29648930992128

Names of 29648930992128

• Cardinal: 29648930992128 can be written as Twenty-nine trillion, six hundred forty-eight billion, nine hundred thirty million, nine hundred ninety-two thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 2.9648930992128 × 10¹³

Factors of 29648930992128

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 23
• Sum of prime factors: 409

Divisors of 29648930992128

• Number of divisors d(n): 702
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 144 162 168 189 192 216 224 243 252 256 288 324 336 378 384 397 432 448 486 504 512 567 576 648 672 729 756 768 794 864 896 972 1008 1024 1134 1152 1191 1296 1344 1458 1512 1536 1588 1701 1728 1792 1944 2016 2048 2187 2268 2304 2382 2592 2688 2779 2916 3024 3072 3176 3402 3456 3573 3584 3888 4032 4096 4374 4536 4608 4764 5103 5184 5376 5558 5832 6048 6144 6352 6561 6804 6912 7146 7168 7776 8064 8337 8748 9072 9216 9528 10206 10368 10719 10752 11116 11664 12096 12288 12704 13122 13608 13824 14292 14336 15309 15552 16128 16674 17496 18144 18432 19056 20412 20736 21438 21504 22232 23328 24192 25011 25408 26244 27216 27648 28584 28672 30618 31104 32157 32256 33348 34992 36288 36864 38112 40824 41472 42876 43008 44464 45927 46656 48384 50022 50816 52488 54432 55296 57168 61236 62208 64314 64512 66696 69984 72576 75033 76224 81648 82944 85752 86016 88928 91854 93312 96471 96768 100044 101632 104976 108864 110592 114336 122472 124416 128628 129024 133392 139968 145152 150066 152448 157609 163296 165888 171504 177856 183708 186624 192942 193536 200088 203264 209952 217728 225099 228672 244944 248832 257256 258048 266784 279936 289413 290304 300132 304896 315218 326592 331776 343008 355712 367416 373248 385884 387072 400176 406528 419904 435456 450198 457344 472827 489888 497664 514512 533568 559872 578826 580608 600264 609792 630436 653184 675297 686016 711424 734832 746496 771768 774144 800352 813056 839808 868239 870912 900396 914688 945654 979776 995328 1029024 1067136 1103263 1119744 1157652 1161216 1200528 1219584 1260872 1306368 1350594 1372032 1418481 1422848 1469664 1492992 1543536 1600704 1626112 1679616 1736478 1741824 1800792 1829376 1891308 1959552 2025891 2058048 2134272 2206526 2239488 2315304 2322432 2401056 2439168 2521744 2604717 2612736 2701188 2744064 2836962 2845696 2939328 2985984 3087072 3201408 3309789 3359232 3472956 3483648 3601584 3658752 3782616 3919104 4051782 4116096 4255443 4268544 4413052 4478976 4630608 4802112 4878336 5043488 5209434 5225472 5402376 5488128 5673924 5691392 5878656 6077673 6174144 6402816 6619578 6718464 6945912 6967296 7203168 7317504 7565232 7838208 8103564 8232192 8510886 8537088 8826104 8957952 9261216 9604224 9929367 10086976 10418868 10450944 10804752 10976256 11347848 11382784 11757312 12155346 12348288 12766329 12805632 13239156 13436928 13891824 14406336 14635008 15130464 15676416 16207128 16464384 17021772 17074176 17652208 18233019 18522432 19208448 19858734 20173952 20837736 20901888 21609504 21952512 22695696 23514624 24310692 24696576 25532658 25611264 26478312 26873856 27783648 28812672 29788101 30260928 31352832 32414256 32928768 34043544 34148352 35304416 36466038 37044864 38298987 38416896 39717468 40347904 41675472 43219008 43905024 45391392 47029248 48621384 49393152 51065316 51222528 52956624 55567296 57625344 59576202 60521856 62705664 64828512 65857536 68087088 70608832 72932076 74089728 76597974 76833792 79434936 80695808 83350944 86438016 89364303 90782784 94058496 97242768 98786304 102130632 102445056 105913248 111134592 114896961 115250688 119152404 121043712 129657024 131715072 136174176 141217664 145864152 148179456 153195948 153667584 158869872 161391616 166701888 172876032 178728606 181565568 188116992 194485536 197572608 204261264 211826496 222269184 229793922 230501376 238304808 242087424 259314048 268092909 272348352 282435328 291728304 296358912 306391896 307335168 317739744 322783232 333403776 344690883 345752064 357457212 363131136 388971072 395145216 408522528 423652992 444538368 459587844 461002752 476609616 484174848 518628096 536185818 544696704 564870656 583456608 592717824 612783792 635479488 645566464 666807552 689381766 691504128 714914424 726262272 777942144 804278727 817045056 847305984 889076736 919175688 922005504 953219232 968349696 1034072649 1037256192 1072371636 1089393408 1129741312 1166913216 1185435648 1225567584 1270958976 1333615104 1378763532 1383008256 1429828848 1452524544 1555884288 1608557454 1634090112 1694611968 1778153472 1838351376 1906438464 1936699392 2068145298 2074512384 2144743272 2178786816 2259482624 2333826432 2412836181 2451135168 2541917952 2667230208 2757527064 2766016512 2859657696 2905049088 3111768576 3217114908 3268180224 3389223936 3556306944 3676702752 3812876928 4136290596 4149024768 4289486544 4357573632 4518965248 4667652864 4825672362 4902270336 5083835904 5334460416 5515054128 5719315392 5810098176 6223537152 6434229816 6536360448 6778447872 7238508543 7353405504 7625753856 8272581192 8298049536 8578973088 8715147264 9335305728 9651344724 9804540672 10167671808 10668920832 11030108256 11438630784 12447074304 12868459632 13072720896 13556895744 14477017086 14706811008 15251507712 16545162384 17157946176 17430294528 18670611456 19302689448 19609081344 20335343616 22060216512 22877261568 24894148608 25736919264 26145441792 28954034172 29413622016 30503015424 33090324768 34315892352 37341222912 38605378896 39218162688 40670687232 44120433024 45754523136 51473838528 52290883584 57908068344 58827244032 61006030848 66180649536 68631784704 74682445824 77210757792 78436325376 88240866048 91509046272 102947677056 115816136688 117654488064 122012061696 132361299072 137263569408 154421515584 156872650752 176481732096 183018092544 205895354112 231632273376 235308976128 264722598144 274527138816 308843031168 352963464192 366036185088 411790708224 463264546752 470617952256 529445196288 549054277632 617686062336 705926928384 823581416448 926529093504 1058890392576 1098108555264 1235372124672 1411853856768 1647162832896 1853058187008 2117780785152 2470744249344 3294325665792 3706116374016 4235561570304 4941488498688 7412232748032 9882976997376 14824465496064 29648930992128
• Sum of all divisors σ(n): 101892559611336
• Sum of proper divisors (its aliquot sum) s(n): 72243628619208
• 29648930992128 is an abundant number, because the sum of its proper divisors (72243628619208) is greater than itself. Its abundance is 42594697627080

Bases of 29648930992128

• Binary: 110101111011100101101111111111111000000000000₂
• Hexadecimal: 0x1AF72DFFF000
• Base-36: AICJ40000

Squares and roots of 29648930992128

• 29648930992128 squared (29648930992128²) is 879059108975968230397968384
• 29648930992128 cubed (29648930992128³) is 26063162860030009415402645247704696881152
• The square root of 29648930992128 is 5445083.1942338585
• The cube root of 29648930992128 is 30950.6432730911

Scales and comparisons

• 29,648,930,992,128 seconds is equal to 942,744 years, 15 weeks, 2 days, 12 hours, 28 minutes, 48 seconds.
• To count from 1 to 29,648,930,992,128 would take you about two million, three hundred fifty-six thousand, eight hundred sixty 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 29648930992128 cubic inches would be around 2579.2 feet tall.

Recreational maths with 29648930992128

• 29648930992128 backwards is 82129903984692
• 29648930992128 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 29648930992128's digits is 72
• More coming soon!