13137615710208
13,137,615,710,208 is an even composite number composed of seven prime numbers multiplied together.
13137615710208 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 13137615710208:
211 × 32 × 112 × 19 × 31 × 73 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 11 × 19 × 31 × 73 × 137)See below for interesting mathematical facts about the number 13137615710208 from the Numbermatics database.
Names of 13137615710208
- Cardinal: 13137615710208 can be written as Thirteen trillion, one hundred thirty-seven billion, six hundred fifteen million, seven hundred ten thousand, two hundred eight.
Scientific notation
- Scientific notation: 1.3137615710208 × 1013
Factors of 13137615710208
Divisors of 13137615710208
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 19 22 24 31 32 33 36 38 44 48 57 62 64 66 72 73 76 88 93 96 99 114 121 124 128 132 137 144 146 152 171 176 186 192 198 209 219 228 242 248 256 264 274 279 288 292 304 341 342 352 363 372 384 396 411 418 438 456 484 496 512 528 548 558 576 584 589 608 627 657 682 684 704 726 744 768 792 803 822 836 876 912 968 992 1023 1024 1056 1089 1096 1116 1152 1168 1178 1216 1233 1254 1314 1364 1368 1387 1408 1452 1488 1507 1536 1584 1606 1644 1672 1752 1767 1824 1881 1936 1984 2046 2048 2112 2178 2192 2232 2263 2299 2304 2336 2356 2409 2432 2466 2508 2603 2628 2728 2736 2774 2816 2904 2976 3014 3069 3072 3168 3212 3288 3344 3504 3534 3648 3751 3762 3872 3968 4092 4161 4224 4247 4356 4384 4464 4521 4526 4598 4608 4672 4712 4818 4864 4932 5016 5206 5256 5301 5456 5472 5548 5632 5808 5952 6028 6138 6144 6336 6424 6479 6576 6688 6789 6897 7008 7068 7227 7296 7502 7524 7744 7809 7936 8184 8322 8448 8494 8712 8768 8833 8928 9042 9052 9196 9216 9344 9424 9636 9728 9864 10001 10032 10412 10512 10602 10912 10944 11096 11253 11264 11616 11904 12056 12276 12483 12672 12741 12848 12958 13152 13376 13563 13578 13794 14016 14136 14454 14592 15004 15048 15257 15488 15618 15872 16368 16577 16644 16896 16988 17424 17536 17666 17856 18084 18104 18392 18432 18688 18848 19272 19437 19456 19728 20002 20064 20367 20691 20824 21024 21204 21824 21888 22192 22506 22528 23232 23427 23808 24112 24552 24893 24966 25344 25482 25696 25916 26304 26499 26752 27126 27156 27588 28032 28272 28633 28908 29184 30003 30008 30096 30514 30976 31236 31744 32736 33154 33288 33759 33792 33976 34848 35072 35332 35712 36168 36208 36784 37376 37696 38223 38544 38874 38912 39456 40004 40128 40734 41382 41648 42048 42408 42997 43648 43776 44384 45012 45771 46464 46717 46854 47616 48224 49104 49731 49786 49932 50688 50964 51392 51832 52608 52998 53504 54252 54312 55176 56064 56544 57266 57816 58311 58368 60006 60016 60192 61028 61952 62472 63488 65472 66308 66576 67518 67584 67952 69696 70144 70664 71269 71424 72336 72416 73568 74679 74752 75392 76446 77088 77748 78912 79497 80008 80256 80693 81468 82764 83296 84096 84816 85899 85994 87296 87552 88768 90009 90024 91542 92928 93434 93708 95232 96448 98208 99462 99572 99864 101376 101928 102784 103664 105216 105996 107008 108504 108624 110011 110352 112128 113088 114532 115632 116622 116736 120012 120032 120384 122056 123904 124944 128991 130944 132616 133152 135036 135904 137313 139392 140151 140288 141328 142538 142848 144672 144832 147136 149193 149358 149504 150784 152892 154176 155496 157824 158994 160016 160512 161386 162936 165528 166592 167827 168192 169632 171798 171988 174592 175104 177536 180018 180048 183084 185856 186868 187416 190019 190464 192896 196416 198924 199144 199728 202752 203856 205568 207328 210432 211992 213807 214016 217008 217248 220022 220704 224037 224256 226176 229064 231264 233244 240024 240064 240768 242079 244112 247808 249888 257697 257982 261888 265232 266304 270072 271808 273823 274626 278784 280302 280576 282656 285076 285696 289344 289664 294272 298386 298716 301568 305784 308352 310031 310992 314963 315648 317988 320032 321024 322772 325872 330033 331056 333184 335654 336384 339264 343596 343976 349184 350208 355072 360036 360096 366168 371712 373736 374832 380038 385792 386973 392832 397848 398288 399456 407712 411136 414656 420453 420864 423984 427614 428032 434016 434496 440044 441408 448074 448512 452352 458128 462528 466488 472967 480048 480128 481536 484158 488224 499776 503481 513887 515394 515964 523776 530464 532608 540144 543616 547646 549252 557568 560604 565312 570057 570152 571392 578688 579328 588544 596772 597432 603136 611568 616704 620062 621984 629926 631296 635976 640064 641421 642048 645544 651744 660066 662112 666368 671308 672768 678528 687192 687952 698368 710144 720072 720192 726237 732336 743424 747472 749664 760076 771584 773946 785664 795696 796576 798912 815424 821469 822272 829312 840906 841728 847968 855228 868032 868992 880088 882816 887623 896148 904704 916256 925056 930093 932976 944889 945934 960096 960256 963072 968316 976448 990099 999552 1006962 1027774 1030788 1031928 1047552 1060928 1065216 1080288 1087232 1095292 1098504 1115136 1121208 1130624 1140114 1140304 1157376 1158656 1177088 1193544 1194864 1206272 1210121 1223136 1233408 1240124 1243968 1259852 1262592 1271952 1280128 1282842 1284096 1291088 1303488 1320132 1324224 1332736 1342616 1345536 1357056 1374384 1375904 1418901 1420288 1440144 1440384 1452474 1464672 1494944 1499328 1510443 1520152 1541661 1543168 1547892 1571328 1591392 1593152 1597824 1630848 1642938 1644544 1658624 1681812 1695936 1710171 1710456 1736064 1737984 1760176 1765632 1775246 1792296 1809408 1832512 1850112 1860186 1865952 1889778 1891868 1920192 1920512 1926144 1936632 1952896 1980198 1999104 2013924 2055548 2061576 2063856 2090209 2095104 2121856 2130432 2160576 2174464 2190584 2197008 2230272 2242416 2261248 2280228 2280608 2314752 2317312 2354176 2387088 2389728 2420242 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39683968 39806976 40315264 40702464 40924092 41050944 41314816 41621096 41711616 42244224 42375168 42605904 42963712 43564356 43980288 44028928 44644464 45354672 45404832 45984598 46084608 46479168 46823733 46869504 47124712 47838208 47978496 48334176 48644864 49333152 49532544 50165016 50924544 50980864 52574016 53015301 53817984 54269952 54565456 54725472 54734592 56325632 56807872 57353472 58085808 58583118 58640384 59525952 59710464 60472896 60539776 61386138 61446144 61972224 62431644 63366336 63908856 64445568 64796479 65777536 65970432 66043392 66886688 68107248 68976897 69138432 70098688 70304256 70687068 71757312 72967296 72979456 73999728 75027502 75247524 76386816 76471296 77447744 78110824 78280704 78861024 79367936 80630528 81404928 81848184 82101888 82629632 83242192 84488448 85211808 85927424 87128712 87874677 87960576 88057856 89288928 90709344 90809664 91969196 92169216 92958336 93647466 93739008 94249424 95676416 96668352 97289728 98666304 99065088 100330032 101849088 105148032 106030602 107635968 109130912 109450944 109469184 112541253 112651264 113615744 114706944 116171616 117166236 119051904 119420928 120945792 121079552 122772276 123944448 124863288 126732672 127817712 128891136 129592958 131555072 131940864 132086784 133773376 136214496 137953794 140197376 140608512 141374136 143514624 145934592 145958912 147999456 150055004 150495048 152773632 152942592 154895488 156221648 157722048 158735872 161261056 162809856 163696368 164203776 165259264 166484384 168976896 170423616 171854848 174257424 175749354 175921152 178577856 181418688 181619328 183938392 184338432 185916672 187294932 188498848 193336704 194389437 194579456 197332608 198130176 200660064 206930691 210296064 212061204 215271936 218261824 218901888 218938368 225082506 225302528 227231488 229413888 232343232 234332472 238103808 241891584 242159104 245544552 247888896 249726576 253465344 255635424 257782272 259185916 263110144 263881728 264173568 267546752 272428992 275907588 280394752 281217024 282748272 287029248 291869184 295998912 300110008 300990096 305547264 309790976 312443296 315444096 317471744 322522112 327392736 328407552 332968768 337623759 337953792 340847232 343709696 348514848 351498708 357155712 362837376 363238656 367876784 371833344 374589864 376997696 386673408 388778874 389158912 394665216 396260352 401320128 413861382 420592128 424122408 430543872 436523648 437803776 437876736 450165012 454462976 458827776 464686464 468664944 476207616 483783168 484318208 491089104 495777792 499453152 506930688 511270848 515564544 518371832 526220288 527763456 535093504 544857984 551815176 560789504 565496544 583168311 583738368 591997824 600220016 601980192 619581952 624886592 630888192 634943488 645044224 654785472 656815104 665937536 675247518 675907584 681694464 697029696 702997416 712761269 714311424 725674752 726477312 735753568 743666688 749179728 753995392 773346816 777557748 789330432 792520704 802640256 827722764 841184256 848244816 861087744 873047296 875607552 900330024 908925952 929372928 937329888 952415232 967566336 968636416 982178208 998906304 1013861376 1022541696 1031129088 1036743664 1052440576 1070187008 1089715968 1103630352 1130993088 1166336622 1167476736 1183995648 1200440032 1203960384 1239163904 1249773184 1261776384 1309570944 1313630208 1331875072 1350495036 1363388928 1394059392 1405994832 1425522538 1428622848 1451349504 1452954624 1471507136 1487333376 1498359456 1507990784 1546693632 1555115496 1578660864 1605280512 1655445528 1682368512 1696489632 1746094592 1751215104 1800660048 1817851904 1858745856 1874659776 1904830464 1935132672 1964356416 1997812608 2027722752 2045083392 2073487328 2138283807 2140374016 2179431936 2207260704 2261986176 2332673244 2367991296 2400880064 2407920768 2478327808 2499546368 2523552768 2619141888 2663750144 2700990072 2726777856 2788118784 2811989664 2851045076 2857245696 2902699008 2905909248 2943014272 2996718912 3015981568 3093387264 3110230992 3157321728 3210561024 3310891056 3392979264 3492189184 3502430208 3601320096 3717491712 3749319552 3928712832 3995625216 4090166784 4146974656 4276567614 4280748032 4358863872 4414521408 4523972352 4665346488 4735982592 4801760128 4815841536 4999092736 5047105536 5238283776 5327500288 5401980144 5453555712 5576237568 5623979328 5702090152 5714491392 5805398016 5886028544 5993437824 6031963136 6220461984 6414851421 6421122048 6621782112 6785958528 6984378368 7202640192 7434983424 7498639104 7857425664 7991250432 8180333568 8293949312 8553135228 8717727744 8829042816 9047944704 9330692976 9471965184 9603520256 9631683072 9998185472 10476567552 10655000576 10803960288 11152475136 11247958656 11404180304 11772057088 11986875648 12063926272 12440923968 12829702842 12842244096 13243564224 13571917056 14405280384 14997278208 15714851328 15982500864 16360667136 16587898624 17106270456 17658085632 18095889408 18661385952 19207040512 19263366144 19996370944 20953135104 21607920576 22304950272 22495917312 22808360608 23544114176 23973751296 24881847936 25659405684 26487128448 27143834112 28810560768 29994556416 31429702656 31965001728 33175797248 34212540912 35316171264 36191778816 37322771904 38414081024 38526732288 43215841152 44991834624 45616721216 47088228352 47947502592 49763695872 51318811368 52974256896 54287668224 57621121536 59989112832 62859405312 66351594496 68425081824 70632342528 74645543808 76828162048 86431682304 89983669248 91233442432 95895005184 99527391744 102637622736 105948513792 108575336448 115242243072 132703188992 136850163648 141264685056 149291087616 172863364608 179967338496 182466884864 199054783488 205275245472 211897027584 230484486144 273700327296 298582175232 345726729216 364933769728 398109566976 410550490944 423794055168 547400654592 597164350464 691453458432 729867539456 821100981888 1094801309184 1194328700928 1459735078912 1642201963776 2189602618368 3284403927552 4379205236736 6568807855104 13137615710208
- Sum of all divisors σ(n): 46274280998400
- Sum of proper divisors (its aliquot sum) s(n): 33136665288192
- 13137615710208 is an abundant number, because the sum of its proper divisors (33136665288192) is greater than itself. Its abundance is 19999049577984
Bases of 13137615710208
- Binary: 101111110010110101101110101011101000000000002
- Hexadecimal: 0xBF2D6EAE800
- Base-36: 4NNC56V40
Squares and roots of 13137615710208
- 13137615710208 squared (131376157102082) is 172596946549104052235403264
- 13137615710208 cubed (131376157102083) is 2267512356517439847954708182176641318912
-
The
square root of 13137615710208 is 3624584.9017795127 -
The
cube root of 13137615710208 is 23596.0252033067
Scales and comparisons
How big is 13137615710208?- 13,137,615,710,208 seconds is equal to 417,735 years, 28 weeks, 1 day, 9 hours, 16 minutes, 48 seconds.
-
To count from 1 to 13,137,615,710,208 would take you about one million, forty-four thousand, three hundred thirty-eight 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 13137615710208 cubic inches would be around 1966.3 feet tall.
Recreational maths with 13137615710208
- 13137615710208 backwards is 80201751673131
- The number of decimal digits it has is: 14
- The sum of 13137615710208's digits is 45
- More coming soon!
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"Number 13137615710208 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
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Numbermatics. (2024). Number 13137615710208 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/13137615710208/
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The information we have on file for 13137615710208 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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