138103017400320
138,103,017,400,320 is an even composite number composed of six prime numbers multiplied together.
What does the number 138103017400320 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 960 divisors.
138103017400320 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 138103017400320:
211 × 3 × 5 × 7 × 53 × 594
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 53 × 59 × 59 × 59 × 59)See below for interesting mathematical facts about the number 138103017400320 from the Numbermatics database.
Names of 138103017400320
- Cardinal: 138103017400320 can be written as One hundred thirty-eight trillion, one hundred three billion, seventeen million, four hundred thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3810301740032 × 1014
Factors of 138103017400320
Divisors of 138103017400320
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 53 56 59 60 64 70 80 84 96 105 106 112 118 120 128 140 159 160 168 177 192 210 212 224 236 240 256 265 280 295 318 320 336 354 371 384 413 420 424 448 472 480 512 530 560 590 636 640 672 708 742 768 795 826 840 848 885 896 944 960 1024 1060 1113 1120 1180 1239 1272 1280 1344 1416 1484 1536 1590 1652 1680 1696 1770 1792 1855 1888 1920 2048 2065 2120 2226 2240 2360 2478 2544 2560 2688 2832 2968 3072 3127 3180 3304 3360 3392 3481 3540 3584 3710 3776 3840 4130 4240 4452 4480 4720 4956 5088 5120 5376 5565 5664 5936 6144 6195 6254 6360 6608 6720 6784 6962 7080 7168 7420 7552 7680 8260 8480 8904 8960 9381 9440 9912 10176 10240 10443 10752 11130 11328 11872 12390 12508 12720 13216 13440 13568 13924 14160 14336 14840 15104 15360 15635 16520 16960 17405 17808 17920 18762 18880 19824 20352 20886 21504 21889 22260 22656 23744 24367 24780 25016 25440 26432 26880 27136 27848 28320 29680 30208 30720 31270 33040 33920 34810 35616 35840 37524 37760 39648 40704 41772 43008 43778 44520 45312 46905 47488 48734 49560 50032 50880 52215 52864 53760 54272 55696 56640 59360 60416 62540 65667 66080 67840 69620 71232 71680 73101 75048 75520 79296 81408 83544 87556 89040 90624 93810 94976 97468 99120 100064 101760 104430 105728 107520 108544 109445 111392 113280 118720 120832 121835 125080 131334 132160 135680 139240 142464 146202 150096 151040 158592 162816 167088 175112 178080 181248 184493 187620 189952 194936 198240 200128 203520 205379 208860 211456 215040 218890 222784 226560 237440 243670 250160 262668 264320 271360 278480 284928 292404 300192 302080 317184 325632 328335 334176 350224 356160 362496 365505 368986 375240 379904 389872 396480 400256 407040 410758 417720 422912 437780 445568 453120 474880 487340 500320 525336 528640 542720 553479 556960 569856 584808 600384 604160 616137 634368 656670 668352 700448 712320 731010 737972 750480 759808 779744 792960 800512 814080 821516 835440 845824 875560 891136 906240 922465 949760 974680 1000640 1026895 1050672 1057280 1106958 1113920 1139712 1169616 1200768 1232274 1268736 1291451 1313340 1336704 1400896 1424640 1437653 1462020 1475944 1500960 1559488 1585920 1601024 1628160 1643032 1670880 1751120 1782272 1812480 1844930 1899520 1949360 2001280 2053790 2101344 2114560 2213916 2227840 2279424 2339232 2401536 2464548 2537472 2582902 2626680 2673408 2767395 2801792 2849280 2875306 2924040 2951888 3001920 3080685 3118976 3171840 3202048 3286064 3341760 3502240 3564544 3689860 3799040 3874353 3898720 4002560 4107580 4202688 4229120 4312959 4427832 4455680 4678464 4803072 4929096 5165804 5253360 5346816 5534790 5603584 5698560 5750612 5848080 5903776 6003840 6161370 6237952 6343680 6404096 6457255 6572128 6683520 7004480 7129088 7188265 7379720 7748706 7797440 8005120 8215160 8405376 8625918 8855664 8911360 9356928 9606144 9858192 10331608 10506720 10693632 10885087 11069580 11207168 11397120 11501224 11696160 11807552 12007680 12117361 12322740 12475904 12687360 12914510 13144256 13367040 14008960 14376530 14759440 15497412 15594880 16010240 16430320 16810752 17251836 17711328 17822720 18713856 19212288 19371765 19716384 20663216 21013440 21387264 21564795 21770174 22139160 22414336 23002448 23392320 23615104 24015360 24234722 24645480 24951808 25829020 26288512 26734080 28017920 28753060 29518880 30994824 31189760 32020480 32655261 32860640 33621504 34503672 35422656 35645440 36352083 37427712 38743530 39432768 41326432 42026880 43129590 43540348 44278320 44828672 46004896 46784640 47230208 48030720 48469444 49290960 49903616 51658040 52577024 53468160 54425435 56035840 57506120 59037760 60586805 61989648 62379520 65310522 65721280 67243008 69007344 70845312 72704166 74855424 76195609 77487060 78865536 82652864 84053760 84821527 86259180 87080696 88556640 92009792 93569280 94460416 96061440 96938888 98581920 103316080 105154048 106936320 108850870 112071680 115012240 118075520 121173610 123979296 124759040 130621044 131442560 134486016 138014688 141690624 145408332 149710848 152391218 154974120 157731072 163276305 165305728 168107520 169643054 172518360 174161392 177113280 181760415 184019584 187138560 188920832 193877776 197163840 206632160 210308096 217701740 224143360 228586827 230024480 236151040 242347220 247958592 249518080 254464581 261242088 262885120 276029376 283381248 290816664 304782436 309948240 315462144 326552610 330611456 336215040 339286108 345036720 348322784 354226560 363520830 368039168 374277120 377841664 380978045 387755552 394327680 413264320 420616192 424107635 435403480 457173654 460048960 472302080 484694440 495917184 508929162 522484176 525770240 552058752 566762496 581633328 609564872 619896480 630924288 642220133 653105220 661222912 672430080 678572216 690073440 696645568 708453120 727041660 736078336 748554240 761956090 775511104 788655360 826528640 848215270 870806960 914347308 920097920 944604160 969388880 991834368 1017858324 1044968352 1051540480 1104117504 1133524992 1142934135 1163266656 1219129744 1239792960 1261848576 1272322905 1284440266 1306210440 1322445824 1357144432 1380146880 1393291136 1416906240 1454083320 1472156672 1523912180 1551022208 1577310720 1653057280 1696430540 1741613920 1828694616 1840195840 1889208320 1926660399 1938777760 1983668736 2035716648 2089936704 2103080960 2208235008 2285868270 2326533312 2438259488 2479585920 2544645810 2568880532 2612420880 2644891648 2714288864 2760293760 2786582272 2833812480 2908166640 2944313344 3047824360 3102044416 3154621440 3211100665 3306114560 3392861080 3483227840 3657389232 3680391680 3853320798 3877555520 3967337472 4071433296 4179873408 4416470016 4495540931 4571736540 4653066624 4876518976 4959171840 5089291620 5137761064 5224841760 5428577728 5520587520 5573164544 5667624960 5816333280 6095648720 6204088832 6309242880 6422201330 6612229120 6785722160 6966455680 7314778464 7360783360 7706641596 7755111040 7934674944 8142866592 8359746816 8832940032 8991081862 9143473080 9306133248 9633301995 9753037952 9918343680 10178583240 10275522128 10449683520 10857155456 11041175040 11146329088 11632666560 12191297440 12408177664 12844402660 13224458240 13486622793 13571444320 13932911360 14629556928 14721566720 15413283192 15510222080 16285733184 16719493632 17982163724 18286946160 18612266496 19266603990 19506075904 19836687360 20357166480 20551044256 20899367040 21714310912 22082350080 22292658176 22477704655 23265333120 24382594880 24816355328 25688805320 26973245586 27142888640 27865822720 29259113856 30826566384 31020444160 32571466368 33438987264 35964327448 36573892320 37224532992 38533207980 39012151808 39673374720 40714332960 41102088512 41798734080 43428621824 44164700160 44955409310 46530666240 48765189760 51377610640 53946491172 54285777280 55731645440 58518227712 61653132768 62040888320 65142932736 66877974528 67433113965 71928654896 73147784640 74449065984 77066415960 78024303616 81428665920 82204177024 83597468160 86857243648 89910818620 93061332480 97530379520 102755221280 107892982344 108571554560 111463290880 117036455424 123306265536 124081776640 130285865472 134866227930 143857309792 146295569280 154132831920 156048607232 162857331840 164408354048 167194936320 173714487296 179821637240 186122664960 195060759040 205510442560 215785964688 217143109120 234072910848 246612531072 260571730944 269732455860 287714619584 292591138560 308265663840 325714663680 328816708096 334389872640 359643274480 372245329920 390121518080 411020885120 431571929376 434286218240 468145821696 493225062144 521143461888 539464911720 575429239168 585182277120 616531327680 651429327360 657633416192 719286548960 780243036160 822041770240 863143858752 868572436480 986450124288 1078929823440 1150858478336 1170364554240 1233062655360 1302858654720 1315266832384 1438573097920 1644083540480 1726287717504 1972900248576 2157859646880 2301716956672 2340729108480 2466125310720 2605717309440 2877146195840 3288167080960 3452575435008 3945800497152 4315719293760 4603433913344 4932250621440 5754292391680 6576334161920 6905150870016 8631438587520 9206867826688 9864501242880 11508584783360 13810301740032 17262877175040 19729002485760 23017169566720 27620603480064 34525754350080 46034339133440 69051508700160 138103017400320
- Sum of all divisors σ(n): 523336419365760
- Sum of proper divisors (its aliquot sum) s(n): 385233401965440
- 138103017400320 is an abundant number, because the sum of its proper divisors (385233401965440) is greater than itself. Its abundance is 247130384565120
Bases of 138103017400320
- Binary: 111110110011010100111010100101101101000000000002
- Hexadecimal: 0x7D9A9D4B6800
- Base-36: 1CYBNEUGAO
Squares and roots of 138103017400320
- 138103017400320 squared (1381030174003202) is 19072443415073088691136102400
- 138103017400320 cubed (1381030174003203) is 2633961984818457371676535763896545312768000
-
The
square root of 138103017400320 is 11751724.0182162209 -
The
cube root of 138103017400320 is 51689.3482090897
Scales and comparisons
How big is 138103017400320?- 138,103,017,400,320 seconds is equal to 4,391,248 years, 40 weeks, 1 day, 5 hours, 52 minutes.
-
To count from 1 to 138,103,017,400,320 would take you about ten million, nine hundred seventy-eight thousand, one hundred twenty-one 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 138103017400320 cubic inches would be around 4307.4 feet tall.
Recreational maths with 138103017400320
- 138103017400320 backwards is 023004710301831
- The number of decimal digits it has is: 15
- The sum of 138103017400320's digits is 33
- More coming soon!
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The information we have on file for 138103017400320 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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