34328411804024640

Names of 34328411804024640

• Cardinal: 34328411804024640 can be written as Thirty-four quadrillion, three hundred twenty-eight trillion, four hundred eleven billion, eight hundred four million, twenty-four thousand, six hundred forty.

Scientific notation

• Scientific notation: 3.432841180402464 × 10¹⁶

Factors of 34328411804024640

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 341

Divisors of 34328411804024640

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 331 360 432 480 540 576 662 720 864 960 993 1080 1324 1440 1655 1728 1986 2160 2648 2880 2979 3310 3972 4320 4965 5296 5958 6620 7944 8640 8937 9930 10592 11916 13240 14895 15888 17874 19860 21184 23832 26480 29790 31776 35748 39720 44685 47664 52960 59580 63552 71496 79440 89370 95328 105920 109561 119160 142992 158880 178740 190656 219122 238320 285984 317760 328683 357480 438244 476640 547805 571968 657366 714960 876488 953280 986049 1095610 1314732 1429920 1643415 1752976 1972098 2191220 2629464 2859840 2958147 3286830 3505952 3944196 4382440 4930245 5258928 5916294 6573660 7011904 7888392 8764880 9860490 10517856 11832588 13147320 14790735 15776784 17529760 19720980 21035712 23665176 26294640 29581470 31553568 35059520 36264691 39441960 47330352 52589280 59162940 63107136 72529382 78883920 94660704 105178560 108794073 118325880 145058764 157767840 181323455 189321408 217588146 236651760 290117528 315535680 326382219 362646910 435176292 473303520 543970365 580235056 652764438 725293820 870352584 946607040 979146657 1087940730 1160470112 1305528876 1450587640 1631911095 1740705168 1958293314 2175881460 2320940224 2611057752 2901175280 3263822190 3481410336 3916586628 4351762920 4895733285 5222115504 5802350560 6527644380 6962820672 7833173256 8703525840 9791466570 10444231008 11604701120 12003612721 13055288760 15666346512 17407051680 19582933140 20888462016 24007225442 26110577520 31332693024 34814103360 36010838163 39165866280 48014450884 52221155040 60018063605 62665386048 72021676326 78331732560 96028901768 104442310080 108032514489 120036127210 144043352652 156663465120 180054190815 192057803536 216065028978 240072254420 288086705304 313326930240 324097543467 360108381630 384115607072 432130057956 480144508840 540162572445 576173410608 648195086934 720216763260 768231214144 864260115912 960289017680 1080325144890 1152346821216 1296390173868 1440433526520 1620487717335 1728520231824 1920578035360 2160650289780 2304693642432 2592780347736 2880867053040 3240975434670 3457040463648 3841156070720 3973195810651 4321300579560 5185560695472 5761734106080 6481950869340 6914080927296 7946391621302 8642601159120 10371121390944 11523468212160 11919587431953 12963901738680 15892783242604 17285202318240 19865979053255 20742242781888 23839174863906 25927803477360 31785566485208 34570404636480 35758762295859 39731958106510 47678349727812 51855606954720 59597937159765 63571132970416 71517524591718 79463916213020 95356699455624 103711213909440 107276286887577 119195874319530 127142265940832 143035049183436 158927832426040 178793811479295 190713398911248 214552573775154 238391748639060 254284531881664 286070098366872 317855664852080 357587622958590 381426797822496 429105147550308 476783497278120 536381434437885 572140196733744 635711329704160 715175245917180 762853595644992 858210295100616 953566994556240 1072762868875770 1144280393467488 1271422659408320 1430350491834360 1716420590201232 1907133989112480 2145525737751540 2288560786934976 2860700983668720 3432841180402464 3814267978224960 4291051475503080 5721401967337440 6865682360804928 8582102951006160 11442803934674880 17164205902012320 34328411804024640
• Sum of all divisors σ(n): 121469987121698880
• Sum of proper divisors (its aliquot sum) s(n): 87141575317674240
• 34328411804024640 is an abundant number, because the sum of its proper divisors (87141575317674240) is greater than itself. Its abundance is 52813163513649600

Bases of 34328411804024640

• Binary: 1111001111101011000001000110111010010000011111101000000₂
• Hexadecimal: 0x79F58237483F40
• Base-36: 9E0EMO6SEO0

Squares and roots of 34328411804024640

• 34328411804024640 squared (34328411804024640²) is 1178439856986698238549701727129600
• 34328411804024640 cubed (34328411804024640³) is 40453968696915280441291740854872812328354873344000
• The square root of 34328411804024640 is 185279280.5578234103
• The cube root of 34328411804024640 is 325000.9050989379

Scales and comparisons

• 34,328,411,804,024,640 seconds is equal to 1,091,537,310 years, 32 weeks, 1 day, 2 hours, 24 minutes.
• To count from 1 to 34,328,411,804,024,640 would take you about three billion, two hundred seventy-four million, six hundred eleven thousand, nine hundred thirty-one 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 34328411804024640 cubic inches would be around 27083.4 feet tall.

Recreational maths with 34328411804024640

• 34328411804024640 backwards is 04642040811482343
• 34328411804024640 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 34328411804024640's digits is 54
• More coming soon!