1338905133960337125
1,338,905,133,960,337,125 is an odd composite number composed of six prime numbers multiplied together.
What does the number 1338905133960337125 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
1338905133960337125 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 1338905133960337125:
32 × 53 × 72 × 135 × 19 × 1513
(3 × 3 × 5 × 5 × 5 × 7 × 7 × 13 × 13 × 13 × 13 × 13 × 19 × 151 × 151 × 151)See below for interesting mathematical facts about the number 1338905133960337125 from the Numbermatics database.
Names of 1338905133960337125
- Cardinal: 1338905133960337125 can be written as One quintillion, three hundred thirty-eight quadrillion, nine hundred five trillion, one hundred thirty-three billion, nine hundred sixty million, three hundred thirty-seven thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 1.338905133960337125 × 1018
Factors of 1338905133960337125
Divisors of 1338905133960337125
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 3 5 7 9 13 15 19 21 25 35 39 45 49 57 63 65 75 91 95 105 117 125 133 147 151 169 171 175 195 225 245 247 273 285 315 325 375 399 441 453 455 475 507 525 585 637 665 735 741 755 819 845 855 875 931 975 1057 1125 1183 1197 1225 1235 1359 1365 1425 1521 1575 1625 1729 1911 1963 1995 2197 2205 2223 2265 2275 2375 2535 2625 2793 2869 2925 3171 3185 3211 3325 3549 3675 3705 3775 4095 4225 4275 4655 4875 5187 5285 5733 5889 5915 5985 6125 6175 6591 6795 6825 7125 7399 7605 7875 8281 8379 8607 8645 9513 9555 9633 9815 9975 10647 10985 11025 11115 11325 11375 12103 12675 13741 13965 14345 14625 15379 15561 15855 15925 16055 16625 17667 17745 18375 18525 18875 19773 20083 20475 21125 21375 22197 22477 22801 23275 24843 25519 25821 25935 26425 28561 28665 28899 29445 29575 29925 30875 32955 33975 34125 36309 36995 37297 38025 41223 41405 41743 41895 43035 43225 46137 47565 47775 48165 49075 49875 53235 54925 55125 55575 56625 60249 60515 63375 66591 67431 68403 68705 69825 71725 74529 76557 76895 77805 79275 79625 80275 85683 88335 88725 92625 96187 98865 100415 102375 107653 108927 110985 111891 112385 114005 116375 123669 124215 125229 127595 129105 129675 132125 138411 140581 142805 143325 144495 147225 147875 149625 157339 159607 164775 169875 178633 180747 181545 184975 186485 190125 199927 202293 205209 206115 207025 208715 209475 215175 216125 229671 230685 237825 238875 240825 245375 257049 261079 266175 274625 277875 288561 292201 296413 301245 302575 322959 331747 332955 335673 337155 342015 343525 349125 358625 371293 372645 375687 382785 384475 389025 396375 401375 421743 428415 433219 441675 443625 472017 478821 480935 484861 494325 502075 535899 538265 542659 544635 554925 559455 561925 570025 599781 618345 621075 626145 637975 645525 648375 692055 702905 714025 716625 722475 736125 783237 786695 798035 823875 865683 876603 889239 893165 903735 907725 924875 932425 968877 995241 999635 1011465 1026045 1030575 1035125 1043575 1047375 1075875 1113879 1117249 1148355 1153425 1189125 1204125 1250431 1265229 1285245 1299657 1305395 1330875 1399489 1416051 1436463 1442805 1454583 1461005 1482065 1506225 1512875 1607697 1614795 1627977 1658735 1664775 1678365 1685775 1710075 1717625 1799343 1827553 1856465 1863225 1878435 1913925 1922375 1945125 2045407 2074891 2108715 2142075 2166095 2208375 2322229 2349711 2360085 2394105 2404675 2424305 2471625 2510375 2599051 2629809 2667717 2679495 2691325 2713295 2723175 2774625 2797275 2809625 2850125 2985723 2998905 3032533 3091725 3105375 3130725 3189875 3227625 3341637 3351747 3394027 3442951 3460275 3514525 3570125 3612375 3751293 3798613 3853369 3898971 3916185 3933475 3990175 4198467 4312711 4328415 4363749 4383015 4446195 4465825 4518675 4538625 4662125 4844385 4883931 4976205 4998175 5057325 5130225 5152875 5217875 5482659 5569395 5586245 5631847 5741775 5767125 6136221 6224673 6252155 6303193 6326145 6426225 6498285 6526975 6966687 6997445 7054567 7080255 7182315 7214025 7272915 7305025 7410325 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1160808144405 1165933125175 1198394569125 1202020267875 1244480198871 1278343605643 1282998475395 1293471932337 1299182625195 1304918530825 1323728585725 1339394012775 1345307452125 1381914457625 1435938691005 1447660639503 1475011852665 1481524046275 1499056875225 1505675227875 1527379137375 1546645982375 1625131402167 1677752396775 1701936753075 1709450822625 1818855675273 1853220020015 1868348346709 1875151617885 1904816630925 1934680240675 2065016593731 2074133664785 2098679625315 2138330792325 2155786553895 2165304375325 2232323354625 2348853355485 2382711454305 2393231151675 2412767732505 2458353087775 2467304760375 2487446023725 2498428125375 2666743283295 2708552336945 2761420559625 2783962768275 2796253994625 2836561255125 3018101175453 3031426125455 3090596520375 3125252696475 3174694384875 3335796036027 3377874825507 3441694322885 3482424433215 3497799375525 3563884653875 3592977589825 3606060803625 3733440596613 3835030816929 3897547875585 3914755592475 3971185757175 3988718586125 4021279554175 4035922356375 4145743372875 4425035557995 4444572138825 4517025683625 4582137412125 4639937947125 4818372052039 4875394206501 5030168625755 5128352467875 5208754494125 5456567025819 5559660060045 5605045040127 5629791375845 5804040722025 5829665625875 6195049781193 6222400994355 6391718028215 6414992376975 6467359661685 6495913125975 6524592654125 6618642928625 6696970063875 7042236076057 7179693455025 7238303197515 7375059263325 7407620231375 7495284376125 7881707926183 8125657010835 8388761983875 8509683765375 8948405239501 9054303526359 9094278376365 9266100100075 9341741733545 9375758089425 9524083154625 9673401203375 10133624476521 10325082968655 10370668323925 10493398126575 10691653961625 10778932769475 10826521876625 11505092450787 11744266777425 11913557271525 11966155758375 12063838662525 12291765438875 12437230118625 13078438426963 13333716416475 13542761684725 13919813841375 14455116156117 15090505877265 15157130627275 15626263482375 16678980180135 16815135120381 16889374127535 17208471614425 17412122166075 17488996877625 17964887949125 18667202983065 19175154084645 19487739377925 19573777962375 19855928785875 20106397770875 21126708228171 22125177789975 22222860694125 23645123778549 24091860260195 24288528507217 24376971032505 25150843128775 26845215718503 27282835129095 27798300300225 28025225200635 28148956879225 29020203610125 30975248905965 31112004971775 31958590141075 32074961884875 32336798308425 32479565629875 35211180380285 35898467275125 36191515987575 36875296316625 39235315280889 39408539630915 40628285054175 43365348468351 44742026197505 45271517631795 45471391881825 46330500500375 46708708667725 46878790447125 50668122382605 51625414843275 51853341619625 52466990632875 53894663847375 57525462253935 58721333887125 59567786357625 60319193312625 62638836676507 63380124684513 65392192134815 66668582082375 67713808423625 70935371335647 72275580780585 72865585521651 75452529386325 75785653136375 80535647155509 83394900900675 84075675601905 84446870637675 86042358072125 87060610830375 91549068988741 93336014915325 95875770423225 97438696889625 105633541140855 110625888949875 117705945842667 118225618892745 120459301300975 121442642536085 121884855162525 125754215643875 134226078592515 136414175645475 138991501501125 140126126003175 140744784396125 154876244529825 155560024858875 159792950705375 161683991542125 170019699550519 176055901901425 180957579937875 187916510029521 196176576404445 197042698154575 203141425270875 216826742341755 218596756564953 223710130987525 226357588158975 227356959409125 233543543338625 253340611913025 258127074216375 274647206966223 287627311269675 313194183382535 316900623422565 326960960674075 354676856678235 361377903902925 364327927608255 377262646931625 402678235777545 416974504503375 420378378009525 422234353188375 457745344943705 466680074576625 479378852116125 510059098651557 528167705704275 563749530088563 588529729213335 591128094463725 602296506504875 607213212680425 609424275812625 671130392962575 682070878227375 700630630015875 774381222649125 823941620898669 850098497752595 880279509507125 939582550147605 980882882022225 985213490772875 1084133711708775 1092983782824765 1118550654937625 1131787940794875 1190137896853633 1266703059565125 1373236034831115 1438136556348375 1530177295954671 1565970916912675 1584503117112825 1634804803370375 1773384283391175 1806889519514625 1821639638041275 2013391178887725 2101891890047625 2288726724718525 2550295493257785 2640838528521375 2818747650442815 2942648646066675 2955640472318625 3036066063402125 3355651964812875 3570413690560899 4119708104493345 4250492488762975 4697912750738025 4904414410111125 5420668558543875 5464918914123825 5950689484268165 6866180174155575 7650886479773355 7829854584563375 7922515585564125 8866921416955875 9108198190206375 10066955894438625 10711241071682697 11443633623592625 12751477466288925 14093738252214075 14713243230333375 17852068452804495 20598540522466725 21252462443814875 23489563753690125 27324594570619125 29753447421340825 34330900870777875 38254432398866775 53556205358413485 63757387331444625 70468691261070375 89260342264022475 102992702612333625 148767237106704125 191272161994333875 267781026792067425 446301711320112375 1338905133960337125
- Sum of all divisors σ(n): 3223057912732869120
- Sum of proper divisors (its aliquot sum) s(n): 1884152778772531995
- 1338905133960337125 is an abundant number, because the sum of its proper divisors (1884152778772531995) is greater than itself. Its abundance is 545247644812194870
Bases of 1338905133960337125
- Binary: 10010100101001011111100100000001000011010011100010110111001012
- Hexadecimal: 0x1294BF2021A716E5
- Base-36: A67E9B79UWV9
Squares and roots of 1338905133960337125
- 1338905133960337125 squared (13389051339603371252) is 1792666957745348302068172643653265625
- 1338905133960337125 cubed (13389051339603371253) is 2400210993206305580795575139049317688134579732173828125
-
The
square root of 1338905133960337125 is 1157110683.5391060051 -
The
cube root of 1338905133960337125 is 1102173.4256810533
Scales and comparisons
How big is 1338905133960337125?- 1,338,905,133,960,337,125 seconds is equal to 42,573,041,754 years, 22 weeks, 5 days, 18 minutes, 45 seconds.
-
To count from 1 to 1,338,905,133,960,337,125 would take you about one hundred forty-nine billion, five million, six hundred forty-six thousand, one hundred forty 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 1338905133960337125 cubic inches would be around 91847.8 feet tall.
Recreational maths with 1338905133960337125
- 1338905133960337125 backwards is 5217330693315098331
- The number of decimal digits it has is: 19
- The sum of 1338905133960337125's digits is 72
- More coming soon!
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The information we have on file for 1338905133960337125 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!
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