34438894575813

Names of 34438894575813

• Cardinal: 34438894575813 can be written as Thirty-four trillion, four hundred thirty-eight billion, eight hundred ninety-four million, five hundred seventy-five thousand, eight hundred thirteen.

Scientific notation

• Scientific notation: 3.4438894575813 × 10¹³

Factors of 34438894575813

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 300

Divisors of 34438894575813

• Number of divisors d(n): 720
• Complete list of divisors:
  1 3 7 9 13 17 19 21 27 39 51 57 63 81 91 117 119 133 153 169 171 189 221 241 243 247 273 323 351 357 361 399 459 507 513 567 663 723 729 741 819 969 1053 1071 1083 1183 1197 1377 1521 1539 1547 1687 1701 1729 1989 2169 2187 2223 2261 2457 2527 2873 2907 3133 3159 3211 3213 3249 3549 3591 4097 4131 4199 4563 4579 4617 4641 4693 5061 5103 5187 5967 6137 6507 6561 6669 6783 7371 7581 8619 8721 9399 9477 9633 9639 9747 10647 10773 12291 12393 12597 13689 13737 13851 13923 14079 15183 15309 15561 17901 18411 19521 19683 20007 20111 20349 21931 22113 22477 22743 25857 26163 28197 28431 28679 28899 28917 29241 29393 31941 32053 32319 32851 36873 37179 37791 40729 41067 41211 41553 41769 42237 42959 45549 45927 46683 53261 53703 54587 55233 58563 59527 60021 60333 61009 61047 65793 66339 67431 68229 77571 77843 78489 79781 84591 85293 86037 86697 86751 87001 87723 88179 95823 96159 96957 98553 110619 111537 113373 122187 123201 123633 124659 125307 126711 128877 136647 137781 140049 159783 161109 163761 165699 175689 178581 180063 180999 183027 183141 197379 199017 202293 204687 232713 233529 235467 239343 253773 255879 258111 260091 260253 261003 263169 264537 285103 287469 288477 290871 295659 331857 334611 340119 366561 369603 370899 372827 373977 375921 380133 382109 386631 409941 416689 420147 427063 479349 483327 491283 497097 527067 535743 540189 542997 544901 549081 549423 558467 592137 597051 606879 609007 614061 692393 698139 700587 706401 718029 761319 773851 774333 780273 780759 783009 789507 793611 855309 862407 865431 872613 886977 995571 1011959 1020357 1037153 1099683 1108809 1112697 1118481 1127763 1131013 1140399 1146327 1159893 1229823 1250067 1260441 1281189 1438047 1449981 1473849 1479017 1491291 1581201 1607229 1620567 1628991 1634703 1647243 1648269 1675401 1776411 1791153 1820637 1827021 1842183 2077179 2094417 2101761 2119203 2154087 2283957 2321553 2322999 2340819 2342277 2349027 2368521 2380833 2565927 2587221 2596293 2617839 2660931 2986713 3035877 3061071 3111459 3299049 3326427 3338091 3355443 3383289 3393039 3421197 3438981 3479679 3689469 3750201 3781323 3843567 4314141 4349943 4421547 4437051 4473873 4743603 4821687 4846751 4861701 4886973 4904109 4941729 4944807 5026203 5329233 5416957 5461911 5481063 5526549 6231537 6283251 6305283 6357609 6462261 6851871 6964659 6968997 7022457 7047081 7083713 7105563 7142499 7260071 7697781 7761663 7788879 7917091 7982793 8960139 9107631 9183213 9334377 9897147 10014273 10066329 10149867 10179117 10263591 10316943 10353119 10439037 11068407 11250603 11343969 11530701 12942423 13155467 13264641 13311153 13421619 14465061 14540253 14660919 14703169 14712327 14825187 14834421 15078609 15987699 16250871 16385733 16443189 16579647 18694611 18849753 18915849 19227221 19386783 20555613 20893977 20906991 21067371 21141243 21251139 21427497 21780213 23093343 23284989 23366637 23751273 23948379 26880417 27322893 27549639 28003131 29691441 30042819 30198987 30449601 30537351 30790773 30950829 31059357 31317111 33205221 33751809 34031907 34592103 38827269 39466401 39793923 39933459 40264857 43395183 43620759 43982757 44109507 44136981 44475561 44503263 45235827 47963097 48752613 49157199 49329567 49738941 56083833 56549259 56747547 57681663 58160349 61666839 62681931 62720973 63202113 63423729 63753417 64282491 65340639 69280029 70099911 71253819 71845137 80641251 81968679 82648917 84009393 89074323 90128457 90596961 91612053 92088269 92372319 92852487 93178071 93951333 101255427 102922183 103776309 116481807 118399203 119381769 119800377 120794571 130185549 130862277 131948271 132328521 132410943 133426683 134590547 135707481 143889291 146257839 147471597 147988701 168251499 170242641 173044989 174481047 188045793 188162919 190271187 191260251 192847473 196021917 207840087 210299733 213761457 215535411 245906037 249953873 252028179 267222969 271790883 274836159 276264807 278557461 279534213 281853999 303766281 308766549 311328927 349445421 355197609 358145307 359401131 390556647 392586831 395844813 396985563 397232829 400280049 403771641 407122443 431667873 438773517 442414791 443966103 504754497 510727923 519134967 523443141 564137379 564488757 570813561 573780753 578542419 588065751 623520261 630899199 641284371 646606233 737718111 749861619 756084537 801668907 815372649 824508477 828794421 835672383 838602639 845561997 911298843 926299647 933986781 1048336263 1065592827 1074435921 1078203393 1171669941 1177760493 1190956689 1191698487 1200840147 1211314923 1221367329 1316320551 1331898309 1514263491 1532183769 1557404901 1570329423 1692412137 1712440683 1721342259 1749677111 1764197253 1870560783 1923853113 2213154333 2249584857 2268253611 2446117947 2473525431 2486383263 2507017149 2515807917 2733896529 2778898941 2801960343 3196778481 3234610179 3533281479 3572870067 3575095461 3633944769 3664101987 3948961653 3995694927 4542790473 4672214703 5077236411 5164026777 5249031333 5292591759 5611682349 5771559339 6639462999 6748754571 6804760833 7338353841 7420576293 7459149789 7521051447 7547423751 8201689587 8336696823 8405881029 9590335443 9703830537 10599844437 10718610201 10725286383 10901834307 10992305961 11846884959 11987084781 13628371419 14016644109 15231709233 15492080331 15747093999 15877775277 17314678017 19918388997 20246263713 20414282499 22261728879 22377449367 22642271253 25010090469 28771006329 29111491611 31799533311 32155830603 32705502921 35540654877 42049932327 46476240993 47241281997 47633325831 51944034051 60738791139 67132348101 67926813759 75030271407 86313018987 95398599933 96467491809 98116508763 106621964631 126149796981 139428722979 141723845991 142899977493 155832102153 182216373417 201397044303 203780441277 225090814221 258939056961 289402475427 294349526289 378449390943 425171537973 546649120251 604191132909 675272442663 883048578867 1275514613919 1639947360753 1812573398727 2025817327989 2649145736601 3826543841757 4919842082259 11479631525271 34438894575813
• Sum of all divisors σ(n): 71734672538496
• Sum of proper divisors (its aliquot sum) s(n): 37295777962683
• 34438894575813 is an abundant number, because the sum of its proper divisors (37295777962683) is greater than itself. Its abundance is 2856883386870

Bases of 34438894575813

• Binary: 111110101001001101110000100111110000011000101₂
• Hexadecimal: 0x1F526E13E0C5
• Base-36: C7H0CN7B9

Squares and roots of 34438894575813

• 34438894575813 squared (34438894575813²) is 1186037459603962073204610969
• 34438894575813 cubed (34438894575813³) is 40845819034265919546050050730794941892797
• The square root of 34438894575813 is 5868466.1178039531
• The cube root of 34438894575813 is 32534.9193358995

Scales and comparisons

• 34,438,894,575,813 seconds is equal to 1,095,050 years, 16 weeks, 4 days, 20 hours, 23 minutes, 33 seconds.
• To count from 1 to 34,438,894,575,813 would take you about two million, seven hundred thirty-seven thousand, six hundred 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 34438894575813 cubic inches would be around 2711.2 feet tall.

Recreational maths with 34438894575813

• 34438894575813 backwards is 31857549883443
• The number of decimal digits it has is: 14
• The sum of 34438894575813's digits is 72
• More coming soon!