34242886806400

Names of 34242886806400

• Cardinal: 34242886806400 can be written as Thirty-four trillion, two hundred forty-two billion, eight hundred eighty-six million, eight hundred six thousand, four hundred.

Scientific notation

• Scientific notation: 3.42428868064 × 10¹³

Factors of 34242886806400

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 104

Divisors of 34242886806400

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 4 5 8 10 16 17 20 25 32 34 37 40 43 50 64 68 74 80 85 86 100 128 136 148 160 170 172 185 200 215 272 289 296 320 340 344 370 400 425 430 544 578 592 629 640 680 688 731 740 800 850 860 925 1075 1088 1156 1184 1258 1360 1369 1376 1445 1462 1480 1591 1600 1700 1720 1850 2150 2176 2312 2368 2516 2720 2738 2752 2890 2924 2960 3145 3182 3200 3400 3440 3655 3700 4300 4624 4736 4913 5032 5440 5476 5504 5780 5848 5920 6290 6364 6800 6845 6880 7225 7310 7400 7955 8600 9248 9826 10064 10693 10880 10952 11560 11696 11840 12427 12580 12728 13600 13690 13760 14450 14620 14800 15725 15910 17200 18275 18496 19652 20128 21386 21904 23120 23273 23392 23680 24565 24854 25160 25456 27047 27200 27380 27520 28900 29240 29600 31450 31820 34225 34400 36550 36992 39304 39775 40256 42772 43808 46240 46546 46784 49130 49708 50320 50653 50912 53465 54094 54400 54760 57800 58480 58867 59200 62135 62900 63640 68450 68800 73100 78608 79550 80512 85544 87616 92480 93092 93568 98260 99416 100640 101306 101824 106930 108188 109520 115600 116365 116960 117734 118400 122825 124270 125800 127280 135235 136900 137600 146200 157216 159100 171088 175232 181781 184960 186184 196520 198832 201280 202612 203648 211259 213860 216376 219040 231200 232730 233920 235468 245650 248540 251600 253265 254560 267325 270470 273800 292400 294335 310675 314432 318200 342176 363562 372368 393040 395641 397664 402560 405224 422518 427720 432752 438080 459799 462400 465460 467840 470936 491300 497080 503200 506530 509120 534650 540940 547600 581825 584800 588670 621350 628864 636400 676175 684352 727124 744736 786080 791282 795328 810448 845036 855440 861101 865504 876160 908905 919598 924800 930920 941872 982600 994160 1000739 1006400 1013060 1018240 1056295 1069300 1081880 1095200 1163650 1169600 1177340 1242700 1266325 1272800 1352350 1368704 1454248 1471675 1489472 1572160 1582564 1590656 1620896 1690072 1710880 1722202 1731008 1817810 1839196 1861840 1883744 1965200 1978205 1988320 2001478 2012800 2026120 2112590 2138600 2163760 2178079 2190400 2298995 2327300 2339200 2354680 2485400 2532650 2545600 2704700 2908496 2943350 2978944 3144320 3165128 3241792 3380144 3421760 3444404 3462016 3635620 3678392 3723680 3767488 3930400 3956410 3976640 4002956 4052240 4225180 4277200 4305505 4327520 4356158 4380800 4544525 4597990 4654600 4709360 4970800 5003695 5065300 5091200 5281475 5409400 5816992 5886700 6330256 6483584 6725897 6760288 6843520 6888808 7271240 7356784 7447360 7534976 7816583 7860800 7912820 7953280 8005912 8104480 8450360 8554400 8611010 8655040 8712316 9089050 9195980 9309200 9418720 9891025 9941600 10007390 10130600 10562950 10818800 10890395 11494975 11633984 11773400 12660512 13451794 13520576 13777616 14542480 14638717 14713568 14894720 15633166 15721600 15825640 16011824 16208960 16900720 17012563 17108800 17222020 17310080 17424632 18178100 18391960 18618400 18837440 19782050 19883200 20014780 20261200 21125900 21527525 21637600 21780790 22989950 23267968 23546800 25018475 25321024 26903588 27041152 27555232 29084960 29277434 29427136 31266332 31651280 32023648 32417920 33629485 33801440 34025126 34217600 34444040 34849264 36356200 36783920 37027343 37236800 37674880 39082915 39564100 39766400 40029560 40522400 42251800 43055050 43275200 43561580 45979900 47093600 50036950 50642048 53807176 54451975 55110464 58169920 58554868 58854272 62532664 63302560 64047296 67258970 67602880 68050252 68888080 69698528 72712400 73193585 73567840 74054686 74473600 78165830 79128200 80059120 81044800 84503600 85062815 86110100 86550400 87123160 91959800 94187200 100073900 107614352 108903950 110220928 116339840 117109736 125065328 126605120 128094592 134517940 135205760 136100504 137776160 139397056 145424800 146387170 147135680 148109372 156331660 158256400 160118240 162089600 168147425 169007200 170125630 172220200 174246320 183919600 185136715 188374400 195414575 200147800 215228704 217807900 234219472 248858189 250130656 253210240 269035880 272201008 275552320 278794112 289213571 290849600 292774340 294271360 296218744 312663320 316512800 320236480 336294850 338014400 340251260 344440400 348492640 365967925 367839200 370273430 390829150 400295600 425314075 430457408 435615800 468438944 497716378 500261312 538071760 544402016 551104640 578427142 581699200 585548680 592437488 625326640 629464831 633025600 640472960 672589700 676028800 680502520 688880800 696985280 731935850 735678400 740546860 781658300 800591200 850628150 860914816 871231600 925683575 936877888 995432756 1000522624 1076143520 1088804032 1156854284 1171097360 1184874976 1244290945 1250653280 1258929662 1266051200 1345179400 1361005040 1377761600 1393970560 1446067855 1463871700 1471356800 1481093720 1563316600 1601182400 1701256300 1742463200 1851367150 1873755776 1990865512 2152287040 2177608064 2313708568 2342194720 2369749952 2488581890 2501306560 2517859324 2690358800 2722010080 2755523200 2892135710 2927743400 2962187440 3126633200 3147324155 3202364800 3402512600 3484926400 3702734300 3981731024 4304574080 4627417136 4684389440 4739499904 4977163780 5002613120 5035718648 5380717600 5444020160 5784271420 5855486800 5924374880 6221454725 6253266400 6294648310 6805025200 6969852800 7230339275 7405468600 7963462048 9254834272 9368778880 9954327560 10071437296 10700902127 10761435200 10888040320 11568542840 11710973600 11848749760 12442909450 12506532800 12589296620 13610050400 14460678550 14810937200 15736620775 15926924096 18509668544 19908655120 20142874592 21401804254 21522870400 23137085680 23421947200 23697499520 24885818900 25013065600 25178593240 27220100800 28921357100 29621874400 31473241550 31853848192 37019337088 39817310240 40285749184 42803608508 46274171360 46843894400 49771637800 50357186480 53504510635 54440201600 57842714200 59243748800 62946483100 79634620480 80571498368 85607217016 92548342720 99543275600 100714372960 107009021270 115685428400 118487497600 125892966200 159269240960 171214434032 185096685440 199086551200 201428745920 214018042540 231370856800 251785932400 267522553175 342428868064 398173102400 402857491840 428036085080 462741713600 503571864800 535045106350 684857736128 796346204800 856072170160 925483427200 1007143729600 1070090212700 1369715472256 1712144340320 2014287459200 2140180425400 3424288680640 4280360850800 6848577361280 8560721701600 17121443403200 34242886806400
• Sum of all divisors σ(n): 94521198024000
• Sum of proper divisors (its aliquot sum) s(n): 60278311217600
• 34242886806400 is an abundant number, because the sum of its proper divisors (60278311217600) is greater than itself. Its abundance is 26035424411200

Bases of 34242886806400

• Binary: 111110010010011001011000110101010101110000000₂
• Hexadecimal: 0x1F24CB1AAB80
• Base-36: C4YYQOGHS

Squares and roots of 34242886806400

• 34242886806400 squared (34242886806400²) is 1172575296835923191080960000
• 34242886806400 cubed (34242886806400³) is 40152363161533397905429991338246144000000
• The square root of 34242886806400 is 5851742.2026606741
• The cube root of 34242886806400 is 32473.0780777587

Scales and comparisons

• 34,242,886,806,400 seconds is equal to 1,088,817 years, 45 weeks, 5 days, 9 hours, 46 minutes, 40 seconds.
• To count from 1 to 34,242,886,806,400 would take you about two million, seven hundred twenty-two thousand and forty-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 34242886806400 cubic inches would be around 2706.1 feet tall.

Recreational maths with 34242886806400

• 34242886806400 backwards is 00460868824243
• The number of decimal digits it has is: 14
• The sum of 34242886806400's digits is 55
• More coming soon!