13164883590144000
13,164,883,590,144,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13164883590144000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1792 divisors.
13164883590144000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred ninety-two divisors.
Prime factorization of 13164883590144000:
213 × 3 × 53 × 11 × 13 × 1723 × 17393
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 11 × 13 × 1723 × 17393)See below for interesting mathematical facts about the number 13164883590144000 from the Numbermatics database.
Names of 13164883590144000
- Cardinal: 13164883590144000 can be written as Thirteen quadrillion, one hundred sixty-four trillion, eight hundred eighty-three billion, five hundred ninety million, one hundred forty-four thousand.
Scientific notation
- Scientific notation: 1.3164883590144 × 1016
Factors of 13164883590144000
Divisors of 13164883590144000
- Number of divisors d(n): 1792
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 25 26 30 32 33 39 40 44 48 50 52 55 60 64 65 66 75 78 80 88 96 100 104 110 120 125 128 130 132 143 150 156 160 165 176 192 195 200 208 220 240 250 256 260 264 275 286 300 312 320 325 330 352 375 384 390 400 416 429 440 480 500 512 520 528 550 572 600 624 640 650 660 704 715 750 768 780 800 825 832 858 880 960 975 1000 1024 1040 1056 1100 1144 1200 1248 1280 1300 1320 1375 1408 1430 1500 1536 1560 1600 1625 1650 1664 1716 1723 1760 1920 1950 2000 2048 2080 2112 2145 2200 2288 2400 2496 2560 2600 2640 2750 2816 2860 3000 3072 3120 3200 3250 3300 3328 3432 3446 3520 3575 3840 3900 4000 4096 4125 4160 4224 4290 4400 4576 4800 4875 4992 5120 5169 5200 5280 5500 5632 5720 6000 6144 6240 6400 6500 6600 6656 6864 6892 7040 7150 7680 7800 8000 8192 8250 8320 8448 8580 8615 8800 9152 9600 9750 9984 10240 10338 10400 10560 10725 11000 11264 11440 12000 12288 12480 12800 13000 13200 13312 13728 13784 14080 14300 15360 15600 16000 16500 16640 16896 17160 17230 17393 17600 17875 18304 18953 19200 19500 19968 20480 20676 20800 21120 21450 22000 22399 22528 22880 24000 24576 24960 25600 25845 26000 26400 26624 27456 27568 28160 28600 30720 31200 32000 33000 33280 33792 34320 34460 34786 35200 35750 36608 37906 38400 39000 39936 40960 41352 41600 42240 42900 43075 44000 44798 45056 45760 48000 49920 51200 51690 52000 52179 52800 53248 53625 54912 55136 56320 56859 57200 61440 62400 64000 66000 66560 67197 67584 68640 68920 69572 70400 71500 73216 75812 76800 78000 79872 82704 83200 84480 85800 86150 86965 88000 89596 90112 91520 94765 96000 99840 102400 103380 104000 104358 105600 106496 107250 109824 110272 111995 112640 113718 114400 122880 124800 128000 129225 132000 133120 134394 135168 137280 137840 139144 140800 143000 146432 151624 153600 156000 159744 165408 166400 168960 171600 172300 173930 176000 179192 183040 189530 191323 192000 199680 204800 206760 208000 208716 211200 214500 215375 219648 220544 223990 225280 226109 227436 228800 246389 249600 256000 258450 260895 264000 266240 268788 270336 274560 275680 278288 281600 284295 286000 292864 303248 307200 312000 319488 330816 332800 335985 337920 343200 344600 347860 352000 358384 366080 379060 382646 384000 399360 413520 416000 417432 422400 429000 430750 434825 439296 441088 447980 450560 452218 454872 457600 473825 492778 499200 512000 516900 521790 528000 532480 537576 549120 551360 556576 559975 563200 568590 572000 573969 585728 606496 614400 624000 646125 661632 665600 671970 675840 678327 686400 689200 695720 704000 716768 732160 739167 758120 765292 768000 798720 827040 832000 834864 844800 858000 861500 869650 878592 882176 895960 904436 909744 915200 947650 956615 985556 998400 1024000 1033800 1043580 1056000 1075152 1098240 1102720 1113152 1119950 1126400 1130545 1137180 1144000 1147938 1171456 1212992 1231945 1248000 1292250 1304475 1323264 1331200 1343940 1351680 1356654 1372800 1378400 1391440 1408000 1421475 1433536 1464320 1478334 1516240 1530584 1536000 1597440 1654080 1664000 1669728 1679925 1689600 1716000 1723000 1739300 1757184 1764352 1791920 1808872 1819488 1830400 1895300 1913230 1971112 1996800 2067600 2087160 2112000 2150304 2174125 2196480 2205440 2226304 2239900 2252800 2261090 2274360 2288000 2295876 2369125 2425984 2463890 2487199 2496000 2584500 2608950 2646528 2662400 2687880 2713308 2745600 2756800 2782880 2799875 2816000 2842950 2867072 2869845 2928640 2956668 3032480 3061168 3072000 3308160 3328000 3339456 3359850 3379200 3391635 3432000 3446000 3478600 3514368 3528704 3583840 3617744 3638976 3660800 3695835 3790600 3826460 3942224 3993600 4135200 4174320 4224000 4300608 4348250 4392960 4410880 4452608 4479800 4522180 4548720 4576000 4591752 4738250 4783075 4851968 4927780 4974398 4992000 5169000 5217900 5293056 5375760 5426616 5491200 5513600 5565760 5599750 5632000 5652725 5685900 5734144 5739690 5857280 5913336 6064960 6122336 6159725 6522375 6616320 6656000 6678912 6719700 6758400 6783270 6864000 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958980448000 988948587000 997339665920 1012683353088 1028506530480 1054878492800 1071360969250 1097073632512 1150776537600 1168757421000 1196807599104 1227494973440 1246674582400 1265854191360 1273445888000 1285633163100 1318598116000 1350244470784 1371342040640 1438470672000 1496009498880 1528135065600 1534368716800 1558343228000 1582317739200 1595743465472 1607041453875 1645610448768 1687805588480 1714177550800 1841242460160 1870011873600 1910168832000 1917960896000 1977897174000 1994679331840 2025366706176 2057013060960 2109756985600 2142721938500 2194147265024 2301553075200 2337514842000 2393615198208 2493349164800 2531708382720 2546891776000 2571266326200 2637196232000 2700488941568 2742684081280 2876941344000 2992018997760 3068737433600 3116686456000 3164635478400 3191486930944 3214082907750 3291220897536 3375611176960 3428355101600 3682484920320 3740023747200 3820337664000 3835921792000 3955794348000 3989358663680 4050733412352 4114026121920 4219513971200 4285443877000 4388294530048 4603106150400 4675029684000 4787230396416 4986698329600 5063416765440 5142532652400 5274392464000 5485368162560 5753882688000 5984037995520 6137474867200 6233372912000 6329270956800 6428165815500 6582441795072 6751222353920 6856710203200 7480047494400 7640675328000 7671843584000 7911588696000 7978717327360 8101466824704 8228052243840 8439027942400 8570887754000 8776589060096 9206212300800 9350059368000 9574460792832 9973396659200 10126833530880 10285065304800 10548784928000 10970736325120 11507765376000 11968075991040 12466745824000 12658541913600 12856331631000 13164883590144 13502444707840 13713420406400 14960094988800 15343687168000 15823177392000 15957434654720 16456104487680 16878055884800 17141775508000 17553178120192 18412424601600 18700118736000 19946793318400 20253667061760 20570130609600 21097569856000 21941472650240 23015530752000 23936151982080 24933491648000 25317083827200 25712663262000 26329767180288 27426840812800 29920189977600 30687374336000 31646354784000 32912208975360 33756111769600 34283551016000 35106356240384 37400237472000 39893586636800 40507334123520 41140261219200 42195139712000 43882945300480 46031061504000 47872303964160 49866983296000 50634167654400 51425326524000 52659534360576 54853681625600 59840379955200 63292709568000 65824417950720 67512223539200 68567102032000 74800474944000 79787173273600 82280522438400 84390279424000 87765890600960 92062123008000 99733966592000 101268335308800 102850653048000 105319068721152 109707363251200 119680759910400 126585419136000 131648835901440 137134204064000 149600949888000 164561044876800 168780558848000 175531781201920 199467933184000 202536670617600 205701306096000 219414726502400 239361519820800 253170838272000 263297671802880 274268408128000 299201899776000 329122089753600 337561117696000 398935866368000 411402612192000 438829453004800 506341676544000 526595343605760 548536816256000 598403799552000 658244179507200 822805224384000 877658906009600 1012683353088000 1097073632512000 1196807599104000 1316488359014400 1645610448768000 2194147265024000 2632976718028800 3291220897536000 4388294530048000 6582441795072000 13164883590144000
- Sum of all divisors σ(n): 51501992335911936
- Sum of proper divisors (its aliquot sum) s(n): 38337108745767936
- 13164883590144000 is an abundant number, because the sum of its proper divisors (38337108745767936) is greater than itself. Its abundance is 25172225155623936
Bases of 13164883590144000
- Binary: 1011101100010101100100010100011110011001100000000000002
- Hexadecimal: 0x2EC56451E66000
- Base-36: 3LMK812CLXC
Squares and roots of 13164883590144000
- 13164883590144000 squared (131648835901440002) is 173314159942042774573940736000000
- 13164883590144000 cubed (131648835901440003) is 2281660740160591513098195796537569705984000000000
-
The
square root of 13164883590144000 is 114738326.5964080549 -
The
cube root of 13164883590144000 is 236123.3889273175
Scales and comparisons
How big is 13164883590144000?- 13,164,883,590,144,000 seconds is equal to 418,602,576 years, 26 weeks, 2 days, 21 hours, 20 minutes.
-
To count from 1 to 13,164,883,590,144,000 would take you about one billion, two hundred fifty-five million, eight hundred seven thousand, seven hundred twenty-nine 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 13164883590144000 cubic inches would be around 19676.9 feet tall.
Recreational maths with 13164883590144000
- 13164883590144000 backwards is 00044109538846131
- The number of decimal digits it has is: 17
- The sum of 13164883590144000's digits is 57
- More coming soon!
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MLA style:
"Number 13164883590144000 - Facts about the integer". Numbermatics.com. 2024. Web. 27 September 2024.
APA style:
Numbermatics. (2024). Number 13164883590144000 - Facts about the integer. Retrieved 27 September 2024, from https://numbermatics.com/n/13164883590144000/
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Numbermatics. 2024. "Number 13164883590144000 - Facts about the integer". https://numbermatics.com/n/13164883590144000/
The information we have on file for 13164883590144000 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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