138417201375507144
138,417,201,375,507,144 is an even composite number composed of five prime numbers multiplied together.
What does the number 138417201375507144 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 768 divisors.
138417201375507144 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 138417201375507144:
23 × 35 × 593 × 1073 × 283
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 59 × 59 × 59 × 107 × 107 × 107 × 283)See below for interesting mathematical facts about the number 138417201375507144 from the Numbermatics database.
Names of 138417201375507144
- Cardinal: 138417201375507144 can be written as One hundred thirty-eight quadrillion, four hundred seventeen trillion, two hundred one billion, three hundred seventy-five million, five hundred seven thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.38417201375507144 × 1017
Factors of 138417201375507144
Divisors of 138417201375507144
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 6 8 9 12 18 24 27 36 54 59 72 81 107 108 118 162 177 214 216 236 243 283 321 324 354 428 472 486 531 566 642 648 708 849 856 963 972 1062 1132 1284 1416 1593 1698 1926 1944 2124 2264 2547 2568 2889 3186 3396 3481 3852 4248 4779 5094 5778 6313 6372 6792 6962 7641 7704 8667 9558 10188 10443 11449 11556 12626 12744 13924 14337 15282 16697 17334 18939 19116 20376 20886 22898 22923 23112 25252 26001 27848 28674 30281 30564 31329 33394 34347 34668 37878 38232 41772 45796 45846 50091 50504 52002 56817 57348 60562 61128 62658 66788 68694 68769 69336 75756 83544 90843 91592 91692 93987 100182 103041 104004 113634 114696 121124 125316 133576 137388 137538 150273 151512 170451 181686 183384 187974 200364 205379 206082 208008 227268 242248 250632 272529 274776 275076 281961 300546 309123 340902 363372 372467 375948 400728 410758 412164 450819 454536 511353 545058 550152 563922 601092 616137 618246 675491 681804 726744 744934 751896 817587 821516 824328 845883 901638 927369 985123 1022706 1090116 1117401 1127844 1202184 1225043 1232274 1236492 1350982 1352457 1363608 1489868 1534059 1635174 1643032 1691766 1786579 1803276 1848411 1854738 1970246 2026473 2045412 2180232 2234802 2255688 2450086 2452761 2464548 2472984 2701964 2704914 2782107 2955369 2979736 3068118 3240067 3270348 3352203 3383532 3573158 3606552 3675129 3696822 3709476 3940492 4052946 4057371 4090824 4469604 4900172 4905522 4929096 5359737 5403928 5409828 5545233 5564214 5910738 6079419 6136236 6480134 6540696 6704406 6767064 7146316 7350258 7358283 7393644 7418952 7880984 8105892 8114742 8866107 8939208 9720201 9800344 9811044 10056609 10719474 10819656 11025387 11090466 11128428 11821476 12158838 12272472 12960268 13408812 14292632 14700516 14716566 14787288 16079211 16211784 16229484 16635699 17732214 18238257 19440402 19622088 20113218 21438948 21975553 22050774 22180932 22256856 23642952 24317676 25920536 26598321 26817624 29160603 29401032 29433132 30169827 32158422 32458968 33076161 33271398 35464428 36476514 38880804 39853969 40226436 42877896 43951106 44101548 44361864 48237633 48635352 49907097 53196642 54714771 58122257 58321206 58866264 60339654 64316844 65926659 66152322 66542796 70928856 72277537 72953028 77761608 79707938 79794963 80452872 87481809 87902212 88203096 90509481 96475266 99228483 99814194 105408161 106393284 109429542 116244514 116642412 119561907 120679308 128633688 131853318 132304644 133085592 144555074 144712899 145906056 159415876 159589926 164144313 174366771 174963618 175804424 181018962 191163953 192950532 197779977 198456966 199628388 210816322 212786568 216832611 218859084 232489028 233284824 239123814 239384889 241358616 262445427 263706636 264609288 289110148 289425798 297685449 316224483 318831752 319179852 328288626 346687169 348733542 349927236 358685721 362037924 382327906 385901064 395559954 396913932 399256776 421632644 433665222 434138697 437718168 464978056 478247628 478769778 523100313 524890854 527413272 573491859 578220296 578851596 593339931 595370898 632448966 638359704 650497833 656577252 693374338 697467084 699854472 717371442 724075848 764655812 787336281 791119908 793827864 843265288 867330444 868277394 948673449 956495256 957539556 1040061507 1046200626 1049781708 1076057163 1146983718 1157703192 1186679862 1190741796 1264897932 1300995666 1313154504 1386748676 1394934168 1434742884 1529311624 1569300939 1574672562 1582239816 1720475577 1734660888 1736554788 1780019793 1897346898 1915079112 1951493499 2080123014 2092401252 2099563416 2152114326 2293967436 2351384171 2373359724 2381483592 2529795864 2601991332 2773497352 2846020347 2869485768 3120184521 3138601878 3149345124 3228171489 3440951154 3473109576 3560039586 3794693796 3902986998 4160246028 4184802504 4264374683 4304228652 4587934872 4702768342 4707902817 4746719448 5161426731 5203982664 5340059379 5692040694 5854480497 6219081499 6240369042 6277203756 6298690248 6456342978 6881902308 7054152513 7120079172 7589387592 7805973996 8320492056 8528749366 8538061041 8608457304 9360553563 9405536684 9415805634 9684514467 10322853462 10680118758 11278673227 11384081388 11708960994 12438162998 12480738084 12554407512 12793124049 12912685956 13763804616 14108305026 14123708451 14240158344 15484280193 15611947992 17057498732 17076122082 17563441491 18657244497 18721107126 18811073368 18831611268 19369028934 20454542971 20645706924 21162457539 21360237516 22557346454 22768162776 23417921988 24876325996 24961476168 25586248098 25614183123 25825371912 28081660689 28216610052 28247416902 30968560386 33836019681 34114997464 34152244164 35126882982 37314488994 37442214252 37663222536 38379372147 38738057868 40909085942 41291413848 42324915078 42720475032 45114692908 46452840579 46835843976 49752651992 51172496196 51228366246 55971733491 56163321378 56433220104 56494833804 61363628913 61937120772 63487372617 67672039362 68304488328 70253765964 74628977988 74884428504 76758744294 77476115736 81818171884 84244982067 84649830156 90229385816 92905681158 101508059043 102344992392 102456732492 111943466982 112326642756 112989667608 115138116441 122727257826 123874241544 126974745234 135344078724 140507531928 149257955976 153517488588 163636343768 167915200473 168489964134 169299660312 184090886739 185811362316 190462117851 203016118086 204913464984 223886933964 224653285512 230276232882 245454515652 251598106297 253949490468 270688157448 304524177129 307034977176 335830400946 336979928268 345414349323 368181773478 371622724632 380924235702 406032236172 447773867928 460552465764 490909031304 503196212594 503745601419 507898980936 552272660217 571386353553 609048354258 665441720393 671660801892 673959856536 690828698646 736363546956 754794318891 761848471404 812064472344 913572531387 921104931528 1006392425188 1007491202838 1036243047969 1104545320434 1142772707106 1206818035289 1218096708516 1330883440786 1343321603784 1381657397292 1472727093912 1509588637782 1511236804257 1523696942808 1656817980651 1827145062774 1996325161179 2012784850376 2014982405676 2072486095938 2209090640868 2264382956673 2285545414212 2413636070578 2436193417032 2661766881572 2740717594161 2763314794584 3019177275564 3022473608514 3313635961302 3620454105867 3654290125548 3992650322358 4029964811352 4144972191876 4418181281736 4528765913346 4571090828424 4827272141156 4970453941953 5323533763144 5481435188322 5988975483537 6038354551128 6044947217028 6627271922604 6793148870019 7240908211734 7308580251096 7985300644716 8289944383752 9057531826692 9654544282312 9940907883906 10861362317601 10962870376644 11977950967074 12089894434056 13254543845208 13586297740038 14481816423468 15970601289432 17966926450611 18115063653384 19881815767812 20379446610057 21722724635202 21925740753288 23955901934148 27172595480076 28963632846936 32584086952803 35933852901222 39763631535624 40758893220114 43445449270404 47911803868296 53900779351833 54345190960152 61138339830171 65168173905606 71202264082051 71867705802444 81517786440228 86890898540808 97752260858409 107801558703666 122276679660342 130336347811212 142404528164102 143735411604888 161702338055499 163035572880456 195504521716818 213606792246153 215603117407332 244553359320684 260672695622424 284809056328204 293256782575227 323404676110998 391009043433636 427213584492306 431206234814664 489106718641368 569618112656408 586513565150454 640820376738459 646809352221996 782018086867272 854427168984612 1173027130300908 1281640753476918 1293618704443992 1708854337969224 1922461130215377 2346054260601816 2563281506953836 3844922260430754 5126563013907672 5767383390646131 7689844520861508 11534766781292262 15379689041723016 17302150171938393 23069533562584524 34604300343876786 46139067125169048 69208600687753572 138417201375507144
- Sum of all divisors σ(n): 400608575902080000
- Sum of proper divisors (its aliquot sum) s(n): 262191374526572856
- 138417201375507144 is an abundant number, because the sum of its proper divisors (262191374526572856) is greater than itself. Its abundance is 123774173151065712
Bases of 138417201375507144
- Binary: 1111010111100000110110110000101101100101001110010110010002
- Hexadecimal: 0x1EBC1B616CA72C8
- Base-36: 11UWSWGWQSI0
Squares and roots of 138417201375507144
- 138417201375507144 squared (1384172013755071442) is 19159321636627696796973503195036736
- 138417201375507144 cubed (1384172013755071443) is 2651979681195207018461209798951010117739055710441984
-
The
square root of 138417201375507144 is 372044622.8283741021 -
The
cube root of 138417201375507144 is 517285.1622885445
Scales and comparisons
How big is 138417201375507144?- 138,417,201,375,507,144 seconds is equal to 4,401,238,851 years, 11 weeks, 5 days, 3 hours, 32 minutes, 24 seconds.
-
To count from 1 to 138,417,201,375,507,144 would take you about thirteen billion, two hundred three million, seven hundred sixteen thousand, five hundred fifty-three 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 138417201375507144 cubic inches would be around 43107.1 feet tall.
Recreational maths with 138417201375507144
- 138417201375507144 backwards is 441705573102714831
- The number of decimal digits it has is: 18
- The sum of 138417201375507144's digits is 63
- More coming soon!
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The information we have on file for 138417201375507144 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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