34038504384233472

Names of 34038504384233472

• Cardinal: 34038504384233472 can be written as Thirty-four quadrillion, thirty-eight trillion, five hundred four billion, three hundred eighty-four million, two hundred thirty-three thousand, four hundred seventy-two.

Scientific notation

• Scientific notation: 3.4038504384233472 × 10¹⁶

Factors of 34038504384233472

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 23
• Sum of prime factors: 4633

Divisors of 34038504384233472

• Number of divisors d(n): 486
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 128 144 148 192 222 256 288 296 333 384 444 512 576 592 666 768 888 1024 1152 1184 1332 1369 1536 1776 2048 2304 2368 2664 2738 3072 3552 4096 4107 4591 4608 4736 5328 5476 6144 7104 8192 8214 9182 9216 9472 10656 10952 12288 12321 13773 14208 16384 16428 18364 18432 18944 21312 21904 24576 24642 27546 28416 32768 32856 36728 36864 37888 41319 42624 43808 49152 49284 55092 56832 65536 65712 73456 73728 75776 82638 85248 87616 98304 98568 110184 113664 131072 131424 146912 147456 151552 165276 169867 170496 175232 196608 197136 220368 227328 262848 293824 294912 303104 330552 339734 340992 350464 393216 394272 440736 454656 509601 525696 587648 589824 606208 661104 679468 681984 700928 788544 881472 909312 1019202 1051392 1175296 1179648 1212416 1322208 1358936 1363968 1401856 1528803 1577088 1762944 1818624 2038404 2102784 2350592 2424832 2644416 2717872 2727936 2803712 3057606 3154176 3525888 3637248 4076808 4205568 4701184 4849664 5288832 5435744 5455872 5607424 6115212 6285079 6308352 7051776 7274496 8153616 8411136 9402368 10577664 10871488 10911744 11214848 12230424 12570158 12616704 14103552 14548992 16307232 16822272 18804736 18855237 21077281 21155328 21742976 21823488 22429696 24460848 25140316 25233408 28207104 32614464 33644544 37609472 37710474 42154562 42310656 43485952 43646976 44859392 48921696 50280632 50466816 56414208 56565711 63231843 65228928 67289088 75218944 75420948 84309124 84621312 86971904 89718784 97843392 100561264 100933632 112828416 113131422 126463686 130457856 134578176 150437888 150841896 168618248 169242624 173943808 179437568 189695529 195686784 201122528 201867264 225656832 226262844 252927372 260915712 269156352 300875776 301683792 337236496 338485248 347887616 379391058 391373568 402245056 403734528 451313664 452525688 505854744 521831424 538312704 601751552 603367584 674472992 676970496 695775232 758782116 779859397 782747136 804490112 807469056 902627328 905051376 1011709488 1043662848 1206735168 1348945984 1353940992 1391550464 1517564232 1559718794 1565494272 1608980224 1614938112 1805254656 1810102752 2023418976 2087325696 2339578191 2413470336 2697891968 2707881984 2783100928 3035128464 3119437588 3130988544 3217960448 3620205504 4046837952 4174651392 4679156382 4826940672 5395783936 5415763968 5566201856 6070256928 6238875176 6261977088 6435920896 7018734573 7240411008 8093675904 8349302784 9358312764 9653881344 10791567872 11132403712 12140513856 12477750352 12523954176 12871841792 14037469146 14480822016 16187351808 16698605568 18716625528 19307762688 21583135744 22264807424 24281027712 24955500704 25047908352 25743683584 28074938292 28854797689 28961644032 32374703616 33397211136 37433251056 38615525376 43166271488 48562055424 49911001408 50095816704 51487367168 56149876584 57709595378 57923288064 64749407232 66794422272 74866502112 77231050752 86332542976 86564393067 97124110848 99822002816 100191633408 102974734336 112299753168 115419190756 115846576128 129498814464 149733004224 154462101504 172665085952 173128786134 194248221696 199644005632 200383266816 205949468672 224599506336 230838381512 231693152256 258997628928 259693179201 299466008448 308924203008 345330171904 346257572268 388496443392 399288011264 411898937344 449199012672 461676763024 463386304512 517995257856 519386358402 598932016896 617848406016 690660343808 692515144536 776992886784 798576022528 823797874688 898398025344 923353526048 926772609024 1035990515712 1038772716804 1197864033792 1235696812032 1381320687616 1385030289072 1553985773568 1597152045056 1796796050688 1846707052096 1853545218048 2071981031424 2077545433608 2395728067584 2471393624064 2762641375232 2770060578144 3107971547136 3194304090112 3593592101376 3693414104192 3707090436096 4143962062848 4155090867216 4791456135168 5540121156288 6215943094272 6388608180224 7187184202752 7386828208384 7414180872192 8287924125696 8310181734432 9582912270336 11080242312576 12431886188544 12777216360448 14374368405504 14773656416768 16620363468864 19165824540672 22160484625152 24863772377088 25554432720896 28748736811008 29547312833536 33240726937728 38331649081344 44320969250304 51108865441792 57497473622016 59094625667072 66481453875456 76663298162688 88641938500608 102217730883584 114994947244032 118189251334144 132962907750912 153326596325376 177283877001216 229989894488064 236378502668288 265925815501824 306653192650752 354567754002432 459979788976128 472757005336576 531851631003648 709135508004864 919959577952256 945514010673152 1063703262007296 1418271016009728 1891028021346304 2127406524014592 2836542032019456 3782056042692608 4254813048029184 5673084064038912 8509626096058368 11346168128077824 17019252192116736 34038504384233472
• Sum of all divisors σ(n): 101084579250349149
• Sum of proper divisors (its aliquot sum) s(n): 67046074866115677
• 34038504384233472 is an abundant number, because the sum of its proper divisors (67046074866115677) is greater than itself. Its abundance is 33007570481882205

Bases of 34038504384233472

• Binary: 1111000111011011101011011100010100000100000000000000000₂
• Hexadecimal: 0x78EDD6E2820000
• Base-36: 9B5N51I8E80

Squares and roots of 34038504384233472

• 34038504384233472 squared (34038504384233472²) is 1158619780715481294847137005174784
• 34038504384233472 cubed (34038504384233472³) is 39437684485543533988767474409361066641125223170048
• The square root of 34038504384233472 is 184495269.2733162521
• The cube root of 34038504384233472 is 324083.4273815235

Scales and comparisons

• 34,038,504,384,233,472 seconds is equal to 1,082,319,151 years, 21 weeks, 2 days, 19 hours, 31 minutes, 12 seconds.
• To count from 1 to 34,038,504,384,233,472 would take you about three billion, two hundred forty-six million, nine hundred fifty-seven thousand, four hundred fifty-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 34038504384233472 cubic inches would be around 27007 feet tall.

Recreational maths with 34038504384233472

• 34038504384233472 backwards is 27433248340583043
• The number of decimal digits it has is: 17
• The sum of 34038504384233472's digits is 63
• More coming soon!