138201717841408
138,201,717,841,408 is an even composite number composed of six prime numbers multiplied together.
What does the number 138201717841408 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1080 divisors.
138201717841408 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 138201717841408:
29 × 132 × 192 × 31 × 41 × 592
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 13 × 13 × 19 × 19 × 31 × 41 × 59 × 59)See below for interesting mathematical facts about the number 138201717841408 from the Numbermatics database.
Names of 138201717841408
- Cardinal: 138201717841408 can be written as One hundred thirty-eight trillion, two hundred one billion, seven hundred seventeen million, eight hundred forty-one thousand, four hundred eight.
Scientific notation
- Scientific notation: 1.38201717841408 × 1014
Factors of 138201717841408
Divisors of 138201717841408
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 2 4 8 13 16 19 26 31 32 38 41 52 59 62 64 76 82 104 118 124 128 152 164 169 208 236 247 248 256 304 328 338 361 403 416 472 494 496 512 533 589 608 656 676 722 767 779 806 832 944 988 992 1066 1121 1178 1216 1271 1312 1352 1444 1534 1558 1612 1664 1829 1888 1976 1984 2132 2242 2356 2419 2432 2542 2624 2704 2888 3068 3116 3211 3224 3328 3481 3658 3776 3952 3968 4264 4484 4693 4712 4838 4864 5084 5239 5248 5408 5776 6136 6232 6422 6448 6656 6929 6962 7316 7552 7657 7904 7936 8528 8968 9386 9424 9676 9728 9971 10127 10168 10478 10496 10816 11191 11552 12272 12464 12844 12896 13858 13924 14573 14632 14801 15104 15314 15808 15872 16523 17056 17936 18772 18848 19352 19942 20254 20336 20956 20992 21299 21632 22382 23104 23777 24149 24544 24928 25688 25792 27716 27848 29146 29264 29602 30208 30628 31447 31616 33046 34112 34751 35872 37544 37696 38704 39884 40508 40672 41912 42598 43264 44764 45253 45961 46208 47554 48298 49088 49856 51376 51584 55432 55696 58292 58528 59204 61009 61256 62894 63232 66092 66139 68224 69502 71744 74989 75088 75392 77408 79768 81016 81344 83824 85196 86528 89528 90506 91922 92416 95108 96596 98176 99541 99712 102752 103168 107911 110864 111392 116584 117056 118408 122018 122512 125788 126464 131651 132184 132278 136448 139004 142721 143488 145483 149978 150176 150784 154816 159536 162032 162688 167648 170392 179056 181012 183844 184832 189449 190216 192413 193192 196352 199082 199424 205504 206336 214799 215822 221728 222784 233168 234112 236816 244036 245024 251576 263302 264368 264556 272896 276887 278008 285442 286976 290966 299956 300352 301568 309101 309632 313937 319072 324064 325376 335296 340784 358112 362024 367688 378898 380432 384826 386384 392704 398164 398848 408811 411008 429598 431644 443456 445568 451763 458831 466336 468224 473632 488072 490048 503152 526604 528736 529112 553774 556016 570884 573952 581932 588289 597493 599912 600704 618202 619264 627874 638144 648128 650752 660269 670592 681568 716224 724048 735376 757796 760864 769652 772768 796328 817622 822016 859196 859807 863288 873259 886912 891136 903526 917662 932672 936448 947264 974857 976144 980096 1006304 1053208 1057472 1058224 1107548 1112032 1141768 1163864 1176578 1194986 1199824 1201408 1236404 1238528 1255748 1256641 1276288 1296256 1320538 1341184 1363136 1402843 1424791 1432448 1448096 1470752 1515592 1521728 1539304 1545536 1592656 1635244 1644032 1718392 1719614 1726576 1746518 1773824 1782272 1807052 1835324 1855373 1865344 1891279 1894528 1949714 1952288 1960192 2012608 2050309 2106416 2114944 2116448 2215096 2224064 2283536 2327728 2353156 2389972 2399648 2402816 2472808 2501369 2511496 2513282 2552576 2592512 2641076 2682368 2711699 2726272 2805686 2849582 2864896 2896192 2941504 3031184 3043456 3078608 3091072 3185312 3270488 3436784 3439228 3453152 3493036 3547648 3599531 3614104 3670648 3710746 3730688 3782558 3789056 3899428 3904576 3920384 4025216 4081181 4100618 4212832 4229888 4232896 4424351 4430192 4448128 4567072 4655456 4706312 4779944 4799296 4945616 5002738 5022992 5026564 5105152 5185024 5282152 5423398 5452544 5611372 5699164 5729792 5792384 5872919 5883008 5964803 6062368 6086912 6157216 6182144 6370624 6540976 6873568 6878456 6906304 6986072 7199062 7228208 7341296 7421492 7461376 7565116 7578112 7767409 7798856 7809152 8050432 8162362 8201236 8425664 8459776 8465792 8583497 8848702 8860384 8896256 9134144 9310912 9412624 9559888 9598592 9891232 10005476 10045984 10053128 10564304 10846796 10905088 11177491 11222744 11352367 11398328 11584768 11745838 11766016 11929606 12124736 12173824 12314432 12364288 12673141 12741248 13081952 13747136 13756912 13812608 13972144 14398124 14456416 14682592 14842984 15130232 15534818 15597712 15618304 16100864 16324724 16336333 16402472 16851328 16931584 17166994 17697404 17720768 17792512 18236959 18268288 18522283 18621824 18825248 19119776 19197184 19782464 20010952 20091968 20106256 21128608 21693592 22354982 22445488 22704734 22796656 23169536 23491676 23532032 23859212 24119849 24249472 24628864 25346282 25482496 26163904 26654017 27071029 27494272 27513824 27625216 27944288 28796248 28912832 29365184 29685968 30260464 31069636 31195424 31236608 32649448 32672666 32804944 33702656 33863168 34333988 35252087 35394808 35441536 36473918 36536576 37044566 37243648 37650496 38239552 38394368 38955871 39564928 40021904 40183936 40212512 42257216 43387184 44709964 44890976 45409468 45593312 46983352 47718424 48239698 48498944 49257728 50692564 50964992 51522281 52327808 53308034 54142058 54988544 55027648 55250432 55888576 57516563 57592496 57825664 58730368 59371936 60520928 62139272 62390848 65298896 65345332 65609888 67405312 68667976 70504174 70789616 70883072 72947836 73073152 74089132 74487296 75300992 76479104 77542439 77911742 79129856 80043808 80367872 80425024 84062669 84514432 86774368 89419928 89781952 90818936 91186624 93966704 95436848 96479396 96997888 98515456 101385128 103044562 104655616 106616068 108284116 109977088 110055296 111585461 111777152 115033126 115184992 115651328 117460736 118743872 121041856 124278544 124781696 130597792 130690664 131219776 137335952 141008348 141579232 141766144 145895672 147580771 148178264 150601984 152958208 155084878 155823484 158259712 160087616 160735744 160850048 168125338 169028864 173548736 178839856 179563904 181637872 182373248 187933408 190873696 192958792 202770256 206089124 209311232 212372329 213232136 216568232 220110592 223170922 223554304 230066252 230369984 231302656 234921472 237487744 240789679 242083712 248557088 249563392 261195584 261381328 262439552 274671904 282016696 283158464 291791344 295161542 296356528 301203968 305916416 310169756 311646968 320175232 321700096 336250676 338057728 346502221 347097472 351923377 357679712 359127808 363275744 364746496 375866816 381747392 385917584 405540512 412178248 424744658 426464272 433136464 440221184 446341844 447108608 458277131 460132504 460739968 474975488 481579358 484167424 497114176 499126784 506426323 522391168 522762656 524879104 549343808 564033392 566316928 583582688 590323084 592713056 620339512 623293936 640350464 643400192 669789653 672501352 693004442 694194944 703846754 715359424 718255616 726551488 729492992 747715319 751733632 763494784 771835168 811081024 824356496 849489316 852928544 866272928 892683688 916554262 920265008 921479936 949950976 963158716 968334848 994228352 1012852646 1044782336 1045525312 1049758208 1092814697 1098687616 1128066784 1132633856 1167165376 1180646168 1185426112 1240679024 1246587872 1280700928 1339579306 1345002704 1386008884 1388389888 1407693508 1430718848 1453102976 1495430638 1503467264 1526989568 1543670336 1597190711 1622162048 1648712992 1698978632 1705857088 1732545856 1785367376 1833108524 1840530016 1842959872 1926317432 1988456704 2025705292 2089564672 2091050624 2185629394 2197375232 2256133568 2265267712 2334330752 2361292336 2370852224 2481358048 2493175744 2679158612 2690005408 2772017768 2815387016 2861437696 2906205952 2990861276 3006934528 3053979136 3087340672 3194381422 3244324096 3297425984 3397957264 3411714176 3465091712 3570734752 3666217048 3681060032 3852634864 3976913408 4051410584 4182101248 4371258788 4394750464 4512267136 4575003901 4668661504 4722584672 4741704448 4962716096 4986351488 5358317224 5380010816 5544035536 5630774032 5722875392 5812411904 5981722552 6174681344 6388762844 6488648192 6583542199 6594851968 6795914528 6823428352 6930183424 7141469504 7332434096 7362120064 7705269728 8102821168 8364202496 8707265489 8742517576 9024534272 9150007802 9337323008 9445169344 9483408896 9925432192 9972702976 10716634448 10760021632 11088071072 11261548064 11963445104 12349362688 12777525688 13167084398 13189703936 13591829056 13646856704 13860366848 14206591061 14282939008 14664868192 14724240128 15410539456 16205642336 17414530978 17485035152 18049068544 18300015604 18890338688 19850864384 19945405952 20763479243 21433268896 21520043264 22176142144 22523096128 23926890208 25555051376 26334168796 26379407872 27183658112 28413182122 28565878016 29329736384 29448480256 30821078912 32411284672 34829061956 34970070304 36600031208 37780677376 39701728768 41526958486 42866537792 43040086528 44352284288 45046192256 47853780416 51110102752 52668337592 54367316224 56826364244 57131756032 58659472768 61642157824 64822569344 69658123912 69940140608 73200062416 75561354752 83053916972 85733075584 88704568576 90092384512 95707560832 102220205504 105336675184 108734632448 113652728488 117318945536 123284315648 129645138688 139316247824 139880281216 146400124832 166107833944 171466151168 177409137152 180184769024 191415121664 204440411008 210673350368 227305456976 234637891072 259290277376 269925230159 278632495648 279760562432 292800249664 332215667888 342932302336 382830243328 408880822016 421346700736 454610913952 539850460318 557264991296 559521124864 585600499328 664431335776 817761644032 842693401472 909221827904 1079700920636 1114529982592 1171200998656 1328862671552 1685386802944 1818443655808 2159401841272 2229059965184 2342401997312 2657725343104 3370773605888 3636887311616 4318803682544 4458119930368 5315450686208 7273774623232 8637607365088 10630901372416 17275214730176 34550429460352 69100858920704 138201717841408
- Sum of all divisors σ(n): 339450845380416
- Sum of proper divisors (its aliquot sum) s(n): 201249127539008
- 138201717841408 is an abundant number, because the sum of its proper divisors (201249127539008) is greater than itself. Its abundance is 63047409697600
Bases of 138201717841408
- Binary: 111110110110001100110000100110010011110000000002
- Hexadecimal: 0x7DB1984C9E00
- Base-36: 1CZKZQJG1S
Squares and roots of 138201717841408
- 138201717841408 squared (1382017178414082) is 19099714814316150303039422464
- 138201717841408 cubed (1382017178414083) is 2639613397619480995194241897392965064589312
-
The
square root of 138201717841408 is 11755922.6707820769 -
The
cube root of 138201717841408 is 51701.6591796935
Scales and comparisons
How big is 138201717841408?- 138,201,717,841,408 seconds is equal to 4,394,387 years, 7 weeks, 2 days, 11 hours, 3 minutes, 28 seconds.
-
To count from 1 to 138,201,717,841,408 would take you about ten million, nine hundred eighty-five thousand, nine hundred sixty-seven 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 138201717841408 cubic inches would be around 4308.5 feet tall.
Recreational maths with 138201717841408
- 138201717841408 backwards is 804148717102831
- The number of decimal digits it has is: 15
- The sum of 138201717841408's digits is 55
- More coming soon!
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The information we have on file for 138201717841408 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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