138368764076748800
138,368,764,076,748,800 is an even composite number composed of eight prime numbers multiplied together.
138368764076748800 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, four hundred ninety-six divisors.
Prime factorization of 138368764076748800:
212 × 52 × 7 × 19 × 31 × 61 × 137 × 39217
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 19 × 31 × 61 × 137 × 39217)See below for interesting mathematical facts about the number 138368764076748800 from the Numbermatics database.
Names of 138368764076748800
- Cardinal: 138368764076748800 can be written as One hundred thirty-eight quadrillion, three hundred sixty-eight trillion, seven hundred sixty-four billion, seventy-six million, seven hundred forty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.383687640767488 × 1017
Factors of 138368764076748800
Divisors of 138368764076748800
- Number of divisors d(n): 2496
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 19 20 25 28 31 32 35 38 40 50 56 61 62 64 70 76 80 95 100 112 122 124 128 133 137 140 152 155 160 175 190 200 217 224 244 248 256 266 274 280 304 305 310 320 350 380 400 427 434 448 475 488 496 512 532 548 560 589 608 610 620 640 665 685 700 760 775 800 854 868 896 950 959 976 992 1024 1064 1085 1096 1120 1159 1178 1216 1220 1240 1280 1330 1370 1400 1520 1525 1550 1600 1708 1736 1792 1891 1900 1918 1952 1984 2048 2128 2135 2170 2192 2240 2318 2356 2432 2440 2480 2560 2603 2660 2740 2800 2945 3040 3050 3100 3200 3325 3416 3425 3472 3584 3782 3800 3836 3904 3968 4096 4123 4247 4256 4270 4340 4384 4480 4636 4712 4795 4864 4880 4960 5120 5206 5320 5425 5480 5600 5795 5890 6080 6100 6200 6400 6650 6832 6850 6944 7168 7564 7600 7672 7808 7936 8113 8246 8357 8494 8512 8540 8680 8768 8960 9272 9424 9455 9590 9728 9760 9920 10240 10412 10640 10675 10850 10960 11200 11590 11780 12160 12200 12400 12800 13015 13237 13300 13664 13700 13888 14336 14725 15128 15200 15344 15616 15872 16226 16492 16714 16988 17024 17080 17360 17536 17920 18221 18544 18848 18910 19180 19456 19520 19840 20480 20615 20824 21235 21280 21350 21700 21920 22400 23180 23560 23975 24320 24400 24800 25600 26030 26474 26600 27328 27400 27776 28672 28975 29450 29729 30256 30400 30688 31232 31744 32452 32984 33428 33976 34048 34160 34720 35072 35840 35929 36442 37088 37696 37820 38360 38912 39040 39217 39680 40565 41230 41648 41785 42470 42560 42700 43400 43840 44800 46360 47120 47275 47950 48640 48800 49600 51200 52060 52948 53200 54656 54800 55552 57950 58499 58900 59458 60512 60800 61376 62464 63488 64904 65075 65968 66185 66856 67952 68096 68320 69440 70144 71680 71858 72884 74176 75392 75640 76720 77824 78080 78434 79360 80693 81130 82460 83296 83570 84940 85120 85400 86800 87680 89600 91105 92720 94240 94550 95900 97280 97600 99200 102400 103075 104120 105896 106175 106400 109312 109600 111104 115900 116998 117800 118916 121024 121600 122752 124928 126976 129808 130150 131936 132370 133712 135904 136192 136640 138880 140288 143360 143716 145768 148352 148645 150784 151280 153440 156160 156868 158720 158783 161386 162260 164920 166592 167140 169880 170240 170800 173600 175360 179200 179645 182210 185440 188480 189100 191800 194560 195200 196085 198400 202825 206150 208240 208925 211792 212350 212800 218624 219200 222208 231800 233996 235600 237832 242048 243200 245504 249856 251503 259067 259616 260300 263872 264740 267424 271808 272384 273280 274519 277760 280576 287432 291536 292495 296704 297290 301568 302560 306880 312320 313736 317440 317566 322772 324520 329840 330925 333184 334280 339760 340480 341600 347200 350720 358400 359290 364420 370880 376960 378200 383600 389120 390400 392170 396800 403465 405650 412300 416480 417850 423584 424700 425600 437248 438400 444416 455525 463600 467992 471200 475664 484096 486400 491008 503006 518134 519232 520600 527744 529480 534848 543616 544768 546560 549038 555520 561152 564851 574864 583072 584990 593408 594580 603136 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1655722915840 1661169372800 1678010721280 1705519093760 1714755481600 1743558015080 1764142643200 1772140933360 1777970344325 1803555319040 1829306769920 1835324226400 1865411508800 1898479283200 1925586073600 1930367802410 1972638630200 1992637731520 2025303923840 2031966107800 2036272134400 2069653644800 2090636308480 2097513401600 2126296797184 2131898867200 2179447518850 2215176166700 2254444148800 2275802040736 2286633462400 2327168153600 2349215009792 2365318451200 2387726731264 2490797164400 2524977446656 2531629904800 2600916617984 2613295385600 2657870996480 2702514923374 2789692824128 2835425493376 2844752550920 2885688510464 2926890831872 2936518762240 2984658414080 3088588483856 3156221808320 3188220370432 3240486278144 3251145772480 3258035415040 3311445831680 3322338745600 3356021442560 3411038187520 3487116030160 3528285286400 3544281866720 3555940688650 3607110638080 3658613539840 3670648452800 3730823017600 3796958566400 3851172147200 3860735604820 3945277260400 3985275463040 4050607847680 4063932215600 4072544268800 4139307289600 4195026803200 4263797734400 4358895037700 4430352333400 4508888297600 4551604081472 4573266924800 4654336307200 4698430019584 4775453462528 4825919506025 4981594328800 5049954893312 5063259809600 5201833235968 5226590771200 5315741992960 5405029846748 5579385648256 5670850986752 5689505101840 5771377020928 5873037524480 5969316828160 6177176967712 6312443616640 6376440740864 6480972556288 6502291544960 6516070830080 6644677491200 6712042885120 6756287308435 6974232060320 7088563733440 7111881377300 7214221276160 7317227079680 7341296905600 7461646035200 7593917132800 7721471209640 7890554520800 7970550926080 8101215695360 8127864431200 8145088537600 8278614579200 8390053606400 8527595468800 8717790075400 8860704666800 9017776595200 9103208162944 9146533849600 9396860039168 9651839012050 9963188657600 10099909786624 10126519619200 10403666471936 10453181542400 10631483985920 10810059693496 11158771296512 11341701973504 11379010203680 11746075048960 11938633656320 12354353935424 12624887233280 12752881481728 12961945112576 13004583089920 13289354982400 13512574616870 13948464120640 14177127466880 14223762754600 14428442552320 14634454159360 14682593811200 14923292070400 15442942419280 15781109041600 15941101852160 16202431390720 16255728862400 16290177075200 16557229158400 16780107212800 17055190937600 17435580150800 17721409333600 18035553190400 18206416325888 18293067699200 19303678024100 19926377315200 20199819573248 20253039238400 20807332943872 21620119386992 22317542593024 22683403947008 22758020407360 23492150097920 23877267312640 24708707870848 25249774466560 25505762963456 26009166179840 26578709964800 27025149233740 27896928241280 28354254933760 28447525509200 28856885104640 29365187622400 29846584140800 30885884838560 31562218083200 31882203704320 32404862781440 32511457724800 32580354150400 33560214425600 33781436542175 34871160301600 35442818667200 36071106380800 36412832651776 36586135398400 38607356048200 39852754630400 40399639146496 40506078476800 41614665887744 43240238773984 44635085186048 45366807894016 45516040814720 46984300195840 49417415741696 50499548933120 52018332359680 53157419929600 54050298467480 55793856482560 56708509867520 56895051018400 58730375244800 59693168281600 61771769677120 63124436166400 63764407408640 64809725562880 65022915449600 67562873084350 69742320603200 70885637334400 72142212761600 72825665303552 73172270796800 77214712096400 79705509260800 81012156953600 86480477547968 89270170372096 90733615788032 91032081629440 98834831483392 100999097866240 104036664719360 108100596934960 111587712965120 113417019735040 113790102036800 117460750489600 119386336563200 123543539354240 126248872332800 127528814817280 130045830899200 135125746168700 139484641206400 141771274668800 144284425523200 145651330607104 154429424192800 159411018521600 162024313907200 172960955095936 178540340744192 182064163258880 197669662966784 201998195732480 208073329438720 216201193869920 223175425930240 226834039470080 227580204073600 234921500979200 247087078708480 252497744665600 260091661798400 270251492337400 278969282412800 283542549337600 291302661214208 308858848385600 318822037043200 324048627814400 345921910191872 364128326517760 395339325933568 432402387739840 446350851860480 453668078940160 455160408147200 494174157416960 504995489331200 520183323596800 540502984674800 557938564825600 567085098675200 617717696771200 637644074086400 691843820383744 728256653035520 790678651867136 864804775479680 892701703720960 910320816294400 988348314833920 1009990978662400 1040366647193600 1081005969349600 1115877129651200 1134170197350400 1235435393542400 1383687640767488 1456513306071040 1729609550959360 1820641632588800 1976696629667840 2162011938699200 2231754259302400 2268340394700800 2470870787084800 2767375281534976 3459219101918720 3641283265177600 3953393259335680 4324023877398400 4463508518604800 4941741574169600 5534750563069952 6918438203837440 7282566530355200 8648047754796800 9883483148339200 13836876407674880 17296095509593600 19766966296678400 27673752815349760 34592191019187200 69184382038374400 138368764076748800
- Sum of all divisors σ(n): 436239311076188160
- Sum of proper divisors (its aliquot sum) s(n): 297870546999439360
- 138368764076748800 is an abundant number, because the sum of its proper divisors (297870546999439360) is greater than itself. Its abundance is 159501782922690560
Bases of 138368764076748800
- Binary: 1111010111001010110101000011001101100110111110000000000002
- Hexadecimal: 0x1EB95A866CDF000
- Base-36: 11UFMSOJOE0W
Squares and roots of 138368764076748800
- 138368764076748800 squared (1383687640767488002) is 19145914872126969194856778301440000
- 138368764076748800 cubed (1383687640767488003) is 2649196577974852769896305903934496126661558272000000
-
The
square root of 138368764076748800 is 371979521.0448403167 -
The
cube root of 138368764076748800 is 517224.8161780659
Scales and comparisons
How big is 138368764076748800?- 138,368,764,076,748,800 seconds is equal to 4,399,698,694 years, 49 weeks, 3 days, 8 hours, 53 minutes, 20 seconds.
-
To count from 1 to 138,368,764,076,748,800 would take you about thirteen billion, one hundred ninety-nine million, ninety-six thousand and eighty-four 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 138368764076748800 cubic inches would be around 43102.1 feet tall.
Recreational maths with 138368764076748800
- 138368764076748800 backwards is 008847670467863831
- The number of decimal digits it has is: 18
- The sum of 138368764076748800's digits is 86
- More coming soon!
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"Number 138368764076748800 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
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Numbermatics. (2024). Number 138368764076748800 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/138368764076748800/
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Numbermatics. 2024. "Number 138368764076748800 - Facts about the integer". https://numbermatics.com/n/138368764076748800/
The information we have on file for 138368764076748800 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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