34249008392107128

Names of 34249008392107128

• Cardinal: 34249008392107128 can be written as Thirty-four quadrillion, two hundred forty-nine trillion, eight billion, three hundred ninety-two million, one hundred seven thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 3.4249008392107128 × 10¹⁶

Factors of 34249008392107128

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 1979

Divisors of 34249008392107128

• Number of divisors d(n): 448
• Complete list of divisors:
  1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 113 162 216 226 243 324 339 452 486 648 678 729 904 972 1017 1356 1458 1861 1944 2034 2187 2712 2916 3051 3722 4068 4374 5583 5832 6102 6561 7444 8136 8748 9153 11166 12204 12769 13122 14888 16749 17496 18306 19683 22332 24408 25538 26244 27459 33498 36612 38307 39366 44664 50247 51076 52488 54918 59049 66996 73224 76614 78732 82377 100494 102152 109836 114921 118098 133992 150741 153228 157464 164754 177147 200988 210293 219672 229842 236196 247131 301482 306456 329508 344763 354294 401976 420586 452223 459684 472392 494262 531441 602964 630879 659016 689526 708588 741393 841172 904446 919368 988524 1034289 1062882 1205928 1261758 1356669 1379052 1417176 1442897 1482786 1594323 1682344 1808892 1892637 1977048 2068578 2125764 2224179 2523516 2713338 2758104 2885794 2965572 3102867 3188646 3617784 3785274 4070007 4137156 4251528 4328691 4448358 5047032 5426676 5677911 5771588 5931144 6205734 6377292 6672537 7570548 8140014 8274312 8657382 8896716 9308601 10853352 11355822 11543176 12210021 12411468 12754584 12986073 13345074 15141096 16280028 17033733 17314764 17793432 18617202 20017611 22711644 23763109 24420042 24822936 25972146 26690148 27925803 32560056 34067466 34629528 36630063 37234404 38958219 40035222 45423288 47526218 48840084 51101199 51944292 53380296 55851606 60052833 68134932 71289327 73260126 74468808 77916438 80070444 83777409 95052436 97680168 102202398 103888584 109890189 111703212 116874657 120105666 136269864 142578654 146520252 153303597 155832876 160140888 167554818 180158499 190104872 204404796 213867981 219780378 223406424 233749314 240211332 251332227 285157308 293040504 306607194 311665752 329670567 335109636 350623971 360316998 408809592 427735962 439560756 459910791 467498628 480422664 502664454 570314616 613214388 641603943 659341134 670219272 701247942 720633996 753996681 855471924 879121512 919821582 934997256 989011701 1005328908 1051871913 1226428776 1283207886 1318682268 1379732373 1402495884 1441267992 1507993362 1710943848 1839643164 1924811829 1978023402 2010657816 2103743826 2261990043 2566415772 2637364536 2685231317 2759464746 2804991768 2967035103 3015986724 3155615739 3679286328 3849623658 3956046804 4139197119 4207487652 4523980086 5132831544 5370462634 5518929492 5774435487 5934070206 6031973448 6311231478 6785970129 7699247316 7912093608 8055693951 8278394238 8414975304 9047960172 9466847217 10740925268 11037858984 11548870974 11868140412 12417591357 12622462956 13571940258 15398494632 16111387902 16556788476 17323306461 18095920344 18933694434 20357910387 21481850536 23097741948 23736280824 24167081853 24835182714 25244925912 27143880516 28400541651 32222775804 33113576952 34646612922 37252774071 37867388868 40715820774 46195483896 48334163706 49670365428 51969919383 54287761032 56801083302 64445551608 69293225844 72501245559 74505548142 75734777736 81431641548 85201624953 96668327412 99340730856 103939838766 111758322213 113602166604 138586451688 145002491118 149011096284 155909758149 162863283096 170403249906 193336654824 207879677532 217503736677 223516644426 227204333208 255604874859 290004982236 298022192568 311819516298 335274966639 340806499812 415759355064 435007473354 447033288852 467729274447 511209749718 580009964472 623639032596 652511210031 670549933278 681612999624 766814624577 870014946708 894066577704 935458548894 1022419499436 1247278065192 1305022420062 1341099866556 1403187823341 1533629249154 1740029893416 1870917097788 1957533630093 2044838998872 2300443873731 2610044840124 2682199733112 2806375646682 3067258498308 3741834195576 3915067260186 4209563470023 4600887747462 5220089680248 5612751293364 5872600890279 6134516996616 7830134520372 8419126940046 9201775494924 11225502586728 11745201780558 12628690410069 15660269040744 16838253880092 17617802670837 18403550989848 23490403561116 25257380820138 33676507760184 35235605341674 37886071230207 46980807122232 50514761640276 52853408012511 70471210683348 75772142460414 101029523280552 105706816025022 140942421366696 151544284920828 158560224037533 211413632050044 303088569841656 317120448075066 422827264100088 475680672112599 634240896150132 951361344225198 1268481792300264 1427042016337797 1902722688450396 2854084032675594 3805445376900792 4281126049013391 5708168065351188 8562252098026782 11416336130702376 17124504196053564 34249008392107128
• Sum of all divisors σ(n): 97237584950133600
• Sum of proper divisors (its aliquot sum) s(n): 62988576558026472
• 34249008392107128 is an abundant number, because the sum of its proper divisors (62988576558026472) is greater than itself. Its abundance is 28739568165919344

Bases of 34249008392107128

• Binary: 1111001101011010100101010101011000111101111010001111000₂
• Hexadecimal: 0x79AD4AAB1EF478
• Base-36: 9D89D8XGVI0

Squares and roots of 34249008392107128

• 34249008392107128 squared (34249008392107128²) is 1172994575842624481206047828408384
• 34249008392107128 cubed (34249008392107128³) is 40173901071930186891051447031734761110920261361152
• The square root of 34249008392107128 is 185064876.1707826827
• The cube root of 34249008392107128 is 324750.1302838803

Scales and comparisons

• 34,249,008,392,107,128 seconds is equal to 1,089,012,527 years, 37 weeks, 6 days, 19 hours, 58 minutes, 48 seconds.
• To count from 1 to 34,249,008,392,107,128 would take you about three billion, two hundred sixty-seven million, thirty-seven thousand, five hundred eighty-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 34249008392107128 cubic inches would be around 27062.5 feet tall.

Recreational maths with 34249008392107128

• 34249008392107128 backwards is 82170129380094243
• The number of decimal digits it has is: 17
• The sum of 34249008392107128's digits is 63
• More coming soon!