146459926736076800

Names of 146459926736076800

• Cardinal: 146459926736076800 can be written as One hundred forty-six quadrillion, four hundred fifty-nine trillion, nine hundred twenty-six billion, seven hundred thirty-six million, seventy-six thousand, eight hundred.

Scientific notation

• Scientific notation: 1.464599267360768 × 10¹⁷

Factors of 146459926736076800

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 23
• Sum of prime factors: 1076

Divisors of 146459926736076800

• Number of divisors d(n): 816
• Complete list of divisors:
  1 2 4 5 7 8 10 11 14 16 20 22 25 28 32 35 40 44 50 55 56 64 70 77 80 88 100 110 112 128 140 154 160 175 176 200 220 224 256 275 280 308 320 350 352 385 400 440 448 512 550 560 616 640 700 704 770 800 880 896 1024 1051 1100 1120 1232 1280 1400 1408 1540 1600 1760 1792 1925 2048 2102 2200 2240 2464 2560 2800 2816 3080 3200 3520 3584 3850 4096 4204 4400 4480 4928 5120 5255 5600 5632 6160 6400 7040 7168 7357 7700 8192 8408 8800 8960 9856 10240 10510 11200 11264 11561 12320 12800 14080 14336 14714 15400 16384 16816 17600 17920 19712 20480 21020 22400 22528 23122 24640 25600 26275 28160 28672 29428 30800 32768 33632 35200 35840 36785 39424 40960 42040 44800 45056 46244 49280 51200 52550 56320 57344 57805 58856 61600 65536 67264 70400 71680 73570 78848 80927 81920 84080 89600 90112 92488 98560 102400 105100 112640 114688 115610 117712 123200 134528 140800 143360 147140 157696 161854 163840 168160 179200 180224 183925 184976 197120 204800 210200 225280 229376 231220 235424 246400 269056 281600 286720 289025 294280 315392 323708 327680 336320 358400 360448 367850 369952 394240 404635 409600 420400 450560 458752 462440 470848 492800 538112 563200 573440 578050 588560 630784 647416 672640 716800 720896 735700 739904 788480 809270 819200 840800 901120 924880 941696 985600 1076224 1104601 1126400 1146880 1156100 1177120 1261568 1294832 1345280 1433600 1471400 1479808 1576960 1618540 1638400 1681600 1802240 1849760 1883392 1971200 2023175 2152448 2209202 2252800 2293760 2312200 2354240 2523136 2589664 2690560 2867200 2942800 2959616 3153920 3237080 3363200 3604480 3699520 3766784 3942400 4046350 4304896 4418404 4505600 4624400 4708480 5046272 5179328 5381120 5523005 5734400 5885600 5919232 6307840 6474160 6726400 7399040 7533568 7732207 7884800 8092700 8609792 8836808 9011200 9248800 9416960 10358656 10762240 11046010 11468800 11771200 11838464 12150611 12615680 12948320 13452800 14798080 15067136 15464414 15769600 16185400 17219584 17673616 18022400 18497600 18833920 20717312 21524480 22092020 23542400 23676928 24301222 25231360 25896640 26905600 27615025 29596160 30134272 30928828 31539200 32370800 34439168 35347232 36995200 37667840 38661035 41434624 43048960 44184040 47084800 47353856 48602444 51793280 53811200 55230050 59192320 60268544 60753055 61857656 63078400 64741600 68878336 70694464 73990400 75335680 77322070 82869248 85054277 86097920 88368080 94169600 94707712 97204888 103586560 107622400 110460100 118384640 120537088 121506110 123715312 126156800 129483200 141388928 147980800 150671360 154644140 165738496 170108554 172195840 176736160 188339200 189415424 193305175 194409776 207173120 215244800 220920200 236769280 241074176 243012220 247430624 258966400 282777856 295961600 301342720 303765275 309288280 331476992 340217108 344391680 353472320 376678400 378830848 386610350 388819552 414346240 425271385 430489600 441840400 473538560 482148352 486024440 494861248 517932800 565555712 591923200 602685440 607530550 618576560 662953984 680434216 706944640 753356800 757661696 773220700 777639104 828692480 850542770 860979200 883680800 947077120 972048880 989722496 1035865600 1131111424 1160935651 1183846400 1205370880 1215061100 1237153120 1325907968 1360868432 1413889280 1506713600 1546441400 1555278208 1657384960 1701085540 1721958400 1767361600 1894154240 1944097760 1979444992 2071731200 2126356925 2262222848 2321871302 2367692800 2410741760 2430122200 2474306240 2651815936 2721736864 2827778560 3013427200 3092882800 3110556416 3314769920 3402171080 3534723200 3788308480 3888195520 3958889984 4143462400 4252713850 4524445696 4643742604 4735385600 4860244400 4948612480 5303631872 5443473728 5655557120 5804678255 6026854400 6185765600 6221112832 6629539840 6804342160 7069446400 7776391040 7917779968 8126549557 8286924800 8505427700 9048891392 9287485208 9470771200 9720488800 9897224960 10886947456 11311114240 11609356510 12053708800 12371531200 12442225664 12770292161 13259079680 13608684320 14138892800 15552782080 15835559936 16253099114 16573849600 17010855400 18097782784 18574970416 18941542400 19440977600 19794449920 21773894912 22622228480 23218713020 24743062400 24884451328 25540584322 26518159360 27217368640 28277785600 29023391275 31105564160 31671119872 32506198228 33147699200 34021710800 36195565568 37149940832 38881955200 39588899840 40632747785 43547789824 45244456960 46437426040 49486124800 49768902656 51081168644 54434737280 56555571200 58046782550 62211128320 63342239744 63851460805 65012396456 66295398400 68043421600 72391131136 74299881664 77763910400 79177799680 81265495570 87095579648 89392045127 90488913920 92874852080 98972249600 99537805312 102162337288 108869474560 113111142400 116093565100 124422256640 126684479488 127702921610 130024792912 132590796800 136086843200 148599763328 155527820800 158355599360 162530991140 174191159296 178784090254 180977827840 185749704160 197944499200 199075610624 203163738925 204324674576 217738949120 226222284800 232187130200 248844513280 253368958976 255405843220 260049585824 272173686400 297199526656 311055641600 316711198720 319257304025 325061982280 348382318592 357568180508 361955655680 371499408320 395888998400 398151221248 406327477850 408649349152 435477898240 446960225635 452444569600 464374260400 497689026560 506737917952 510811686440 520099171648 544347372800 594399053312 622111283200 633422397440 638514608050 650123964560 696764637184 715136361016 742998816640 791777996800 796302442496 812654955700 817298698304 870955796480 893920451270 904889139200 928748520800 995378053120 1021623372880 1040198343296 1088694745600 1188798106624 1244222566400 1266844794880 1277029216100 1300247929120 1393529274368 1430272722032 1485997633280 1583555993600 1625309911400 1634597396608 1741911592960 1787840902540 1809778278400 1857497041600 1990756106240 2043246745760 2080396686592 2177389491200 2234801128175 2377596213248 2488445132800 2533689589760 2554058432200 2600495858240 2787058548736 2860545444064 2971995266560 3167111987200 3250619822800 3269194793216 3483823185920 3575681805080 3714994083200 3981512212480 4086493491520 4160793373184 4354778982400 4469602256350 4755192426496 4976890265600 5108116864400 5200991716480 5574117097472 5721090888128 5943990533120 6334223974400 6501239645600 6538389586432 6967646371840 7151363610160 7429988166400 8172986983040 8321586746368 8709557964800 8939204512700 9510384852992 9953780531200 10216233728800 10401983432960 11442181776256 11887981066240 12668447948800 13002479291200 13076779172864 13935292743680 14302727220320 14859976332800 16345973966080 16643173492736 17419115929600 17878409025400 19020769705984 19907561062400 20432467457600 20803966865920 22884363552512 23775962132480 26004958582400 26153558345728 27870585487360 28605454440640 29719952665600 32691947932160 33286346985472 34838231859200 35756818050800 38041539411968 40864934915200 41607933731840 45768727105024 47551924264960 52009917164800 52307116691456 57210908881280 59439905331200 65383895864320 66572693970944 69676463718400 71513636101600 76083078823936 81729869830400 83215867463680 91537454210048 95103848529920 104019834329600 104614233382912 114421817762560 118879810662400 130767791728640 133145387941888 139352927436800 143027272203200 163459739660800 166431734927360 183074908420096 190207697059840 208039668659200 209228466765824 228843635525120 237759621324800 261535583457280 266290775883776 286054544406400 326919479321600 332863469854720 366149816840192 380415394119680 416079337318400 418456933531648 457687271050240 475519242649600 523071166914560 532581551767552 572109088812800 653838958643200 665726939709440 732299633680384 832158674636800 836913867063296 915374542100480 951038485299200 1046142333829120 1144218177625600 1307677917286400 1331453879418880 1464599267360768 1664317349273600 1830749084200960 1902076970598400 2092284667658240 2288436355251200 2615355834572800 2662907758837760 2929198534721536 3328634698547200 3661498168401920 4184569335316480 4576872710502400 5230711669145600 5858397069443072 6657269397094400 7322996336803840 9153745421004800 10461423338291200 13314538794188800 14645992673607680 18307490842009600 20922846676582400 29291985347215360 36614981684019200 73229963368038400 146459926736076800
• Sum of all divisors σ(n): 453274309291593984
• Sum of proper divisors (its aliquot sum) s(n): 306814382555517184
• 146459926736076800 is an abundant number, because the sum of its proper divisors (306814382555517184) is greater than itself. Its abundance is 160354455819440384

Bases of 146459926736076800

• Binary: 1000001000010101001000011100000010111011110000000000000000₂
• Hexadecimal: 0x208548702EF0000
• Base-36: 1423PLHREUBK

Squares and roots of 146459926736076800

• 146459926736076800 squared (146459926736076800²) is 21450510139536983858442655498240000
• 146459926736076800 cubed (146459926736076800³) is 3141640143488059192048642359689846372886904832000000
• The square root of 146459926736076800 is 382700831.8988564729
• The cube root of 146459926736076800 is 527116.0872991821

Scales and comparisons

• 146,459,926,736,076,800 seconds is equal to 4,656,972,639 years, 47 weeks, 1 day, 19 hours, 33 minutes, 20 seconds.
• To count from 1 to 146,459,926,736,076,800 would take you about thirteen billion, nine hundred seventy million, nine hundred seventeen thousand, nine hundred nineteen 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 146459926736076800 cubic inches would be around 43926.3 feet tall.

Recreational maths with 146459926736076800

• 146459926736076800 backwards is 008670637629954641
• The number of decimal digits it has is: 18
• The sum of 146459926736076800's digits is 83
• More coming soon!