3459404997457920

Names of 3459404997457920

• Cardinal: 3459404997457920 can be written as Three quadrillion, four hundred fifty-nine trillion, four hundred four billion, nine hundred ninety-seven million, four hundred fifty-seven thousand, nine hundred twenty.

Scientific notation

• Scientific notation: 3.45940499745792 × 10¹⁵

Factors of 3459404997457920

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 1516241

Divisors of 3459404997457920

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 42 45 48 54 56 60 63 64 70 72 80 81 84 90 96 105 108 112 120 126 128 131 135 140 144 160 162 168 180 189 192 210 216 224 240 243 252 256 262 270 280 288 315 320 324 336 360 378 384 393 405 420 432 448 480 486 504 512 524 540 560 567 576 630 640 648 655 672 720 756 768 786 810 840 864 896 917 945 960 972 1008 1024 1048 1080 1120 1134 1152 1179 1215 1260 1280 1296 1310 1344 1440 1512 1536 1572 1620 1680 1701 1728 1792 1834 1890 1920 1944 1965 2016 2048 2096 2160 2240 2268 2304 2358 2430 2520 2560 2592 2620 2688 2751 2835 2880 3024 3072 3144 3240 3360 3402 3456 3537 3584 3668 3780 3840 3888 3930 4032 4192 4320 4480 4536 4585 4608 4716 4860 5040 5120 5184 5240 5376 5502 5670 5760 5895 6048 6144 6288 6480 6720 6804 6912 7074 7168 7336 7560 7680 7776 7860 8064 8253 8384 8505 8640 8960 9072 9170 9216 9432 9720 10080 10240 10368 10480 10611 10752 11004 11340 11520 11790 12096 12576 12960 13440 13608 13755 13824 14148 14336 14672 15120 15360 15552 15720 16128 16506 16768 17010 17280 17685 17920 18144 18340 18432 18864 19440 20160 20736 20960 21222 21504 22008 22680 23040 23580 24192 24759 25152 25920 26880 27216 27510 27648 28296 29344 30240 30720 31104 31440 31833 32256 33012 33536 34020 34560 35370 35840 36288 36680 37728 38880 40320 41265 41472 41920 42444 43008 44016 45360 46080 47160 48384 49518 50304 51840 53055 53760 54432 55020 55296 56592 58688 60480 62208 62880 63666 64512 66024 67072 68040 69120 70740 71680 72576 73360 74277 75456 77760 80640 82530 82944 83840 84888 88032 90720 92160 94320 96768 99036 100608 103680 106110 107520 108864 110040 113184 117376 120960 123795 124416 125760 127332 129024 132048 134144 136080 138240 141480 145152 146720 148554 150912 155520 159165 161280 165060 165888 167680 169776 176064 181440 188640 193536 198072 201216 207360 212220 215040 217728 220080 222831 226368 234752 241920 247590 248832 251520 254664 264096 268288 272160 276480 282960 290304 293440 297108 301824 311040 318330 322560 330120 335360 339552 352128 362880 371385 377280 387072 396144 402432 414720 424440 435456 440160 445662 452736 469504 483840 495180 497664 503040 509328 528192 544320 565920 580608 586880 594216 603648 622080 636660 645120 660240 670720 679104 704256 725760 742770 754560 792288 804864 829440 848880 870912 880320 891324 905472 939008 967680 990360 1006080 1018656 1056384 1088640 1114155 1131840 1161216 1173760 1188432 1207296 1244160 1273320 1320480 1341440 1358208 1408512 1451520 1485540 1509120 1516093 1584576 1697760 1741824 1760640 1782648 1810944 1878016 1935360 1980720 2012160 2037312 2112768 2177280 2228310 2263680 2347520 2376864 2414592 2488320 2546640 2640960 2716416 2817024 2903040 2971080 3018240 3032186 3169152 3395520 3483648 3521280 3565296 3621888 3961440 4024320 4074624 4225536 4354560 4456620 4527360 4548279 4695040 4753728 5093280 5281920 5432832 5634048 5806080 5942160 6036480 6064372 6338304 6791040 7042560 7130592 7243776 7580465 7922880 8149248 8451072 8709120 8913240 9054720 9096558 9390080 9507456 10186560 10563840 10612651 10865664 11884320 12072960 12128744 12676608 13582080 13644837 14085120 14261184 15160930 15845760 16298496 16902144 17418240 17826480 18109440 18193116 19014912 20373120 21127680 21225302 21731328 22741395 23768640 24257488 25353216 27164160 27289674 28170240 28522368 30321860 31691520 31837953 32596992 35652960 36218880 36386232 38029824 40746240 40934511 42255360 42450604 45482790 47537280 48514976 50706432 53063255 54328320 54579348 57044736 60643720 63383040 63675906 65193984 68224185 71305920 72772464 76059648 81492480 81869022 84510720 84901208 90965580 95074560 95513859 97029952 106126510 108656640 109158696 114089472 121287440 122803533 126766080 127351812 136448370 142611840 145544928 152119296 159189765 162984960 163738044 169802416 181931160 190149120 191027718 194059904 198608183 204672555 212253020 218317392 228178944 242574880 245607066 253532160 254703624 272896740 285223680 286541577 291089856 318379530 325969920 327476088 339604832 363862320 368410599 380298240 382055436 388119808 397216366 409345110 424506040 436634784 456357888 477569295 485149760 491214132 509407248 545793480 570447360 573083154 582179712 595824549 614017665 636759060 654952176 679209664 727724640 736821198 760596480 764110872 776239616 794432732 818690220 849012080 859624731 873269568 955138590 970299520 982428264 993040915 1018814496 1091586960 1140894720 1146166308 1164359424 1191649098 1228035330 1273518120 1309904352 1358419328 1390257281 1432707885 1455449280 1473642396 1528221744 1552479232 1588865464 1637380440 1698024160 1719249462 1746539136 1787473647 1842052995 1910277180 1940599040 1964856528 1986081830 2037628992 2183173920 2281789440 2292332616 2328718848 2383298196 2456070660 2547036240 2578874193 2619808704 2716838656 2780514562 2865415770 2910898560 2947284792 2979122745 3056443488 3104958464 3177730928 3274760880 3396048320 3438498924 3493078272 3574947294 3684105990 3820554360 3881198080 3929713056 3972163660 4075257984 4170771843 4298123655 4366347840 4584665232 4657437696 4766596392 4912141320 5094072480 5157748386 5239617408 5362420941 5433677312 5561029124 5730831540 5821797120 5894569584 5958245490 6112886976 6355461856 6549521760 6792096640 6876997848 6951286405 6986156544 7149894588 7368211980 7641108720 7762396160 7859426112 7944327320 8150515968 8341543686 8596247310 8732695680 8937368235 9169330464 9314875392 9533192784 9824282640 10188144960 10315496772 10479234816 10724841882 10867354624 11122058248 11461663080 11643594240 11789139168 11916490980 12225773952 12512315529 12710923712 12894370965 13099043520 13584193280 13753995696 13902572810 13972313088 14299789176 14736423960 15282217440 15524792320 15718852224 15888654640 16087262823 16301031936 16683087372 17192494620 17465391360 17874736470 18338660928 19066385568 19648565280 20376289920 20630993544 20853859215 20958469632 21449683764 21734709248 22244116496 22923326160 23287188480 23578278336 23832981960 24451547904 25024631058 25421847424 25788741930 26198087040 26812104705 27168386560 27507991392 27805145620 27944626176 28599578352 29472847920 30564434880 31437704448 31777309280 32174525646 32602063872 33366174744 34384989240 34930782720 35749472940 36677321856 37536946587 38132771136 39297130560 40752579840 41261987088 41707718430 41916939264 42899367528 44488232992 45846652320 46574376960 47156556672 47665963920 48261788469 48903095808 50049262116 50843694848 51577483860 52396174080 53624209410 54336773120 55015982784 55610291240 57199156704 58945695840 61128869760 62561577645 62875408896 63554618560 64349051292 65204127744 66732349488 68769978480 69861565440 71498945880 73354643712 75073893174 76265542272 78594261120 80436314115 81505159680 82523974176 83415436860 83833878528 85798735056 88976465984 91693304640 94313113344 95331927840 96523576938 97806191616 100098524232 101687389696 103154967720 104792348160 107248418820 108673546240 110031965568 111220582480 112610839761 114398313408 117891391680 122257739520 125123155290 125750817792 127109237120 128698102584 133464698976 137539956960 139723130880 142997891760 146709287424 150147786348 152531084544 157188522240 160872628230 163010319360 165047948352 166830873720 171597470112 177952931968 183386609280 187684732935 188626226688 190663855680 193047153876 195612383232 200197048464 203374779392 206309935440 209584696320 214496837640 220063931136 222441164960 225221679522 228796626816 235782783360 241308942345 244515479040 250246310580 251501635584 254218474240 257396205168 266929397952 275079913920 285995783520 293418574848 300295572696 305062169088 314377044480 321745256460 326020638720 330095896704 333661747440 337832519283 343194940224 355905863936 366773218560 375369465870 377252453376 381327711360 386094307752 400394096928 406749558784 412619870880 419169392640 428993675280 440127862272 444882329920 450443359044 457593253632 471565566720 482617884690 489030958080 500492621160 508436948480 514792410336 533858795904 550159827840 563054198805 571991567040 586837149696 600591145392 610124338176 628754088960 643490512920 660191793408 667323494880 675665038566 686389880448 711811727872 733546437120 750738931740 754504906752 762655422720 772188615504 800788193856 825239741760 857987350560 880255724544 889764659840 900886718088 915186507264 943131133440 965235769380 978061916160 1000985242320 1016873896960 1029584820672 1067717591808 1100319655680 1126108397610 1143983134080 1201182290784 1220248676352 1257508177920 1286981025840 1320383586816 1334646989760 1351330077132 1372779760896 1423623455744 1467092874240 1501477863480 1525310845440 1544377231008 1601576387712 1650479483520 1689162596415 1715974701120 1760511449088 1779529319680 1801773436176 1830373014528 1886262266880 1930471538760 2001970484640 2033747793920 2059169641344 2135435183616 2200639311360 2252216795220 2287966268160 2402364581568 2573962051680 2640767173632 2669293979520 2702660154264 2745559521792 2847246911488 2934185748480 3002955726960 3050621690880 3088754462016 3203152775424 3300958967040 3378325192830 3431949402240 3559058639360 3603546872352 3660746029056 3772524533760 3860943077520 4003940969280 4118339282688 4270870367232 4401278622720 4504433590440 4575932536320 4804729163136 5147924103360 5281534347264 5338587959040 5405320308528 5491119043584 6005911453920 6101243381760 6177508924032 6406305550848 6601917934080 6756650385660 6863898804480 7118117278720 7207093744704 7721886155040 8007881938560 8236678565376 8541740734464 8802557245440 9008867180880 9151865072640 9609458326272 10295848206720 10677175918080 10810640617056 10982238087168 12011822907840 12355017848064 12812611101696 13203835868160 13513300771320 13727797608960 14236234557440 14414187489408 15443772310080 16015763877120 16473357130752 18017734361760 18303730145280 19218916652544 20591696413440 21354351836160 21621281234112 24023645815680 24710035696128 25625222203392 26407671736320 27026601542640 27455595217920 28828374978816 30887544620160 32031527754240 32946714261504 36035468723520 38437833305088 41183392826880 42708703672320 43242562468224 48047291631360 49420071392256 54053203085280 54911190435840 57656749957632 61775089240320 64063055508480 72070937447040 76875666610176 82366785653760 86485124936448 96094583262720 98840142784512 108106406170560 115313499915264 123550178480640 128126111016960 144141874894080 164733571307520 172970249872896 192189166525440 216212812341120 230626999830528 247100356961280 288283749788160 345940499745792 384378333050880 432425624682240 494200713922560 576567499576320 691880999491584 864851249364480 1153134999152640 1729702498728960 3459404997457920
• Sum of all divisors σ(n): 14318469123678720
• Sum of proper divisors (its aliquot sum) s(n): 10859064126220800
• 3459404997457920 is an abundant number, because the sum of its proper divisors (10859064126220800) is greater than itself. Its abundance is 7399659128762880

Bases of 3459404997457920

• Binary: 1100010010100100111101111110000000011111100000000000₂
• Hexadecimal: 0xC4A4F7E01F800
• Base-36: Y298PSAO00

Squares and roots of 3459404997457920

• 3459404997457920 squared (3459404997457920²) is 11967482936436831481662170726400
• 3459404997457920 cubed (3459404997457920³) is 41400370277301957988762181148858021039833088000
• The square root of 3459404997457920 is 58816706.7886150865
• The cube root of 3459404997457920 is 151240.1627910541

Scales and comparisons

• 3,459,404,997,457,920 seconds is equal to 109,998,378 years, 14 weeks, 2 days, 19 hours, 12 minutes.
• To count from 1 to 3,459,404,997,457,920 would take you about three hundred twenty-nine million, nine hundred ninety-five thousand, one hundred thirty-four 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 3459404997457920 cubic inches would be around 12603.3 feet tall.

Recreational maths with 3459404997457920

• 3459404997457920 backwards is 0297547994049543
• 3459404997457920 is a Harshad number.
• The number of decimal digits it has is: 16
• The sum of 3459404997457920's digits is 81
• More coming soon!