13138738650348624
13,138,738,650,348,624 is an even composite number composed of five prime numbers multiplied together.
What does the number 13138738650348624 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 960 divisors.
13138738650348624 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 13138738650348624:
24 × 35 × 173 × 31 × 2813
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 17 × 17 × 17 × 31 × 281 × 281 × 281)See below for interesting mathematical facts about the number 13138738650348624 from the Numbermatics database.
Names of 13138738650348624
- Cardinal: 13138738650348624 can be written as Thirteen quadrillion, one hundred thirty-eight trillion, seven hundred thirty-eight billion, six hundred fifty million, three hundred forty-eight thousand, six hundred twenty-four.
Scientific notation
- Scientific notation: 1.3138738650348624 × 1016
Factors of 13138738650348624
Divisors of 13138738650348624
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 17 18 24 27 31 34 36 48 51 54 62 68 72 81 93 102 108 124 136 144 153 162 186 204 216 243 248 272 279 281 289 306 324 372 408 432 459 486 496 527 558 562 578 612 648 744 816 837 843 867 918 972 1054 1116 1124 1156 1224 1296 1377 1488 1581 1674 1686 1734 1836 1944 2108 2232 2248 2312 2448 2511 2529 2601 2754 3162 3348 3372 3468 3672 3888 4131 4216 4464 4496 4624 4743 4777 4913 5022 5058 5202 5508 6324 6696 6744 6936 7344 7533 7587 7803 8262 8432 8711 8959 9486 9554 9826 10044 10116 10404 11016 12648 13392 13488 13872 14229 14331 14739 15066 15174 15606 16524 17422 17918 18972 19108 19652 20088 20232 20808 22032 22761 23409 25296 26133 26877 28458 28662 29478 30132 30348 31212 33048 34844 35836 37944 38216 39304 40176 40464 41616 42687 42993 44217 45522 46818 52266 53754 56916 57324 58956 60264 60696 62424 66096 68283 69688 70227 71672 75888 76432 78399 78608 78961 80631 81209 85374 85986 88434 91044 93636 104532 107508 113832 114648 117912 120528 121392 124848 128061 128979 132651 136566 139376 140454 143344 148087 152303 156798 157922 161262 162418 170748 171972 176868 182088 187272 209064 215016 227664 229296 235197 235824 236883 241893 243627 256122 257958 265302 273132 280908 296174 304606 313596 315844 322524 324836 341496 343944 353736 364176 374544 386937 397953 418128 430032 444261 456909 470394 473766 483786 487254 512244 515916 530604 546264 561816 592348 609212 627192 631688 645048 649672 682992 687888 705591 707472 710649 725679 730881 773874 795906 888522 913818 940788 947532 967572 974508 1024488 1031832 1061208 1092528 1123632 1160811 1184696 1193859 1218424 1254384 1263376 1290096 1299344 1332783 1342337 1370727 1380553 1411182 1421298 1451358 1461762 1547748 1591812 1777044 1827636 1881576 1895064 1935144 1949016 2048976 2063664 2116773 2122416 2131947 2177037 2192643 2321622 2369392 2387718 2436848 2447791 2517479 2665566 2684674 2741454 2761106 2822364 2842596 2902716 2923524 3095496 3183624 3554088 3655272 3763152 3790128 3870288 3898032 3998349 4027011 4112181 4141659 4233546 4263894 4354074 4385286 4643244 4775436 4895582 5034958 5331132 5369348 5482908 5522212 5644728 5685192 5805432 5847048 6190992 6367248 6395841 6577929 7108176 7310544 7343373 7552437 7996698 8054022 8224362 8283318 8467092 8527788 8708148 8770572 9286488 9550872 9791164 10069916 10662264 10738696 10965816 11044424 11289456 11370384 11610864 11694096 11995047 12081033 12336543 12424977 12791682 13155858 14686746 15104874 15993396 16108044 16448724 16566636 16934184 17055576 17416296 17541144 18572976 19101744 19187523 19582328 19733787 20139832 21324528 21477392 21931632 22030119 22088848 22188041 22657311 22819729 23990094 24162066 24673086 24849954 25583364 26311716 29373492 30209748 31986792 32216088 32897448 33133272 33868368 34111152 34832592 35082288 35985141 36243099 37009629 37274931 38375046 39164656 39467574 40279664 41612447 42797143 44060238 44376082 45314622 45639458 47980188 48324132 49346172 49699908 51166728 52623432 58746984 60419496 63973584 64432176 65794896 66090357 66266544 66564123 67971933 68459187 71970282 72486198 74019258 74549862 76750092 78935148 83224894 85594286 88120476 88752164 90629244 91278916 95960376 96648264 98692344 99399816 102333456 105246864 108729297 111824793 117493968 120838992 124837341 128391429 132180714 133128246 135943866 136918374 143940564 144972396 148038516 149099724 153500184 157870296 166449788 171188572 176240952 177504328 181258488 182557832 191920752 193296528 197384688 198271071 198799632 199692369 203915799 205377561 217458594 223649586 249674682 256782858 264361428 266256492 271887732 273836748 287881128 289944792 296077032 298199448 307000368 315740592 326187891 332899576 335474379 342377144 352481904 355008656 362516976 365115664 374512023 377196697 385174287 387935393 396542142 399384738 407831598 410755122 434917188 447299172 499349364 513565716 528722856 532512984 543775464 547673496 575762256 579889584 592154064 594813213 596398896 599077107 611747397 616132683 652375782 665799152 670948758 684754288 687829271 707411599 749024046 754393394 770348574 775870786 793084284 798769476 815663196 821510244 869834376 894598344 998698728 1027131432 1057445712 1065025968 1087550928 1095346992 1123536069 1131590091 1155522861 1163806179 1189626426 1198154214 1223494794 1232265366 1304751564 1341897516 1375658542 1414823198 1498048092 1508786788 1540697148 1551741572 1586168568 1597538952 1631326392 1643020488 1739668752 1789196688 1797231321 1848398049 1997397456 2054262864 2063487813 2122234797 2247072138 2263180182 2311045722 2327612358 2379252852 2396308428 2446989588 2464530732 2609503128 2683795032 2751317084 2829646396 2996096184 3017573576 3081394296 3103483144 3172337136 3195077904 3262652784 3286040976 3370608207 3394770273 3466568583 3491418537 3594462642 3696796098 4126975626 4244469594 4494144276 4526360364 4622091444 4655224716 4758505704 4792616856 4893979176 4929061464 5219006256 5367590064 5391693963 5502634168 5545194147 5659292792 5992192368 6035147152 6162788592 6190463439 6206966288 6366704391 6412343849 6741216414 6789540546 6933137166 6982837074 7188925284 7393592196 8253951252 8488939188 8988288552 9052720728 9244182888 9310449432 9517011408 9585233712 9787958352 9858122928 10111824621 10184310819 10399705749 10474255611 10783387926 11005268336 11090388294 11318585584 11693097607 12025997183 12380926878 12733408782 12824687698 13482432828 13579081092 13866274332 13965674148 14377850568 14787184392 16507902504 16977878376 17976577104 18105441456 18488365776 18571390317 18620898864 19100113173 19237031547 20223649242 20368621638 20799411498 20948511222 21566775852 22180776588 23386195214 24051994366 24761853756 25466817564 25649375396 26964865656 27158162184 27732548664 27931348296 28755701136 29574368784 30552932457 31422766833 33015805008 33955756752 35079292821 36077991549 37142780634 38200226346 38474063094 40447298484 40737243276 41598822996 41897022444 43133551704 44361553176 46772390428 48103988732 49523707512 50933635128 51298750792 53929731312 54316324368 55465097328 55714170951 55862696592 57300339519 57711094641 61105864914 62845533666 70158585642 72155983098 74285561268 76400452692 76948126188 80894596968 81474486552 83197645992 83794044888 86267103408 88723106352 91658797371 93544780856 94268300499 96207977464 99047415024 101867270256 102597501584 105237878463 108233974647 109009845433 111428341902 114600679038 115422189282 122211729828 125691067332 140317171284 144311966196 148571122536 152800905384 153896252376 161789193936 162948973104 166395291984 167142512853 167588089776 171901018557 173133283923 183317594742 187089561712 188536600998 192415954928 198782659319 210475756926 216467949294 218019690866 222856683804 229201358076 230844378564 244423459656 251382134664 280634342568 288623932392 297142245072 305601810768 307792504752 315713635389 324701923941 327029536299 334285025706 343802037114 346266567846 366635189484 377073201996 397565318638 420951513852 432935898588 436039381732 445713367608 458402716152 461688757128 488846919312 502764269328 519399851769 561268685136 577247864784 596347977957 631427270778 649403847882 654059072598 668570051412 687604074228 692533135692 733270378968 754146403992 795130637276 841903027704 865871797176 872078763464 891426735216 916805432304 923377514256 947140906167 974105771823 981088608897 1038799703538 1192695955914 1262854541556 1298807695764 1308118145196 1337140102824 1375208148456 1385066271384 1466540757936 1508292807984 1558199555307 1590261274552 1683806055408 1731743594352 1744157526928 1789043933871 1894281812334 1948211543646 1962177217794 2077599407076 2385391911828 2525709083112 2597615391528 2616236290392 2674280205648 2750416296912 2770132542768 2841422718501 2922317315469 2943265826691 3116399110614 3180522549104 3379305208423 3578087867742 3788563624668 3896423087292 3924354435588 4155198814152 4770783823656 5051418166224 5195230783056 5232472580784 5367131801613 5682845437002 5844634630938 5886531653382 6232798221228 6758610416846 7156175735484 7577127249336 7792846174584 7848708871176 8310397628304 8829797480073 9541567647312 10137915625269 10734263603226 11365690874004 11689269261876 11773063306764 12465596442456 13517220833692 14312351470968 15154254498672 15585692349168 15697417742352 16101395404839 17659594960146 20275831250538 21468527206452 22731381748008 23378538523752 23546126613528 24931192884912 26489392440219 27034441667384 28624702941936 30413746875807 32202790809678 35319189920292 40551662501076 42937054412904 45462763496016 46757077047504 47092253227056 48304186214517 52978784880438 54068883334768 60827493751614 64405581619356 70638379840584 81103325002152 85874108825808 91241240627421 96608372429034 105957569760876 121654987503228 128811163238712 141276759681168 162206650004304 182482481254842 193216744858068 211915139521752 243309975006456 257622326477424 273723721882263 364964962509684 386433489716136 423830279043504 486619950012912 547447443764526 729929925019368 772866979432272 821171165646789 1094894887529052 1459859850038736 1642342331293578 2189789775058104 3284684662587156 4379579550116208 6569369325174312 13138738650348624
- Sum of all divisors σ(n): 41971144014858240
- Sum of proper divisors (its aliquot sum) s(n): 28832405364509616
- 13138738650348624 is an abundant number, because the sum of its proper divisors (28832405364509616) is greater than itself. Its abundance is 15693666714160992
Bases of 13138738650348624
- Binary: 1011101010110110011100111110100000110011111100010100002
- Hexadecimal: 0x2EAD9CFA0CFC50
- Base-36: 3LDAL7K8L00
Squares and roots of 13138738650348624
- 13138738650348624 squared (131387386503486242) is 172626453322164781746356738693376
- 13138738650348624 cubed (131387386503486243) is 2268093854336529044262658154230151621852639514624
-
The
square root of 13138738650348624 is 114624337.0770301293 -
The
cube root of 13138738650348624 is 235966.9747569701
Scales and comparisons
How big is 13138738650348624?- 13,138,738,650,348,624 seconds is equal to 417,771,248 years, 15 weeks, 2 days, 50 minutes, 24 seconds.
-
To count from 1 to 13,138,738,650,348,624 would take you about one billion, two hundred fifty-three million, three hundred thirteen thousand, seven hundred forty-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 13138738650348624 cubic inches would be around 19663.9 feet tall.
Recreational maths with 13138738650348624
- 13138738650348624 backwards is 42684305683783131
- 13138738650348624 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13138738650348624's digits is 72
- More coming soon!
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The information we have on file for 13138738650348624 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 13138738650348624, math, Factors of 13138738650348624, curriculum, school, college, exams, university, Prime factorization of 13138738650348624, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, one hundred thirty-eight trillion, seven hundred thirty-eight billion, six hundred fifty million, three hundred forty-eight thousand, six hundred twenty-four.