349126336032768

Names of 349126336032768

• Cardinal: 349126336032768 can be written as Three hundred forty-nine trillion, one hundred twenty-six billion, three hundred thirty-six million, thirty-two thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 3.49126336032768 × 10¹⁴

Factors of 349126336032768

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 570

Divisors of 349126336032768

• Number of divisors d(n): 624
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 149 168 192 224 252 256 288 298 336 384 409 447 448 504 512 576 596 672 768 818 894 896 1008 1024 1043 1152 1192 1227 1341 1344 1536 1636 1788 1792 2016 2048 2086 2304 2384 2454 2682 2688 2863 3072 3129 3272 3576 3584 3681 4032 4096 4172 4608 4768 4908 5364 5376 5726 6144 6258 6544 7152 7168 7362 8064 8344 8589 9216 9387 9536 9816 10728 10752 11452 12288 12516 13088 14304 14336 14724 16128 16688 17178 18432 18774 19072 19632 21456 21504 22201 22904 25032 25767 26176 28608 28672 29448 32256 33376 34356 36864 37548 38144 39264 42912 43008 44402 45808 50064 51534 52352 57216 58896 60941 64512 66603 66752 68712 75096 76288 78528 85824 86016 88804 91616 100128 103068 104704 114432 117792 121882 129024 133206 133504 137424 150192 152576 155407 157056 171648 177608 182823 183232 199809 200256 206136 209408 228864 235584 243764 258048 266412 267008 274848 300384 305152 310814 314112 343296 355216 365646 366464 399618 400512 412272 418816 426587 457728 466221 471168 487528 532824 534016 548469 549696 600768 610304 621628 628224 686592 710432 731292 732928 799236 801024 824544 837632 853174 915456 932442 942336 975056 1065648 1068032 1096938 1099392 1201536 1243256 1256448 1279761 1373184 1398663 1420864 1462584 1465856 1598472 1602048 1649088 1675264 1706348 1830912 1864884 1884672 1950112 2131296 2136064 2193876 2198784 2403072 2486512 2512896 2559522 2746368 2797326 2841728 2925168 2931712 3196944 3204096 3298176 3307949 3412696 3729768 3769344 3839283 3900224 4262592 4272128 4387752 4397568 4806144 4973024 5025792 5119044 5492736 5594652 5683456 5850336 5863424 6393888 6408192 6596352 6615898 6825392 7459536 7538688 7678566 7800448 8525184 8775504 8795136 9080209 9612288 9923847 9946048 10238088 11189304 11366912 11700672 11726848 12787776 12816384 13192704 13231796 13650784 14919072 15077376 15357132 15600896 17050368 17551008 17590272 18160418 19224576 19847694 19892096 20476176 22378608 22733824 23155643 23401344 25575552 26385408 26463592 27240627 27301568 29771541 29838144 30714264 31201792 34100736 35102016 35180544 36320836 38449152 39695388 39784192 40952352 44757216 45467648 46311286 46802688 51151104 52770816 52927184 54481254 54603136 59543082 59676288 61428528 62403584 63561463 68201472 69466929 70204032 72641672 79390776 79568384 81721881 81904704 89514432 90935296 92622572 93605376 102302208 105541632 105854368 108962508 109206272 119086164 119352576 122857056 124807168 127122926 136402944 138933858 140408064 145283344 158781552 159136768 163443762 163809408 179028864 185245144 187210752 190684389 204604416 208400787 211708736 217925016 218412544 238172328 238705152 245714112 249614336 254245852 272805888 277867716 280816128 290566688 317563104 318273536 326887524 327618816 358057728 370490288 374421504 381368778 409208832 416801574 423417472 435850032 436825088 476344656 477410304 491428224 508491704 555735432 561632256 572053167 581133376 635126208 636547072 653775048 655237632 716115456 740980576 748843008 762737556 818417664 833603148 846834944 871700064 873650176 952689312 954820608 982856448 1016983408 1111470864 1123264512 1144106334 1162266752 1270252416 1307550096 1310475264 1352951141 1432230912 1481961152 1525475112 1667206296 1693669888 1743400128 1747300352 1905378624 1909641216 1965712896 2033966816 2222941728 2246529024 2288212668 2324533504 2540504832 2615100192 2620950528 2705902282 2864461824 2963922304 3050950224 3334412592 3387339776 3486800256 3810757248 3931425792 4058853423 4067933632 4445883456 4576425336 4649067008 5081009664 5230200384 5241901056 5411804564 5728923648 5927844608 6101900448 6668825184 6774679552 6973600512 7621514496 7862851584 8117706846 8135867264 8891766912 9152850672 9298134016 9470657987 10162019328 10460400768 10823609128 11855689216 12176560269 12203800896 13337650368 13549359104 13947201024 15243028992 15725703168 16235413692 16271734528 17783533824 18305701344 18596268032 18941315974 20324038656 20920801536 21647218256 23711378432 24353120538 24407601792 26675300736 27894402048 28411973961 30486057984 32470827384 32543469056 35567067648 36611402688 37192536064 37882631948 40648077312 41841603072 43294436512 47422756864 48706241076 48815203584 53350601472 55788804096 56823947922 60972115968 64941654768 65086938112 71134135296 73222805376 75765263896 83683206144 85235921883 86588873024 94845513728 97412482152 97630407168 106701202944 111577608192 113647895844 121944231936 129883309536 130173876224 142268270592 146445610752 151530527792 167366412288 170471843766 173177746048 194824964304 195260814336 213402405888 227295791688 259766619072 260347752448 284536541184 292891221504 303061055584 334732824576 340943687532 346355492096 389649928608 390521628672 426804811776 454591583376 519533238144 585782443008 606122111168 681887375064 692710984192 779299857216 781043257344 853609623552 909183166752 1039066476288 1171564886016 1212244222336 1363774750128 1385421968384 1558599714432 1818366333504 2078132952576 2343129772032 2424488444672 2727549500256 2770843936768 3117199428864 3636732667008 4156265905152 4848976889344 5455099000512 5541687873536 6234398857728 7273465334016 8312531810304 9697953778688 10910198001024 12468797715456 14546930668032 16625063620608 19395907557376 21820396002048 24937595430912 29093861336064 38791815114752 43640792004096 49875190861824 58187722672128 87281584008192 116375445344256 174563168016384 349126336032768
• Sum of all divisors σ(n): 1163154698472000
• Sum of proper divisors (its aliquot sum) s(n): 814028362439232
• 349126336032768 is an abundant number, because the sum of its proper divisors (814028362439232) is greater than itself. Its abundance is 464902026406464

Bases of 349126336032768

• Binary: 1001111011000011101001111001111011011000000000000₂
• Hexadecimal: 0x13D874F3DB000
• Base-36: 3FR6FAARK0

Squares and roots of 349126336032768

• 349126336032768 squared (349126336032768²) is 121889198511665239557169741824
• 349126336032768 cubed (349126336032768³) is 42554729278348403601987181062888414964088832
• The square root of 349126336032768 is 18684922.6927158573
• The cube root of 349126336032768 is 70414.3006438901

Scales and comparisons

• 349,126,336,032,768 seconds is equal to 11,101,137 years, 29 weeks, 3 days, 10 hours, 52 minutes, 48 seconds.
• To count from 1 to 349,126,336,032,768 would take you about twenty-seven million, seven hundred fifty-two thousand, eight hundred forty-three 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 349126336032768 cubic inches would be around 5867.9 feet tall.

Recreational maths with 349126336032768

• 349126336032768 backwards is 867230633621943
• 349126336032768 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 349126336032768's digits is 63
• More coming soon!