1138064288064000
1,138,064,288,064,000 is an even composite number composed of six prime numbers multiplied together.
1138064288064000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 1138064288064000:
29 × 3 × 53 × 113 × 372 × 3253
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 11 × 11 × 11 × 37 × 37 × 3253)See below for interesting mathematical facts about the number 1138064288064000 from the Numbermatics database.
Names of 1138064288064000
- Cardinal: 1138064288064000 can be written as One quadrillion, one hundred thirty-eight trillion, sixty-four billion, two hundred eighty-eight million, sixty-four thousand.
Scientific notation
- Scientific notation: 1.138064288064 × 1015
Factors of 1138064288064000
Divisors of 1138064288064000
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 32 33 37 40 44 48 50 55 60 64 66 74 75 80 88 96 100 110 111 120 121 125 128 132 148 150 160 165 176 185 192 200 220 222 240 242 250 256 264 275 296 300 320 330 352 363 370 375 384 400 407 440 444 480 484 500 512 528 550 555 592 600 605 640 660 704 726 740 750 768 800 814 825 880 888 925 960 968 1000 1056 1100 1110 1184 1200 1210 1221 1280 1320 1331 1369 1375 1408 1452 1480 1500 1536 1600 1628 1650 1760 1776 1815 1850 1920 1936 2000 2035 2112 2200 2220 2368 2400 2420 2442 2560 2640 2662 2738 2750 2775 2816 2904 2960 3000 3025 3200 3253 3256 3300 3520 3552 3630 3700 3840 3872 3993 4000 4070 4107 4125 4224 4400 4440 4477 4625 4736 4800 4840 4884 5280 5324 5476 5500 5550 5632 5808 5920 6000 6050 6105 6400 6506 6512 6600 6655 6845 7040 7104 7260 7400 7680 7744 7986 8000 8140 8214 8250 8448 8800 8880 8954 9075 9250 9472 9600 9680 9759 9768 10175 10560 10648 10952 11000 11100 11616 11840 12000 12100 12210 12800 13012 13024 13200 13310 13431 13690 13875 14080 14208 14520 14800 15059 15125 15488 15972 16000 16265 16280 16428 16500 16896 17600 17760 17908 18150 18500 18944 19200 19360 19518 19536 19965 20350 20535 21120 21296 21904 22000 22200 22385 23232 23680 24000 24200 24420 26024 26048 26400 26620 26862 27380 27750 28160 28416 29040 29600 30118 30250 30525 30976 31944 32000 32530 32560 32856 33000 33275 34225 35200 35520 35783 35816 36300 37000 38400 38720 39036 39072 39930 40700 41070 42240 42592 43808 44000 44400 44770 45177 45375 46464 47360 48000 48400 48795 48840 49247 50875 52048 52096 52800 53240 53724 54760 55500 56832 58080 59200 60236 60500 61050 61952 63888 64000 65060 65120 65712 66000 66550 67155 68450 70400 71040 71566 71632 72600 74000 75295 77440 78072 78144 79860 81325 81400 82140 84480 85184 87616 88000 88800 89540 90354 90750 92928 94720 96000 96800 97590 97680 98494 99825 101750 102675 104096 104192 105600 106480 107349 107448 109520 111000 111925 116160 118400 120361 120472 121000 122100 127776 130120 130240 131424 132000 133100 134310 136900 140800 142080 143132 143264 145200 147741 148000 150590 152625 154880 156144 156288 159720 162650 162800 164280 165649 166375 170368 171125 175232 176000 177600 178915 179080 180708 181500 185856 192000 193600 195180 195360 196988 199650 203500 205350 208192 208384 211200 212960 214698 214896 219040 222000 223850 225885 232320 236800 240722 240944 242000 243975 244200 246235 255552 260240 260480 262848 264000 266200 268620 273800 284160 286264 286528 290400 295482 296000 301180 305250 309760 312288 312576 319440 325300 325600 328560 331298 332750 335775 340736 342250 350464 352000 355200 357830 358160 361083 361416 363000 376475 387200 390360 390720 393613 393976 399300 406625 407000 410700 416384 422400 425920 429396 429792 438080 444000 447700 451770 464640 473600 481444 481888 484000 487950 488400 492470 496947 499125 511104 513375 520480 520960 525696 528000 532400 536745 537240 547600 559625 572528 573056 580800 590964 592000 601805 602360 610500 624576 625152 638880 650600 651200 657120 662596 665500 671550 681472 684500 700928 704000 710400 715660 716320 722166 722832 726000 738705 752950 774400 780720 781440 787226 787952 798600 813250 814000 821400 828245 832768 851840 858792 859584 876160 888000 894575 895400 903540 929280 962888 963776 968000 975900 976800 984940 993894 998250 1022208 1026750 1040960 1041920 1051392 1056000 1064800 1073490 1074480 1095200 1119250 1129425 1145056 1146112 1161600 1180839 1181928 1184000 1203610 1204720 1219875 1221000 1231175 1249152 1277760 1301200 1302400 1314240 1323971 1325192 1331000 1343100 1369000 1420800 1431320 1432640 1444332 1445664 1452000 1477410 1505900 1548800 1561440 1562880 1574452 1575904 1597200 1626500 1628000 1642800 1656490 1665536 1678875 1703680 1717584 1719168 1752320 1776000 1789150 1790800 1805415 1807080 1822139 1882375 1925776 1927552 1936000 1951800 1953600 1968065 1969880 1987788 1996500 2044416 2053500 2081920 2102784 2112000 2129600 2146980 2148960 2190400 2238500 2258850 2290112 2292224 2323200 2361678 2363856 2368000 2407220 2409440 2439750 2442000 2462350 2484735 2498304 2555520 2602400 2604800 2628480 2647942 2650384 2662000 2683725 2686200 2738000 2862640 2865280 2888664 2891328 2904000 2954820 3009025 3011800 3122880 3125760 3148904 3151808 3194400 3253000 3256000 3285600 3312980 3357750 3407360 3435168 3438336 3504640 3552000 3578300 3581600 3610830 3614160 3644278 3693525 3764750 3851552 3855104 3872000 3903600 3907200 3936130 3939760 3971913 3975576 3993000 4107000 4141225 4163840 4259200 4293960 4297920 4329743 4380800 4453357 4472875 4477000 4517700 4580224 4646400 4723356 4727712 4814440 4818880 4879500 4884000 4924700 4969470 4996608 5111040 5204800 5209600 5256960 5295884 5300768 5324000 5367450 5372400 5466417 5476000 5647125 5725280 5730560 5777328 5782656 5808000 5904195 5909640 6018050 6023600 6155875 6245760 6297808 6303616 6388800 6506000 6512000 6571200 6619855 6625960 6715500 6870336 6876672 7104000 7156600 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55924535040 57002969600 58254724000 58308448000 58784312400 59274181670 60075184125 61516988544 62703266560 63550608000 64080196400 64662743640 67357024625 68973593216 69275888000 69905668800 69970137600 71129018004 71253712000 73480390500 75243919872 75573696000 76896235680 78379083200 80100245500 80828429550 82022651392 83131065600 84734144000 85504454400 86216991520 87382086000 87462672000 88911272505 93207558400 94054899840 94838690672 96120294600 97973854000 102528314240 103460389824 103913832000 106880568000 107771239400 111849070080 116509448000 116616896000 117568624800 118548363340 120150368250 123033977088 125406533120 127101216000 128160392800 129325487280 134714049250 137947186432 138551776000 139811337600 142258036008 142507424000 146960781000 148185454175 153792471360 156758166400 160200491000 161656859100 166262131200 171008908800 172433983040 174764172000 174925344000 177822545010 186415116800 188109799680 189677381344 192240589200 195947708000 202071073875 205056628480 206920779648 207827664000 213761136000 215542478800 233018896000 235137249600 237096726680 240300736500 246067954176 254202432000 256320785600 258650974560 269428098500 275894372864 277103552000 279622675200 284516072016 285014848000 293921562000 296370908350 307584942720 313516332800 320400982000 323313718200 344867966080 349528344000 349850688000 355645090020 376219599360 379354762688 384481178400 391895416000 404142147750 410113256960 413841559296 415655328000 427522272000 431084957600 444556362525 466037792000 470274499200 474193453360 480601473000 512641571200 517301949120 538856197000 559245350400 569032144032 587843124000 592741816700 615169885440 627032665600 640801964000 646627436400 689735932160 699056688000 711290180040 740927270875 758709525376 768962356800 783790832000 808284295500 827683118592 831310656000 855044544000 862169915200 889112725050 932075584000 940548998400 948386906720 961202946000 1025283142400 1034603898240 1077712394000 1138064288064 1175686248000 1185483633400 1230339770880 1281603928000 1293254872800 1379471864320 1398113376000 1422580360080 1481854541750 1517419050752 1537924713600 1567581664000 1616568591000 1724339830400 1778225450100 1881097996800 1896773813440 1922405892000 2050566284800 2069207796480 2155424788000 2222781812625 2276128576128 2351372496000 2370967266800 2563207856000 2586509745600 2796226752000 2845160720160 2963709083500 3034838101504 3075849427200 3135163328000 3233137182000 3448679660800 3556450900200 3793547626880 3844811784000 4138415592960 4310849576000 4445563625250 4552257152256 4702744992000 4741934533600 5126415712000 5173019491200 5690321440320 5927418167000 6151698854400 6466274364000 6897359321600 7112901800400 7587095253760 7689623568000 8621699152000 8891127250500 9104514304512 9405489984000 9483869067200 10252831424000 10346038982400 11380642880640 11854836334000 12932548728000 14225803600800 15174190507520 15379247136000 17243398304000 17782254501000 18967738134400 20692077964800 22761285761280 23709672668000 25865097456000 28451607201600 30758494272000 34486796608000 35564509002000 37935476268800 45522571522560 47419345336000 51730194912000 56903214403200 71129018004000 75870952537600 94838690672000 103460389824000 113806428806400 142258036008000 189677381344000 227612857612800 284516072016000 379354762688000 569032144032000 1138064288064000
- Sum of all divisors σ(n): 4278710926473984
- Sum of proper divisors (its aliquot sum) s(n): 3140646638409984
- 1138064288064000 is an abundant number, because the sum of its proper divisors (3140646638409984) is greater than itself. Its abundance is 2002582350345984
Bases of 1138064288064000
- Binary: 1000000101100010000001111011001111100100010000000002
- Hexadecimal: 0x40B103D9F2200
- Base-36: B7ERIL5WQO
Squares and roots of 1138064288064000
- 1138064288064000 squared (11380642880640002) is 1295190323766619172868096000000
- 1138064288064000 cubed (11380642880640003) is 1474009853724839107858342219219206144000000000
-
The
square root of 1138064288064000 is 33735208.4336824573 -
The
cube root of 1138064288064000 is 104405.2325851689
Scales and comparisons
How big is 1138064288064000?- 1,138,064,288,064,000 seconds is equal to 36,186,924 years, 5 weeks, 2 hours, 40 minutes.
-
To count from 1 to 1,138,064,288,064,000 would take you about one hundred eight million, five hundred sixty thousand, seven hundred seventy-two 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 1138064288064000 cubic inches would be around 8700.4 feet tall.
Recreational maths with 1138064288064000
- 1138064288064000 backwards is 0004608824608311
- The number of decimal digits it has is: 16
- The sum of 1138064288064000's digits is 51
- More coming soon!
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"Number 1138064288064000 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
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Numbermatics. (2024). Number 1138064288064000 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/1138064288064000/
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The information we have on file for 1138064288064000 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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