128973913328000
128,973,913,328,000 is an even composite number composed of seven prime numbers multiplied together.
128973913328000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and twenty-four divisors.
Prime factorization of 128973913328000:
27 × 53 × 13 × 17 × 61 × 73 × 8191
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 17 × 61 × 73 × 8191)See below for interesting mathematical facts about the number 128973913328000 from the Numbermatics database.
Names of 128973913328000
- Cardinal: 128973913328000 can be written as One hundred twenty-eight trillion, nine hundred seventy-three billion, nine hundred thirteen million, three hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.28973913328 × 1014
Factors of 128973913328000
Divisors of 128973913328000
- Number of divisors d(n): 1024
-
Complete list of divisors:
1 2 4 5 8 10 13 16 17 20 25 26 32 34 40 50 52 61 64 65 68 73 80 85 100 104 122 125 128 130 136 146 160 170 200 208 221 244 250 260 272 292 305 320 325 340 365 400 416 425 442 488 500 520 544 584 610 640 650 680 730 793 800 832 850 884 949 976 1000 1037 1040 1088 1105 1168 1220 1241 1300 1360 1460 1525 1586 1600 1625 1664 1700 1768 1825 1898 1952 2000 2074 2080 2125 2176 2210 2336 2440 2482 2600 2720 2920 3050 3172 3200 3250 3400 3536 3650 3796 3904 3965 4000 4148 4160 4250 4420 4453 4672 4745 4880 4964 5185 5200 5440 5525 5840 6100 6205 6344 6500 6800 7072 7300 7592 7625 7808 7930 8000 8191 8296 8320 8500 8840 8906 9125 9344 9490 9760 9928 10370 10400 10880 11050 11680 12200 12410 12688 13000 13481 13600 14144 14600 15184 15250 15860 16000 16133 16382 16592 17000 17680 17812 18250 18980 19520 19825 19856 20740 20800 22100 22265 23360 23725 24400 24820 25376 25925 26000 26962 27200 27625 28288 29200 30368 30500 31025 31720 32266 32764 33184 34000 35360 35624 36500 37960 39040 39650 39712 40955 41480 41600 44200 44530 46720 47450 48800 49640 50752 51850 52000 53924 54400 55250 57889 58400 60736 61000 62050 63440 64532 65528 66368 67405 68000 70720 71248 73000 75701 75920 79300 79424 80665 81910 82960 88400 89060 94900 97600 99125 99280 101504 103700 104000 106483 107848 110500 111325 115778 116800 118625 121472 122000 124100 126880 129064 129625 131056 132736 134810 136000 139247 141440 142496 146000 151402 151840 155125 158600 158848 161330 163820 165920 176800 178120 189800 195200 198250 198560 204775 207400 208000 212966 215696 221000 222650 231556 233600 237250 244000 248200 253760 258128 259250 262112 269620 272000 278494 284992 289445 292000 302804 303680 310250 317200 322660 327640 331840 337025 353600 356240 378505 379600 396500 397120 403325 409550 414800 425932 431392 442000 445300 463112 474500 488000 496400 499651 507520 516256 518500 524224 532415 539240 556625 556988 569984 578890 584000 597943 605608 607360 620500 634400 645320 655280 663680 674050 696235 707200 712480 757010 759200 793000 794240 806650 819100 829600 851864 862784 884000 890600 926224 949000 976000 984113 992800 999302 1023875 1032512 1037000 1048448 1064830 1078480 1113250 1113976 1157780 1168000 1195886 1211216 1241000 1268800 1290640 1310560 1348100 1392470 1424960 1447225 1514020 1518400 1586000 1613300 1638200 1659200 1685125 1703728 1725568 1768000 1781200 1810211 1852448 1892525 1898000 1968226 1985600 1998604 2016625 2047750 2065024 2074000 2129660 2156960 2226500 2227952 2315560 2391772 2422432 2482000 2498255 2537600 2581280 2621120 2662075 2696200 2784940 2849920 2894450 2989715 3028040 3036800 3172000 3226600 3276400 3318400 3370250 3407456 3481175 3536000 3562400 3620422 3704896 3785050 3796000 3936452 3971200 3997208 4033250 4095500 4148000 4259320 4313920 4453000 4455904 4631120 4783544 4844864 4920565 4964000 4996510 5162560 5242240 5324150 5392400 5569880 5788900 5979430 6056080 6344000 6453200 6495463 6552800 6740500 6814912 6962350 7124800 7236125 7240844 7409792 7570100 7592000 7773259 7872904 7994416 8066500 8191000 8296000 8494067 8518640 8627840 8906000 8911808 9051055 9262240 9462625 9567088 9689728 9841130 9928000 9993020 10165031 10325120 10648300 10784800 11139760 11577800 11958860 12112160 12491275 12688000 12906400 12990926 13105600 13310375 13481000 13629824 13924700 14249600 14472250 14481688 14948575 15140200 15184000 15546518 15745808 15988832 16133000 16382000 16592000 16988134 17037280 17405875 17812000 17823616 18102110 18524480 18925250 19134176 19682260 19856000 19986040 20330062 21296600 21569600 22279520 23155600 23917720 24224320 24602825 24982550 25812800 25981852 26211200 26620750 26962000 27849400 28944500 28963376 29897150 30280400 31093036 31491616 31977664 32266000 32477315 32764000 33976268 34074560 34811750 35624000 36204220 36474523 37048960 37850500 38268352 38866295 39364520 39972080 40660124 42470335 42593200 43139200 44559040 45255275 46311200 47835440 48448640 49205650 49965100 50825155 51625600 51963704 53241500 53924000 55698800 57889000 57926752 59794300 60560800 62186072 62456375 62983232 63955328 64532000 64954630 65528000 67952536 68149120 69623500 71248000 72408440 72949046 74742875 75701000 76536704 77732590 78729040 79944160 81320248 84940670 85186400 89118080 90510550 92622400 95670880 98411300 99930200 101650310 103927408 106483000 107848000 110422871 111397600 115778000 115853504 119588600 121121600 123014125 124372144 124912750 125966464 129064000 129909260 131056000 132145403 135905072 139247000 144816880 145898092 149485750 151402000 155465180 157458080 159888320 162386575 162640496 169881340 170372800 181021100 182372615 185244800 191341760 194331475 196822600 199860400 203300620 207854816 212351675 212966000 215696000 220845742 222795200 226276375 231556000 231707008 239177200 242243200 246028250 248744288 249825500 254125775 258128000 259818520 264290806 271810144 278494000 289633760 291796184 298971500 302804000 310930360 314916160 319776640 324773150 325280992 339762680 340745600 362042200 364745230 382683520 388662950 393645200 399720800 406601240 415709632 424703350 425932000 441691484 445590400 452552750 463112000 474168799 478354400 492056500 497488576 499651000 508251550 519637040 528581612 543620288 552114355 556988000 579267520 583592368 597943000 605608000 620066891 621860720 629832320 649546300 650561984 660727015 679525360 724084400 729490460 777325900 787290400 799441600 811932875 813202480 831419264 849406700 851864000 883382968 905105500 911863075 926224000 948337598 956708800 971657375 984113000 994977152 999302000 1016503100 1039274080 1057163224 1061758375 1087240576 1104228710 1113976000 1158535040 1167184736 1195886000 1211216000 1240133782 1243721440 1270628875 1299092600 1301123968 1321454030 1359050720 1448168800 1458980920 1554651800 1574580800 1598883200 1623865750 1626404960 1698813400 1703728000 1766765936 1810211000 1823726150 1896675196 1913417600 1943314750 1968226000 1998604000 2033006200 2078548160 2114326448 2123516750 2208457420 2227952000 2334369472 2370843995 2391772000 2480267564 2487442880 2541257750 2598185200 2642908060 2718101440 2760571775 2896337600 2917961840 3100334455 3109303600 3149161600 3247731500 3252809920 3303635075 3397626800 3533531872 3620422000 3647452300 3793350392 3886629500 3936452000 3997208000 4066012400 4157096320 4228652896 4247033500 4416914840 4559315375 4668738944 4741687990 4783544000 4960535128 4974885760 5082515500 5196370400 5285816120 5436202880 5521143550 5792675200 5835923680 6200668910 6218607200 6495463000 6505619840 6607270150 6795253600 7067063744 7240844000 7294904600 7586700784 7773259000 7872904000 7994416000 8060869583 8132024800 8457305792 8494067000 8833829680 9118630750 9483375980 9567088000 9921070256 10165031000 10392740800 10571632240 11042287100 11671847360 11854219975 12401337820 12437214400 12990926000 13214540300 13590507200 13802858875 14134127488 14481688000 14589809200 15173401568 15501672275 15546518000 15745808000 16121739166 16264049600 16518175375 16914611584 16988134000 17667659360 18237261500 18966751960 19842140512 20330062000 20785481600 21143264480 22084574200 23343694720 23708439950 24802675640 24874428800 25981852000 26429080600 27181014400 27605717750 28963376000 29179618400 30346803136 31003344550 31093036000 32243478332 32528099200 33036350750 33976268000 35335318720 36474523000 37933503920 39684281024 40304347915 40660124000 42286528960 44169148400 47416879900 49605351280 51963704000 52858161200 55211435500 58359236800 59271099875 60693606272 62006689100 62186072000 64486956664 66072701500 67952536000 70670637440 72949046000 75867007840 77508361375 79368562048 80608695830 81320248000 84573057920 88338296800 94833759800 99210702560 103927408000 105716322400 110422871000 116718473600 118542199750 124013378200 124372144000 128973913328 132145403000 135905072000 145898092000 151734015680 155016722750 161217391660 162640496000 176676593600 189667519600 198421405120 201521739575 211432644800 220845742000 237084399500 248026756400 257947826656 264290806000 291796184000 303468031360 310033445500 322434783320 353353187200 379335039200 396842810240 403043479150 422865289600 441691484000 474168799000 496053512800 515895653312 528581612000 583592368000 620066891000 644869566640 758670078400 806086958300 883382968000 948337598000 992107025600 1007608697875 1031791306624 1057163224000 1240133782000 1289739133280 1517340156800 1612173916600 1766765936000 1896675196000 1984214051200 2015217395750 2114326448000 2480267564000 2579478266560 3224347833200 3793350392000 4030434791500 4960535128000 5158956533120 6448695666400 7586700784000 8060869583000 9921070256000 12897391332800 16121739166000 25794782665600 32243478332000 64486956664000 128973913328000
- Sum of all divisors σ(n): 376772045045760
- Sum of proper divisors (its aliquot sum) s(n): 247798131717760
- 128973913328000 is an abundant number, because the sum of its proper divisors (247798131717760) is greater than itself. Its abundance is 118824218389760
Bases of 128973913328000
- Binary: 111010101001101000101000100101000001001100000002
- Hexadecimal: 0x754D144A0980
- Base-36: 19PTSPZK3K
Squares and roots of 128973913328000
- 128973913328000 squared (1289739133280002) is 16634270319138456035584000000
- 128973913328000 cubed (1289739133280003) is 2145386938415086128365149299863552000000000
-
The
square root of 128973913328000 is 11356668.2318363073 -
The
cube root of 128973913328000 is 50524.3372975879
Scales and comparisons
How big is 128973913328000?- 128,973,913,328,000 seconds is equal to 4,100,971 years, 26 weeks, 11 hours, 33 minutes, 20 seconds.
-
To count from 1 to 128,973,913,328,000 would take you about ten million, two hundred fifty-two thousand, four hundred twenty-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 128973913328000 cubic inches would be around 4210.4 feet tall.
Recreational maths with 128973913328000
- 128973913328000 backwards is 000823319379821
- The number of decimal digits it has is: 15
- The sum of 128973913328000's digits is 56
- More coming soon!
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The information we have on file for 128973913328000 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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