13917928345017840

Names of 13917928345017840

• Cardinal: 13917928345017840 can be written as Thirteen quadrillion, nine hundred seventeen trillion, nine hundred twenty-eight billion, three hundred forty-five million, seventeen thousand, eight hundred forty.

Scientific notation

• Scientific notation: 1.391792834501784 × 10¹⁶

Factors of 13917928345017840

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 336693

Divisors of 13917928345017840

• Number of divisors d(n): 960
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 26 30 33 36 39 40 44 45 48 52 55 60 65 66 72 78 80 88 90 99 104 110 117 120 130 132 143 144 156 165 167 176 180 195 198 208 220 234 240 260 264 286 312 330 334 360 390 396 429 440 468 495 501 520 528 572 585 624 660 668 715 720 780 792 835 858 880 936 990 1002 1040 1144 1170 1287 1320 1336 1430 1503 1560 1584 1670 1716 1837 1872 1980 2004 2145 2171 2288 2340 2423 2505 2574 2640 2672 2860 3006 3120 3340 3432 3674 3960 4008 4290 4342 4680 4846 5010 5148 5511 5720 6012 6435 6513 6680 6864 7269 7348 7515 7920 8016 8580 8684 9185 9360 9692 10020 10296 10855 11022 11440 12024 12115 12870 13026 13360 14538 14696 15030 16533 17160 17368 18370 19384 19539 20040 20592 21710 21807 22044 23881 24048 24230 25740 26052 26653 27555 29076 29392 30060 31499 32565 33066 34320 34736 36345 36740 38768 39078 40080 43420 43614 44088 47762 48460 51480 52104 53306 55110 58152 60120 62998 65130 66132 71643 72690 73480 78156 79959 82665 86840 87228 88176 94497 95524 96920 97695 102960 104208 106612 109035 110220 116304 119405 120240 125996 130260 132264 133265 143286 145380 146960 156312 157495 159918 165330 173680 174456 188994 191048 193840 195390 213224 214929 218070 220440 238810 239877 251992 260520 264528 266530 283491 286572 290760 312624 314990 319836 330660 334069 346489 348912 358215 377988 382096 390780 399795 404641 426448 429858 436140 440880 472485 477620 479754 503984 521040 533060 566982 573144 581520 629980 639672 661320 668138 692978 716430 755976 781560 799590 809282 859716 872280 944970 955240 959508 1002207 1039467 1066120 1074645 1133964 1146288 1199385 1213923 1259960 1279344 1322640 1336276 1385956 1417455 1432860 1511952 1563120 1599180 1618564 1670345 1719432 1732445 1744560 1889940 1910480 1919016 2004414 2023205 2078934 2132240 2149290 2267928 2398770 2427846 2519920 2672552 2771912 2834910 2865720 3006621 3118401 3198360 3237128 3340690 3438864 3464890 3641769 3674759 3779880 3838032 4008828 4046410 4157868 4298580 4342897 4451051 4535856 4797540 4855692 5011035 5197335 5260333 5345104 5543824 5669820 5731440 6013242 6069615 6236802 6396720 6474256 6681380 6929780 7283538 7349518 7559760 8017656 8092820 8315736 8597160 8685794 8902102 9595080 9711384 10022070 10394670 10520666 11024277 11339640 12026484 12139230 12473604 13028691 13353153 13362760 13859560 14567076 14699036 15033105 15592005 15780999 16035312 16185640 16631472 17194320 17371588 17804204 18208845 18373795 19190160 19422768 20044140 20789340 21041332 21714485 22048554 22255255 22679280 24052968 24278460 24947208 26057382 26301665 26706306 26725520 27719120 29134152 29398072 30066210 31184010 31561998 32371280 33072831 34743176 35608408 36417690 36747590 39086073 40059459 40088280 41578680 42082664 43428970 44097108 44510510 47342997 47771867 48105936 48556920 49894416 52114764 52603330 53412612 55121385 55789523 57863663 58268304 58796144 60132420 62368020 63123996 65143455 66145662 66765765 69486352 71216816 72835380 73495180 78172146 78904995 80118918 80176560 83157360 84165328 86857940 88194216 89021020 94685994 95543734 97113840 104229528 105206660 106825224 110242770 111579046 115727326 120264840 124736040 126247992 130286910 132291324 133531530 143315601 145670760 146990360 156344292 157809990 160237836 165364155 167368569 173590989 173715880 176388432 178042040 189371988 191087468 195430365 200297295 208459056 210413320 213650448 220485540 223158092 231454652 236714985 238859335 240529680 249472080 252495984 260573820 264582648 267063060 278947615 286631202 289318315 291341520 293980720 312688584 315619980 320475672 330728310 334737138 347181978 347431760 356084080 378743976 382174936 390860730 400594590 420826640 429946803 440971080 446316184 462909304 473429970 477718670 502105707 520772967 521147640 529165296 534126120 557895230 573262404 578636630 613684753 625377168 631239960 640951344 661456620 669474276 694363956 716578005 725263799 757487952 764349872 781721460 801189180 809449187 836842845 859893606 867954945 881942160 892632368 925818608 946859940 955437340 1004211414 1041545934 1042295280 1068252240 1115790460 1146524808 1157273260 1227369506 1262479920 1322913240 1338948552 1388727912 1433156010 1450527598 1563442920 1602378360 1618898374 1673685690 1719787212 1735909890 1841054259 1893719880 1910874680 2008422828 2083091868 2149734015 2175791397 2231580920 2293049616 2314546520 2428347561 2454739012 2510528535 2603864835 2645826480 2677897104 2777455824 2866312020 2901055196 3068423765 3126885840 3204756720 3237796748 3347371380 3439574424 3471819780 3626318995 3682108518 3787439760 3821749360 4016845656 4047245935 4166183736 4299468030 4351582794 4463161840 4629093040 4856695122 4909478024 5021057070 5207729670 5523162777 5732624040 5802110392 6136847530 6475593496 6527374191 6694742760 6879148848 6943639560 7252637990 7285042683 7364217036 7977901789 8033691312 8094491870 8332367472 8598936060 8703165588 8903941057 9205271295 9713390244 9818956048 10042114140 10415459340 10522839431 10878956985 11046325554 11465248080 11604220784 12141737805 12273695060 12951186992 13054748382 13389485520 13887279120 14505275980 14570085366 14728434072 15955803578 16188983740 17197872120 17406331176 17807882114 18410542590 19426780488 20084228280 20830918680 21045678862 21757913970 22092651108 23933705367 24283475610 24547390120 26109496764 26711823171 27615813885 29010551960 29140170732 29456868144 31568518293 31911607156 32377967480 32636870955 34395744240 34812662352 35615764228 36425213415 36821085180 38853560976 39889508945 40168456560 41661837360 42091357724 43515827940 44185302216 44519705285 47867410734 48566951220 49094780240 52218993528 52614197155 53423646342 55231627770 58021103920 58280341464 63137036586 63823214312 64755934960 65273741910 71231528456 71801116101 72850426830 73642170360 79779017890 80135469513 84182715448 87031655880 88370604432 89039410570 94705554879 95734821468 97133902440 104437987056 105228394310 106847292684 110463255540 115751233741 116560682928 119668526835 126274073172 127646428624 130547483820 133559115855 135178014229 142463056912 143602232202 145700853660 147284340720 157842591465 159558035780 160270939026 168365430896 174063311760 178078821140 189411109758 191469642936 194267804880 210456788620 213694585368 220926511080 231502467482 239337053670 252548146344 261094967640 267118231710 270356028458 287204464404 291401707320 315685182930 319116071560 320541878052 347253701223 356157642280 359005580505 378822219516 382939285872 400677347565 405534042687 420913577240 427389170736 441853022160 463004934964 473527774395 478674107340 505096292688 522189935280 534236463420 540712056916 574408928808 578756168705 582803414640 631370365860 638232143120 641083756104 675890071145 694507402446 712315284560 718011161010 757644439032 801354695130 811068085374 841827154480 926009869928 947055548790 957348214680 1041761103669 1068472926840 1081424113832 1148817857616 1157512337410 1216602128061 1262740731720 1282167512208 1351780142290 1389014804892 1436022322020 1486958156519 1515288878064 1602709390260 1622136170748 1736268506115 1757314184977 1852019739856 1894111097580 1914696429360 2027670213435 2083522207338 2136945853680 2162848227664 2315024674820 2433204256122 2525481463440 2703560284580 2778029609784 2872044644040 2973916313038 3205418780520 3244272341496 3472537012230 3514628369954 3788222195160 4055340426870 4167044414676 4460874469557 4630049349640 4866408512244 5208805518345 5271942554931 5407120569160 5556059219568 5744089288080 5947832626076 6083010640305 6410837561040 6488544682992 6945074024460 7029256739908 7434790782595 7576444390320 8110680853740 8334088829352 8786570924885 8921748939114 9260098699280 9732817024488 10417611036690 10543885109862 10814241138320 11895665252152 12166021280610 13382623408671 13890148048920 14058513479816 14869581565190 15815827664793 16221361707480 16668177658704 17573141849770 17843497878228 19330456034747 19465634048976 20835222073380 21087770219724 22304372347785 23791330504304 24332042561220 26359712774655 26765246817342 27780296097840 28117026959632 29739163130380 31631655329586 32442723414960 35146283699540 35686995756456 38660912069494 41670444146760 42175540439448 44608744695570 48664085122440 52719425549310 53530493634684 57991368104241 59478326260760 63263310659172 66913117043355 70292567399080 71373991512912 77321824138988 79079138323965 83340888293520 84351080878896 89217489391140 96652280173735 97328170244880 105438851098620 107060987269368 115982736208482 118956652521520 126526621318344 133826234086710 140585134798160 154643648277976 158158276647930 173974104312723 178434978782280 193304560347470 210877702197240 214121974538736 231965472416964 253053242636688 267652468173420 289956840521205 309287296555952 316316553295860 347948208625446 356869957564560 386609120694940 421755404394480 463930944833928 535304936346840 579913681042410 632633106591720 695896417250892 773218241389880 869870521563615 927861889667856 1070609872693680 1159827362084820 1265266213183440 1391792834501784 1546436482779760 1739741043127230 2319654724169640 2783585669003568 3479482086254460 4639309448339280 6958964172508920 13917928345017840
• Sum of all divisors σ(n): 55264335516149760
• Sum of proper divisors (its aliquot sum) s(n): 41346407171131920
• 13917928345017840 is an abundant number, because the sum of its proper divisors (41346407171131920) is greater than itself. Its abundance is 27428478826114080

Bases of 13917928345017840

• Binary: 110001011100100100100000110111000000111001110111110000₂
• Hexadecimal: 0x31724837039DF0
• Base-36: 3T1HS0ID240

Squares and roots of 13917928345017840

• 13917928345017840 squared (13917928345017840²) is 193708729417051030708349918265600
• 13917928345017840 cubed (13917928345017840³) is 2696024215830965630340008945995064440973858304000
• The square root of 13917928345017840 is 117974269.8431223179
• The cube root of 13917928345017840 is 240542.3403339721

Scales and comparisons

• 13,917,928,345,017,840 seconds is equal to 442,547,070 years, 20 weeks, 2 days, 21 hours, 24 minutes.
• To count from 1 to 13,917,928,345,017,840 would take you about one billion, three hundred twenty-seven million, six hundred forty-one thousand, two hundred eleven 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 13917928345017840 cubic inches would be around 20045.2 feet tall.

Recreational maths with 13917928345017840

• 13917928345017840 backwards is 04871054382971931
• 13917928345017840 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 13917928345017840's digits is 72
• More coming soon!