138019938026880
138,019,938,026,880 is an even composite number composed of eight prime numbers multiplied together.
138019938026880 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 138019938026880:
27 × 3 × 5 × 72 × 13 × 73 × 97 × 15937
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 13 × 73 × 97 × 15937)See below for interesting mathematical facts about the number 138019938026880 from the Numbermatics database.
Names of 138019938026880
- Cardinal: 138019938026880 can be written as One hundred thirty-eight trillion, nineteen billion, nine hundred thirty-eight million, twenty-six thousand, eight hundred eighty.
Scientific notation
- Scientific notation: 1.3801993802688 × 1014
Factors of 138019938026880
Divisors of 138019938026880
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 32 35 39 40 42 48 49 52 56 60 64 65 70 73 78 80 84 91 96 97 98 104 105 112 120 128 130 140 146 147 156 160 168 182 192 194 195 196 208 210 219 224 240 245 260 273 280 291 292 294 312 320 336 364 365 384 388 390 392 416 420 438 448 455 480 485 490 511 520 546 560 582 584 588 624 637 640 672 679 728 730 735 776 780 784 832 840 876 896 910 949 960 970 980 1022 1040 1092 1095 1120 1164 1168 1176 1248 1261 1274 1344 1358 1365 1455 1456 1460 1470 1533 1552 1560 1568 1664 1680 1752 1820 1898 1911 1920 1940 1960 2037 2044 2080 2184 2190 2240 2328 2336 2352 2496 2522 2548 2555 2688 2716 2730 2847 2910 2912 2920 2940 3066 3104 3120 3136 3185 3360 3395 3504 3577 3640 3783 3796 3822 3880 3920 4074 4088 4160 4368 4380 4480 4656 4672 4704 4745 4753 4992 5044 5096 5110 5432 5460 5694 5820 5824 5840 5880 6132 6208 6240 6272 6305 6370 6643 6720 6790 7008 7081 7154 7280 7566 7592 7644 7665 7760 7840 8148 8176 8320 8736 8760 8827 9312 9344 9408 9490 9506 9555 10088 10185 10192 10220 10731 10864 10920 11388 11640 11648 11680 11760 12264 12416 12480 12610 12740 13286 13440 13580 14016 14162 14235 14259 14308 14560 15132 15184 15288 15330 15520 15680 15937 16296 16352 17472 17520 17654 17885 18624 18816 18915 18980 19012 19110 19929 20176 20370 20384 20440 21243 21462 21728 21840 22776 23280 23360 23520 23765 24528 24960 25220 25480 26481 26572 27160 28032 28324 28470 28518 28616 29120 30264 30368 30576 30660 31040 31360 31874 32592 32704 33215 34944 35040 35308 35405 35770 37248 37830 37960 38024 38220 39858 40352 40740 40768 40880 42486 42924 43456 43680 44135 45552 46501 46560 46720 47040 47530 47811 49056 49567 50440 50960 52962 53144 53655 54320 56648 56940 57036 57232 58240 60528 60736 61152 61320 61789 62080 63748 65184 65408 66430 70080 70616 70810 71295 71540 75660 75920 76048 76440 79685 79716 80704 81480 81536 81760 84972 85848 86912 87360 88270 91104 92053 93002 93120 94080 95060 95622 98112 99134 99645 100880 101920 105924 106215 106288 107310 108640 111559 113296 113880 114072 114464 121056 121472 122304 122640 123578 127496 130368 132405 132860 139503 140160 141232 141620 142590 143080 148701 151320 151840 152096 152880 159370 159432 161408 162960 163520 169944 171696 174720 176540 182208 184106 185367 186004 186240 190120 191244 196224 198268 199290 201760 203840 207181 211848 212430 212576 214620 217280 223118 226592 227760 228144 228928 232505 239055 242112 244608 245280 247156 247835 254992 260736 264810 265720 276159 279006 282464 283240 285180 286160 297402 302640 303680 304192 305760 308945 318740 318864 325920 327040 334677 339888 343392 346969 353080 364416 368212 370734 372008 380240 382488 396536 398580 403520 407680 414362 423696 424860 425152 429240 434560 446236 453184 455520 456288 457856 460265 465010 478110 484224 490560 494312 495670 509984 529620 531440 552318 557795 558012 564928 566480 570360 572320 594804 605280 607360 608384 611520 617890 621543 637480 637728 644371 651840 669354 679776 686784 693938 697515 706160 736424 741468 743505 744016 760480 764976 780913 793072 797160 807040 828724 847392 849720 850304 858480 892472 906368 911040 912576 920530 926835 930020 956220 981120 988624 991340 1019968 1035905 1040907 1059240 1062880 1104636 1115590 1116024 1129856 1132960 1140720 1144640 1163401 1189608 1210560 1223040 1235780 1243086 1274960 1275456 1288742 1303680 1338708 1359552 1373568 1380795 1387876 1395030 1412320 1450267 1472848 1482936 1487010 1488032 1520960 1529952 1545889 1561826 1586144 1594320 1657448 1673385 1694784 1699440 1716960 1734845 1784944 1822080 1825152 1841060 1853670 1860040 1912440 1933113 1977248 1982680 2039936 2071810 2081814 2118480 2125760 2209272 2231180 2232048 2265920 2281440 2289280 2326802 2342739 2379216 2421120 2471560 2486172 2549920 2550912 2577484 2677416 2719104 2761590 2775752 2790060 2824640 2900534 2945696 2965872 2974020 2976064 3041920 3059904 3091778 3107715 3123652 3172288 3188640 3221855 3314896 3346770 3389568 3398880 3433920 3469690 3490203 3569888 3682120 3707340 3720080 3824880 3866226 3904565 3954496 3965360 4143620 4163628 4236960 4251520 4350801 4418544 4462360 4464096 4510597 4531840 4562880 4637667 4653604 4685478 4758432 4943120 4972344 5099840 5154968 5204535 5354832 5523180 5551504 5580120 5649280 5801068 5817005 5891392 5931744 5948040 5952128 6119808 6183556 6215430 6247304 6344576 6377280 6443710 6629792 6693540 6797760 6867840 6939380 6980406 7139776 7251335 7364240 7414680 7440160 7649760 7729445 7732452 7809130 7908992 7930720 8143807 8287240 8327256 8473920 8701602 8837088 8924720 8928192 9021194 9125760 9275334 9307208 9370956 9516864 9665565 9886240 9944688 10151869 10199680 10309936 10409070 10709664 10821223 11046360 11103008 11160240 11602136 11634010 11713695 11782784 11863488 11896080 12367112 12430860 12494608 12754560 12887420 13259584 13387080 13531791 13595520 13878760 13960812 14279552 14502670 14728480 14829360 14880320 15124213 15299520 15458890 15464904 15618260 15861440 16287614 16574480 16654512 16947840 17403204 17451015 17674176 17849440 17856384 18042388 18550668 18614416 18741912 19033728 19331130 19772480 19889376 20096557 20303738 20619872 20818140 21419328 21642446 21754005 22092720 22206016 22320480 22552985 23188335 23204272 23268020 23427390 23726976 23792160 24431421 24734224 24861720 24989216 25774840 26519168 26774160 27063582 27757520 27921624 29005340 29456960 29658720 29760640 30248426 30455607 30599040 30917780 30929808 31236520 31722880 32463669 32575228 33148960 33309024 34806408 34902030 35348352 35698880 36084776 37101336 37228832 37483824 38662260 39544960 39778752 40193114 40607476 40719035 41239744 41636280 42838656 43284892 43508010 44185440 44412032 44640960 45105970 45372639 46376670 46408544 46536040 46854780 47584320 48862842 49468448 49723440 49978432 50759345 51549680 53548320 54106115 54127164 55515040 55843248 57006649 58010680 58913920 59317440 60289671 60496852 60911214 61835560 61859616 62473040 64927338 65150456 66297920 66618048 67658955 69612816 69804060 71397760 72169552 74202672 74457664 74967648 75621065 75748561 77324520 79557504 80386228 81214952 81438070 82479488 83272560 86569784 87016020 88370880 89281920 90211940 90745278 92753340 92817088 93072080 93709560 95168640 97725684 98936896 99446880 99956864 100482785 101518690 103099360 105869491 107096640 108212230 108254328 111030080 111686496 112849897 114013298 116021360 118634880 120579342 120993704 121822428 122157105 123671120 123719232 124946080 129854676 130300912 132595840 133236096 135317910 139225632 139608120 140675899 144339104 148405344 148915328 149935296 151242130 151497122 152278035 154649040 160772456 162318345 162429904 162876140 166545120 171019947 173139568 174032040 176741760 180423880 181490556 185506680 185634176 186144160 187419120 195451368 197873792 198893760 200965570 203037380 206198720 211738982 214193280 216424460 216508656 222060160 223372992 225699794 226863195 227245683 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846955928 855099735 865697840 866034624 902799176 907452780 908982732 912106384 928170880 964634736 967949632 974579424 977256840 984731293 989368960 1038837408 1042407296 1058694910 1082543280 1116864960 1125407192 1128498970 1136228415 1140132980 1205793420 1209937040 1211976976 1218224280 1237192320 1270433892 1286179648 1298546760 1299439232 1303009120 1354198764 1368159576 1385116544 1392256320 1406758990 1443391040 1451924448 1467048661 1482172874 1484053440 1499352960 1514971220 1563610944 1579898558 1588042365 1607724560 1624299040 1688110788 1692748455 1693911856 1710199470 1731395680 1732069248 1805598352 1814905560 1817965464 1824212768 1929269472 1935899264 1949158848 1954513680 1969462586 2077674816 2110138485 2117389820 2165086560 2223259311 2233729920 2250814384 2256997940 2272456830 2280265960 2369847837 2411586840 2419874080 2423953952 2436448560 2540867784 2572359296 2597093520 2606018240 2708397528 2736319152 2784512640 2813517980 2886782080 2903848896 2934097322 2954193879 2964345748 2968106880 3029942440 3127221888 3159797116 3176084730 3215449120 3248598080 3376221576 3385496910 3387823712 3420398940 3462791360 3611196704 3629811120 3635930928 3648425536 3705432185 3858538944 3898317696 3909027360 3938925172 3949746395 4155349632 4220276970 4234779640 4330173120 4401145983 4446518622 4501628768 4513995880 4544913660 4560531920 4739695674 4823173680 4839748160 4847907904 4872897120 4923656465 5081735568 5194187040 5212036480 5416795056 5472638304 5529644953 5627035960 5807697792 5868194644 5908387758 5928691496 6059884880 6319594232 6352169460 6430898240 6497196160 6752443152 6770993820 6775647424 6840797880 6925582720 7222393408 7259622240 7271861856 7296851072 7335243305 7410864370 7717077888 7818054720 7877850344 7899492790 8440553940 8469559280 8660346240 8802291966 8893037244 9003257536 9027991760 9089827320 9121063840 9479391348 9646347360 9679496320 9695815808 9745794240 9847312930 10163471136 10269340627 10388374080 10833590112 10945276608 11059289906 11116296555 11254071920 11736389288 11816775516 11849239185 11857382992 12119769760 12639188464 12704338920 12861796480 13504886304 13541987640 13551294848 13681595760 14444786816 14519244480 14543723712 14670486610 14770969395 14821728740 15636109440 15755700688 15798985580 16588934859 16881107880 16939118560 17604583932 17786074488 18006515072 18055983520 18179654640 18242127680 18958782696 19292694720 19491588480 19694625860 20326942272 20538681254 20776748160 21667180224 21890553216 22005729915 22118579812 22232593110 22508143840 23472778576 23633551032 23698478370 23714765984 24239539520 25278376928 25408677840 27009772608 27083975280 27363191520 27648224765 29038488960 29087447424 29340973220 29541938790 29643457480 30808021881 31511401376 31597971160 33177869718 33762215760 33878237120 35209167864 35572148976 36111967040 36359309280 36484255360 37917565392 38585389440 39389251720 40653884544 41077362508 43334360448 44011459830 44237159624 44465186220 45016287680 46945557152 47267102064 47396956740 47429531968 48479079040 50556753856 50817355680 51346703135 54019545216 54167950560 54726383040 55296449530 58681946440 59083877580 59286914960 61616043762 63022802752 63195942320 66355739436 67524431520 67756474240 70418335728 71144297952 71885384389 72223934080 72718618560 75835130784 78778503440 82154725016 82944674295 88022919660 88474319248 88930372440 90032575360 93891114304 94534204128 94793913480 94859063936 101113507712 101634711360 102693406270 108335901120 109452766080 110592899060 117363892880 118167755160 118573829920 123232087524 126045605504 126391884640 132711478872 135048863040 140836671456 142288595904 143770768778 145437237120 151670261568 154040109405 157557006880 164309450032 165889348590 176045839320 176948638496 177860744880 187782228608 189068408256 189587826960 203269422720 205386812540 215656153167 216671802240 221185798120 234727785760 236335510320 237147659840 246464175048 252783769280 265422957744 270097726080 281673342912 284577191808 287541537556 303340523136 308080218810 315114013760 328618900064 331778697180 352091678640 353897276992 355721489760 359426921945 378136816512 379175653920 410773625080 431312306334 442371596240 469455571520 472671020640 474295319680 492928350096 505567538560 530845915488 563346685824 575083075112 616160437620 630228027520 657237800128 663557394360 704183357280 707794553984 711442979520 718853843890 758351307840 821547250160 862624612668 884743192480 938911143040 945342041280 985856700192 1061691830976 1078280765835 1150166150224 1232320875240 1314475600256 1327114788720 1408366714560 1422885959040 1437707687780 1516702615680 1643094500320 1725249225336 1769486384960 1890684082560 1971713400384 2123383661952 2156561531670 2300332300448 2464641750480 2654229577440 2816733429120 2875415375560 3286189000640 3450498450672 3538972769920 3943426800768 4313123063340 4600664600896 4929283500960 5308459154880 5750830751120 6572378001280 6900996901344 8626246126680 9201329201792 9858567001920 10616918309760 11501661502240 13801993802688 17252492253360 19717134003840 23003323004480 27603987605376 34504984506720 46006646008960 69009969013440 138019938026880
- Sum of all divisors σ(n): 564476584613760
- Sum of proper divisors (its aliquot sum) s(n): 426456646586880
- 138019938026880 is an abundant number, because the sum of its proper divisors (426456646586880) is greater than itself. Its abundance is 288436708560000
Bases of 138019938026880
- Binary: 111110110000111010001010110000011000101100000002
- Hexadecimal: 0x7D874560C580
- Base-36: 1CX9HFJ5HC
Squares and roots of 138019938026880
- 138019938026880 squared (1380199380268802) is 19049503292943795867602534400
- 138019938026880 cubed (1380199380268803) is 2629211263934949191645487239452023324672000
-
The
square root of 138019938026880 is 11748188.7126007641 -
The
cube root of 138019938026880 is 51678.9811170685
Scales and comparisons
How big is 138019938026880?- 138,019,938,026,880 seconds is equal to 4,388,607 years, 5 weeks, 3 days, 10 hours, 8 minutes.
-
To count from 1 to 138,019,938,026,880 would take you about ten million, nine hundred seventy-one thousand, five hundred seventeen 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 138019938026880 cubic inches would be around 4306.6 feet tall.
Recreational maths with 138019938026880
- 138019938026880 backwards is 088620839910831
- The number of decimal digits it has is: 15
- The sum of 138019938026880's digits is 66
- More coming soon!
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"Number 138019938026880 - Facts about the integer". Numbermatics.com. 2024. Web. 21 May 2024.
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Numbermatics. (2024). Number 138019938026880 - Facts about the integer. Retrieved 21 May 2024, from https://numbermatics.com/n/138019938026880/
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The information we have on file for 138019938026880 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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