34428608508110976

Names of 34428608508110976

• Cardinal: 34428608508110976 can be written as Thirty-four quadrillion, four hundred twenty-eight trillion, six hundred eight billion, five hundred eight million, one hundred ten thousand, nine hundred seventy-six.

Scientific notation

• Scientific notation: 3.4428608508110976 × 10¹⁶

Factors of 34428608508110976

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 17408

Divisors of 34428608508110976

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 73 74 96 111 128 144 146 148 192 219 222 288 292 296 333 384 438 444 576 584 592 657 666 876 888 1152 1168 1184 1314 1332 1369 1752 1776 2336 2368 2628 2664 2701 2738 3504 3552 4107 4672 4736 5256 5328 5402 5476 7008 7104 8103 8214 9344 10512 10656 10804 10952 12321 14016 14208 16206 16428 17293 21024 21312 21608 21904 24309 24642 28032 32412 32856 34586 42048 42624 43216 43808 48618 49284 51879 64824 65712 69172 84096 86432 87616 97236 98568 99937 103758 129648 131424 138344 155637 172864 175232 194472 197136 199874 207516 259296 262848 276688 299811 311274 345728 388944 394272 399748 415032 518592 525696 553376 599622 622548 639841 777888 788544 799496 830064 899433 1037184 1106752 1199244 1245096 1262389 1279682 1555776 1577088 1598992 1660128 1798866 1919523 2213504 2398488 2490192 2524778 2559364 3111552 3197984 3320256 3597732 3787167 3839046 4796976 4980384 5049556 5118728 5758569 6395968 6640512 7195464 7574334 7678092 9593952 9960768 10099112 10237456 11361501 11517138 12791936 14390928 15148668 15356184 19187904 19921536 20198224 20474912 22723002 23034276 23674117 28781856 30297336 30712368 38375808 40396448 40949824 45446004 46068552 46708393 47348234 57563712 60594672 61424736 71022351 80792896 81899648 90892008 92137104 93416786 94696468 115127424 121189344 122849472 140125179 142044702 161585792 181784016 184274208 186833572 189392936 213067053 242378688 245698944 280250358 284089404 299047849 363568032 368548416 373667144 378785872 420375537 426134106 484757376 560500716 568178808 598095698 727136064 737096832 747334288 757571744 840751074 852268212 897143547 1121001432 1136357616 1196191396 1454272128 1494668576 1515143488 1681502148 1704536424 1728210541 1794287094 2242002864 2272715232 2392382792 2691430641 2989337152 3030286976 3363004296 3409072848 3456421082 3588574188 4484005728 4545430464 4784765584 5184631623 5382861282 5978674304 6726008592 6818145696 6912842164 7177148376 8968011456 9090860928 9569531168 10369263246 10765722564 11064770413 13452017184 13636291392 13825684328 14354296752 15553894869 17936022912 19139062336 20738526492 21531445128 21830492977 22129540826 26904034368 27272582784 27651368656 28708593504 31107789738 33194311239 38278124672 41477052984 43062890256 43660985954 44259081652 53808068736 55302737312 57417187008 62215579476 65491478931 66388622478 82954105968 86125780512 87321971908 88518163304 99582933717 110605474624 114834374016 124431158952 130982957862 132777244956 165908211936 172251561024 174643943816 177036326608 196474436793 199165867434 221210949248 248862317904 261965915724 265554489912 331816423872 344503122048 349287887632 354072653216 392948873586 398331734868 409396505281 497724635808 523931831448 531108979824 663632847744 698575775264 708145306432 785897747172 796663469736 807728240149 818793010562 995449271616 1047863662896 1062217959648 1228189515843 1397151550528 1416290612864 1571795494344 1593326939472 1615456480298 1637586021124 1990898543232 2095727325792 2124435919296 2423184720447 2456379031686 2794303101056 3143590988688 3186653878944 3230912960596 3275172042248 3684568547529 4191454651584 4248871838592 4846369440894 4912758063372 6287181977376 6373307757888 6461825921192 6550344084496 7269554161341 7369137095058 8382909303168 9692738881788 9825516126744 12574363954752 12746615515776 12923651842384 13100688168992 14539108322682 14738274190116 19385477763576 19651032253488 25148727909504 25847303684768 26201376337984 29078216645364 29476548380232 29885944885513 38770955527152 39302064506976 51694607369536 52402752675968 58156433290728 58953096760464 59771889771026 77541911054304 78604129013952 89657834656539 103389214739072 116312866581456 117906193520928 119543779542052 155083822108608 157208258027904 179315669313078 232625733162912 235812387041856 239087559084104 268973503969617 310167644217216 358631338626156 465251466325824 471624774083712 478175118168208 537947007939234 717262677252312 930502932651648 956350236336416 1075894015878468 1434525354504624 1912700472672832 2151788031756936 2869050709009248 3825400945345664 4303576063513872 5738101418018496 8607152127027744 11476202836036992 17214304254055488 34428608508110976
• Sum of all divisors σ(n): 103222684012667310
• Sum of proper divisors (its aliquot sum) s(n): 68794075504556334
• 34428608508110976 is an abundant number, because the sum of its proper divisors (68794075504556334) is greater than itself. Its abundance is 34365466996445358

Bases of 34428608508110976

• Binary: 1111010010100001010001100010100001111001010100010000000₂
• Hexadecimal: 0x7A50A3143CA880
• Base-36: 9EZX8EHEE80

Squares and roots of 34428608508110976

• 34428608508110976 squared (34428608508110976²) is 1185329083804771484579579931672576
• 34428608508110976 cubed (34428608508110976³) is 40809230979592343625396634758921212206373903794176
• The square root of 34428608508110976 is 185549477.2509773903
• The cube root of 34428608508110976 is 325316.7988129889

Scales and comparisons

• 34,428,608,508,110,976 seconds is equal to 1,094,723,255 years, 45 weeks, 5 days, 4 hours, 9 minutes, 36 seconds.
• To count from 1 to 34,428,608,508,110,976 would take you about three billion, two hundred eighty-four million, one hundred sixty-nine thousand, seven hundred sixty-seven 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 34428608508110976 cubic inches would be around 27109.7 feet tall.

Recreational maths with 34428608508110976

• 34428608508110976 backwards is 67901180580682443
• 34428608508110976 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 34428608508110976's digits is 72
• More coming soon!