34214890211072688

Names of 34214890211072688

• Cardinal: 34214890211072688 can be written as Thirty-four quadrillion, two hundred fourteen trillion, eight hundred ninety billion, two hundred eleven million, seventy-two thousand, six hundred eighty-eight.

Scientific notation

• Scientific notation: 3.4214890211072688 × 10¹⁶

Factors of 34214890211072688

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 932

Divisors of 34214890211072688

• Number of divisors d(n): 400
• Complete list of divisors:
  1 2 3 4 6 8 12 13 16 24 26 37 39 48 52 74 78 104 111 148 156 169 208 222 296 312 338 444 481 507 592 624 676 877 888 962 1014 1352 1443 1754 1776 1924 2028 2197 2631 2704 2886 3508 3848 4056 4394 5262 5772 6253 6591 7016 7696 8112 8788 10524 11401 11544 12506 13182 14032 17576 18759 21048 22802 23088 25012 26364 28561 32449 34203 35152 37518 42096 45604 50024 52728 57122 64898 68406 75036 81289 85683 91208 97347 100048 105456 114244 129796 136812 148213 150072 162578 171366 182416 194694 228488 243867 259592 273624 296426 300144 325156 342732 389388 421837 444639 456976 487734 519184 547248 592852 650312 685464 769129 778776 843674 889278 975468 1056757 1185704 1265511 1300624 1370928 1538258 1557552 1687348 1778556 1926769 1950936 2113514 2307387 2371408 2531022 3076516 3170271 3374696 3557112 3853538 3901872 4227028 4614774 5062044 5483881 5780307 6153032 6340542 6749392 7114224 7707076 8454056 9229548 9998677 10124088 10967762 11560614 12306064 12681084 15414152 16451643 16908112 18459096 19997354 20248176 21935524 23121228 25047997 25362168 28457773 29996031 30828304 32903286 36918192 39994708 43871048 46242456 50095994 50724336 56915546 59992062 65806572 71290453 75143991 79989416 85373319 87742096 92484912 100191988 113831092 119984124 129982801 131613144 142580906 150287982 159978832 170746638 200383976 213871359 227662184 239968248 259965602 263226288 285161812 300575964 341493276 369951049 389948403 400767952 427742718 455324368 479936496 519931204 570323624 601151928 674526133 682986552 739902098 779896806 855485436 926775889 1039862408 1109853147 1140647248 1202303856 1349052266 1365973104 1479804196 1559793612 1689776413 1710970872 1853551778 2023578399 2079724816 2219706294 2698104532 2780327667 2959608392 3119587224 3379552826 3421941744 3707103556 4047156798 4439412588 4809363637 5069329239 5396209064 5560655334 5919216784 6239174448 6759105652 7414207112 8094313596 8768839729 8878825176 9618727274 10138658478 10792418128 11121310668 13518211304 14428090911 14828414224 16188627192 17537679458 17757650352 19237454548 20277316956 21967093369 22242621336 24957466921 26306519187 27036422608 28856181822 32377254384 35075358916 38474909096 40554633912 43934186738 44485242672 49914933842 52613038374 57712363644 62521727281 65901280107 70150717832 74872400763 76949818192 81109267824 87868373476 99829867684 105226076748 113994916477 115424727288 125043454562 131802560214 140301435664 149744801526 175736746952 187565181843 199659735368 210452153496 227989832954 230849454576 250086909124 263605120428 299489603052 324447069973 341984749431 351473493904 375130363686 399319470736 420904306992 455979665908 500173818248 527210240856 598979206104 648894139946 683969498862 750260727372 812782454653 911959331816 973341209919 1000347636496 1054420481712 1197958412208 1297788279892 1367938997724 1481933914201 1500521454744 1625564909306 1823918663632 1946682419838 2438347363959 2595576559784 2735877995448 2963867828402 3001042909488 3251129818612 3893364839676 4217811909649 4445801742603 4876694727918 5191153119568 5471755990896 5927735656804 6502259637224 7786729679352 8435623819298 8891603485206 9753389455836 11855471313608 12653435728947 13004519274448 15573459358704 16871247638596 17783206970412 19265140884613 19506778911672 23710942627216 25306871457894 33742495277192 35566413940824 38530281769226 39013557823344 50613742915788 54831554825437 57795422653839 67484990554384 71132827881648 77060563538452 101227485831576 109663109650874 115590845307678 154121127076904 164494664476311 202454971663152 219326219301748 231181690615356 308242254153808 328989328952622 438652438603496 462363381230712 657978657905244 712810212730681 877304877206992 924726762461424 1315957315810488 1425620425461362 2138430638192043 2631914631620976 2851240850922724 4276861276384086 5702481701845448 8553722552768172 11404963403690896 17107445105536344 34214890211072688
• Sum of all divisors σ(n): 98454120032790880
• Sum of proper divisors (its aliquot sum) s(n): 64239229821718192
• 34214890211072688 is an abundant number, because the sum of its proper divisors (64239229821718192) is greater than itself. Its abundance is 30024339610645504

Bases of 34214890211072688

• Binary: 1111001100011100100001011101001000011110101101010110000₂
• Hexadecimal: 0x798E42E90F5AB0
• Base-36: 9CW5ZKLDWHC

Squares and roots of 34214890211072688

• 34214890211072688 squared (34214890211072688²) is 1170658712155757648400319619545344
• 34214890211072688 cubed (34214890211072688³) is 40053959311044991912009653272000157128733095964672
• The square root of 34214890211072688 is 184972674.2280402021
• The cube root of 34214890211072688 is 324642.2579153995

Scales and comparisons

• 34,214,890,211,072,688 seconds is equal to 1,087,927,675 years, 5 weeks, 4 days, 6 hours, 24 minutes, 48 seconds.
• To count from 1 to 34,214,890,211,072,688 would take you about three billion, two hundred sixty-three million, seven hundred eighty-three thousand and twenty-five 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 34214890211072688 cubic inches would be around 27053.5 feet tall.

Recreational maths with 34214890211072688

• 34214890211072688 backwards is 88627011209841243
• The number of decimal digits it has is: 17
• The sum of 34214890211072688's digits is 66
• More coming soon!