138817177553521868800

Names of 138817177553521868800

• Cardinal: 138817177553521868800 can be written as One hundred thirty-eight quintillion, eight hundred seventeen quadrillion, one hundred seventy-seven trillion, five hundred fifty-three billion, five hundred twenty-one million, eight hundred sixty-eight thousand, eight hundred.

Scientific notation

• Scientific notation: 1.388171775535218688 × 10²⁰

Factors of 138817177553521868800

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 45
• Sum of prime factors: 127

Divisors of 138817177553521868800

• Number of divisors d(n): 960
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 113 128 140 160 175 200 224 226 256 280 320 350 400 448 452 512 560 565 640 700 791 800 896 904 1024 1120 1130 1280 1400 1582 1600 1792 1808 2048 2240 2260 2560 2800 2825 3164 3200 3584 3616 3955 4096 4480 4520 5120 5600 5650 6328 6400 7168 7232 7910 8192 8960 9040 10240 11200 11300 12656 12769 12800 14336 14464 15820 16384 17920 18080 19775 20480 22400 22600 25312 25538 25600 28672 28928 31640 32768 35840 36160 39550 40960 44800 45200 50624 51076 51200 57344 57856 63280 63845 65536 71680 72320 79100 81920 89383 89600 90400 101248 102152 102400 114688 115712 126560 127690 131072 143360 144640 158200 163840 178766 179200 180800 202496 204304 204800 229376 231424 253120 255380 262144 286720 289280 316400 319225 327680 357532 358400 361600 404992 408608 409600 446915 458752 462848 506240 510760 524288 573440 578560 632800 638450 655360 715064 716800 723200 809984 817216 819200 893830 917504 925696 1012480 1021520 1048576 1146880 1157120 1265600 1276900 1310720 1430128 1433600 1442897 1446400 1619968 1634432 1638400 1787660 1835008 1851392 2024960 2043040 2097152 2234575 2293760 2314240 2531200 2553800 2621440 2860256 2867200 2885794 2892800 3239936 3268864 3276800 3575320 3670016 3702784 4049920 4086080 4194304 4469150 4587520 4628480 5062400 5107600 5242880 5720512 5734400 5771588 5785600 6479872 6537728 6553600 7150640 7214485 7340032 7405568 8099840 8172160 8388608 8938300 9175040 9256960 10100279 10124800 10215200 10485760 11441024 11468800 11543176 11571200 12959744 13075456 13107200 14301280 14428970 14680064 14811136 16199680 16344320 16777216 17876600 18350080 18513920 20200558 20249600 20430400 20971520 22882048 22937600 23086352 23142400 25919488 26150912 26214400 28602560 28857940 29360128 29622272 32399360 32688640 33554432 35753200 36072425 36700160 37027840 40401116 40499200 40860800 41943040 45764096 45875200 46172704 46284800 50501395 51838976 52301824 52428800 57205120 57715880 58720256 59244544 64798720 65377280 67108864 71506400 72144850 73400320 74055680 80802232 80998400 81721600 83886080 91528192 91750400 92345408 92569600 101002790 103677952 104603648 104857600 114410240 115431760 117440512 118489088 129597440 130754560 134217728 143012800 144289700 146800640 148111360 161604464 161996800 163443200 167772160 183056384 183500800 184690816 185139200 202005580 207355904 209207296 209715200 228820480 230863520 234881024 236978176 252506975 259194880 261509120 268435456 286025600 288579400 293601280 296222720 323208928 323993600 326886400 335544320 366112768 367001600 369381632 370278400 404011160 414711808 418414592 419430400 457640960 461727040 469762048 473956352 505013950 518389760 523018240 536870912 572051200 577158800 587202560 592445440 646417856 647987200 653772800 671088640 732225536 734003200 738763264 740556800 808022320 829423616 836829184 838860800 915281920 923454080 939524096 947912704 1010027900 1036779520 1046036480 1073741824 1144102400 1154317600 1174405120 1184890880 1292835712 1295974400 1307545600 1342177280 1464451072 1468006400 1477526528 1481113600 1616044640 1658847232 1673658368 1677721600 1830563840 1846908160 1879048192 1895825408 2020055800 2073559040 2092072960 2147483648 2288204800 2308635200 2348810240 2369781760 2585671424 2591948800 2615091200 2684354560 2928902144 2936012800 2955053056 2962227200 3232089280 3317694464 3347316736 3355443200 3661127680 3693816320 3758096384 3791650816 4040111600 4147118080 4184145920 4294967296 4576409600 4617270400 4697620480 4739563520 5171342848 5183897600 5230182400 5368709120 5857804288 5872025600 5910106112 5924454400 6464178560 6635388928 6694633472 6710886400 7322255360 7387632640 7516192768 7583301632 8080223200 8294236160 8368291840 8589934592 9152819200 9234540800 9395240960 9479127040 10342685696 10367795200 10460364800 10737418240 11715608576 11744051200 11820212224 11848908800 12928357120 13270777856 13389266944 13421772800 14644510720 14775265280 15032385536 15166603264 16160446400 16588472320 16736583680 17179869184 18305638400 18469081600 18790481920 18958254080 20685371392 20735590400 20920729600 21474836480 23431217152 23488102400 23640424448 23697817600 25856714240 26541555712 26778533888 26843545600 29289021440 29550530560 30064771072 30333206528 32320892800 33176944640 33473167360 34359738368 36611276800 36938163200 37580963840 37916508160 41370742784 41471180800 41841459200 42949672960 46862434304 46976204800 47280848896 47395635200 51713428480 53083111424 53557067776 53687091200 58578042880 59101061120 60129542144 60666413056 64641785600 66353889280 66946334720 68719476736 73222553600 73876326400 75161927680 75833016320 82741485568 82942361600 83682918400 85899345920 93724868608 93952409600 94561697792 94791270400 103426856960 106166222848 107114135552 107374182400 117156085760 118202122240 120259084288 121332826112 129283571200 132707778560 133892669440 137438953472 146445107200 147752652800 150323855360 151666032640 165482971136 165884723200 167365836800 171798691840 187449737216 187904819200 189123395584 189582540800 206853713920 212332445696 214228271104 214748364800 234312171520 236404244480 240518168576 242665652224 258567142400 265415557120 267785338880 274877906944 292890214400 295505305600 300647710720 303332065280 330965942272 331769446400 334731673600 343597383680 374899474432 375809638400 378246791168 379165081600 413707427840 424664891392 428456542208 429496729600 468624343040 472808488960 481036337152 485331304448 517134284800 530831114240 535570677760 549755813888 585780428800 591010611200 601295421440 606664130560 661931884544 663538892800 669463347200 687194767360 749798948864 751619276800 756493582336 758330163200 827414855680 849329782784 856913084416 858993459200 937248686080 945616977920 962072674304 970662608896 1034268569600 1061662228480 1071141355520 1171560857600 1182021222400 1202590842880 1213328261120 1323863769088 1327077785600 1338926694400 1374389534720 1499597897728 1503238553600 1512987164672 1516660326400 1654829711360 1698659565568 1713826168832 1717986918400 1874497372160 1891233955840 1924145348608 1941325217792 2068537139200 2123324456960 2142282711040 2343121715200 2364042444800 2405181685760 2426656522240 2647727538176 2654155571200 2677853388800 2748779069440 2999195795456 3006477107200 3025974329344 3033320652800 3309659422720 3397319131136 3427652337664 3435973836800 3748994744320 3782467911680 3848290697216 3882650435584 4137074278400 4246648913920 4284565422080 4686243430400 4728084889600 4810363371520 4853313044480 5295455076352 5308311142400 5355706777600 5998391590912 6012954214400 6051948658688 6066641305600 6619318845440 6794638262272 6855304675328 6871947673600 7497989488640 7564935823360 7765300871168 8274148556800 8493297827840 8569130844160 9372486860800 9456169779200 9620726743040 9706626088960 10590910152704 10616622284800 10711413555200 11996783181824 12025908428800 12103897317376 12133282611200 13238637690880 13589276524544 13710609350656 13743895347200 14995978977280 15129871646720 15530601742336 16548297113600 16986595655680 17138261688320 18744973721600 18912339558400 19241453486080 19413252177920 21181820305408 21233244569600 21422827110400 23993566363648 24051816857600 24207794634752 24266565222400 26477275381760 27178553049088 27421218701312 29991957954560 30259743293440 31061203484672 33096594227200 33973191311360 34276523376640 37489947443200 37824679116800 38826504355840 42363640610816 42466489139200 42845654220800 47987132727296 48103633715200 48415589269504 48533130444800 52954550763520 54357106098176 54842437402624 59983915909120 60519486586880 62122406969344 66193188454400 67946382622720 68553046753280 74979894886400 75649358233600 77653008711680 84727281221632 84932978278400 85691308441600 95974265454592 96207267430400 96831178539008 97066260889600 105909101527040 108714212196352 109684874805248 119967831818240 121038973173760 132386376908800 135892765245440 137106093506560 149959789772800 151298716467200 155306017423360 169454562443264 169865956556800 171382616883200 191948530909184 193662357078016 194132521779200 211818203054080 217428424392704 219369749610496 239935663636480 242077946347520 264772753817600 271785530490880 274212187013120 299919579545600 302597432934400 310612034846720 338909124886528 339731913113600 342765233766400 383897061818368 387324714156032 388265043558400 423636406108160 434856848785408 438739499220992 479871327272960 484155892695040 529545507635200 543571060981760 548424374026240 599839159091200 605194865868800 677818249773056 679463826227200 685530467532800 767794123636736 774649428312064 776530087116800 847272812216320 877478998441984 959742654545920 968311785390080 1059091015270400 1087142121963520 1096848748052480 1199678318182400 1210389731737600 1355636499546112 1358927652454400 1371060935065600 1535588247273472 1549298856624128 1553060174233600 1694545624432640 1754957996883968 1919485309091840 1936623570780160 2118182030540800 2174284243927040 2193697496104960 2399356636364800 2420779463475200 2711272999092224 2717855304908800 2742121870131200 3071176494546944 3098597713248256 3389091248865280 3509915993767936 3838970618183680 3873247141560320 4236364061081600 4387394992209920 4798713272729600 4841558926950400 5422545998184448 5435710609817600 5484243740262400 6142352989093888 6197195426496512 6778182497730560 7019831987535872 7677941236367360 7746494283120640 8472728122163200 8774789984419840 9597426545459200 9683117853900800 10845091996368896 10871421219635200 10968487480524800 12284705978187776 12394390852993024 13556364995461120 15355882472734720 15492988566241280 16945456244326400 17549579968839680 19194853090918400 19366235707801600 21690183992737792 21936974961049600 24569411956375552 24788781705986048 27112729990922240 30711764945469440 30985977132482560 33890912488652800 35099159937679360 38389706181836800 38732471415603200 43380367985475584 43873949922099200 49138823912751104 49577563411972096 54225459981844480 61423529890938880 61971954264965120 67781824977305600 76779412363673600 77464942831206400 86760735970951168 87747899844198400 99155126823944192 108450919963688960 122847059781877760 123943908529930240 135563649954611200 153558824727347200 154929885662412800 173521471941902336 175495799688396800 198310253647888384 216901839927377920 245694119563755520 247887817059860480 271127299909222400 307117649454694400 309859771324825600 347042943883804672 396620507295776768 433803679854755840 495775634119720960 542254599818444800 614235298909388800 619719542649651200 694085887767609344 793241014591553536 867607359709511680 991551268239441920 1084509199636889600 1228470597818777600 1239439085299302400 1388171775535218688 1735214719419023360 1983102536478883840 2169018399273779200 2478878170598604800 2776343551070437376 3470429438838046720 3966205072957767680 4338036798547558400 4957756341197209600 5552687102140874752 6940858877676093440 8676073597095116800 9915512682394419200 13881717755352186880 17352147194190233600 19831025364788838400 27763435510704373760 34704294388380467200 69408588776760934400 138817177553521868800
• Sum of all divisors σ(n): 396960465295607796000
• Sum of proper divisors (its aliquot sum) s(n): 258143287742085927200
• 138817177553521868800 is an abundant number, because the sum of its proper divisors (258143287742085927200) is greater than itself. Its abundance is 119326110188564058400

Bases of 138817177553521868800

• Binary: 1111000011001111001101011111000000000000000000000000000000000000000₂
• Hexadecimal: 0x78679AF8000000000
• Base-36: TAO1IJX8NAO74

Squares and roots of 138817177553521868800

• 138817177553521868800 squared (138817177553521868800²) is 19270208783926015775547214439844413440000
• 138817177553521868800 cubed (138817177553521868800³) is 2675035994251694465063833591772013272338683788548636672000000
• The square root of 138817177553521868800 is 11782070172.6615882857
• The cube root of 138817177553521868800 is 5177829.3946449033

Scales and comparisons

• 138,817,177,553,521,868,800 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 138,817,177,553,521,868,800 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 138817177553521868800 cubic inches would be around 431485.8 feet tall.

Recreational maths with 138817177553521868800

• 138817177553521868800 backwards is 008868125355771718831
• The number of decimal digits it has is: 21
• The sum of 138817177553521868800's digits is 94
• More coming soon!