12988293274320
12,988,293,274,320 is an even composite number composed of eight prime numbers multiplied together.
What does the number 12988293274320 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1280 divisors.
12988293274320 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, two hundred eighty divisors.
Prime factorization of 12988293274320:
24 × 3 × 5 × 73 × 13 × 37 × 331 × 991
(2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 7 × 13 × 37 × 331 × 991)See below for interesting mathematical facts about the number 12988293274320 from the Numbermatics database.
Names of 12988293274320
- Cardinal: 12988293274320 can be written as Twelve trillion, nine hundred eighty-eight billion, two hundred ninety-three million, two hundred seventy-four thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.298829327432 × 1013
Factors of 12988293274320
Divisors of 12988293274320
- Number of divisors d(n): 1280
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 35 37 39 40 42 48 49 52 56 60 65 70 74 78 80 84 91 98 104 105 111 112 120 130 140 147 148 156 168 182 185 195 196 208 210 222 240 245 259 260 273 280 294 296 312 331 336 343 364 370 390 392 420 444 455 481 490 518 520 546 555 560 588 592 624 637 662 686 728 735 740 777 780 784 840 888 910 962 980 991 993 1029 1036 1040 1092 1110 1176 1274 1295 1324 1365 1372 1443 1456 1470 1480 1554 1560 1655 1680 1715 1776 1813 1820 1911 1924 1960 1982 1986 2058 2072 2184 2220 2317 2352 2405 2548 2590 2648 2730 2744 2886 2940 2960 2973 3108 3120 3185 3310 3367 3430 3626 3640 3822 3848 3885 3920 3964 3972 4116 4144 4303 4368 4440 4459 4634 4810 4955 4965 5096 5145 5180 5296 5439 5460 5488 5772 5880 5946 6216 6370 6620 6734 6860 6937 6951 7215 7252 7280 7644 7696 7770 7928 7944 8232 8606 8880 8918 9065 9268 9555 9620 9910 9930 10101 10192 10290 10360 10878 10920 11544 11585 11760 11892 12247 12432 12691 12740 12883 12909 13240 13377 13468 13720 13874 13902 14430 14504 14865 15288 15540 15856 15888 16219 16464 16835 17212 17836 18130 18536 19110 19240 19820 19860 20202 20580 20720 20811 21515 21756 21840 22295 23088 23170 23569 23784 24494 25382 25480 25766 25818 26480 26754 26936 27195 27440 27748 27804 28860 29008 29730 30121 30576 31080 32438 33670 34424 34685 34755 35672 36260 36667 36741 37072 38073 38220 38480 38649 39640 39720 40404 41160 41622 43030 43512 44590 46340 47138 47568 48559 48657 48988 50505 50764 50960 51532 51636 53508 53872 54390 55496 55608 57720 59460 60242 61235 62160 63455 64415 64545 64876 66885 67340 68848 69370 69510 70707 71344 72520 73334 73482 76146 76440 77298 79280 79440 80808 81095 82320 83244 85729 86060 87024 89180 90181 90363 92680 94276 97118 97314 97976 101010 101528 103064 103272 104055 107016 108780 110001 110992 111216 113533 115440 117845 118920 120484 122470 126910 128830 129090 129752 133770 134680 138740 139020 141414 145040 145677 146668 146964 150605 152292 152880 154596 159211 161616 162190 164983 166488 171458 172120 178360 180362 180726 183335 183705 185360 188552 190365 193245 194236 194628 195952 202020 203056 206128 206544 208110 210847 214032 217560 220002 227066 235690 237840 240968 242795 243285 244940 253820 256669 257187 257660 258180 259504 267540 269360 270543 277480 278040 282828 291354 293336 293928 301210 304584 309192 318422 324380 328021 329966 332976 339913 340599 342916 344240 353535 356720 360724 361452 366670 367410 377104 380730 386490 388472 389256 404040 416220 421694 428645 435120 440004 450905 451815 454132 471380 476671 477633 481936 485590 486570 489880 494949 507640 513338 514374 515320 516360 535080 541086 550005 554960 556080 565656 567665 582708 586672 587856 600103 602420 609168 618384 631267 632541 636844 648760 656042 659932 679826 681198 685832 707070 721448 722904 728385 733340 734820 761460 770007 772980 776944 778512 796055 808080 824915 832440 843388 857290 880008 901810 903630 908264 942760 953342 955266 971180 973140 979760 984063 989898 1015280 1019739 1026676 1028748 1030640 1032720 1054235 1070160 1082172 1100010 1114477 1131312 1135330 1165416 1200206 1204840 1262534 1265082 1273688 1283345 1285935 1297520 1312084 1319864 1352715 1359652 1362396 1371664 1414140 1430013 1442896 1445808 1456770 1466680 1469640 1475929 1522920 1540014 1545960 1592110 1640105 1649830 1664880 1686776 1699565 1702995 1714580 1760016 1796683 1800309 1803620 1807260 1816528 1885520 1893801 1906684 1910532 1942360 1946280 1968126 1979796 2039478 2053352 2057496 2108470 2164344 2200020 2228954 2270660 2296147 2330832 2383355 2388165 2400412 2409680 2474745 2525068 2530164 2547376 2566690 2571870 2624168 2639728 2705430 2719304 2724792 2828280 2860026 2913540 2933360 2939280 2951858 3000515 3045840 3080028 3091920 3156335 3162705 3184220 3280210 3299660 3336697 3343431 3373552 3399130 3405990 3429160 3593366 3600618 3607240 3614520 3787602 3813368 3821064 3850035 3884720 3892560 3936252 3959592 4078956 4106704 4114992 4200721 4216940 4264273 4328688 4400040 4418869 4427787 4457908 4541320 4592294 4766710 4776330 4800824 4920315 4949490 5050136 5060328 5098695 5133380 5143740 5248336 5390049 5410860 5438608 5449584 5572385 5656560 5720052 5827080 5903716 6001030 6160056 6312670 6325410 6368440 6560420 6599320 6673394 6686862 6798260 6811980 6858320 6888441 7150065 7186732 7201236 7214480 7229040 7379645 7575204 7626736 7642128 7700070 7801339 7872504 7919184 8157912 8401442 8433880 8528546 8800080 8837738 8855574 8915816 8983415 9001545 9082640 9184588 9469005 9533420 9552660 9601648 9840630 9898980 10010091 10100272 10120656 10197390 10266760 10287480 10780098 10821720 11144770 11440104 11480735 11654160 11807432 12002060 12136777 12320112 12576781 12602163 12625340 12650820 12736880 12792819 13120840 13198640 13256607 13346788 13373724 13596520 13623960 13776882 14300130 14373464 14402472 14759290 15150408 15400140 15602678 15745008 16073029 16315824 16683485 16717155 16802884 16867760 17057092 17675476 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301842744 312053560 315556202 321460580 326996306 327656238 336057680 337533609 339829756 341141840 350353185 353509520 354222960 358198932 364103310 373710064 374464272 377303430 385752696 400403640 417898754 424787195 431203920 436874984 447748665 450044812 467137580 468080340 473334303 477598576 482190870 485471080 490494459 503071240 504086520 509744634 511712760 530264280 546093730 551075280 560565096 562556015 582565296 594702073 596998220 603685488 624107120 626848131 631112404 642921160 653992612 655312476 675067218 679659512 700706370 716397864 728206620 754606860 771505392 788890505 800807280 817490765 819140595 835797508 849574390 873749968 895497330 900089624 934275160 936160680 946668606 964381740 970942160 980988918 1006142480 1008173040 1019489268 1023425520 1044746885 1060528560 1092187460 1104446707 1121130192 1125112030 1189404146 1193996440 1253696262 1262224808 1274361585 1285842320 1307985224 1310624952 1350134436 1359319024 1401412740 1432795728 1456413240 1462645639 1509213720 1577781010 1634981530 1638281190 1671595016 1687668045 1699148780 1784106219 1790994660 1800179248 1868550320 1872321360 1893337212 1928763480 1961977836 2038978536 2089493770 2184374920 2208893414 2250224060 2366671515 2378808292 2387992880 2452472295 2507392524 2524449616 2548723170 2615970448 2621249904 2700268872 2802825480 2912826480 2925291278 2973510365 3018427440 3134240655 3155562020 3269963060 3276562380 3313340121 3343190032 3375336090 3398297560 3568212438 3581989320 3786674424 3857526960 3923955672 4077957072 4162914511 4178987540 4368749840 4387936917 4417786828 4500448120 4733343030 4757616584 4904944590 5014785048 5097446340 5400537744 5522233535 5605650960 5850582556 5947020730 6268481310 6311124040 6539926120 6553124760 6626680242 6750672180 6796595120 7136424876 7163978640 7313228195 7573348848 7731126949 7847911344 8325829022 8357975080 8775873834 8835573656 8920531095 9000896240 9466686060 9515233168 9809889180 10029570096 10194892680 11044467070 11701165112 11894041460 12488743533 12536962620 12622248080 13079852240 13106249520 13253360484 13501344360 14272849752 14626456390 15462253898 16566700605 16651658044 16715950160 17551747668 17671147312 17841062190 18933372120 19619778360 20389785360 20814572555 21939684585 22088934140 23193380847 23402330224 23788082920 24977487066 25073925240 26506720968 27002688720 28545699504 29252912780 30924507796 33133401210 33303316088 35103495336 35682124380 37866744240 38655634745 39239556720 41629145110 43879369170 44177868280 46386761694 47576165840 49954974132 50147850480 53013441936 54117888643 58505825560 61849015592 62443717665 66266802420 66606632176 70206990672 71364248760 77311269490 83258290220 87758738340 88355736560 92773523388 99909948264 108235777286 115966904235 117011651120 123698031184 124887435330 132533604840 142728497520 154622538980 162353665929 166516580440 175517476680 185547046776 199819896528 216471554572 231933808470 249774870660 265067209680 270589443215 309245077960 324707331858 333033160880 351034953360 371094093552 432943109144 463867616940 499549741320 541178886430 618490155920 649414663716 811768329645 865886218288 927735233880 999099482640 1082357772860 1298829327432 1623536659290 1855470467760 2164715545720 2597658654864 3247073318580 4329431091440 6494146637160 12988293274320
- Sum of all divisors σ(n): 52142795980800
- Sum of proper divisors (its aliquot sum) s(n): 39154502706480
- 12988293274320 is an abundant number, because the sum of its proper divisors (39154502706480) is greater than itself. Its abundance is 26166209432160
Bases of 12988293274320
- Binary: 101111010000000100101001101101011010110100002
- Hexadecimal: 0xBD0129B5AD0
- Base-36: 4LQQMGU6O
Squares and roots of 12988293274320
- 12988293274320 squared (129882932743202) is 168695762179746146771462400
- 12988293274320 cubed (129882932743203) is 2191070033325483101036720672030765568000
-
The
square root of 12988293274320 is 3603927.4790594775 -
The
cube root of 12988293274320 is 23506.2866984939
Scales and comparisons
How big is 12988293274320?- 12,988,293,274,320 seconds is equal to 412,987 years, 28 weeks, 4 days, 10 hours, 52 minutes.
-
To count from 1 to 12,988,293,274,320 would take you about one million, thirty-two thousand, four hundred sixty-eight 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 12988293274320 cubic inches would be around 1958.9 feet tall.
Recreational maths with 12988293274320
- 12988293274320 backwards is 02347239288921
- 12988293274320 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 12988293274320's digits is 60
- More coming soon!
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The information we have on file for 12988293274320 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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