138729372111901800
138,729,372,111,901,800 is an even composite number composed of five prime numbers multiplied together.
What does the number 138729372111901800 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1680 divisors.
138729372111901800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, six hundred eighty divisors.
Prime factorization of 138729372111901800:
23 × 36 × 52 × 314 × 1013
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 31 × 31 × 31 × 31 × 101 × 101 × 101)See below for interesting mathematical facts about the number 138729372111901800 from the Numbermatics database.
Names of 138729372111901800
- Cardinal: 138729372111901800 can be written as One hundred thirty-eight quadrillion, seven hundred twenty-nine trillion, three hundred seventy-two billion, one hundred eleven million, nine hundred one thousand, eight hundred.
Scientific notation
- Scientific notation: 1.387293721119018 × 1017
Factors of 138729372111901800
Divisors of 138729372111901800
- Number of divisors d(n): 1680
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 31 36 40 45 50 54 60 62 72 75 81 90 93 100 101 108 120 124 135 150 155 162 180 186 200 202 216 225 243 248 270 279 300 303 310 324 360 372 404 405 450 465 486 505 540 558 600 606 620 648 675 729 744 775 808 810 837 900 909 930 961 972 1010 1080 1116 1212 1215 1240 1350 1395 1458 1515 1550 1620 1674 1800 1818 1860 1922 1944 2020 2025 2232 2325 2424 2430 2511 2525 2700 2727 2790 2883 2916 3030 3100 3131 3240 3348 3636 3645 3720 3844 4040 4050 4185 4545 4650 4805 4860 5022 5050 5400 5454 5580 5766 5832 6060 6075 6200 6262 6696 6975 7272 7290 7533 7575 7688 8100 8181 8370 8649 9090 9300 9393 9610 9720 10044 10100 10201 10908 11160 11532 12120 12150 12524 12555 13635 13950 14415 14580 15066 15150 15655 16200 16362 16740 17298 18180 18225 18600 18786 19220 20088 20200 20402 20925 21816 22599 22725 23064 24025 24300 24543 25048 25110 25947 27270 27900 28179 28830 29160 29791 30132 30300 30603 31310 32724 33480 34596 36360 36450 37572 37665 38440 40804 40905 41850 43245 45198 45450 46965 48050 48600 49086 50220 51005 51894 54540 55800 56358 57660 59582 60264 60600 61206 62620 62775 65448 68175 69192 72075 72900 73629 75144 75330 77841 78275 81608 81810 83700 84537 86490 89373 90396 90900 91809 93930 96100 97061 98172 100440 102010 103788 109080 112716 112995 115320 119164 122412 122715 125240 125550 129735 136350 140895 144150 145800 147258 148955 150660 153015 155682 156550 163620 167400 169074 172980 178746 180792 181800 183618 187860 188325 192200 194122 196344 204020 204525 207576 216225 225432 225990 233523 234825 238328 244824 245430 251100 253611 255025 259470 268119 272700 275427 281790 288300 291183 294516 297910 301320 306030 311364 313100 316231 327240 338148 345960 357492 367236 368145 375720 376650 388244 389205 408040 409050 422685 432450 446865 451980 459045 467046 469650 485305 490860 502200 507222 510050 518940 536238 545400 550854 563580 564975 576600 582366 589032 595820 612060 613575 622728 626200 632462 648675 676296 700569 704475 714984 734472 736290 744775 753300 760833 765075 776488 778410 804357 818100 826281 845370 864900 873549 893730 903960 918090 923521 934092 939300 948693 970610 981720 1014444 1020100 1030301 1037880 1072476 1101708 1127160 1129950 1164732 1167615 1191640 1224120 1227150 1264924 1268055 1297350 1340595 1377135 1401138 1408950 1455915 1472580 1489550 1506600 1521666 1530150 1556820 1581155 1608714 1636200 1652562 1690740 1729800 1747098 1787460 1836180 1840725 1847042 1868184 1878600 1897386 1941220 1946025 2028888 2040200 2060602 2113425 2144952 2203416 2234325 2259900 2282499 2295225 2329464 2335230 2413071 2426525 2454300 2478843 2529848 2536110 2594700 2620647 2681190 2754270 2770563 2802276 2817900 2846079 2911830 2945160 2979100 3008891 3043332 3060300 3090903 3113640 3162310 3217428 3305124 3381480 3494196 3502845 3574920 3672360 3681450 3694084 3794772 3804165 3882440 3892050 4021785 4121204 4131405 4226850 4367745 4468650 4519800 4564998 4590450 4617605 4670460 4743465 4826142 4853050 4908600 4957686 5072220 5151505 5189400 5241294 5362380 5508540 5541126 5604552 5635800 5692158 5823660 5838075 5958200 6017782 6086664 6120600 6181806 6324620 6340275 6434856 6610248 6702975 6885675 6988392 7005690 7239213 7279575 7362900 7388168 7436529 7589544 7608330 7784100 7861941 7905775 8043570 8242408 8262810 8311689 8453700 8538237 8735490 8937300 9026673 9129996 9180900 9235210 9272709 9340920 9486930 9652284 9706100 9803161 9915372 10144440 10303010 10482588 10724760 11017080 11082252 11384316 11412495 11647320 11676150 12035564 12065355 12363612 12394215 12649240 12680550 13103235 13405950 13771350 13852815 14011380 14230395 14478426 14559150 14725800 14873058 15044455 15216660 15454515 15568200 15723882 15811550 16087140 16525620 16623378 16907400 17076474 17470980 17514225 17874600 18053346 18259992 18361800 18470420 18545418 18973860 19020825 19304568 19412200 19606322 19830744 20108925 20606020 20657025 20965176 21717639 21838725 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310450297320 320798640564 328209830280 339150157956 339989638545 356442933960 357325218450 368324365092 369236059065 376833508840 377766265050 388062871650 400998300705 410262287850 423937697445 438696307800 443083270878 445553667450 453319518060 460405456365 465675445980 471041886050 476433624600 481197960846 492314745420 503688353400 508725236934 517417162200 534664400940 543983421672 547016383800 552486547638 565250263260 566649397575 582094307475 590777694504 594071556600 613873941820 615393431775 641597281128 668330501175 678300315912 679979277090 706562829075 714650436900 721796941269 736648730184 738472118130 755532530100 763087855401 767342427275 776125743300 801996601410 820524575700 828729821457 847875394890 886166541756 891107334900 906639036120 920810912730 931350891960 942083772100 951504609821 962395921692 984629490840 1017450473868 1069328801880 1104973095276 1107708177195 1130500526520 1133298795150 1164188614950 1202994902115 1227747883640 1230786863550 1271813092335 1336661002350 1359958554180 1381216369095 1413125658150 1429300873800 1443593882538 1476944236260 1511065060200 1526175710802 1534684854550 1552251486600 1603993202820 1641049151400 1657459642914 1695750789780 1699948192725 1772333083512 1782214669800 1841621825460 1846180295325 1884167544200 1903009219642 1924791843384 2004991503525 2034900947736 2119688487225 2209946190552 2215416354390 2266597590300 2289263566203 2302027281825 2328377229900 2405989804230 2461573727100 2486189464371 2543626184670 2673322004700 2719917108360 2762432738190 2826251316300 2854513829463 2887187765076 2953888472520 3052351421604 3069369709100 3207986405640 3314919285828 3391501579560 3399896385450 3608984706345 3683243650920 3692360590650 3806018439284 3815439277005 4009983007050 4143649107285 4239376974450 4430832708780 4533195180600 4578527132406 4604054563650 4656754459800 4757523049105 4811979608460 4923147454200 4972378928742 5087252369340 5346644009400 5524865476380 5538540885975 5652502632600 5709027658926 5774375530152 6014974510575 6104702843208 6138739418200 6359065461675 6629838571656 6799792770900 6867790698609 6906081845475 7217969412690 7384721181300 7458568393113 7612036878568 7630878554010 8019966014100 8287298214570 8478753948900 8563541488389 8861665417560 9157054264812 9208109127300 9515046098210 9623959216920 9944757857484 10174504738680 11049730952760 11077081771950 11418055317852 11446317831015 12029949021150 12430947321855 12718130923350 13599585541800 13735581397218 13812163690950 14272569147315 14435938825380 14769442362600 14917136786226 15261757108020 16039932028200 16574596429140 16957507897800 17127082976778 18044923531725 18314108529624 18416218254600 19030092196420 19077196385025 19889515714968 20718245536425 22154163543900 22375705179339 22836110635704 22892635662030 23787615245525 24059898042300 24861894643710 25436261846700 25690624465167 27471162794436 27624327381900 28545138294630 28871877650760 29834273572452 30523514216040 33149192858280 34254165953556 34338953493045 36089847063450 37292841965565 38060184392840 38154392770050 41436491072850 42817707441945 44308327087800 44751410358678 45785271324060 47575230491050 48119796084600 49723789287420 50872523693400 51381248930334 54942325588872 55248654763800 57090276589260 57231589155075 59668547144904 62154736609275 68508331907112 68677906986090 71362845736575 72179694126900 74585683931130 76308785540100 77071873395501 82872982145700 85635414883890 89502820717356 91570542648120 95150460982100 99447578574840 102762497860668 111878525896695 114180553178520 114463178310150 124309473218550 128453122325835 137355813972180 142725691473150 144359388253800 149171367862260 152617571080200 154143746791002 165745964291400 171270829767780 171694767465225 179005641434712 186464209827825 190300921964200 205524995721336 214088537209725 223757051793390 228926356620300 231215620186503 248618946437100 256906244651670 274711627944360 285451382946300 298342735724520 308287493582004 342541659535560 343389534930450 372928419655650 385359366977505 428177074419450 447514103586780 457852713240600 462431240373006 497237892874200 513812489303340 559392629483475 570902765892600 616574987164008 642265611629175 686779069860900 693646860559509 745856839311300 770718733955010 856354148838900 895028207173560 924862480746012 1027624978606680 1118785258966950 1156078100932515 1284531223258350 1373558139721800 1387293721119018 1491713678622600 1541437467910020 1712708297677800 1849724961492024 1926796834887525 2237570517933900 2312156201865030 2569062446516700 2774587442238036 3082874935820040 3468234302797545 3853593669775050 4475141035867800 4624312403730060 5138124893033400 5549174884476072 5780390504662575 6936468605595090 7707187339550100 9248624807460120 11560781009325150 13872937211190180 15414374679100200 17341171513987725 23121562018650300 27745874422380360 34682343027975450 46243124037300600 69364686055950900 138729372111901800
- Sum of all divisors σ(n): 504714527043813900
- Sum of proper divisors (its aliquot sum) s(n): 365985154931912100
- 138729372111901800 is an abundant number, because the sum of its proper divisors (365985154931912100) is greater than itself. Its abundance is 227255782820010300
Bases of 138729372111901800
- Binary: 1111011001101110110100001000000001010010010010100011010002
- Hexadecimal: 0x1ECDDA100A49468
- Base-36: 11XZGHQ56MI0
Squares and roots of 138729372111901800
- 138729372111901800 squared (1387293721119018002) is 19245838686562516891861212843240000
- 138729372111901800 cubed (1387293721119018003) is 2669963116753766798683279421630694712621673832000000
-
The
square root of 138729372111901800 is 372463920.5505706429 -
The
cube root of 138729372111901800 is 517673.7460885093
Scales and comparisons
How big is 138729372111901800?- 138,729,372,111,901,800 seconds is equal to 4,411,164,915 years, 1 week, 5 days, 22 hours, 30 minutes.
-
To count from 1 to 138,729,372,111,901,800 would take you about thirteen billion, two hundred thirty-three million, four hundred ninety-four thousand, seven hundred forty-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 138729372111901800 cubic inches would be around 43139.5 feet tall.
Recreational maths with 138729372111901800
- 138729372111901800 backwards is 008109111273927831
- The number of decimal digits it has is: 18
- The sum of 138729372111901800's digits is 63
- More coming soon!
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"Number 138729372111901800 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
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Numbermatics. (2024). Number 138729372111901800 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/138729372111901800/
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Numbermatics. 2024. "Number 138729372111901800 - Facts about the integer". https://numbermatics.com/n/138729372111901800/
The information we have on file for 138729372111901800 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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