34033664960064

Names of 34033664960064

• Cardinal: 34033664960064 can be written as Thirty-four trillion, thirty-three billion, six hundred sixty-four million, nine hundred sixty thousand and sixty-four.

Scientific notation

• Scientific notation: 3.4033664960064 × 10¹³

Factors of 34033664960064

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 4600

Divisors of 34033664960064

• Number of divisors d(n): 896
• Complete list of divisors:
  1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 32 33 36 42 44 48 53 54 56 63 64 66 72 77 84 88 96 99 106 108 112 126 132 144 154 159 168 176 189 192 198 212 216 224 231 252 264 288 297 308 318 336 352 371 378 396 424 432 448 462 477 504 528 576 583 594 616 636 672 693 704 742 756 792 848 864 924 954 1008 1056 1113 1166 1188 1232 1272 1344 1386 1431 1484 1512 1584 1696 1723 1728 1749 1848 1908 2016 2079 2112 2226 2332 2376 2464 2544 2772 2801 2862 2968 3024 3168 3339 3392 3446 3498 3696 3816 4032 4081 4158 4452 4664 4752 4928 5088 5169 5247 5544 5602 5724 5936 6048 6336 6678 6892 6996 7392 7632 8162 8316 8403 8904 9328 9504 10017 10176 10338 10494 11088 11204 11448 11872 12061 12096 12243 13356 13784 13992 14784 15264 15507 15741 16324 16632 16806 17808 18656 18953 19008 19607 20034 20676 20988 22176 22408 22896 23744 24122 24486 25209 26712 27568 27984 30528 30811 31014 31482 32648 33264 33612 35616 36183 36729 37312 37906 39214 40068 41352 41976 44352 44816 45792 46521 48244 48972 50418 53424 55136 55968 56859 58821 61622 62028 62964 65296 66528 67224 71232 72366 73458 75627 75812 78428 80136 82704 83952 89632 91319 91584 92433 93042 96488 97944 100836 106848 108549 110187 110272 111936 113718 117642 123244 124056 125928 130592 132671 133056 134448 144732 146916 148453 151254 151624 156856 160272 165408 167904 170577 176463 179264 182638 184866 186084 192976 195888 201672 213696 215677 217098 220374 227436 235284 246488 248112 251856 261184 265342 268896 273957 277299 289464 293832 296906 302508 303248 313712 320544 325647 330816 335808 341154 352926 365276 369732 372168 385952 391776 398013 403344 431354 434196 440748 445359 454872 470568 492976 496224 503712 511731 529389 530684 537792 547914 554598 578928 587664 593812 605016 606496 627424 639233 641088 647031 651294 682308 705852 730552 739464 744336 771904 783552 796026 806688 821871 831897 862708 868392 881496 890718 909744 941136 985952 992448 1004509 1007424 1023462 1039171 1058778 1061368 1095828 1109196 1157856 1175328 1187624 1194039 1210032 1212992 1254848 1278466 1294062 1302588 1336077 1364616 1411704 1461104 1478928 1488672 1592052 1613376 1632983 1643742 1663794 1725416 1736784 1762992 1781436 1819488 1882272 1917699 1941093 1971904 2009018 2046924 2078342 2117556 2122736 2191656 2218392 2315712 2350656 2375248 2388078 2420064 2465613 2556932 2588124 2605176 2672154 2729232 2823408 2922208 2957856 2977344 3013527 3117513 3184104 3265966 3287484 3327588 3450832 3473568 3525984 3562872 3582117 3638976 3764544 3835398 3882186 4008231 4018036 4093848 4156684 4235112 4245472 4383312 4436784 4750496 4776156 4826123 4840128 4898949 4931226 5113864 5176248 5210352 5344308 5458464 5646816 5753097 5823279 5844416 5915712 6027054 6235026 6368208 6531932 6574968 6655176 6901664 6947136 7031563 7051968 7125744 7164234 7670796 7764372 8016462 8036072 8187696 8313368 8470224 8490944 8766624 8873568 9040581 9352539 9500992 9552312 9652246 9797898 9862452 10227728 10352496 10420704 10688616 10916928 11293632 11430881 11506194 11646558 12054108 12470052 12736416 13063864 13149936 13310352 13803328 14063126 14251488 14328468 14478369 14696847 15341592 15528744 16032924 16072144 16375392 16626736 16940448 17259291 17533248 17747136 18081162 18705078 19104624 19304492 19595796 19724904 20455456 20704992 20841408 21094689 21377232 22861762 23012388 23293116 24108216 24940104 25472832 26127728 26299872 26620704 27121743 28057617 28126252 28502976 28656936 28956738 29393694 30683184 31057488 32065848 32144288 32750784 33253472 33782861 33880896 34292643 34518582 36162324 37410156 38209248 38608984 39191592 39449808 40910912 41409984 42189378 42754464 43435107 44090541 45723524 46024776 46586232 48216432 49880208 52255456 52599744 53087353 53241408 54243486 56115234 56252504 57313872 57913476 58787388 61366368 62114976 63284067 64131696 64288576 66506944 67565722 68585286 69037164 72324648 74820312 76418496 77217968 78383184 78899616 84378756 85508928 86870214 88181082 91447048 92049552 93172464 96432864 99760416 101348583 102877929 104510912 106174706 108486972 112230468 112505008 114627744 115826952 117574776 122732736 124229952 126568134 128263392 130305321 135131444 137170572 138074328 144649296 149640624 154435936 156766368 157799232 159262059 168757512 173740428 176362164 182894096 184099104 186344928 189852201 192865728 199520832 202697166 205755858 212349412 216973944 224460936 225010016 229255488 231653904 235149552 253136268 255784519 256526784 260610642 270262888 274341144 276148656 289298592 299281248 304045749 308633787 308871872 313532736 318524118 337515024 347480856 352724328 365788192 368198208 371611471 372689856 379704402 405394332 411511716 424698824 433947888 448921872 450020032 463307808 470299104 477786177 506272536 511569038 521221284 540525776 548682288 552297312 578597184 598562496 608091498 617267574 637048236 675030048 694961712 705448656 731576384 743222942 759408804 767353557 810788664 823023432 849397648 867895776 897843744 912137247 926615616 940598208 955572354 1012545072 1023138076 1042442568 1081051552 1097364576 1104594624 1114834413 1216182996 1234535148 1274096472 1350060096 1389923424 1410897312 1433358531 1486445884 1518817608 1534707114 1621577328 1646046864 1698795296 1735791552 1790491633 1795687488 1824274494 1911144708 2025090144 2046276152 2084885136 2162103104 2194729152 2229668826 2302060671 2432365992 2469070296 2548192944 2779846848 2813629709 2821794624 2866717062 2972891768 3037635216 3069414228 3243154656 3292093728 3344503239 3397590592 3580983266 3648548988 3822289416 4050180288 4092552304 4169770272 4459337652 4604121342 4864731984 4938140592 5096385888 5371474899 5627259418 5733434124 5945783536 6075270432 6138828456 6486309312 6584187456 6689006478 6906182013 7161966532 7297097976 7644578832 8185104608 8339540544 8440889127 8918675304 9208242684 9729463968 9876281184 10033509717 10192771776 10742949798 11254518836 11466868248 11891567072 12150540864 12277656912 13378012956 13812364026 14323933064 14594195952 15289157664 16114424697 16370209216 16881778254 17837350608 18416485368 19458927936 19695407963 19752562368 20067019434 21485899596 22509037672 22933736496 23783134144 24555313824 25322667381 26756025912 27624728052 28647866128 29188391904 30578315328 32228849394 33763556508 35674701216 36832970736 39390815926 40134038868 42971799192 45018075344 45867472992 48343274091 49110627648 50645334762 53512051824 55249456104 57295732256 58376783808 59086223889 64457698788 67527113016 71349402432 73665941472 75968002143 78781631852 80268077736 85943598384 90036150688 91734945984 96686548182 101290669524 107024103648 110498912208 114591464512 118172447778 128915397576 135054226032 147331882944 151936004286 157563263704 160536155472 171887196768 177258671667 180072301376 193373096364 202581339048 214048207296 220997824416 236344895556 257830795152 270108452064 303872008572 315126527408 321072310944 343774393536 354517343334 386746192728 405162678096 441995648832 472689791112 515661590304 531776015001 540216904128 607744017144 630253054816 642144621888 709034686668 773492385456 810325356192 945379582224 1031323180608 1063552030002 1215488034288 1260506109632 1418069373336 1546984770912 1620650712384 1890759164448 2127104060004 2430976068576 2836138746672 3093969541824 3781518328896 4254208120008 4861952137152 5672277493344 8508416240016 11344554986688 17016832480032 34033664960064
• Sum of all divisors σ(n): 127213762498560
• Sum of proper divisors (its aliquot sum) s(n): 93180097538496
• 34033664960064 is an abundant number, because the sum of its proper divisors (93180097538496) is greater than itself. Its abundance is 59146432578432

Bases of 34033664960064

• Binary: 111101111010000010100100000101010011001000000₂
• Hexadecimal: 0x1EF41482A640
• Base-36: C2AULE6O0

Squares and roots of 34033664960064

• 34033664960064 squared (34033664960064²) is 1158290350613888110714884096
• 34033664960064 cubed (34033664960064³) is 39420865719268128865437040247582228742144
• The square root of 34033664960064 is 5833837.9271337321
• The cube root of 34033664960064 is 32406.8067800429

Scales and comparisons

• 34,033,664,960,064 seconds is equal to 1,082,165 years, 14 weeks, 1 day, 6 hours, 14 minutes, 24 seconds.
• To count from 1 to 34,033,664,960,064 would take you about two million, seven hundred five thousand, four hundred thirteen 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 34033664960064 cubic inches would be around 2700.6 feet tall.

Recreational maths with 34033664960064

• 34033664960064 backwards is 46006946633043
• 34033664960064 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 34033664960064's digits is 54
• More coming soon!