398132006145228800

Names of 398132006145228800

• Cardinal: 398132006145228800 can be written as Three hundred ninety-eight quadrillion, one hundred thirty-two trillion, six billion, one hundred forty-five million, two hundred twenty-eight thousand, eight hundred.

Scientific notation

• Scientific notation: 3.981320061452288 × 10¹⁷

Factors of 398132006145228800

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 37
• Sum of prime factors: 83

Divisors of 398132006145228800

• Number of divisors d(n): 930
• Complete list of divisors:
  1 2 4 5 8 10 16 20 23 25 32 40 46 50 53 64 80 92 100 106 115 128 160 184 200 212 230 256 265 320 368 400 424 460 512 529 530 575 640 736 800 848 920 1024 1058 1060 1150 1219 1280 1325 1472 1600 1696 1840 2048 2116 2120 2300 2438 2560 2645 2650 2944 3200 3392 3680 4096 4232 4240 4600 4876 5120 5290 5300 5888 6095 6400 6784 7360 8192 8464 8480 9200 9752 10240 10580 10600 11776 12167 12190 12800 13225 13568 14720 16384 16928 16960 18400 19504 20480 21160 21200 23552 24334 24380 25600 26450 27136 28037 29440 30475 32768 33856 33920 36800 39008 40960 42320 42400 47104 48668 48760 51200 52900 54272 56074 58880 60835 60950 65536 67712 67840 73600 78016 81920 84640 84800 94208 97336 97520 102400 105800 108544 112148 117760 121670 121900 131072 135424 135680 140185 147200 156032 163840 169280 169600 188416 194672 195040 204800 211600 217088 224296 235520 243340 243800 262144 270848 271360 279841 280370 294400 304175 312064 327680 338560 339200 376832 389344 390080 409600 423200 434176 448592 471040 486680 487600 524288 541696 542720 559682 560740 588800 608350 624128 644851 655360 677120 678400 700925 753664 778688 780160 819200 846400 868352 897184 942080 973360 975200 1048576 1083392 1085440 1119364 1121480 1177600 1216700 1248256 1289702 1310720 1354240 1356800 1399205 1401850 1507328 1557376 1560320 1638400 1692800 1736704 1794368 1884160 1946720 1950400 2097152 2166784 2170880 2238728 2242960 2355200 2433400 2496512 2579404 2621440 2708480 2713600 2798410 2803700 3014656 3114752 3120640 3224255 3276800 3385600 3473408 3588736 3768320 3893440 3900800 4194304 4333568 4341760 4477456 4485920 4710400 4866800 4993024 5158808 5242880 5416960 5427200 5596820 5607400 6029312 6229504 6241280 6448510 6553600 6771200 6946816 6996025 7177472 7536640 7786880 7801600 8388608 8667136 8683520 8954912 8971840 9420800 9733600 9986048 10317616 10485760 10833920 10854400 11193640 11214800 12058624 12459008 12482560 12897020 13107200 13542400 13893632 13992050 14354944 14831573 15073280 15573760 15603200 16121275 16777216 17334272 17367040 17909824 17943680 18841600 19467200 19972096 20635232 20971520 21667840 21708800 22387280 22429600 24117248 24918016 24965120 25794040 26214400 27084800 27787264 27984100 28709888 29663146 30146560 31147520 31206400 32242550 33554432 34668544 34734080 35819648 35887360 37683200 38934400 39944192 41270464 41943040 43335680 43417600 44774560 44859200 48234496 49836032 49930240 51588080 52428800 54169600 55574528 55968200 57419776 59326292 60293120 62295040 62412800 64485100 67108864 69337088 69468160 71639296 71774720 74157865 75366400 77868800 79888384 82540928 83886080 86671360 86835200 89549120 89718400 96468992 99672064 99860480 103176160 104857600 108339200 111149056 111936400 114839552 118652584 120586240 124590080 124825600 128970200 134217728 138674176 138936320 143278592 143549440 148315730 150732800 155737600 159776768 165081856 167772160 173342720 173670400 179098240 179436800 192937984 199344128 199720960 206352320 209715200 216678400 222298112 223872800 229679104 237305168 241172480 249180160 249651200 257940400 268435456 277348352 277872640 286557184 287098880 296631460 301465600 311475200 319553536 330163712 335544320 346685440 347340800 358196480 358873600 370789325 385875968 398688256 399441920 412704640 419430400 433356800 444596224 447745600 459358208 474610336 482344960 498360320 499302400 515880800 536870912 554696704 555745280 573114368 574197760 593262920 602931200 622950400 639107072 660327424 671088640 693370880 694681600 716392960 717747200 741578650 771751936 797376512 798883840 825409280 838860800 866713600 889192448 895491200 918716416 949220672 964689920 996720640 998604800 1031761600 1073741824 1109393408 1111490560 1146228736 1148395520 1186525840 1205862400 1245900800 1278214144 1320654848 1342177280 1386741760 1389363200 1432785920 1435494400 1483157300 1543503872 1594753024 1597767680 1650818560 1677721600 1733427200 1778384896 1790982400 1837432832 1898441344 1929379840 1993441280 1997209600 2063523200 2218786816 2222981120 2292457472 2296791040 2373051680 2411724800 2491801600 2556428288 2641309696 2684354560 2773483520 2778726400 2865571840 2870988800 2966314600 3087007744 3189506048 3195535360 3301637120 3355443200 3466854400 3556769792 3581964800 3674865664 3796882688 3858759680 3986882560 3994419200 4127046400 4437573632 4445962240 4584914944 4593582080 4746103360 4823449600 4983603200 5112856576 5282619392 5368709120 5546967040 5557452800 5731143680 5741977600 5932629200 6174015488 6379012096 6391070720 6603274240 6710886400 6933708800 7113539584 7163929600 7349731328 7593765376 7717519360 7973765120 7988838400 8254092800 8875147264 8891924480 9169829888 9187164160 9492206720 9646899200 9967206400 10225713152 10565238784 11093934080 11114905600 11462287360 11483955200 11865258400 12348030976 12758024192 12782141440 13206548480 13421772800 13867417600 14227079168 14327859200 14699462656 15187530752 15435038720 15947530240 15977676800 16508185600 17750294528 17783848960 18339659776 18374328320 18984413440 19293798400 19934412800 20451426304 21130477568 22187868160 22229811200 22924574720 22967910400 23730516800 24696061952 25516048384 25564282880 26413096960 26843545600 27734835200 28454158336 28655718400 29398925312 30375061504 30870077440 31895060480 31955353600 33016371200 35500589056 35567697920 36679319552 36748656640 37968826880 38587596800 39868825600 40902852608 42260955136 44375736320 44459622400 45849149440 45935820800 47461033600 51032096768 51128565760 52826193920 55469670400 56908316672 57311436800 58797850624 60750123008 61740154880 63790120960 63910707200 66032742400 71001178112 71135395840 73358639104 73497313280 75937653760 77175193600 79737651200 81805705216 84521910272 88751472640 88919244800 91698298880 91871641600 94922067200 102064193536 102257131520 105652387840 110939340800 114622873600 117595701248 121500246016 123480309760 127580241920 127821414400 132065484800 142002356224 142270791680 146717278208 146994626560 151875307520 154350387200 159475302400 163611410432 169043820544 177502945280 177838489600 183396597760 183743283200 189844134400 204128387072 204514263040 211304775680 221878681600 229245747200 235191402496 243000492032 255160483840 255642828800 264130969600 284004712448 284541583360 293434556416 293989253120 303750615040 308700774400 318950604800 327222820864 338087641088 355005890560 355676979200 366793195520 367486566400 379688268800 408256774144 409028526080 422609551360 443757363200 458491494400 470382804992 486000984064 510320967680 511285657600 528261939200 568009424896 586869112832 587978506240 607501230080 617401548800 637901209600 654445641728 676175282176 710011781120 711353958400 733586391040 734973132800 759376537600 816513548288 818057052160 845219102720 887514726400 916982988800 940765609984 972001968128 1020641935360 1022571315200 1056523878400 1173738225664 1175957012480 1215002460160 1275802419200 1308891283456 1352350564352 1420023562240 1422707916800 1467172782080 1469946265600 1518753075200 1633027096576 1636114104320 1690438205440 1775029452800 1833965977600 1881531219968 1944003936256 2041283870720 2045142630400 2113047756800 2347476451328 2351914024960 2430004920320 2551604838400 2704701128704 2840047124480 2934345564160 2939892531200 3037506150400 3266054193152 3272228208640 3380876410880 3550058905600 3667931955200 3763062439936 3888007872512 4082567741440 4090285260800 4226095513600 4694952902656 4703828049920 4860009840640 5103209676800 5409402257408 5868691128320 5879785062400 6075012300800 6532108386304 6544456417280 6761752821760 7100117811200 7335863910400 7526124879872 7776015745024 8165135482880 8180570521600 8452191027200 9389905805312 9407656099840 9720019681280 10206419353600 10818804514816 11737382256640 11759570124800 12150024601600 13064216772608 13523505643520 14200235622400 14671727820800 15052249759744 15552031490048 16330270965760 16361141043200 16904382054400 18779811610624 18815312199680 19440039362560 20412838707200 21637609029632 23474764513280 23519140249600 24300049203200 27047011287040 29343455641600 30104499519488 31104062980096 32660541931520 32722282086400 33808764108800 37559623221248 37630624399360 38880078725120 40825677414400 43275218059264 46949529026560 47038280499200 48600098406400 54094022574080 58686911283200 62208125960192 65321083863040 67617528217600 75119246442496 75261248798720 77760157450240 81651354828800 86550436118528 93899058053120 94076560998400 97200196812800 108188045148160 117373822566400 124416251920384 135235056435200 150238492884992 150522497597440 155520314900480 163302709657600 173100872237056 187798116106240 188153121996800 194400393625600 216376090296320 234747645132800 248832503840768 270470112870400 300476985769984 311040629800960 326605419315200 346201744474112 375596232212480 376306243993600 388800787251200 432752180592640 469495290265600 497665007681536 540940225740800 622081259601920 692403488948224 751192464424960 752612487987200 777601574502400 865504361185280 938990580531200 995330015363072 1081880451481600 1244162519203840 1502384928849920 1555203149004800 1731008722370560 1877981161062400 1990660030726144 2163760902963200 2488325038407680 3110406298009600 3462017444741120 3755962322124800 3981320061452288 4327521805926400 4976650076815360 6220812596019200 7511924644249600 7962640122904576 8655043611852800 9953300153630720 12441625192038400 15925280245809152 17310087223705600 19906600307261440 24883250384076800 39813200614522880 49766500768153600 79626401229045760 99533001536307200 199066003072614400 398132006145228800
• Sum of all divisors σ(n): 1051723918480444758
• Sum of proper divisors (its aliquot sum) s(n): 653591912335215958
• 398132006145228800 is an abundant number, because the sum of its proper divisors (653591912335215958) is greater than itself. Its abundance is 255459906189987158

Bases of 398132006145228800

• Binary: 10110000110011100101111001101000000000000000000000000000000₂
• Hexadecimal: 0x58672F340000000
• Base-36: 30W60MO33BI8

Squares and roots of 398132006145228800

• 398132006145228800 squared (398132006145228800²) is 158509094317224502967037004349440000
• 398132006145228800 cubed (398132006145228800³) is 63107543712779877275396728314372495873903951872000000
• The square root of 398132006145228800 is 630977025.0533919401
• The cube root of 398132006145228800 is 735657.5516225953

Scales and comparisons

• 398,132,006,145,228,800 seconds is equal to 12,659,366,292 years, 13 weeks, 5 days, 14 hours, 13 minutes, 20 seconds.
• To count from 1 to 398,132,006,145,228,800 would take you about thirty-seven billion, nine hundred seventy-eight million, ninety-eight thousand, eight hundred seventy-six 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 398132006145228800 cubic inches would be around 61304.8 feet tall.

Recreational maths with 398132006145228800

• 398132006145228800 backwards is 008822541600231893
• The number of decimal digits it has is: 18
• The sum of 398132006145228800's digits is 62
• More coming soon!