13070964688144000
13,070,964,688,144,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 13070964688144000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2048 divisors.
13070964688144000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand and forty-eight divisors.
Prime factorization of 13070964688144000:
27 × 53 × 11 × 233 × 41 × 533
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 23 × 23 × 23 × 41 × 53 × 53 × 53)See below for interesting mathematical facts about the number 13070964688144000 from the Numbermatics database.
Names of 13070964688144000
- Cardinal: 13070964688144000 can be written as Thirteen quadrillion, seventy trillion, nine hundred sixty-four billion, six hundred eighty-eight million, one hundred forty-four thousand.
Scientific notation
- Scientific notation: 1.3070964688144 × 1016
Factors of 13070964688144000
Divisors of 13070964688144000
- Number of divisors d(n): 2048
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 23 25 32 40 41 44 46 50 53 55 64 80 82 88 92 100 106 110 115 125 128 160 164 176 184 200 205 212 220 230 250 253 265 275 320 328 352 368 400 410 424 440 451 460 500 506 529 530 550 575 583 640 656 704 736 800 820 848 880 902 920 943 1000 1012 1025 1058 1060 1100 1150 1166 1219 1265 1312 1325 1375 1408 1472 1600 1640 1696 1760 1804 1840 1886 2000 2024 2050 2116 2120 2173 2200 2255 2300 2332 2438 2530 2624 2645 2650 2750 2809 2875 2915 2944 3200 3280 3392 3520 3608 3680 3772 4000 4048 4100 4232 4240 4346 4400 4510 4600 4664 4715 4876 5060 5125 5248 5290 5300 5500 5618 5750 5819 5830 6095 6325 6560 6625 6784 7040 7216 7360 7544 8000 8096 8200 8464 8480 8692 8800 9020 9200 9328 9430 9752 10120 10250 10373 10580 10600 10865 11000 11236 11275 11500 11638 11660 12167 12190 12650 13120 13225 13250 13409 14045 14432 14575 14720 15088 16000 16192 16400 16928 16960 17384 17600 18040 18400 18656 18860 19504 20240 20500 20746 21160 21200 21689 21730 22000 22472 22550 23000 23276 23320 23575 23903 24334 24380 25300 26240 26450 26500 26818 28037 28090 28864 29095 29150 30176 30475 30899 31625 32384 32800 33856 33920 34768 35200 36080 36800 37312 37720 39008 40480 41000 41492 42320 42400 43378 43460 44000 44944 45100 46000 46552 46640 47150 47806 48668 48760 49979 50600 51865 52900 53000 53636 54325 56074 56180 56375 57728 58190 58300 60352 60835 60950 61798 63250 64607 65600 66125 67045 67712 69536 70225 72160 72875 73600 74624 75440 78016 80960 82000 82984 84640 84800 86756 86920 88000 89888 90200 92000 93104 93280 94300 95612 97336 97520 99958 101200 103730 105800 106000 107272 108445 108650 112148 112360 112750 115169 116380 116600 117875 119515 120704 121670 121900 123596 126500 129214 131200 132250 133837 134090 139072 140185 140450 144320 145475 145750 148877 150880 152375 154495 156032 161920 164000 165968 169280 169600 173512 173840 176000 179776 180400 184000 186208 186560 188600 191224 194672 195040 199916 202400 207460 211600 212000 214544 216890 217300 224296 224720 225500 230338 232760 233200 235750 238579 239030 243340 243800 247192 249895 253000 258428 259325 264500 267674 268180 271625 278144 280370 280900 288640 290950 291500 297754 301760 304175 304750 308407 308990 323035 328000 331936 335225 338560 347024 347680 351125 359552 360800 368000 372416 373120 377200 382448 389344 390080 399832 404800 414920 423200 424000 429088 433780 434600 448592 449440 451000 460676 465520 466400 471500 477158 478060 486680 487600 494384 498847 499790 506000 516856 518650 529000 535348 536360 542225 543250 549769 560740 561800 575845 581900 583000 595508 597575 603520 608350 609500 616814 617980 644851 646070 656000 663872 669185 670450 694048 695360 700925 702250 710677 721600 727375 744385 744832 754400 764896 772475 778688 780160 799664 809600 829840 846400 848000 858176 867560 869200 897184 898880 902000 921352 931040 932800 943000 954316 956120 973360 975200 988768 997694 999580 1012000 1033712 1037300 1058000 1070696 1072720 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280782022000 284151406264 289821833440 290827801000 297067379276 300758506400 301327048000 308277469060 308860224200 315023732000 318804016784 322899325300 335084205500 346526105200 350315305750 355189257830 362277291800 371334224095 375948133000 385346836325 386075280250 398505020980 403624156625 413311136384 423022256000 428907783040 433157631500 448403591360 449251235200 452846614750 465324481600 466204112000 487395208000 493243950496 494176358720 498131276225 516638920480 536134728800 537148216000 546833648000 554441768320 560504489200 561564044000 568302812528 579643666880 581655602000 594134758552 601517012800 602654096000 616554938120 617720448400 630047464000 637608033568 645798650600 670168411000 693052210400 700630611500 710378515660 724554583600 742668448190 751896266000 770693672650 772150560500 797010041960 807248313250 816935293009 866315263000 887973144575 896807182720 905693229500 930648963200 974790416000 986487900992 988352717440 996262552450 1033277840960 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4981312762250 5166389204800 5361347288000 5605044892000 5683028125280 5796436668800 5941347585520 6015170128000 6165549381200 6177204484000 6376080335680 6457986506000 6535482344072 6930522104000 7103785156600 7245545836000 7426684481900 7706936726500 7970100419600 8169352930090 8879731445750 9283355602375 9506156136832 9864879009920 9962625524500 10332778409600 10722694576000 11210089784000 11366056250560 11882695171040 12331098762400 12354408968000 12752160671360 12915973012000 13070964688144 13861044208000 14207570313200 14491091672000 14853368963800 15413873453000 15940200839200 16338705860180 17759462891500 18566711204750 19925251049000 20423382325225 22420179568000 22732112501120 23765390342080 24662197524800 24708817936000 25831946024000 26141929376288 28415140626400 28982183344000 29706737927600 30827746906000 31880401678400 32677411720360 35518925783000 37133422409500 39850502098000 40846764650450 47530780684160 49324395049600 51663892048000 52283858752576 56830281252800 59413475855200 61655493812000 63760803356800 65354823440720 71037851566000 74266844819000 79701004196000 81693529300900 102116911626125 104567717505152 113660562505600 118826951710400 123310987624000 130709646881440 142075703132000 148533689638000 159402008392000 163387058601800 204233823252250 237653903420800 246621975248000 261419293762880 284151406264000 297067379276000 318804016784000 326774117203600 408467646504500 522838587525760 568302812528000 594134758552000 653548234407200 816935293009000 1188269517104000 1307096468814400 1633870586018000 2614192937628800 3267741172036000 6535482344072000 13070964688144000
- Sum of all divisors σ(n): 38697464123136000
- Sum of proper divisors (its aliquot sum) s(n): 25626499434992000
- 13070964688144000 is an abundant number, because the sum of its proper divisors (25626499434992000) is greater than itself. Its abundance is 12555534746848000
Bases of 13070964688144000
- Binary: 1011100110111111111001000111110001101111000110100000002
- Hexadecimal: 0x2E6FF91F1BC680
- Base-36: 3KP9QA50HOG
Squares and roots of 13070964688144000
- 13070964688144000 squared (130709646881440002) is 170850117878707375174164736000000
- 13070964688144000 cubed (130709646881440003) is 2233175857757823984961208976175922089984000000000
-
The
square root of 13070964688144000 is 114328319.7118894073 -
The
cube root of 13070964688144000 is 235560.5432014281
Scales and comparisons
How big is 13070964688144000?- 13,070,964,688,144,000 seconds is equal to 415,616,245 years, 48 weeks, 4 days, 4 hours, 26 minutes, 40 seconds.
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To count from 1 to 13,070,964,688,144,000 would take you about one billion, two hundred forty-six million, eight hundred forty-eight thousand, seven hundred thirty-seven 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 13070964688144000 cubic inches would be around 19630 feet tall.
Recreational maths with 13070964688144000
- 13070964688144000 backwards is 00044188646907031
- The number of decimal digits it has is: 17
- The sum of 13070964688144000's digits is 61
- More coming soon!
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The information we have on file for 13070964688144000 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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