137630987032985600

Names of 137630987032985600

• Cardinal: 137630987032985600 can be written as One hundred thirty-seven quadrillion, six hundred thirty trillion, nine hundred eighty-seven billion, thirty-two million, nine hundred eighty-five thousand, six hundred.

Scientific notation

• Scientific notation: 1.376309870329856 × 10¹⁷

Factors of 137630987032985600

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 27
• Sum of prime factors: 3146

Divisors of 137630987032985600

• Number of divisors d(n): 1134
• Complete list of divisors:
  1 2 4 5 7 8 10 11 14 16 20 22 25 28 32 35 40 44 49 50 55 56 64 70 77 80 88 98 100 110 112 128 140 154 160 175 176 196 200 220 224 245 256 275 280 308 320 350 352 385 392 400 440 448 490 512 539 550 560 616 640 700 704 770 784 800 880 896 980 1024 1078 1100 1120 1225 1232 1280 1400 1408 1540 1568 1600 1760 1792 1925 1960 2048 2156 2200 2240 2450 2464 2560 2695 2800 2816 3080 3121 3136 3200 3520 3584 3850 3920 4096 4312 4400 4480 4900 4928 5120 5390 5600 5632 6160 6242 6272 6400 7040 7168 7700 7840 8192 8624 8800 8960 9800 9856 10240 10780 11200 11264 12320 12484 12544 12800 13475 14080 14336 15400 15605 15680 16384 17248 17600 17920 19600 19712 20480 21560 21847 22400 22528 24640 24968 25088 25600 26950 28160 28672 30800 31210 31360 32768 34331 34496 35200 35840 39200 39424 40960 43120 43694 44800 45056 49280 49936 50176 51200 53900 56320 57344 61600 62420 62720 65536 68662 68992 70400 71680 78025 78400 78848 81920 86240 87388 89600 90112 98560 99872 100352 102400 107800 109235 112640 114688 123200 124840 125440 131072 137324 137984 140800 143360 152929 156050 156800 157696 163840 171655 172480 174776 179200 180224 197120 199744 200704 204800 215600 218470 225280 229376 240317 246400 249680 250880 262144 274648 275968 281600 286720 305858 312100 313600 315392 327680 343310 344960 349552 358400 360448 394240 399488 401408 409600 431200 436940 450560 458752 480634 492800 499360 501760 524288 546175 549296 551936 563200 573440 611716 624200 627200 630784 655360 686620 689920 699104 716800 720896 764645 788480 798976 802816 819200 858275 862400 873880 901120 917504 961268 985600 998720 1003520 1048576 1092350 1098592 1103872 1126400 1146880 1201585 1223432 1248400 1254400 1261568 1310720 1373240 1379840 1398208 1433600 1441792 1529290 1576960 1597952 1605632 1638400 1682219 1716550 1724800 1747760 1802240 1835008 1922536 1971200 1997440 2007040 2184700 2197184 2207744 2252800 2293760 2403170 2446864 2496800 2508800 2523136 2621440 2746480 2759680 2796416 2867200 2883584 3058580 3153920 3195904 3211264 3276800 3364438 3433100 3449600 3495520 3604480 3670016 3823225 3845072 3942400 3994880 4014080 4369400 4394368 4415488 4505600 4587520 4806340 4893728 4993600 5017600 5046272 5242880 5492960 5519360 5592832 5734400 5767168 6007925 6117160 6307840 6391808 6422528 6553600 6728876 6866200 6899200 6991040 7208960 7340032 7646450 7690144 7884800 7989760 8028160 8411095 8738800 8788736 8830976 9011200 9175040 9612680 9740641 9787456 9987200 10035200 10092544 10985920 11038720 11185664 11468800 11534336 12015850 12234320 12615680 12783616 12845056 13107200 13457752 13732400 13798400 13982080 14417920 15292900 15380288 15769600 15979520 16056320 16822190 17477600 17577472 17661952 18022400 18350080 19225360 19481282 19574912 19974400 20070400 20185088 21971840 22077440 22371328 22937600 24031700 24468640 25231360 25567232 25690112 26214400 26915504 27464800 27596800 27964160 28835840 30585800 30760576 31539200 31959040 32112640 33644380 34955200 35154944 35323904 36044800 36700160 38450720 38962564 39149824 39948800 40140800 40370176 42055475 43943680 44154880 44742656 45875200 48063400 48703205 48937280 50462720 51134464 51380224 53831008 54929600 55193600 55928320 57671680 61171600 61521152 63078400 63918080 64225280 67288760 68184487 69910400 70309888 70647808 72089600 76901440 77925128 78299648 79897600 80281600 80740352 84110950 87887360 88309760 89485312 91750400 96126800 97406410 97874560 100925440 102268928 107147051 107662016 109859200 110387200 111856640 122343200 123042304 126156800 127836160 128450560 134577520 136368974 139820800 140619776 141295616 144179200 153802880 155850256 156599296 159795200 160563200 168221900 175774720 176619520 178970624 183500800 192253600 194812820 195749120 201850880 204537856 214294102 215324032 219718400 220774400 223713280 243516025 244686400 246084608 252313600 255672320 256901120 269155040 272737948 279641600 281239552 282591232 288358400 307605760 311700512 313198592 319590400 321126400 336443800 340922435 351549440 353239040 357941248 384507200 389625640 391498240 403701760 409075712 428588204 430648064 439436800 441548800 447426560 477291409 487032050 489372800 492169216 504627200 511344640 535735255 538310080 545475896 559283200 562479104 565182464 615211520 623401024 626397184 639180800 642252800 672887600 681844870 703098880 706478080 715882496 750029357 769014400 779251280 782996480 818151424 857176408 861296128 878873600 883097600 894853120 954582818 974064100 978745600 984338432 1009254400 1022689280 1071470510 1076620160 1090951792 1118566400 1124958208 1230423040 1246802048 1252794368 1278361600 1284505600 1345775200 1363689740 1406197760 1412956160 1431764992 1500058714 1538028800 1558502560 1565992960 1636302848 1704612175 1714352816 1722592256 1757747200 1766195200 1789706240 1909165636 1948128200 1957491200 1968676864 2018508800 2045378560 2142941020 2153240320 2181903584 2237132800 2249916416 2386457045 2460846080 2493604096 2505588736 2556723200 2678676275 2691550400 2727379480 2812395520 2825912320 2863529984 3000117428 3076057600 3117005120 3131985920 3272605696 3409224350 3428705632 3445184512 3515494400 3532390400 3579412480 3750146785 3818331272 3896256400 3914982400 3937353728 4090757120 4285882040 4306480640 4363807168 4474265600 4499832832 4772914090 4921692160 4987208192 5011177472 5113446400 5250205499 5357352550 5383100800 5454758960 5624791040 5727059968 6000234856 6152115200 6234010240 6263971840 6818448700 6857411264 6890369024 7030988800 7064780800 7158824960 7500293570 7636662544 7792512800 7829964800 7874707456 8181514240 8571764080 8612961280 8727614336 8948531200 8999665664 9545828180 9843384320 9974416384 10022354944 10226892800 10500410998 10714705100 10766201600 10909517920 11249582080 11454119936 11932285225 12000469712 12304230400 12468020480 12527943680 13636897400 13714822528 13780738048 14061977600 14129561600 14317649920 15000587140 15273325088 15585025600 15659929600 15749414912 16363028480 17143528160 17225922560 17455228672 17897062400 17999331328 18750733925 19091656360 19686768640 19948832768 20044709888 20453785600 21000821996 21429410200 21532403200 21819035840 22499164160 22908239872 23864570450 24000939424 24608460800 24936040960 25055887360 26251027495 27273794800 27429645056 27561476096 28123955200 28635299840 30001174280 30546650176 31170051200 31319859200 31498829824 34287056320 34451845120 34910457344 35794124800 35998662656 37501467850 38183312720 39373537280 39897665536 40089419776 40907571200 42001643992 42858820400 43064806400 43638071680 44998328320 47729140900 48001878848 49216921600 49872081920 50111774720 52502054990 54547589600 54859290112 55122952192 56247910400 57270599680 60002348560 61093300352 62340102400 62639718400 62997659648 68574112640 68903690240 69820914688 71588249600 75002935700 76366625440 78747074560 79795331072 80178839552 81815142400 84003287984 85717640800 86129612800 87276143360 89996656640 95458281800 96003757696 98433843200 99744163840 100223549440 105004109980 109095179200 109718580224 110245904384 112495820800 114541199360 120004697120 122186600704 124680204800 125279436800 125995319296 131255137475 137148225280 137807380480 139641829376 143176499200 150005871400 152733250880 157494149120 159590662144 160357679104 168006575968 171435281600 172259225600 174552286720 179993313280 190916563600 192007515392 196867686400 199488327680 200447098880 210008219960 218190358400 219437160448 220491808768 224991641600 240009394240 244373201408 249360409600 250558873600 251990638592 262510274950 274296450560 275614760960 279283658752 286352998400 300011742800 305466501760 314988298240 319181324288 336013151936 342870563200 344518451200 349104573440 381833127200 384015030784 393735372800 398976655360 400894197760 420016439920 436380716800 438874320896 440983617536 449983283200 480018788480 488746402816 498720819200 501117747200 525020549900 548592901120 551229521920 558567317504 572705996800 600023485600 610933003520 629976596480 638362648576 672026303872 685741126400 689036902400 698209146880 763666254400 768030061568 787470745600 797953310720 801788395520 840032879840 872761433600 877748641792 881967235072 899966566400 960037576960 977492805632 997441638400 1002235494400 1050041099800 1097185802240 1102459043840 1117134635008 1200046971200 1221866007040 1259953192960 1276725297152 1344052607744 1371482252800 1378073804800 1396418293760 1527332508800 1536060123136 1574941491200 1595906621440 1680065759680 1745522867200 1755497283584 1763934470144 1920075153920 1954985611264 1994883276800 2004470988800 2100082199600 2194371604480 2204918087680 2234269270016 2400093942400 2443732014080 2553450594304 2688105215488 2742964505600 2756147609600 2792836587520 3054665017600 3072120246272 3149882982400 3191813242880 3360131519360 3491045734400 3510994567168 3840150307840 3909971222528 3989766553600 4008941977600 4200164399200 4388743208960 4409836175360 4468538540032 4800187884800 4887464028160 5106901188608 5376210430976 5485929011200 5512295219200 5585673175040 6109330035200 6144240492544 6299765964800 6383626485760 6720263038720 6982091468800 7021989134336 7680300615680 7819942445056 7979533107200 8400328798400 8777486417920 8819672350720 8937077080064 9600375769600 9774928056320 10213802377216 10752420861952 10971858022400 11024590438400 11171346350080 12218660070400 12288480985088 12767252971520 13440526077440 13964182937600 14043978268672 15360601231360 15639884890112 15959066214400 16800657596800 17554972835840 17874154160128 19200751539200 19549856112640 21504841723904 21943716044800 22049180876800 22342692700160 24437320140800 24576961970176 25534505943040 26881052154880 27928365875200 28087956537344 30721202462720 31279769780224 31918132428800 33601315193600 35109945671680 35748308320256 38401503078400 39099712225280 43009683447808 43887432089600 44098361753600 44685385400320 48874640281600 49153923940352 51069011886080 53762104309760 55856731750400 56175913074688 61442404925440 62559539560448 63836264857600 67202630387200 70219891343360 71496616640512 76803006156800 78199424450560 86019366895616 87774864179200 89370770800640 97749280563200 98307847880704 107524208619520 111713463500800 112351826149376 122884809850880 125119079120896 127672529715200 134405260774400 140439782686720 153606012313600 156398848901120 172038733791232 175549728358400 178741541601280 195498561126400 196615695761408 215048417239040 223426927001600 245769619701760 250238158241792 255345059430400 268810521548800 280879565373440 307212024627200 312797697802240 344077467582464 351099456716800 357483083202560 390997122252800 393231391522816 430096834478080 446853854003200 491539239403520 500476316483584 537621043097600 561759130746880 614424049254400 625595395604480 688154935164928 702198913433600 781994244505600 786462783045632 860193668956160 893707708006400 983078478807040 1075242086195200 1228848098508800 1251190791208960 1376309870329856 1404397826867200 1563988489011200 1720387337912320 1787415416012800 1966156957614080 2150484172390400 2457696197017600 2502381582417920 2752619740659712 2808795653734400 3127976978022400 3440774675824640 3932313915228160 4300968344780800 4915392394035200 5505239481319424 6255953956044800 6881549351649280 8601936689561600 9830784788070400 12511907912089600 13763098703298560 17203873379123200 19661569576140800 27526197406597120 34407746758246400 68815493516492800 137630987032985600
• Sum of all divisors σ(n): 433285553736592452
• Sum of proper divisors (its aliquot sum) s(n): 295654566703606852
• 137630987032985600 is an abundant number, because the sum of its proper divisors (295654566703606852) is greater than itself. Its abundance is 158023579670621252

Bases of 137630987032985600

• Binary: 111101000111101101010011101001100001100000000000000000000₂
• Hexadecimal: 0x1E8F6A74C300000
• Base-36: 11N642L4NQWW

Squares and roots of 137630987032985600

• 137630987032985600 squared (137630987032985600²) is 18942288591673850370662449807360000
• 137630987032985600 cubed (137630987032985600³) is 2607045875535734763174105769611439968685654016000000
• The square root of 137630987032985600 is 370986505.1898594329
• The cube root of 137630987032985600 is 516303.9030559281

Scales and comparisons

• 137,630,987,032,985,600 seconds is equal to 4,376,239,667 years, 2 weeks, 5 days, 16 hours, 53 minutes, 20 seconds.
• To count from 1 to 137,630,987,032,985,600 would take you about thirteen billion, one hundred twenty-eight million, seven hundred nineteen thousand and one 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 137630987032985600 cubic inches would be around 43025.3 feet tall.

Recreational maths with 137630987032985600

• 137630987032985600 backwards is 006589230789036731
• 137630987032985600 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 137630987032985600's digits is 77
• More coming soon!