34122014464319424

Names of 34122014464319424

• Cardinal: 34122014464319424 can be written as Thirty-four quadrillion, one hundred twenty-two trillion, fourteen billion, four hundred sixty-four million, three hundred nineteen thousand, four hundred twenty-four.

Scientific notation

• Scientific notation: 3.4122014464319424 × 10¹⁶

Factors of 34122014464319424

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 51235

Divisors of 34122014464319424

• Number of divisors d(n): 378
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 81 93 96 108 124 144 162 186 192 216 243 248 279 288 324 372 432 486 496 558 576 648 729 744 837 864 972 992 1116 1296 1458 1488 1674 1728 1944 1984 2187 2232 2511 2592 2916 2976 3348 3888 4374 4464 5022 5184 5832 5952 6561 6696 7533 7776 8748 8928 10044 11664 13122 13392 15066 15552 17496 17856 20088 22599 23328 26244 26784 30132 34992 40176 45198 46656 51199 52488 53568 60264 67797 69984 80352 90396 102398 104976 120528 135594 139968 153597 160704 180792 203391 204796 209952 241056 271188 307194 361584 406782 409592 419904 460791 482112 542376 614388 723168 813564 819184 921582 1084752 1228776 1382373 1446336 1587169 1627128 1638368 1843164 2169504 2457552 2764746 3174338 3254256 3276736 3686328 4147119 4339008 4761507 4915104 5529492 6348676 6508512 7372656 8294238 9523014 9830208 11058984 12441357 12697352 13017024 14284521 14745312 16588476 19046028 22117968 24882714 25394704 28569042 29490624 33176952 37324071 38092056 42853563 44235936 49765428 50789408 57138084 66353904 74648142 76184112 85707126 88471872 99530856 101578816 111972213 114276168 128560689 132707808 149296284 152368224 171414252 199061712 223944426 228552336 257121378 265415616 298592568 304736448 335916639 342828504 385682067 398123424 447888852 457104672 514242756 597185136 671833278 685657008 771364134 796246848 895777704 914209344 1028485512 1157046201 1194370272 1343666556 1371314016 1542728268 1791555408 2056971024 2314092402 2388740544 2621337601 2687333112 2742628032 3085456536 3471138603 3583110816 4113942048 4628184804 5242675202 5374666224 6170913072 6942277206 7166221632 7864012803 8227884096 9256369608 10413415809 10485350404 10749332448 12341826144 13884554412 15728025606 18512739216 20826831618 20970700808 21498664896 23592038409 24683652288 27769108824 31456051212 37025478432 41653663236 41941401616 47184076818 55538217648 62912102424 70776115227 74050956864 81261465631 83307326472 83882803232 94368153636 111076435296 125824204848 141552230454 162522931262 166614652944 167765606464 188736307272 212328345681 222152870592 243784396893 251648409696 283104460908 325045862524 333229305888 377472614544 424656691362 487568793786 503296819392 566208921816 636985037043 650091725048 666458611776 731353190679 754945229088 849313382724 975137587572 1132417843632 1273970074086 1300183450096 1462706381358 1509890458176 1698626765448 1910955111129 1950275175144 2194059572037 2264835687264 2547940148172 2600366900192 2925412762716 3397253530896 3821910222258 3900550350288 4388119144074 4529671374528 5095880296344 5200733800384 5732865333387 5850825525432 6582178716111 6794507061792 7643820444516 7801100700576 8776238288148 10191760592688 11465730666774 11701651050864 13164357432222 13589014123584 15287640889032 15602201401152 17198596000161 17552476576296 19746536148333 20383521185376 22931461333548 23403302101728 26328714864444 30575281778064 34397192000322 35104953152592 39493072296666 40767042370752 45862922667096 46806604203456 52657429728888 59239608444999 61150563556128 68794384000644 70209906305184 78986144593332 91725845334192 105314859457776 118479216889998 122301127112256 137588768001288 140419812610368 157972289186664 177718825334997 183451690668384 210629718915552 236958433779996 275177536002576 315944578373328 355437650669994 366903381336768 421259437831104 473916867559992 533156476004991 550355072005152 631889156746656 710875301339988 947833735119984 1066312952009982 1100710144010304 1263778313493312 1421750602679976 1895667470239968 2132625904019964 2843501205359952 3791334940479936 4265251808039928 5687002410719904 8530503616079856 11374004821439808 17061007232159712 34122014464319424
• Sum of all divisors σ(n): 104839362342765024
• Sum of proper divisors (its aliquot sum) s(n): 70717347878445600
• 34122014464319424 is an abundant number, because the sum of its proper divisors (70717347878445600) is greater than itself. Its abundance is 36595333414126176

Bases of 34122014464319424

• Binary: 1111001001110011100101010010111001010101001111111000000₂
• Hexadecimal: 0x7939CA972A9FC0
• Base-36: 9BZ8T1JR000

Squares and roots of 34122014464319424

• 34122014464319424 squared (34122014464319424²) is 1164311871103223987992399503691776
• 34122014464319424 cubed (34122014464319424³) is 39728666506763021710423694406177686288915305857024
• The square root of 34122014464319424 is 184721451.0129222213
• The cube root of 34122014464319424 is 324348.2463999585

Scales and comparisons

• 34,122,014,464,319,424 seconds is equal to 1,084,974,513 years, 33 weeks, 3 days, 15 hours, 50 minutes, 24 seconds.
• To count from 1 to 34,122,014,464,319,424 would take you about three billion, two hundred fifty-four million, nine hundred twenty-three thousand, five hundred forty 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 34122014464319424 cubic inches would be around 27029 feet tall.

Recreational maths with 34122014464319424

• 34122014464319424 backwards is 42491346441022143
• 34122014464319424 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 34122014464319424's digits is 54
• More coming soon!