34856697384198144

Names of 34856697384198144

• Cardinal: 34856697384198144 can be written as Thirty-four quadrillion, eight hundred fifty-six trillion, six hundred ninety-seven billion, three hundred eighty-four million, one hundred ninety-eight thousand, one hundred forty-four.

Scientific notation

• Scientific notation: 3.4856697384198144 × 10¹⁶

Factors of 34856697384198144

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 20016

Divisors of 34856697384198144

• Number of divisors d(n): 756
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 64 72 78 84 91 96 104 112 117 126 128 144 156 168 169 182 192 208 224 234 252 256 273 288 312 336 338 364 384 416 448 468 504 507 512 546 576 624 672 676 728 768 819 832 896 936 1008 1014 1024 1092 1152 1183 1248 1344 1352 1456 1521 1536 1638 1664 1792 1872 2016 2028 2048 2184 2304 2366 2496 2688 2704 2912 3042 3072 3276 3328 3549 3584 3744 4032 4056 4096 4368 4608 4732 4992 5376 5408 5824 6084 6144 6552 6656 7098 7168 7488 8064 8112 8192 8736 9216 9464 9984 10647 10752 10816 11648 12168 12288 13104 13312 14196 14336 14976 16128 16224 17472 18432 18928 19968 19991 21294 21504 21632 23296 24336 24576 26208 26624 28392 28672 29952 32256 32448 34944 36864 37856 39936 39982 42588 43008 43264 46592 48672 52416 53248 56784 57344 59904 59973 64512 64896 69888 73728 75712 79872 79964 85176 86016 86528 93184 97344 104832 106496 113568 119808 119946 129024 129792 139776 139937 151424 159744 159928 170352 172032 173056 179919 186368 194688 209664 227136 239616 239892 258048 259584 259883 279552 279874 302848 319488 319856 340704 346112 359838 372736 389376 419328 419811 454272 479232 479784 516096 519168 519766 559104 559748 605696 639712 681408 692224 719676 745472 778752 779649 838656 839622 908544 958464 959568 1038336 1039532 1118208 1119496 1211392 1259433 1279424 1362816 1384448 1439352 1557504 1559298 1677312 1679244 1817088 1819181 1919136 2076672 2079064 2236416 2238992 2338947 2422784 2518866 2558848 2725632 2878704 3115008 3118596 3354624 3358488 3378479 3634176 3638362 3838272 4153344 4158128 4477984 4677894 4845568 5037732 5117696 5451264 5457543 5757408 6230016 6237192 6709248 6716976 6756958 7268352 7276724 7676544 8316256 8955968 9355788 9691136 10075464 10135437 10235392 10902528 10915086 11514816 12460032 12474384 13433952 13513916 14536704 14553448 15353088 16372629 16632512 17911936 18711576 20150928 20270874 20470784 21805056 21830172 23029632 23649353 24948768 26867904 27027832 29073408 29106896 30406311 30706176 32745258 33265024 35823872 37423152 40301856 40541748 40941568 43610112 43660344 46059264 47298706 49897536 53735808 54055664 58213792 60812622 61412352 65490516 66530048 70948059 71647744 74846304 80603712 81083496 81883136 87220224 87320688 92118528 94597412 99795072 107471616 108111328 116427584 121625244 122824704 130981032 133060096 141896118 143295488 149692608 161207424 162166992 163766272 174641376 184237056 189194824 199590144 212844177 214943232 216222656 232855168 243250488 245649408 261962064 266120192 283792236 286590976 299385216 322414848 324333984 349282752 368474112 378389648 399180288 399640081 425688354 429886464 432445312 465710336 486500976 491298816 523924128 532240384 567584472 573181952 598770432 644829696 648667968 698565504 736948224 756779296 798360576 799280162 851376708 859772928 864890624 931420672 973001952 1047848256 1064480768 1135168944 1146363904 1197540864 1198920243 1289659392 1297335936 1397131008 1473896448 1513558592 1596721152 1598560324 1702753416 1719545856 1729781248 1862841344 1946003904 2095696512 2128961536 2270337888 2395081728 2397840486 2579318784 2594671872 2794262016 2797480567 3027117184 3193442304 3197120648 3405506832 3439091712 3459562496 3596760729 3725682688 3892007808 4191393024 4540675776 4790163456 4795680972 5158637568 5189343744 5195321053 5588524032 5594961134 6054234368 6386884608 6394241296 6811013664 6919124992 7193521458 7451365376 7784015616 8382786048 8392441701 9081351552 9580326912 9591361944 10317275136 10378687488 10390642106 11177048064 11189922268 12108468736 12788482592 13622027328 13838249984 14387042916 14902730752 15568031232 15585963159 16765572096 16784883402 18162703104 19160653824 19182723888 20757374976 20781284212 22354096128 22379844536 24216937472 25177325103 25576965184 27244054656 27676499968 28774085832 31136062464 31171926318 33531144192 33569766804 36325406208 36367247371 38365447776 41514749952 41562568424 44708192256 44759689072 46757889477 48433874944 50354650206 51153930368 54488109312 57548171664 62272124928 62343852636 67062288384 67139533608 67539173689 72650812416 72734494742 76730895552 83029499904 83125136848 89519378144 93515778954 96867749888 100709300412 102307860736 108976218624 109101742113 115096343328 124544249856 124687705272 134124576768 134279067216 135078347378 145301624832 145468989484 153461791104 166250273696 179038756288 187031557908 193735499776 201418600824 202617521067 204615721472 217952437248 218203484226 230192686656 249088499712 249375410544 268558134432 270156694756 290603249664 290937978968 306923582208 327305226339 332500547392 358077512576 374063115816 402837201648 405235042134 409231442944 435904874496 436406968452 460385373312 472774215823 498750821088 537116268864 540313389512 581206499328 581875957936 607852563201 613847164416 654610452678 665001094784 716155025152 748126231632 805674403296 810470084268 818462885888 871809748992 872813936904 920770746624 945548431646 997501642176 1074232537728 1080626779024 1163751915872 1215705126402 1227694328832 1309220905356 1330002189568 1418322647469 1432310050304 1496252463264 1611348806592 1620940168536 1636925771776 1743619497984 1745627873808 1841541493248 1891096863292 1995003284352 2148465075456 2161253558048 2327503831744 2431410252804 2455388657664 2618441810712 2660004379136 2836645294938 2864620100608 2992504926528 3222697613184 3241880337072 3273851543552 3491255747616 3683082986496 3782193726584 3990006568704 4254967942407 4296930150912 4322507116096 4655007663488 4862820505608 4910777315328 5236883621424 5320008758272 5673290589876 5729240201216 5985009853056 6445395226368 6483760674144 6982511495232 7366165972992 7564387453168 7980013137408 8509935884814 8593860301824 8645014232192 9310015326976 9725641011216 9821554630656 10473767242848 10640017516544 11346581179752 11458480402432 11970019706112 12890790452736 12967521348288 13965022990464 14732331945984 15128774906336 15960026274816 17019871769628 17187720603648 17290028464384 18620030653952 19451282022432 20947534485696 21280035033088 22693162359504 22916960804864 23940039412224 25781580905472 25935042696576 27930045980928 29464663891968 30257549812672 31920052549632 34039743539256 34375441207296 34580056928768 37240061307904 38902564044864 41895068971392 42560070066176 45386324719008 47880078824448 51563161810944 51870085393152 55860091961856 60515099625344 63840105099264 68079487078512 68750882414592 69160113857536 74480122615808 77805128089728 83790137942784 90772649438016 95760157648896 103126323621888 103740170786304 111720183923712 121030199250688 127680210198528 136158974157024 138320227715072 148960245231616 155610256179456 167580275885568 181545298876032 191520315297792 206252647243776 207480341572608 223440367847424 242060398501376 272317948314048 276640455430144 297920490463232 311220512358912 335160551771136 363090597752064 383040630595584 414960683145216 446880735694848 484120797002752 544635896628096 553280910860288 622441024717824 670321103542272 726181195504128 829921366290432 893761471389696 968241594005504 1089271793256192 1244882049435648 1340642207084544 1452362391008256 1659842732580864 1936483188011008 2178543586512384 2489764098871296 2681284414169088 2904724782016512 3872966376022016 4357087173024768 4979528197742592 5809449564033024 8714174346049536 11618899128066048 17428348692099072 34856697384198144
• Sum of all divisors σ(n): 124614512734451688
• Sum of proper divisors (its aliquot sum) s(n): 89757815350253544
• 34856697384198144 is an abundant number, because the sum of its proper divisors (89757815350253544) is greater than itself. Its abundance is 54901117966055400

Bases of 34856697384198144

• Binary: 1111011110101011111101101001001101000001110000000000000₂
• Hexadecimal: 0x7BD5FB49A0E000
• Base-36: 9J7O1PTAM80

Squares and roots of 34856697384198144

• 34856697384198144 squared (34856697384198144²) is 1214989352533565734348949853044736
• 34856697384198144 cubed (34856697384198144³) is 42350516186285337354941490134638472085852320169984
• The square root of 34856697384198144 is 186699484.1562186641
• The cube root of 34856697384198144 is 326659.5895284473

Scales and comparisons

• 34,856,697,384,198,144 seconds is equal to 1,108,335,157 years, 50 weeks, 4 days, 7 hours, 2 minutes, 24 seconds.
• To count from 1 to 34,856,697,384,198,144 would take you about three billion, three hundred twenty-five million, five thousand, four hundred seventy-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 34856697384198144 cubic inches would be around 27221.6 feet tall.

Recreational maths with 34856697384198144

• 34856697384198144 backwards is 44189148379665843
• The number of decimal digits it has is: 17
• The sum of 34856697384198144's digits is 90
• More coming soon!