138434031321600

Names of 138434031321600

• Cardinal: 138434031321600 can be written as One hundred thirty-eight trillion, four hundred thirty-four billion, thirty-one million, three hundred twenty-one thousand, six hundred.

Scientific notation

• Scientific notation: 1.384340313216 × 10¹⁴

Factors of 138434031321600

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 2101

Divisors of 138434031321600

• Number of divisors d(n): 1920
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 31 32 35 40 42 48 50 56 60 62 64 70 75 79 80 84 93 96 100 105 112 113 120 124 128 140 150 155 158 160 168 175 186 192 200 210 217 224 226 237 240 248 256 280 300 310 316 320 336 339 350 372 384 395 400 420 434 448 452 465 474 480 496 512 525 553 560 565 600 620 632 640 651 672 678 700 744 768 775 790 791 800 840 868 896 904 930 948 960 992 1050 1085 1106 1120 1130 1185 1200 1240 1264 1280 1302 1344 1356 1400 1488 1536 1550 1580 1582 1600 1659 1680 1695 1736 1792 1808 1860 1861 1896 1920 1975 1984 2100 2170 2212 2240 2260 2325 2370 2373 2400 2449 2480 2528 2560 2604 2688 2712 2765 2800 2825 2976 3100 3160 3164 3200 3255 3318 3360 3390 3472 3503 3584 3616 3720 3722 3792 3840 3950 3955 3968 4200 4340 4424 4480 4520 4650 4740 4746 4800 4898 4960 5056 5208 5376 5424 5425 5530 5583 5600 5650 5925 5952 6200 6320 6328 6400 6510 6636 6720 6780 6944 7006 7232 7347 7440 7444 7584 7680 7900 7910 7936 8295 8400 8475 8680 8848 8927 8960 9040 9300 9305 9480 9492 9600 9796 9920 10112 10416 10509 10752 10848 10850 11060 11166 11200 11300 11850 11865 11904 12245 12400 12640 12656 12800 13020 13027 13272 13440 13560 13825 13888 14012 14464 14694 14880 14888 15168 15800 15820 15872 16275 16590 16800 16950 17143 17360 17515 17696 17854 17920 18080 18600 18610 18960 18984 19200 19592 19775 19840 20224 20832 21018 21696 21700 22120 22332 22400 22600 23700 23730 23808 24490 24521 24800 25280 25312 26040 26054 26544 26781 26880 27120 27650 27776 27915 28024 28928 29388 29760 29776 30336 31600 31640 32550 33180 33600 33900 34286 34720 35030 35392 35708 36160 36735 37200 37220 37920 37968 38400 39081 39184 39550 39680 40448 41475 41664 42036 43392 43400 44240 44635 44664 44800 45200 46525 47400 47460 47616 48980 49042 49600 50560 50624 51429 52080 52108 52545 53088 53562 53760 54240 55300 55552 55830 56048 57691 57856 58776 59325 59520 59552 60672 61225 62489 63200 63280 65100 65135 66360 67200 67800 68572 69440 70060 70784 71416 72320 73470 73563 74400 74440 75840 75936 78162 78368 79100 79360 82950 83328 84072 85715 86784 86800 87575 88480 89270 89328 89600 90400 93050 94800 94920 97960 98084 99200 101120 101248 102858 104160 104216 105090 106176 107124 108480 110600 111104 111660 112096 115382 117552 118650 119040 119104 121344 122450 122605 124978 126400 126560 130200 130270 132720 133905 134400 135600 137144 138880 139575 140120 141568 142832 144640 146940 147019 147126 148800 148880 151680 151872 156324 156736 158200 165900 166656 168144 171430 173073 173568 173600 175150 176960 178540 178656 180800 183675 186100 187467 189600 189840 195405 195920 196168 198400 202240 202496 205716 208320 208432 210180 210293 212352 214248 216960 221200 223175 223320 224192 230764 235104 237300 238080 238208 244900 245210 249956 252800 253120 257145 260400 260540 262725 265440 267810 268800 271200 274288 276737 277760 279150 280240 283136 285664 288455 289280 293880 294038 294252 297600 297760 303360 303744 312445 312648 313472 316400 325675 331800 333312 336288 342860 346146 347200 350300 353920 357080 357312 361600 367350 367815 372200 374934 379200 379680 390810 391840 392336 396800 403837 404992 411432 416640 416864 420360 420586 424704 428496 428575 433920 441057 442400 446350 446640 448384 461528 470208 474600 476416 489800 490420 499912 505600 506240 514290 520800 521080 525450 530880 535620 542400 548576 553474 555520 558300 560480 571328 576910 587760 588076 588504 595200 595520 606720 607488 613025 624890 625296 626944 630879 632800 651350 663600 669525 672576 685720 692292 694400 700600 707840 714160 714624 723200 734700 735095 735630 744400 749868 758400 759360 781620 783680 784672 807674 822864 830211 833280 833728 840720 841172 849408 856992 857150 865365 867840 882114 884800 892700 893280 896768 923056 937335 940416 949200 952832 977025 979600 980840 999824 1011200 1012480 1028580 1029133 1041600 1042160 1050900 1051465 1061760 1071240 1084800 1097152 1106948 1116600 1120960 1142656 1153820 1175520 1176152 1177008 1190400 1191040 1211511 1214976 1226050 1249780 1250592 1253888 1261758 1265600 1285725 1302700 1327200 1339050 1345152 1371440 1383685 1384584 1388800 1401200 1415680 1428320 1429248 1442275 1446400 1469400 1470190 1471260 1472051 1488800 1499736 1516800 1518720 1562225 1563240 1567360 1569344 1615348 1645728 1660422 1666560 1667456 1681440 1682344 1713984 1714300 1730730 1764228 1769600 1785400 1786560 1793536 1839075 1846112 1874670 1880832 1898400 1937159 1954050 1959200 1961680 1999648 2019185 2024960 2057160 2058266 2083200 2084320 2101800 2102930 2123520 2142480 2169600 2194304 2205285 2213896 2233200 2241920 2285312 2307640 2351040 2352304 2354016 2382080 2423022 2452100 2499560 2501184 2523516 2531200 2571450 2605400 2654400 2678100 2690304 2742880 2767370 2769168 2777600 2802400 2856640 2858496 2884550 2938800 2940380 2942520 2944102 2977600 2999472 3033600 3037440 3087399 3124450 3126480 3134720 3138688 3154395 3230696 3291456 3320844 3334912 3362880 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23552816 23820800 23995776 24230220 24699192 24995600 25011840 25235160 25728325 25845568 26076332 26331648 26566752 26903040 26917504 27345534 27428800 27673700 27691680 28227648 28566400 29057385 29403800 29425200 29441020 29537792 29994720 30287775 30374400 30873990 30994544 31264800 31347200 31386880 31543950 31903123 31994368 32306960 32595415 32914560 32932256 33208440 33226294 33349120 33628800 33646880 34279680 34614600 35284560 35329224 35422336 35731200 36460712 36801275 36922240 37493400 37636864 37664256 38743180 38768352 39114498 39233600 39992960 40376256 40383700 41143200 41165320 41510550 41686400 42058600 42849600 43886080 44105700 44161530 44277920 44306688 44838400 45575890 45633581 46152800 46491816 47020800 47046080 47080320 47105632 47991552 48428975 48460440 49398384 49839441 49991200 50023680 50470320 51456650 51691136 52152664 53133504 53835008 54691068 54857600 55347400 55383360 56455296 57132800 58114770 58807600 58850400 58882040 59989440 60575550 61747980 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154369950 154972720 155073408 156457992 156934400 159515615 159971840 161505024 161534800 162977075 164572800 164661280 166042200 166131470 166745600 168234400 171398400 176422800 176646120 177111680 182303560 182534324 184611200 185967264 188184320 188321280 188422528 191418738 193715900 193841760 195572490 197593536 199357764 199964800 201881280 205826600 206764544 208610656 212534016 218764272 219430400 220807650 221389600 221533440 225821184 227879450 228167905 232459080 232584058 235230400 235401600 235528160 239957760 242302200 246991920 247956352 249197205 250118400 252351600 255224984 258455680 260763320 263458048 265667520 265810352 269175040 273455340 273801486 276916800 282276480 282633792 290573850 291685696 294410200 299947200 308739900 309945440 310146816 312915984 313868800 319031230 323010048 323069600 325954150 329145600 329322560 332084400 332262940 336468800 341819175 342796800 348876087 352845600 353292240 354223360 364607120 365068648 369222400 371934528 376368640 376845056 382837476 387431800 387683520 391144980 395187072 398715528 399929600 403762560 411653200 415328675 417221312 425068032 437528544 441615300 442779200 443066880 455758900 456335810 464918160 465168116 470460800 470803200 471056320 478546845 479915520 484604400 488931225 493983840 495912704 498394410 500236800 504703200 510449968 515007557 516911360 521526640 526916096 531335040 531620704 538350080 546910680 547602972 553833600 564552960 565267584 581147700 581460145 583371392 588820400 599894400 617479800 619890880 620293632 625831968 638062460 646139200 651908300 658291200 658645120 664168800 664525880 672937600 683638350 684503715 697752174 705691200 706584480 708446720 729214240 730137296 738444800 743869056 753690112 765674952 774863600 775367040 782289960 790374144 797431056 797578075 799859200 807525120 823306400 830657350 834442624 875057088 883230600 885558400 911517800 912671620 929836320 930336232 940921600 941606400 942112640 957093690 969208800 977862450 987967680 991825408 996788820 1009406400 1020899936 1030015114 1033822720 1043053280 1062670080 1063241408 1093821360 1095205944 1107667200 1129105920 1130535168 1140839525 1162295400 1162920290 1166742784 1177640800 1199788800 1234959600 1239781760 1245986025 1251663936 1276124920 1292278400 1303816600 1317290240 1328337600 1329051760 1345875200 1367276700 1369007430 1395504348 1411382400 1413168960 1458428480 1460274592 1487738112 1531349904 1545022671 1549727200 1550734080 1564579920 1580748288 1594862112 1595156150 1615050240 1646612800 1661314700 1668885248 1744380435 1750114176 1766461200 1771116800 1823035600 1825343240 1859672640 1860672464 1881843200 1884225280 1914187380 1938417600 1955724900 1975935360 1993577640 2018812800 2041799872 2060030228 2086106560 2125340160 2126482816 2187642720 2190411888 2215334400 2261070336 2281679050 2324590800 2325840580 2333485568 2355281600 2392734225 2399577600 2469919200 2479563520 2491972050 2503327872 2552249840 2575037785 2584556800 2607633200 2634580480 2656675200 2658103520 2691750400 2734553400 2738014860 2791008696 2822764800 2826337920 2907300725 2916856960 2920549184 2975476224 3062699808 3090045342 3099454400 3101468160 3129159840 3189724224 3190312300 3293225600 3322629400 3337770496 3422518575 3488760870 3500228352 3532922400 3542233600 3605052899 3646071200 3650686480 3719345280 3721344928 3768450560 3828374760 3876835200 3911449800 3951870720 3987155280 4037625600 4083599744 4120060456 4172213120 4252965632 4375285440 4380823776 4563358100 4649181600 4651681160 4710563200 4785468450 4939838400 4959127040 4983944100 5006655744 5104499680 5150075570 5169113600 5215266400 5313350400 5316207040 5469106800 5476029720 5582017392 5645529600 5652675840 5814601450 5833713920 5841098368 6125399616 6180090684 6198908800 6258319680 6379448448 6380624600 6586451200 6645258800 6845037150 6977521740 7000456704 7065844800 7210105798 7292142400 7301372960 7438690560 7442689856 7656749520 7725113355 7753670400 7822899600 7903741440 7974310560 8075251200 8167199488 8240120912 8344426240 8505931264 8721902175 8750570880 8761647552 9126716200 9298363200 9303362320 9421126400 9570936900 9879676800 9967888200 10013311488 10208999360 10300151140 10430532800 10626700800 10632414080 10815158697 10938213600 10952059440 11164034784 11305351680 11629202900 11667427840 11682196736 12250799232 12360181368 12397817600 12516639360 12758896896 12761249200 12875188925 13172902400 13290517600 13690074300 13955043480 14131689600 14420211596 14584284800 14602745920 14877381120 14885379712 15313499040 15450226710 15507340800 15645799200 15948621120 16334398976 16480241824 16688852480 17443804350 17501141760 17523295104 18025264495 18253432400 18596726400 18606724640 18842252800 19141873800 19759353600 19935776400 20417998720 20600302280 20861065600 21264828160 21630317394 21876427200 21904118880 22328069568 23258405800 23364393472 24501598464 24720362736 24795635200 25033278720 25517793792 25522498400 25750377850 26581035200 27380148600 27910086960 28263379200 28840423192 29168569600 29205491840 29770759424 30626998080 30900453420 31291598400 31897242240 32960483648 34887608700 35002283520 35046590208 36050528990 36506864800 37193452800 37213449280 38283747600 38625566775 39518707200 39871552800 40835997440 41200604560 41722131200 42529656320 43260634788 43752854400 43808237760 44656139136 46516811600 49003196928 49440725472 50066557440 51044996800 51500755700 53162070400 54075793485 54760297200 55820173920 56526758400 57680846384 58337139200 58410983680 59541518848 61253996160 61800906840 62583196800 63794484480 65920967296 69775217400 70093180416 72101057980 73013729600 74386905600 74426898560 76567495200 77251133550 79743105600 81671994880 82401209120 83444262400 86521269576 87505708800 87616475520 89312278272 90126322475 93033623200 98881450944 102089993600 103001511400 106324140800 108151586970 109520594400 111640347840 115361692768 116821967360 122507992320 123601813680 125166393600 127588968960 131841934592 139550434800 144202115960 146027459200 148853797120 153134990400 154502267100 159486211200 164802418240 173042539152 175011417600 175232951040 178624556544 180252644950 186067246400 197762901888 204179987200 206003022800 212648281600 216303173940 219041188800 223280695680 230723385536 245015984640 247203627360 250332787200 263683869184 270378967425 279100869600 288404231920 292054918400 297707594240 306269980800 309004534200 318972422400 329604836480 346085078304 350465902080 360505289900 372134492800 395525803776 408359974400 412006045600 432606347880 438082377600 446561391360 461446771072 494407254720 540757934850 558201739200 576808463840 584109836800 612539961600 618009068400 637944844800 659209672960 692170156608 721010579800 744268985600 791051607552 824012091200 865212695760 876164755200 893122782720 922893542144 988814509440 1081515869700 1116403478400 1153616927680 1225079923200 1236018136800 1318419345920 1384340313216 1442021159600 1488537971200 1648024182400 1730425391520 1752329510400 1845787084288 1977629018880 2163031739400 2232806956800 2307233855360 2472036273600 2768680626432 2884042319200 3296048364800 3460850783040 3955258037760 4326063478800 4465613913600 4614467710720 4944072547200 5537361252864 5768084638400 6592096729600 6921701566080 8652126957600 9228935421440 9888145094400 11536169276800 13843403132160 17304253915200 19776290188800 23072338553600 27686806264320 34608507830400 46144677107200 69217015660800 138434031321600
• Sum of all divisors σ(n): 551457184481280
• Sum of proper divisors (its aliquot sum) s(n): 413023153159680
• 138434031321600 is an abundant number, because the sum of its proper divisors (413023153159680) is greater than itself. Its abundance is 274589121838080

Bases of 138434031321600

• Binary: 11111011110011110101111010000110000001000000000₂
• Hexadecimal: 0x7DE7AF430200
• Base-36: 1D2JPRZKLC

Squares and roots of 138434031321600

• 138434031321600 squared (138434031321600²) is 19163981027949729842626560000
• 138434031321600 cubed (138434031321600³) is 2652947149869741066064423445852061696000000
• The square root of 138434031321600 is 11765799.2215403711
• The cube root of 138434031321600 is 51730.6126755601

Scales and comparisons

• 138,434,031,321,600 seconds is equal to 4,401,773 years, 51 weeks, 3 days, 21 hours, 20 minutes.
• To count from 1 to 138,434,031,321,600 would take you about eleven million, four thousand, four 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 138434031321600 cubic inches would be around 4310.9 feet tall.

Recreational maths with 138434031321600

• 138434031321600 backwards is 006123130434831
• The number of decimal digits it has is: 15
• The sum of 138434031321600's digits is 39
• More coming soon!