498829642383360 5398595570860032 5623537052979200 6748244463575040 8435305579468800 8997659284766720 11247074105958400 13496488927150080 16870611158937600 22494148211916800 26992977854300160 33741222317875200 44988296423833600 67482444635750400 134964889271500800
- Sum of all divisors σ(n): 461196489181760640
- Sum of proper divisors (its aliquot sum) s(n): 326231599910259840
- 134964889271500800 is an abundant number, because the sum of its proper divisors (326231599910259840) is greater than itself. Its abundance is 191266710638759040
Bases of 134964889271500800
- Binary: 1110111110111110111011010000010100010110110000000000000002
- Hexadecimal: 0x1DF7DDA0A2D8000
- Base-36: 10WX266M2QDC
Squares and roots of 134964889271500800
- 134964889271500800 squared (1349648892715008002) is 18215521336068471744535084400640000
- 134964889271500800 cubed (1349648892715008003) is 2458455820145141600560472956156680171801280512000000
-
The
square root of 134964889271500800 is 367375678.6608237079 -
The
cube root of 134964889271500800 is 512948.3071830955
Scales and comparisons
How big is 134964889271500800?- 134,964,889,271,500,800 seconds is equal to 4,291,466,005 years, 1 week, 13 hours, 20 minutes.
-
To count from 1 to 134,964,889,271,500,800 would take you about twelve billion, eight hundred seventy-four million, three hundred ninety-eight thousand and fifteen 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 134964889271500800 cubic inches would be around 42745.7 feet tall.
Recreational maths with 134964889271500800
- 134964889271500800 backwards is 008005172988469431
- 134964889271500800 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 134964889271500800's digits is 75
- More coming soon!
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"Number 134964889271500800 - Facts about the integer". Numbermatics.com. 2024. Web. 5 May 2024.
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Numbermatics. (2024). Number 134964889271500800 - Facts about the integer. Retrieved 5 May 2024, from https://numbermatics.com/n/134964889271500800/
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The information we have on file for 134964889271500800 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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