138320316468000
138,320,316,468,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138320316468000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2160 divisors.
138320316468000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 138320316468000:
25 × 34 × 53 × 172 × 972 × 157
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 17 × 17 × 97 × 97 × 157)See below for interesting mathematical facts about the number 138320316468000 from the Numbermatics database.
Names of 138320316468000
- Cardinal: 138320316468000 can be written as One hundred thirty-eight trillion, three hundred twenty billion, three hundred sixteen million, four hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.38320316468 × 1014
Factors of 138320316468000
Divisors of 138320316468000
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 27 30 32 34 36 40 45 48 50 51 54 60 68 72 75 80 81 85 90 96 97 100 102 108 120 125 135 136 144 150 153 157 160 162 170 180 194 200 204 216 225 240 250 255 270 272 288 289 291 300 306 314 324 340 360 375 388 400 405 408 425 432 450 459 471 480 485 500 510 540 544 578 582 600 612 628 648 675 680 720 750 765 776 785 800 810 816 850 864 867 873 900 918 942 970 1000 1020 1080 1125 1156 1164 1200 1224 1256 1275 1296 1350 1360 1377 1413 1440 1445 1455 1500 1530 1552 1570 1620 1632 1649 1700 1734 1746 1800 1836 1884 1940 2000 2025 2040 2125 2160 2250 2295 2312 2328 2355 2400 2425 2448 2512 2550 2592 2601 2619 2669 2700 2720 2754 2826 2890 2910 3000 3060 3104 3140 3240 3298 3375 3400 3468 3492 3600 3672 3768 3825 3880 3925 4000 4050 4080 4239 4250 4320 4335 4365 4500 4590 4624 4656 4710 4850 4896 4947 5024 5100 5202 5238 5338 5400 5508 5652 5780 5820 6000 6120 6280 6375 6480 6596 6750 6800 6885 6936 6984 7065 7200 7225 7275 7344 7536 7650 7760 7803 7850 7857 8007 8100 8160 8245 8478 8500 8670 8730 9000 9180 9248 9312 9409 9420 9700 9894 10125 10200 10404 10476 10676 10800 11016 11304 11475 11560 11640 11775 12000 12125 12240 12560 12717 12750 12960 13005 13095 13192 13345 13500 13600 13770 13872 13968 14130 14450 14550 14688 14841 15072 15229 15300 15520 15606 15700 15714 16014 16200 16490 16956 17000 17340 17460 18000 18360 18818 18840 19125 19400 19625 19788 20250 20400 20808 20952 21195 21352 21600 21675 21825 22032 22608 22950 23120 23280 23409 23550 24021 24250 24480 24735 25120 25434 25500 26010 26190 26384 26690 27000 27540 27744 27936 28033 28227 28260 28900 29100 29682 30458 30600 31212 31400 31428 32028 32400 32980 33912 34000 34425 34680 34920 35325 36000 36125 36375 36720 37636 37680 38250 38800 39015 39250 39285 39576 40035 40500 40800 41225 41616 41904 42390 42704 43350 43650 44064 44523 45216 45373 45687 45900 46240 46560 46818 47045 47100 48042 48500 49470 50868 51000 52020 52380 52768 53380 54000 55080 56066 56454 56520 57375 57800 58200 58875 59364 60916 61200 62424 62800 62856 63585 64056 64800 65025 65475 65960 66725 67824 68000 68850 69360 69840 70650 72063 72250 72750 73440 74205 75272 75360 76145 76500 77600 78030 78500 78570 79152 80070 81000 82450 83232 83808 84099 84681 84780 85408 86700 87300 89046 90746 91374 91800 93636 94090 94200 96084 97000 98940 101736 102000 104040 104760 105975 106760 108000 108375 109125 110160 112132 112908 113040 114750 115600 116400 117045 117750 118728 120105 121832 122400 123675 124848 125600 125712 127170 128112 130050 130950 131920 133450 133569 135648 136119 137061 137700 138720 139680 140165 141135 141300 144126 144500 145500 148410 150544 152290 153000 156060 157000 157140 158304 159953 160140 162000 164900 168198 169362 169560 172125 173400 174600 176625 178092 181492 182748 183600 187272 188180 188400 192168 194000 195075 196425 197880 200175 203472 204000 206125 208080 209520 211950 213520 216189 216750 218250 220320 222615 224264 225816 226080 226865 228435 229500 231200 232800 234090 235225 235500 237456 240210 243664 247350 249696 251424 252297 254043 254340 256224 258893 260100 261900 263840 266900 267138 272238 274122 275400 280330 282270 282600 288252 289000 291000 296820 301088 304580 306000 312120 314000 314280 317925 319906 320280 324000 325125 327375 329800 333625 336396 338724 339120 344250 346800 349200 353250 356184 360315 362984 365496 367200 371025 374544 376360 376800 380725 384336 388000 390150 392850 395760 400350 406944 408357 411183 412250 416160 419040 420495 423405 423900 427040 432378 433500 436500 445230 448528 451632 453730 456870 459000 468180 470450 471000 474912 479859 480420 487328 494700 504594 508086 508680 517786 520200 523800 529875 533800 534276 544476 548244 550800 560660 564540 565200 576504 578000 582000 585225 593640 600525 609160 612000 618375 624240 628000 628560 635850 639812 640560 650250 654750 659600 667250 667845 672792 677448 678240 680595 685305 688500 693600 698400 700825 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54047250 54384020 54447600 54824400 55920888 56066000 56454000 56766825 57583080 57650400 58250925 58803408 59088520 59364000 59982375 60551280 60916000 60970320 61253550 61677450 62134320 63074250 63510750 63981200 64723250 64780965 65260824 65337120 65789280 66017715 66474585 66784500 67279200 67744800 67980025 68059500 68530500 69099696 69901110 70418896 70906224 71978850 72063000 72661536 73418427 73504260 73860650 74561184 75337863 75689100 76212900 76777440 77667900 79221258 79769502 79976500 81576030 81671400 82236600 83881332 84099000 84681000 86374620 86475600 87014432 88023620 88632780 89046000 90746000 90826920 91374000 91880325 93201480 93636000 94611375 95266125 95971800 96084000 97084875 97891236 98005680 98683920 100450484 100918800 101617200 102089250 102795750 103557200 103649544 104851665 105628344 106359336 106855200 107968275 108094500 108768040 108895200 109648800 110029525 110790975 111841776 112132000 112908000 113533650 115166160 116501850 117606816 118177040 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1329491700 1356081534 1359600500 1398022200 1425982644 1439577000 1468368540 1470085200 1477213000 1506757260 1513782000 1524258000 1553358000 1584425160 1595390040 1619524125 1631520600 1633428000 1644732000 1650442875 1661864625 1677626640 1707658228 1727492400 1747527750 1760472400 1762042248 1772655600 1782478305 1808108712 1816538400 1835460675 1837606500 1864029600 1883446575 1901310192 1914468048 1919436000 1957824720 1980531450 1994237550 2009009680 2034122301 2039400750 2072990880 2097033300 2112566880 2127186720 2134572785 2159365500 2175360800 2200590500 2202552810 2215819500 2260135890 2270673000 2330037000 2349389664 2376637740 2393085060 2410811616 2447280900 2450142000 2467098000 2511262100 2561487342 2591238600 2621291625 2640708600 2658983400 2712163068 2719201000 2796044400 2851965288 2879154000 2936737080 2940170400 2954426000 2970797175 2991356325 3013514520 3027564000 3048516000 3059101125 3106716000 3139077625 3168850320 3190780080 3239048250 3263041200 3300885750 3323729250 3355253280 3390203835 3415316456 3454984800 3495055500 3520944800 3524084496 3545311200 3564956610 3616217424 3670921350 3675213000 3766893150 3802620384 3828936096 3842231013 3915649440 3961062900 3988475100 4018019360 4068244602 4078801500 4194066600 4269145570 4318731000 4401181000 4405105620 4431639000 4520271780 4541346000 4660074000 4753275480 4786170120 4894561800 4900284000 4934196000 4951328625 4985593875 5022524200 5122974684 5182477200 5242583250 5281417200 5317966800 5424326136 5438402000 5506382025 5592088800 5650339725 5703930576 5758308000 5873474160 5908852000 5941594350 5982712650 6027029040 6118202250 6278155250 6337700640 6381560160 6403718355 6478096500 6526082400 6601771500 6647458500 6780407670 6830632912 6990111000 7048168992 7129913220 7232434848 7341842700 7350426000 7533786300 7684462026 7922125800 7976950200 8136489204 8157603000 8388133200 8538291140 8637462000 8802362000 8810211240 8863278000 8912391525 9040543560 9082692000 9177303375 9320148000 9417232875 9506550960 9572340240 9789123600 9902657250 9971187750 10045048400 10170611505 10245949368 10364954400 10485166500 10562834400 10635933600 10672863925 10848652272 10876804000 11012764050 11300679450 11407861152 11526693039 11746948320 11883188700 11965425300 12054058080 12236404500 12556310500 12807436710 12956193000 13203543000 13294917000 13560815340 13661265824 13980222000 14259826440 14683685400 14700852000 14853985875 14956781625 15067572600 15368924052 15844251600 15953900400 16272978408 16315206000 16776266400 16951019175 17076582280 17274924000 17604724000 17620422480 17726556000 17824783050 18081087120 18354606750 18834465750 19013101920 19144680480 19211155065 19578247200 19805314500 19942375500 20090096800 20341223010 20491898736 20970333000 21345727850 21697304544 22025528100 22601358900 23053386078 23766377400 23930850600 24472809000 25112621000 25614873420 25912386000 26407086000 26589834000 27121630680 27531910125 27960444000 28251698625 28519652880 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122951392416 128074367100 135608153400 138320316468 142598264400 146836854000 150675726000 153689240520 158442516000 159539004000 160092958875 162729784080 169510191750 170765822800 172900395585 176204224800 178247830500 180810871200 184427088624 192111550650 203412230100 204918987360 213457278500 220255281000 226013589000 230533860780 237663774000 239308506000 254265287625 256148734200 271216306800 276640632936 285196528800 288167325975 293673708000 301351452000 307378481040 320185917750 325459568160 339020383500 341531645600 345800791170 356495661000 368854177248 384223101300 406824460200 426914557000 440510562000 452027178000 461067721560 475327548000 478617012000 480278876625 508530575250 512297468400 542432613600 553281265872 576334651950 614756962080 640371835500 678040767000 691601582340 712991322000 768446202600 813648920400 853829114000 864501977925 881021124000 904054356000 922135443120 960557753250 1017061150500 1024594936800 1106562531744 1152669303900 1280743671000 1356081534000 1383203164680 1425982644000 1440836629875 1536892405200 1627297840800 1707658228000 1729003955850 1844270886240 1921115506500 2034122301000 2305338607800 2561487342000 2712163068000 2766406329360 2881673259750 3073784810400 3458007911700 3842231013000 4068244602000 4322509889625 4610677215600 5122974684000 5532812658720 5763346519500 6916015823400 7684462026000 8136489204000 8645019779250 9221354431200 11526693039000 13832031646800 15368924052000 17290039558500 23053386078000 27664063293600 34580079117000 46106772156000 69160158234000 138320316468000
- Sum of all divisors σ(n): 548389933987896
- Sum of proper divisors (its aliquot sum) s(n): 410069617519896
- 138320316468000 is an abundant number, because the sum of its proper divisors (410069617519896) is greater than itself. Its abundance is 271749301051896
Bases of 138320316468000
- Binary: 111110111001101001101010101010000001011001000002
- Hexadecimal: 0x7DCD35540B20
- Base-36: 1D13H53M00
Squares and roots of 138320316468000
- 138320316468000 squared (1383203164680002) is 19132509947807671995024000000
- 138320316468000 cubed (1383203164680003) is 2646414830807915353150060601255232000000000
-
The
square root of 138320316468000 is 11760965.7965661987 -
The
cube root of 138320316468000 is 51716.4443133485
Scales and comparisons
How big is 138320316468000?- 138,320,316,468,000 seconds is equal to 4,398,158 years, 10 weeks, 6 days, 18 hours.
-
To count from 1 to 138,320,316,468,000 would take you about ten million, nine hundred ninety-five thousand, three hundred ninety-five 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 138320316468000 cubic inches would be around 4309.7 feet tall.
Recreational maths with 138320316468000
- 138320316468000 backwards is 000864613023831
- 138320316468000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138320316468000's digits is 45
- More coming soon!
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MLA style:
"Number 138320316468000 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
APA style:
Numbermatics. (2024). Number 138320316468000 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/138320316468000/
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Numbermatics. 2024. "Number 138320316468000 - Facts about the integer". https://numbermatics.com/n/138320316468000/
The information we have on file for 138320316468000 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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