345890314580355216

Names of 345890314580355216

• Cardinal: 345890314580355216 can be written as Three hundred forty-five quadrillion, eight hundred ninety trillion, three hundred fourteen billion, five hundred eighty million, three hundred fifty-five thousand, two hundred sixteen.

Scientific notation

• Scientific notation: 3.45890314580355216 × 10¹⁷

Factors of 345890314580355216

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 122864

Divisors of 345890314580355216

• Number of divisors d(n): 675
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 27 28 36 38 42 48 49 54 56 57 63 72 76 81 84 98 108 112 114 126 133 144 147 152 162 168 171 189 196 216 228 252 266 294 304 324 336 342 361 378 392 399 432 441 456 504 513 532 567 588 648 684 722 756 784 798 882 912 931 1008 1026 1064 1083 1134 1176 1197 1296 1323 1368 1444 1512 1539 1596 1764 1862 2052 2128 2166 2268 2352 2394 2527 2646 2736 2793 2888 3024 3078 3192 3249 3528 3591 3724 3969 4104 4332 4536 4788 5054 5292 5586 5776 6156 6384 6498 7056 7182 7448 7581 7938 8208 8379 8664 9072 9576 9747 10108 10584 10773 11172 12312 12996 14364 14896 15162 15876 16758 17328 17689 19152 19494 20216 21168 21546 22344 22743 24624 25137 25992 28728 29241 30324 31752 33516 35378 38988 40432 43092 44688 45486 50274 51984 53067 57456 58482 60648 63504 67032 68229 70756 75411 77976 86184 90972 100548 106134 116964 121296 122833 134064 136458 141512 150822 155952 159201 172368 181944 201096 204687 212268 233928 245666 272916 283024 301644 318402 363888 368499 402192 409374 424536 467856 477603 491332 545832 603288 636804 736998 818748 849072 859831 955206 982664 1091664 1105497 1206576 1273608 1432809 1473996 1637496 1719662 1910412 1965328 2210994 2333827 2547216 2579493 2865618 2947992 3274992 3316491 3439324 3820824 4421988 4667654 5158986 5731236 5895984 6018817 6632982 6878648 7001481 7641648 7738479 8843976 9335308 9949473 10317972 11462472 12037634 13265964 13757296 14002962 15476958 16336789 17687952 18056451 18670616 19898946 20635944 21004443 22924944 23215437 24075268 26531928 28005924 30953916 32673578 36112902 37341232 39797892 41271888 42008886 44342713 46430874 48150536 49010367 53063856 54169353 56011848 61907832 63013329 65347156 69646311 72225804 79595784 84017772 88685426 92861748 96301072 98020734 108338706 112023696 114357523 123815664 126026658 130694312 133028139 139292622 144451608 147031101 159191568 162508059 168035544 177370852 185723496 189039987 196041468 216677412 228715046 252053316 261388624 266056278 278585244 288903216 294062202 310398991 325016118 336071088 343072569 354741704 371446992 378079974 392082936 399084417 433354824 441093303 457430092 487524177 504106632 532112556 557170488 588124404 620797982 650032236 686145138 709483408 756159948 784165872 798168834 866709648 882186606 914860184 931196973 975048354 1008213264 1029217707 1064225112 1114340976 1176248808 1197253251 1241595964 1300064472 1323279909 1372290276 1512319896 1596337668 1764373212 1829720368 1862393946 1950096708 2058435414 2128450224 2172792937 2352497616 2394506502 2483191928 2600128944 2646559818 2744580552 2793590919 3024639792 3087653121 3192675336 3528746424 3591759753 3724787892 3900193416 4116870828 4345585874 4789013004 4966383856 5293119636 5489161104 5587181838 6175306242 6385350672 6518378811 7057492848 7183519506 7449575784 7800386832 8233741656 8380772757 8691171748 9262959363 9578026008 10586239272 11174363676 12350612484 13036757622 14367039012 14899151568 15087945889 16467483312 16761545514 17382343496 18525918726 19156052016 19555136433 21172478544 22348727352 24701224968 25142318271 26073515244 28734078024 30175891778 33523091028 34764686992 37051837452 39110272866 44697454704 45263837667 49402449936 50284636542 52147030488 57468156048 58665409299 60351783556 67046182056 74103674904 78220545732 90527675334 100569273084 104294060976 105615621223 117330818598 120703567112 134092364112 135791513001 148207349808 156441091464 175996227897 181055350668 201138546168 211231242446 234661637196 241407134224 271583026002 286670971891 312882182928 316846863669 351992455794 362110701336 402277092336 407374539003 422462484892 469323274392 543166052004 573341943782 633693727338 703984911588 724221402672 739309348561 814749078006 844924969784 860012915673 938646548784 950540591007 1086332104008 1146683887564 1222123617009 1267387454676 1407969823176 1478618697122 1629498156012 1689849939568 1720025831346 1901081182014 2006696803237 2172664208016 2217928045683 2293367775128 2444247234018 2534774909352 2580038747019 2815939646352 2851621773021 2957237394244 3258996312024 3440051662692 3802162364028 4013393606474 4435856091366 4586735550256 4888494468036 5069549818704 5160077494038 5446748465929 5703243546042 5914474788488 6020090409711 6517992624048 6653784137049 6880103325384 7604324728056 7740116241057 8026787212948 8554865319063 8871712182732 9776988936072 10320154988076 10893496931858 11406487092084 11828949576976 12040180819422 13307568274098 13760206650768 14046877622659 15208649456112 15480232482114 16053574425896 16340245397787 17109730638126 17743424365464 18060271229133 19553977872144 19961352411147 20640309976152 21786993863716 22812974184168 23220348723171 24080361638844 26615136548196 28093755245318 30960464964228 32107148851792 32680490795574 34219461276252 35486848730928 36120542458266 38127239261503 39922704822294 41280619952304 42140632867977 43573987727432 45625948368336 46440697446342 48160723277688 49020736193361 53230273096392 54180813687399 56187510490636 59884057233441 61920929928456 65360981591148 68438922552504 72241084916532 76254478523006 79845409644588 84281265735954 87147975454864 92881394892684 96321446555376 98041472386722 106460546192784 108361627374798 112375020981272 114381717784509 119768114466882 123841859856912 126421898603931 130721963182296 136877845105008 144482169833064 147062208580083 152508957046012 159690819289176 162542441062197 168562531471908 185762789785368 196082944773444 216723254749596 224750041962544 228763435569018 239536228933764 252843797207862 261443926364592 266890674830521 288964339666128 294124417160166 305017914092024 319381638578352 325084882124394 337125062943816 343145153353527 371525579570736 379265695811793 392165889546888 433446509499192 441186625740249 457526871138036 479072457867528 505687594415724 533781349661042 588248834320332 610035828184048 650169764248788 674250125887632 686290306707054 758531391623586 784331779093776 800672024491563 866893018998384 882373251480498 915053742276072 958144915735056 1011375188831448 1029435460060581 1067562699322084 1137797087435379 1176497668640664 1300339528497576 1372580613414108 1517062783247172 1601344048983126 1764746502960996 1830107484552144 2022750377662896 2058870920121162 2135125398644168 2275594174870758 2352995337281328 2402016073474689 2600679056995152 2745161226828216 3034125566494344 3088306380181743 3202688097966252 3529493005921992 4117741840242324 4270250797288336 4551188349741516 4804032146949378 5490322453656432 6068251132988688 6176612760363486 6405376195932504 7058986011843984 7206048220424067 8235483680484648 9102376699483032 9608064293898756 12353225520726972 12810752391865008 14412096440848134 16470967360969296 18204753398966064 19216128587797512 21618144661272201 24706451041453944 28824192881696268 38432257175595024 43236289322544402 49412902082907888 57648385763392536 86472578645088804 115296771526785072 172945157290177608 345890314580355216
• Sum of all divisors σ(n): 1229081124303673641
• Sum of proper divisors (its aliquot sum) s(n): 883190809723318425
• 345890314580355216 is an abundant number, because the sum of its proper divisors (883190809723318425) is greater than itself. Its abundance is 537300495142963209

Bases of 345890314580355216

• Binary: 10011001100110110010110100010010011110011110110100010010000₂
• Hexadecimal: 0x4CCD96893CF6890
• Base-36: 2MLRVSVPVD00

Squares and roots of 345890314580355216

• 345890314580355216 squared (345890314580355216²) is 119640109720497092124367824738406656
• 345890314580355216 cubed (345890314580355216³) is 41382355187650953150087303477473833893038122338717696
• 345890314580355216 is a perfect square number. Its square root is 588124404
• The cube root of 345890314580355216 is 701960.7033278077

Scales and comparisons

• 345,890,314,580,355,216 seconds is equal to 10,998,242,094 years, 34 weeks, 3 days, 19 hours, 33 minutes, 36 seconds.
• To count from 1 to 345,890,314,580,355,216 would take you about thirty-two billion, nine hundred ninety-four million, seven hundred twenty-six thousand, two hundred eighty-three 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 345890314580355216 cubic inches would be around 58496.7 feet tall.

Recreational maths with 345890314580355216

• 345890314580355216 backwards is 612553085413098543
• 345890314580355216 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 345890314580355216's digits is 72
• More coming soon!