138900742970976
138,900,742,970,976 is an even composite number composed of seven prime numbers multiplied together.
138900742970976 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 138900742970976:
25 × 34 × 72 × 31 × 59 × 73 × 8191
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 7 × 31 × 59 × 73 × 8191)See below for interesting mathematical facts about the number 138900742970976 from the Numbermatics database.
Names of 138900742970976
- Cardinal: 138900742970976 can be written as One hundred thirty-eight trillion, nine hundred billion, seven hundred forty-two million, nine hundred seventy thousand, nine hundred seventy-six.
Scientific notation
- Scientific notation: 1.38900742970976 × 1014
Factors of 138900742970976
Divisors of 138900742970976
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 31 32 36 42 48 49 54 56 59 62 63 72 73 81 84 93 96 98 108 112 118 124 126 144 146 147 162 168 177 186 189 196 216 217 219 224 236 248 252 279 288 292 294 324 336 354 372 378 392 413 432 434 438 441 472 496 504 511 531 558 567 584 588 648 651 657 672 708 744 756 784 826 837 864 868 876 882 944 992 1008 1022 1062 1116 1134 1168 1176 1239 1296 1302 1314 1323 1416 1488 1512 1519 1533 1568 1593 1652 1674 1736 1752 1764 1829 1888 1953 1971 2016 2044 2124 2232 2263 2268 2336 2352 2478 2511 2592 2604 2628 2646 2832 2891 2976 3024 3038 3066 3186 3304 3348 3472 3504 3528 3577 3658 3717 3906 3942 3969 4088 4248 4307 4464 4526 4536 4557 4599 4704 4779 4956 5022 5208 5256 5292 5487 5664 5782 5859 5913 6048 6076 6132 6372 6608 6696 6789 6944 7008 7056 7154 7316 7434 7812 7884 7938 8176 8191 8496 8614 8673 8928 9052 9072 9114 9198 9558 9912 10044 10416 10512 10584 10731 10974 11151 11564 11718 11826 12152 12264 12744 12803 12921 13216 13392 13578 13671 13797 14112 14308 14632 14868 15624 15768 15841 15876 16352 16382 16461 16992 17228 17346 17577 18104 18144 18228 18396 19116 19824 20088 20367 20832 21024 21168 21462 21948 22302 23128 23436 23652 24304 24528 24573 25488 25606 25842 26019 26784 27156 27342 27594 28616 29264 29736 30149 31248 31536 31682 31752 32193 32764 32922 33453 34456 34692 35154 36208 36456 36792 38232 38409 38763 39648 40176 40734 41013 41391 42336 42924 43896 44604 46256 46872 47304 47523 48608 49056 49146 49383 50976 51212 51684 52038 54312 54684 55188 57232 57337 58528 59472 60298 61101 62496 63072 63364 63504 64386 65528 65844 66906 68912 69384 70308 72416 72912 73584 73719 76464 76818 77526 78057 80352 81468 82026 82782 85848 87792 89208 89621 90447 92512 93744 94608 95046 96579 98292 98766 102424 103368 104076 108624 109368 110376 110887 114464 114674 115227 116289 118944 120596 122202 123039 126728 127008 128772 131056 131688 133517 133812 137824 138768 140616 142569 145824 147168 147438 148149 152928 153636 155052 156114 162936 164052 165564 171696 172011 175584 178416 179242 180894 183303 187488 189216 190092 193158 196584 197532 204848 206736 208152 211043 217248 218736 220752 221157 221774 229348 230454 232578 234171 241192 244404 246078 253456 253921 257544 262112 263376 267034 267624 268863 271341 277536 281232 285138 289737 294876 296298 307272 310104 312228 325872 328104 331128 332661 343392 344022 345681 348867 356832 358484 361788 366606 380184 386316 393168 395064 400551 401359 409696 413472 416304 422086 427707 437472 441504 442314 443548 458696 460908 465156 468342 482384 483269 488808 492156 506912 507842 515088 516033 526752 534068 535248 537726 542682 562464 570276 579474 589752 592596 597943 614544 620208 624456 633129 651744 656208 662256 663471 665322 688044 691362 697734 716968 723576 733212 760368 761763 772632 786336 790128 801102 802718 806589 814023 832608 844172 855414 884628 887096 917392 921816 930312 934619 936684 964768 966538 977616 984312 997983 1015684 1030176 1032066 1037043 1068136 1070496 1075452 1085364 1140552 1158948 1179504 1185192 1195886 1201653 1204077 1229088 1240416 1248912 1266258 1283121 1312416 1324512 1326942 1330644 1376088 1382724 1395468 1433936 1447152 1449807 1466424 1520736 1523526 1545264 1548099 1580256 1602204 1605436 1613178 1628046 1688344 1710828 1769256 1774192 1777447 1793829 1834784 1843632 1860624 1869238 1873368 1899387 1933076 1955232 1968624 1995966 2031368 2064132 2074086 2136272 2150904 2170728 2281104 2285289 2317896 2359008 2370384 2391772 2403306 2408154 2419767 2442069 2497824 2532516 2566242 2653884 2661288 2752176 2765448 2790936 2803857 2867872 2894304 2899614 2932848 2993949 3047052 3090528 3096198 3204408 3210872 3226356 3256092 3376688 3382883 3421656 3538512 3548384 3554894 3587658 3604959 3612231 3687264 3721248 3738476 3746736 3798774 3866152 3937248 3991932 4062736 4128264 4148172 4185601 4272544 4301808 4341456 4349421 4562208 4570578 4635792 4644297 4740768 4783544 4806612 4816308 4839534 4884138 5065032 5132484 5307768 5322576 5332341 5381487 5504352 5530896 5581872 5607714 5698161 5799228 5865696 5987898 6094104 6192396 6408816 6421744 6452712 6512184 6542333 6753376 6765766 6843312 6855867 7077024 7109788 7175316 7209918 7224462 7259301 7476952 7493472 7597548 7732304 7983864 8125472 8256528 8296344 8371202 8411571 8603616 8682912 8698842 8981847 9141156 9271584 9288594 9567088 9613224 9632616 9679068 9768276 10130064 10148649 10264968 10615536 10645152 10664682 10762974 10814877 10836693 11061792 11163744 11215428 11396322 11598456 11975796 12188208 12384792 12442129 12556803 12817632 12843488 12905424 13024368 13048263 13084666 13531532 13686624 13711734 14219576 14350632 14419836 14448924 14518602 14953904 14981339 15195096 15464608 15967728 15997023 16144461 16513056 16592688 16742404 16823142 17094483 17397684 17963694 18282312 18536233 18577188 19134176 19226448 19265232 19358136 19536552 19626999 20260128 20297298 20529936 20567601 21231072 21329364 21525948 21629754 21673386 22430856 22792644 23196912 23680181 23951592 24376416 24769584 24884258 25113606 25234713 25810848 26048736 26096526 26169332 27063064 27423468 28439152 28701264 28839672 28897848 29037204 29299207 29907808 29962678 30390192 30445947 31935456 31994046 32288922 32510079 33185376 33484808 33646284 34188966 34795368 35278637 35927388 36564624 37072466 37154376 37326387 37670409 38452896 38530464 38716272 39073104 39144789 39253998 40594596 41059872 41135202 42658728 43051896 43259508 43346772 44861712 44944017 45585288 46393824 47360362 47903184 47991069 48433383 49539168 49768516 50227212 50469426 52193052 52338664 54126128 54846936 55608699 56878304 57402528 57679344 57795696 58074408 58598414 58880997 59925356 60780384 60891894 63988092 64577844 65020158 66969616 67292568 68377932 69590736 70557274 71040543 71854776 73129248 74144932 74308752 74652774 75340818 75704139 77432544 78146208 78289578 78507996 81189192 82270404 85317456 86103792 86519016 86693544 87897621 89723424 89888034 91170576 91337841 94720724 95806368 95982138 96866766 99537032 100454424 100938852 104386104 104677328 104869373 105835911 108252256 109693872 111217398 111979161 113011227 115358688 115591392 116148816 117196828 117761994 119850712 121783788 127976184 129155688 129753631 130040316 133939232 134585136 134832051 136755864 139181472 141114548 142081086 143709552 143973207 148289864 148617504 149305548 150681636 151408278 156579156 157015992 162378384 164540808 166826097 170634912 172207584 173038032 173387088 175795242 176642991 179776068 182341152 182675682 189441448 191964276 193733532 199074064 200908848 201877704 208772208 209354656 209738746 211671822 213121629 219387744 222434796 223958322 226022454 232297632 234393656 235523988 239701424 243567576 246950459 255952368 258311376 259507262 260080632 263692863 269170272 269664102 273511728 274013523 282229096 284162172 287419104 287946414 296579728 298611096 301363272 302816556 313158312 314031984 314608119 317507733 324756768 329081616 333652194 335937483 339033681 346076064 346774176 351590484 353285982 359552136 365351364 378882896 383928552 387467064 389260893 398148128 401817696 403755408 404496153 417544416 419477492 423343644 426243258 444869592 447916644 452044908 468787312 471047976 479402848 487135152 493900918 500478291 511904736 516622752 519014524 520161264 527385726 529928973 539328204 547023456 548027046 564458192 568324344 575892828 593159456 597222192 602726544 605633112 626316624 628063968 629216238 635015466 639364887 658163232 667304388 671874966 678067362 703180968 706571964 719104272 730702728 734085611 740851377 757765792 767857104 774934128 778521786 791078589 807510816 808992306 838954984 846687288 852486516 889739184 895833288 904089816 908275417 937574624 942095952 943824357 952523199 974270304 987801836 1000956582 1007812449 1038029048 1040322528 1054771452 1059857946 1078656408 1093637747 1096054092 1128916384 1136648688 1151785656 1167782679 1194444384 1205453088 1211266224 1213488459 1252633248 1258432476 1270030932 1278729774 1334608776 1343749932 1356134724 1406361936 1413143928 1438208544 1461405456 1468171222 1481702754 1501434873 1535714208 1549868256 1557043572 1582157178 1617984612 1677909968 1693374576 1704973032 1728653213 1779478368 1791666576 1808179632 1816550834 1884191904 1887648714 1905046398 1918094661 1975603672 2001913164 2015624898 2076058096 2109542904 2119715892 2157312816 2187275494 2192108184 2202256833 2222554131 2273297376 2303571312 2335565358 2373235767 2422532448 2426976918 2516864952 2540061864 2557459548 2669217552 2687499864 2712269448 2724826251 2812723872 2826287856 2831473071 2857569597 2922810912 2936342444 2963405508 3002869746 3114087144 3164314356 3235969224 3280913241 3355819936 3386749152 3409946064 3457306426 3503348037 3583333152 3616359264 3633101668 3775297428 3810092796 3836189322 3951207344 4003826328 4031249796 4152116192 4219085808 4239431784 4314625632 4374550988 4384216368 4404513666 4445108262 4607142624 4671130716 4746471534 4853953836 5033729904 5080123728 5114919096 5185959639 5338435104 5374999728 5424538896 5449652502 5652575712 5662946142 5715139194 5872684888 5926811016 6005739492 6228174288 6328628712 6471938448 6561826482 6606770499 6667662393 6819892128 6914612852 7006696074 7266203336 7550594856 7620185592 7655464229 7672378644 7902414688 8007652656 8062499592 8174478753 8438171616 8478863568 8494419213 8749101976 8768432736 8809027332 8890216524 9342261432 9492943068 9707907672 9842739723 10067459808 10160247456 10229838192 10371919278 10510044111 10749999456 10849077792 10899305004 11325892284 11430278388 11745369776 11853622032 12011478984 12456348576 12657257424 12943876896 13123652964 13213540998 13335324786 13829225704 14013392148 14532406672 15101189712 15240371184 15310928458 15344757288 15557878917 16015305312 16124999184 16348957506 16957727136 16988838426 17498203952 17618054664 17780433048 18684522864 18985886136 19415815344 19685479446 19820311497 20002987179 20459676384 20743838556 21020088222 21798610008 22651784568 22860556776 22966392687 23490739552 23707244064 24022957968 24523436259 25314514848 26247305928 26427081996 26670649572 27658451408 28026784296 29064813344 29528219169 30202379424 30480742368 30621856916 30689514576 31115757834 32249998368 32697915012 33977676852 34996407904 35236109328 35560866096 37369045728 37971772272 38831630688 39370958892 39640622994 40005974358 41487677112 42040176444 43597220016 45303569136 45721113552 45932785374 46673636751 48045915936 49046872518 52494611856 52854163992 53341299144 53588249603 55316902816 56053568592 59056438338 59460934491 61243713832 61379029152 62231515668 65395830024 67955353704 68899178061 70472218656 71121732192 73570308777 75943544544 78741917784 79281245988 80011948716 82975354224 84080352888 87194440032 88584657507 90607138272 91442227104 91865570748 93347273502 98093745036 104989223712 105708327984 106682598288 107176499206 112107137184 118112876676 118921868982 122487427664 124463031336 130791660048 135910707408 137798356122 140020910253 147140617554 157483835568 158562491976 160023897432 160764748809 165950708448 168160705776 177169315014 183731141496 186694547004 196187490072 206697534183 211416655968 213365196576 214352998412 236225753352 237843737964 244974855328 248926062672 261583320096 271821414816 275596712244 280041820506 294281235108 314967671136 317124983952 320047794864 321529497618 336321411552 354338630028 367462282992 373389094008 392374980144 413395068366 428705996824 472451506704 475687475928 482294246427 497852125344 551193424488 560083641012 588562470216 620092602549 634249967904 640095589728 643058995236 708677260056 734924565984 746778188016 784749960288 826790136732 857411993648 944903013408 951374951856 964588492854 1102386848976 1120167282024 1177124940432 1240185205098 1286117990472 1417354520112 1446882739281 1493556376032 1653580273464 1714823987296 1902749903712 1929176985708 2204773697952 2240334564048 2354249880864 2480370410196 2572235980944 2834709040224 2893765478562 3307160546928 3858353971416 4340648217843 4480669128096 4960740820392 5144471961888 5787530957124 6614321093856 7716707942832 8681296435686 9921481640784 11575061914248 15433415885664 17362592871372 19842963281568 23150123828496 34725185742744 46300247656992 69450371485488 138900742970976
- Sum of all divisors σ(n): 505735765032960
- Sum of proper divisors (its aliquot sum) s(n): 366835022061984
- 138900742970976 is an abundant number, because the sum of its proper divisors (366835022061984) is greater than itself. Its abundance is 227934279091008
Bases of 138900742970976
- Binary: 111111001010100010110010111000110011110011000002
- Hexadecimal: 0x7E5459719E60
- Base-36: 1D8I4C1Y00
Squares and roots of 138900742970976
- 138900742970976 squared (1389007429709762) is 19293416397889138671178392576
- 138900742970976 cubed (1389007429709763) is 2679869872115212875524377053559802301874176
-
The
square root of 138900742970976 is 11785615.9351548529 -
The
cube root of 138900742970976 is 51788.6817262177
Scales and comparisons
How big is 138900742970976?- 138,900,742,970,976 seconds is equal to 4,416,613 years, 50 weeks, 6 days, 2 hours, 9 minutes, 36 seconds.
-
To count from 1 to 138,900,742,970,976 would take you about eleven million, forty-one thousand, five hundred thirty-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 138900742970976 cubic inches would be around 4315.7 feet tall.
Recreational maths with 138900742970976
- 138900742970976 backwards is 679079247009831
- 138900742970976 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138900742970976's digits is 72
- More coming soon!
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"Number 138900742970976 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
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Numbermatics. (2024). Number 138900742970976 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/138900742970976/
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The information we have on file for 138900742970976 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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