34349512457400320

Names of 34349512457400320

• Cardinal: 34349512457400320 can be written as Thirty-four quadrillion, three hundred forty-nine trillion, five hundred twelve billion, four hundred fifty-seven million, four hundred thousand, three hundred twenty.

Scientific notation

• Scientific notation: 3.434951245740032 × 10¹⁶

Factors of 34349512457400320

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 130

Divisors of 34349512457400320

• Number of divisors d(n): 936
• Complete list of divisors:
  1 2 4 5 8 10 16 19 20 32 37 38 40 64 67 74 76 80 95 128 134 148 152 160 185 190 256 268 296 304 320 335 361 370 380 512 536 592 608 640 670 703 722 740 760 1024 1072 1184 1216 1273 1280 1340 1369 1406 1444 1480 1520 1805 2048 2144 2368 2432 2479 2546 2560 2680 2738 2812 2888 2960 3040 3515 3610 4096 4288 4736 4864 4958 5092 5120 5360 5476 5624 5776 5920 6080 6365 6845 7030 7220 8576 9472 9728 9916 10184 10240 10720 10952 11248 11552 11840 12160 12395 12730 13357 13690 14060 14440 17152 18944 19456 19832 20368 20480 21440 21904 22496 23104 23680 24187 24320 24790 25460 26011 26714 27380 28120 28880 34304 37888 38912 39664 40736 42880 43808 44992 46208 47101 47360 48374 48640 49580 50653 50920 52022 53428 54760 56240 57760 66785 68608 75776 77824 79328 81472 85760 87616 89984 91723 92416 94202 94720 96748 97280 99160 101306 101840 104044 106856 109520 112480 115520 120935 130055 133570 137216 151552 158656 162944 171520 175232 179968 183446 184832 188404 189440 193496 194560 198320 202612 203680 208088 213712 219040 224960 231040 235505 241870 253265 260110 267140 274432 317312 325888 343040 350464 359936 366892 369664 376808 378880 386992 389120 396640 405224 407360 416176 427424 438080 449920 458615 462080 471010 483740 494209 506530 520220 534280 634624 651776 686080 700928 719872 733784 739328 753616 757760 773984 793280 810448 814720 832352 854848 876160 894919 899840 917230 924160 942020 962407 967480 988418 1013060 1040440 1068560 1269248 1303552 1372160 1401856 1439744 1467568 1478656 1507232 1547968 1586560 1620896 1629440 1664704 1709696 1742737 1752320 1789838 1799680 1834460 1848320 1874161 1884040 1924814 1934960 1976836 2026120 2080880 2137120 2471045 2538496 2607104 2803712 2879488 2935136 3014464 3095936 3173120 3241792 3258880 3329408 3393751 3419392 3485474 3504640 3579676 3599360 3668920 3696640 3748322 3768080 3849628 3869920 3953672 4052240 4161760 4274240 4474595 4812035 4942090 5076992 5214208 5607424 5870272 6028928 6191872 6346240 6483584 6517760 6658816 6787502 6838784 6970948 7009280 7159352 7198720 7337840 7393280 7496644 7536160 7699256 7739840 7907344 8104480 8323520 8548480 8713685 8949190 9370805 9624070 9884180 10153984 11740544 12057856 12383744 12692480 12967168 13035520 13317632 13575004 13677568 13941896 14018560 14318704 14397440 14675680 14993288 15072320 15398512 15479680 15814688 16208960 16647040 16968755 17096960 17427370 17898380 18285733 18741610 19248140 19768360 23481088 24115712 24767488 25384960 25934336 26071040 26635264 27150008 27355136 27883792 28037120 28637408 29351360 29986576 30144640 30797024 30959360 31629376 32417920 33112003 33294080 33937510 34193920 34854740 35609059 35796760 36571466 37483220 38496280 39536720 46962176 48231424 49534976 50769920 51868672 53270528 54300016 54710272 55767584 57274816 58702720 59973152 60289280 61594048 61918720 63258752 64481269 64835840 66224006 66588160 67875020 68387840 69343957 69709480 71218118 71593520 73142932 74966440 76992560 79073440 91428665 93924352 96462848 99069952 103737344 106541056 108600032 111535168 114549632 117405440 119946304 120578560 123188096 123837440 125568787 126517504 128962538 129671680 132448012 133176320 135750040 136775680 138687914 139418960 142436236 143187040 146285864 149932880 153985120 158146880 165560015 178045295 182857330 187848704 192925696 207474688 217200064 223070336 229099264 234810880 239892608 241157120 246376192 247674880 251137574 253035008 257925076 259343360 264896024 266352640 271500080 273551360 277375828 278837920 284872472 286374080 292571728 299865760 307970240 316293760 322406345 331120030 346719785 356090590 365714660 375697408 434400128 446140672 458198528 469621760 479785216 482314240 492752384 495349760 502275148 506070016 515850152 518686720 529792048 532705280 543000160 554751656 557675840 569744944 572748160 585143456 599731520 615940480 627843935 632587520 644812690 662240060 676572121 693439570 712181180 731429320 868800256 892281344 916397056 939243520 959570432 964628480 985504768 1004550296 1012140032 1031700304 1037373440 1059584096 1086000320 1109503312 1115351680 1139489888 1145496320 1170286912 1199463040 1225144111 1231880960 1255687870 1265175040 1289625380 1317535183 1324480120 1353144242 1386879140 1424362360 1462858640 1737600512 1784562688 1832794112 1878487040 1919140864 1971009536 2009100592 2024280064 2063400608 2119168192 2172000640 2219006624 2230703360 2278979776 2290992640 2340573824 2385806953 2398926080 2450288222 2463761920 2511375740 2530350080 2579250760 2635070366 2648960240 2706288484 2773758280 2848724720 2925717280 3382860605 3475201024 3569125376 3665588224 3838281728 3942019072 4018201184 4126801216 4238336384 4344001280 4438013248 4461406720 4557959552 4581985280 4646045119 4681147648 4771613906 4797852160 4900576444 4927523840 5022751480 5060700160 5158501520 5270140732 5297920480 5412576968 5547516560 5697449440 5851434560 6125720555 6587675915 6765721210 6950402048 7138250752 7676563456 8036402368 8253602432 8476672768 8688002560 8876026496 8922813440 9115919104 9163970560 9292090238 9362295296 9543227812 9595704320 9801152888 9855047680 10045502960 10121400320 10317003040 10540281464 10595840960 10825153936 11095033120 11394898880 11702869120 11929034765 12251441110 13175351830 13531442420 13900804096 16072804736 16507204864 16953345536 17376005120 17752052992 17845626880 18231838208 18327941120 18584180476 18724590592 19086455624 19191408640 19602305776 19710095360 20091005920 20634006080 21080562928 21191681920 21650307872 22190066240 22789797760 23230225595 23405738240 23858069530 24502882220 25033168477 26350703660 27062884840 32145609472 33014409728 33906691072 34752010240 35504105984 35691253760 36463676416 37168360952 37449181184 38172911248 38382817280 39204611552 40182011840 41268012160 42161125856 42383363840 43300615744 44380132480 45330332107 45579595520 46460451190 46811476480 47716139060 49005764440 50066336954 52701407320 54125769680 64291218944 66028819456 67813382144 69504020480 71008211968 72927352832 74336721904 74898362368 76345822496 78409223104 80364023680 82536024320 84322251712 84766727680 86601231488 88274857261 88760264960 90660664214 91159191040 92920902380 93622952960 95432278120 98011528880 100132673908 105402814640 108251539360 125165842385 128582437888 132057638912 135626764288 142016423936 145854705664 148673443808 152691644992 156818446208 160728047360 165072048640 168644503424 169533455360 173202462976 176549714522 177520529920 181321328428 182318382080 185841804760 187245905920 190864556240 196023057760 200265347816 210805629280 216503078720 226651660535 250331684770 257164875776 264115277824 284032847872 297346887616 305383289984 313636892416 321456094720 330144097280 337289006848 339066910720 346404925952 353099429044 355041059840 362642656856 364636764160 371683609520 374491811840 381729112480 392046115520 400530695632 421611258560 433006157440 441374286305 453303321070 500663369540 514329751552 594693775232 610766579968 627273784832 642912189440 660288194560 674578013696 678133821440 692809851904 706198858088 710082119680 725285313712 729273528320 743367219040 763458224960 784092231040 801061391264 843222517120 866012314880 882748572610 906606642140 1001326739080 1189387550464 1221533159936 1254547569664 1285824378880 1320576389120 1349156027392 1385619703808 1412397716176 1420164239360 1450570627424 1486734438080 1526916449920 1568184462080 1602122782528 1677222287959 1686445034240 1732024629760 1765497145220 1813213284280 2002653478160 2378775100928 2443066319872 2509095139328 2571648757760 2698312054784 2771239407616 2824795432352 2901141254848 2973468876160 3053832899840 3136368924160 3204245565056 3354444575918 3372890068480 3464049259520 3530994290440 3626426568560 4005306956320 4757550201856 4886132639744 5018190278656 5396624109568 5649590864704 5802282509696 5946937752320 6107665799680 6272737848320 6408491130112 6708889151836 6745780136960 6928098519040 7061988580880 7252853137120 8010613912640 8386111439795 9515100403712 9772265279488 11299181729408 11604565019392 11893875504640 12215331599360 12545475696640 12816982260224 13417778303672 13491560273920 13856197038080 14123977161760 14505706274240 16021227825280 16772222879590 19030200807424 22598363458816 23209130038784 23787751009280 24430663198720 25090951393280 25633964520448 26835556607344 26983120547840 28247954323520 29011412548480 32042455650560 33544445759180 45196726917632 46418260077568 47575502018560 48861326397440 51267929040896 53671113214688 56495908647040 58022825096960 64084911301120 67088891518360 90393453835264 92836520155136 95151004037120 102535858081792 107342226429376 112991817294080 116045650193920 128169822602240 134177783036720 180786907670528 185673040310272 214684452858752 225983634588160 232091300387840 256339645204480 268355566073440 361573815341056 429368905717504 451967269176320 464182600775680 512679290408960 536711132146880 858737811435008 903934538352640 928365201551360 1073422264293760 1717475622870016 1807869076705280 2146844528587520 3434951245740032 4293689057175040 6869902491480064 8587378114350080 17174756228700160 34349512457400320
• Sum of all divisors σ(n): 90746505104233104
• Sum of proper divisors (its aliquot sum) s(n): 56396992646832784
• 34349512457400320 is an abundant number, because the sum of its proper divisors (56396992646832784) is greater than itself. Its abundance is 22047480189432464

Bases of 34349512457400320

• Binary: 1111010000010001011001100011000001110110011000000000000₂
• Hexadecimal: 0x7A08B3183B3000
• Base-36: 9E7VW6F083K

Squares and roots of 34349512457400320

• 34349512457400320 squared (34349512457400320²) is 1179889006061099770502732736102400
• 34349512457400320 cubed (34349512457400320³) is 40528612112045428236909838731418736396513312768000
• The square root of 34349512457400320 is 185336214.6408529625
• The cube root of 34349512457400320 is 325067.4809223197

Scales and comparisons

• 34,349,512,457,400,320 seconds is equal to 1,092,208,246 years, 6 weeks, 4 days, 6 hours, 45 minutes, 20 seconds.
• To count from 1 to 34,349,512,457,400,320 would take you about three billion, two hundred seventy-six million, six hundred twenty-four thousand, seven hundred thirty-eight 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 34349512457400320 cubic inches would be around 27089 feet tall.

Recreational maths with 34349512457400320

• 34349512457400320 backwards is 02300475421594343
• The number of decimal digits it has is: 17
• The sum of 34349512457400320's digits is 56
• More coming soon!