138739268484857376
138,739,268,484,857,376 is an even composite number composed of five prime numbers multiplied together.
What does the number 138739268484857376 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1512 divisors.
138739268484857376 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, five hundred twelve divisors.
Prime factorization of 138739268484857376:
25 × 38 × 7 × 176 × 3911
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 17 × 17 × 17 × 17 × 17 × 17 × 3911)See below for interesting mathematical facts about the number 138739268484857376 from the Numbermatics database.
Names of 138739268484857376
- Cardinal: 138739268484857376 can be written as One hundred thirty-eight quadrillion, seven hundred thirty-nine trillion, two hundred sixty-eight billion, four hundred eighty-four million, eight hundred fifty-seven thousand, three hundred seventy-six.
Scientific notation
- Scientific notation: 1.38739268484857376 × 1017
Factors of 138739268484857376
Divisors of 138739268484857376
- Number of divisors d(n): 1512
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28 32 34 36 42 48 51 54 56 63 68 72 81 84 96 102 108 112 119 126 136 144 153 162 168 189 204 216 224 238 243 252 272 288 289 306 324 336 357 378 408 432 459 476 486 504 544 567 578 612 648 672 714 729 756 816 864 867 918 952 972 1008 1071 1134 1156 1224 1296 1377 1428 1458 1512 1632 1701 1734 1836 1904 1944 2016 2023 2142 2187 2268 2312 2448 2592 2601 2754 2856 2916 3024 3213 3402 3468 3672 3808 3888 3911 4046 4131 4284 4374 4536 4624 4896 4913 5103 5202 5508 5712 5832 6048 6069 6426 6561 6804 6936 7344 7776 7803 7822 8092 8262 8568 8748 9072 9248 9639 9826 10206 10404 11016 11424 11664 11733 12138 12393 12852 13122 13608 13872 14688 14739 15309 15606 15644 16184 16524 17136 17496 18144 18207 19278 19652 20412 20808 22032 23328 23409 23466 24276 24786 25704 26244 27216 27377 27744 28917 29478 30618 31212 31288 32368 33048 34272 34391 34992 35199 36414 37179 38556 39304 40824 41616 44064 44217 45927 46818 46932 48552 49572 51408 52488 54432 54621 54754 57834 58956 61236 62424 62576 64736 66096 66487 68782 69984 70227 70398 72828 74358 77112 78608 81648 82131 83232 83521 86751 88434 91854 93636 93864 97104 99144 102816 103173 104976 105597 109242 109508 111537 115668 117912 122472 124848 125152 132192 132651 132974 137564 140454 140796 145656 148716 154224 157216 163296 163863 164262 167042 173502 176868 183708 187272 187728 194208 198288 199461 206346 209952 210681 211194 218484 219016 223074 231336 235824 244944 246393 249696 250563 260253 265302 265948 275128 280908 281592 291312 297432 308448 309519 316791 327726 328524 334084 347004 353736 367416 374544 375456 396576 397953 398922 412692 421362 422388 436968 438032 446148 462672 465409 471648 489888 491589 492786 501126 520506 530604 531896 550256 561816 563184 582624 584647 594864 598383 619038 632043 633582 655452 657048 668168 694008 707472 734832 739179 749088 751689 780759 795906 797844 825384 842724 844776 873936 876064 892296 925344 928557 930818 950373 983178 985572 1002252 1041012 1061208 1063792 1100512 1123632 1126368 1130279 1169294 1189728 1193859 1196766 1238076 1264086 1267164 1310904 1314096 1336336 1388016 1396227 1414944 1419857 1469664 1474767 1478358 1503378 1561518 1591812 1595688 1650768 1685448 1689552 1747872 1753941 1784592 1795149 1857114 1861636 1896129 1900746 1966356 1971144 2004504 2082024 2122416 2127584 2217537 2247264 2255067 2260558 2338588 2387718 2393532 2476152 2528172 2534328 2621808 2628192 2672672 2776032 2785671 2792454 2839714 2851119 2949534 2956716 3006756 3123036 3183624 3191376 3301536 3370896 3379104 3390837 3507882 3569184 3581577 3590298 3714228 3723272 3792258 3801492 3932712 3942288 4009008 4164048 4188681 4244832 4259571 4424301 4435074 4510134 4521116 4677176 4775436 4787064 4952304 5056344 5068656 5243616 5261823 5385447 5571342 5584908 5679428 5702238 5899068 5913432 6013512 6246072 6367248 6382752 6652611 6741792 6765201 6781674 7015764 7163154 7180596 7428456 7446544 7584516 7602984 7865424 7884576 7911953 8018016 8328096 8357013 8377362 8519142 8553357 8848602 8870148 9020268 9042232 9354352 9550872 9574128 9904608 9938999 10112688 10137312 10172511 10523646 10744731 10770894 11142684 11169816 11358856 11404476 11798136 11826864 12027024 12492144 12566043 12734496 12778713 13272903 13305222 13530402 13563348 14031528 14326308 14361192 14856912 14893088 15169032 15205968 15730848 15785469 15823906 16156341 16714026 16754724 17038284 17106714 17697204 17740296 18040536 18084464 18708704 19101744 19148256 19214743 19877998 19957833 20225376 20295603 20345022 21047292 21489462 21541788 22285368 22339632 22717712 22808952 23596272 23653728 23735859 24054048 24137569 24984288 25071039 25132086 25557426 25660071 26545806 26610444 27060804 27126696 28063056 28652616 28722384 29713824 29816997 30338064 30411936 30517533 31570938 31647812 32234193 32312682 33428052 33509448 34076568 34213428 35394408 35480592 36081072 36168928 37698129 38203488 38336139 38429486 39755996 39915666 40591206 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130419544878 130737111372 133273457448 138427529688 140770302408 141113072592 145984017312 149050908432 149413841568 149932639629 155485700356 158366590209 158752206666 164232019476 164631918024 168090571764 173892726504 174316148496 177697943264 184570039584 185210907777 187693736544 188804064718 196105667058 199910186172 207641294532 211155453612 211669608888 218976025968 219509224032 224120762352 231856968672 233228550534 237304336608 238128309999 246348029214 246947877036 252135857646 260839089756 261474222744 266546914896 276855059376 281540604816 282226145184 283206097077 294158500587 298101816864 299865279258 310971400712 316733180418 317504413332 328464038952 329263836048 336181143528 347785453008 348632296992 349842825801 369522043821 370421815554 377608129436 392211334116 399820372344 415282589064 422310907224 423339217776 437952051936 448241524704 449797918887 466457101068 476256619998 492696058428 493895754072 504271715292 521678179512 522948445488 533093829792 553710118752 555632723331 563081209632 566412194154 588317001174 599730558516 621942801424 633466360836 635008826664 656928077904 658527672096 660814226513 672362287056 695570906016 699685651602 714384929997 739044087642 740843631108 755216258872 784422668232 799640744688 830565178128 844621814448 846678435552 849618291231 882475501761 899595837774 932914202136 952513239996 985392116856 987791508144 1008543430584 1043356359024 1045896890976 1049528477403 1108566131463 1111265446662 1132824388308 1176634002348 1199461117032 1243885602848 1266932721672 1270017653328 1313856155808 1321628453026 1344724574112 1349393756661 1399371303204 1428769859994 1478088175284 1481687262216 1510432517744 1568845336464 1599281489376 1661130356256 1666898169993 1689243628896 1699236582462 1764951003522 1799191675548 1865828404272 1905026479992 1970784233712 1975583016288 1982442679539 2017086861168 2086712718048 2099056954806 2143154789991 2217132262926 2222530893324 2265648776616 2353268004696 2398922234064 2533865443344 2540035306656 2548854873693 2643256906052 2698787513322 2798742606408 2857539719988 2956176350568 2963374524432 3020865035488 3137690672928 3148585432209 3333796339986 3398473164924 3529902007044 3598383351096 3731656808544 3810052959984 3941568467424 3964885359078 4034173722336 4048181269983 4198113909612 4286309579982 4434264525852 4445061786648 4531297553232 4706536009392 4797844468128 5000694509979 5067730886688 5097709747386 5286513812104 5397575026644 5597485212816 5715079439976 5912352701136 5926749048864 5947328038617 6297170864418 6667592679972 6796946329848 7059804014088 7196766702192 7620105919968 7646564621079 7929770718156 8096362539966 8396227819224 8572619159964 8868529051704 8890123573296 9062595106464 9413072018784 9445756296627 10001389019958 10195419494772 10573027624208 10795150053288 11194970425632 11430158879952 11824705402272 11894656077234 12144543809949 12594341728836 13335185359944 13593892659696 14119608028176 14393533404384 15002083529937 15293129242158 15859541436312 16192725079932 16792455638448 17145238319928 17737058103408 17780247146592 17841984115851 18891512593254 20002778039916 20390838989544 21146055248416 21590300106576 22860317759904 22939693863237 23789312154468 24289087619898 25188683457672 26670370719888 27187785319392 28239216056352 28337268889881 30004167059874 30586258484316 31719082872624 32385450159864 33584911276896 34290476639856 35474116206816 35683968231702 36433631429847 37783025186508 40005556079832 40781677979088 43180600213152 45879387726474 47578624308936 48578175239796 50377366915344 53340741439776 53525952347553 56674537779762 60008334119748 61172516968632 63438165745248 64770900319728 68580953279712 68819081589711 71367936463404 72867262859694 75566050373016 80011112159664 81563355958176 85011806669643 91758775452948 95157248617872 97156350479592 100754733830688 107051904695106 113349075559524 120016668239496 122345033937264 129541800639456 137638163179422 142735872926808 145734525719388 151132100746032 160022224319328 160577857042659 170023613339286 183517550905896 190314497235744 194312700959184 206457244769133 214103809390212 226698151119048 240033336478992 244690067874528 255035420008929 275276326358844 285471745853616 291469051438776 302264201492064 321155714085318 340047226678572 367035101811792 388625401918368 412914489538266 428207618780424 453396302238096 480066672957984 481733571127977 510070840017858 550552652717688 570943491707232 582938102877552 619371734307399 642311428170636 680094453357144 734070203623584 825828979076532 856415237560848 906792604476192 963467142255954 1020141680035716 1101105305435376 1165876205755104 1238743468614798 1284622856341272 1360188906714288 1445200713383931 1651657958153064 1712830475121696 1926934284511908 2040283360071432 2202210610870752 2477486937229596 2569245712682544 2720377813428576 2890401426767862 3303315916306128 3853868569023816 4080566720142864 4335602140151793 4954973874459192 5138491425365088 5780802853535724 6606631832612256 7707737138047632 8161133440285728 8671204280303586 9909947748918384 11561605707071448 15415474276095264 17342408560607172 19819895497836768 23123211414142896 34684817121214344 46246422828285792 69369634242428688 138739268484857376
- Sum of all divisors σ(n): 497612269726318656
- Sum of proper divisors (its aliquot sum) s(n): 358873001241461280
- 138739268484857376 is an abundant number, because the sum of its proper divisors (358873001241461280) is greater than itself. Its abundance is 220133732756603904
Bases of 138739268484857376
- Binary: 1111011001110011010100001001011100110111111111110001000002
- Hexadecimal: 0x1ECE6A12E6FFE20
- Base-36: 11Y2YS224I00
Squares and roots of 138739268484857376
- 138739268484857376 squared (1387392684848573762) is 19248584619713339096368211061605376
- 138739268484857376 cubed (1387392684848573763) is 2670534549507905266494074527619934716248924954853376
-
The
square root of 138739268484857376 is 372477205.3224967161 -
The
cube root of 138739268484857376 is 517686.0553555073
Scales and comparisons
How big is 138739268484857376?- 138,739,268,484,857,376 seconds is equal to 4,411,479,589 years, 4 weeks, 2 days, 14 hours, 9 minutes, 36 seconds.
-
To count from 1 to 138,739,268,484,857,376 would take you about thirteen billion, two hundred thirty-four million, four hundred thirty-eight thousand, seven 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 138739268484857376 cubic inches would be around 43140.5 feet tall.
Recreational maths with 138739268484857376
- 138739268484857376 backwards is 673758484862937831
- The number of decimal digits it has is: 18
- The sum of 138739268484857376's digits is 99
- More coming soon!
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"Number 138739268484857376 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
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Numbermatics. (2024). Number 138739268484857376 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/138739268484857376/
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The information we have on file for 138739268484857376 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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