138137973896507184
138,137,973,896,507,184 is an even composite number composed of three prime numbers multiplied together.
What does the number 138137973896507184 look like?
This visualization shows the relationship between its 3 prime factors (large circles) and 630 divisors.
138137973896507184 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of six hundred thirty divisors.
Prime factorization of 138137973896507184:
24 × 320 × 195
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 19 × 19 × 19 × 19 × 19)See below for interesting mathematical facts about the number 138137973896507184 from the Numbermatics database.
Names of 138137973896507184
- Cardinal: 138137973896507184 can be written as One hundred thirty-eight quadrillion, one hundred thirty-seven trillion, nine hundred seventy-three billion, eight hundred ninety-six million, five hundred seven thousand, one hundred eighty-four.
Scientific notation
- Scientific notation: 1.38137973896507184 × 1017
Factors of 138137973896507184
Divisors of 138137973896507184
- Number of divisors d(n): 630
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 81 108 114 144 152 162 171 216 228 243 304 324 342 361 432 456 486 513 648 684 722 729 912 972 1026 1083 1296 1368 1444 1458 1539 1944 2052 2166 2187 2736 2888 2916 3078 3249 3888 4104 4332 4374 4617 5776 5832 6156 6498 6561 6859 8208 8664 8748 9234 9747 11664 12312 12996 13122 13718 13851 17328 17496 18468 19494 19683 20577 24624 25992 26244 27436 27702 29241 34992 36936 38988 39366 41154 41553 51984 52488 54872 55404 58482 59049 61731 73872 77976 78732 82308 83106 87723 104976 109744 110808 116964 118098 123462 124659 130321 155952 157464 164616 166212 175446 177147 185193 221616 233928 236196 246924 249318 260642 263169 314928 329232 332424 350892 354294 370386 373977 390963 467856 472392 493848 498636 521284 526338 531441 555579 664848 701784 708588 740772 747954 781926 789507 944784 987696 997272 1042568 1052676 1062882 1111158 1121931 1172889 1403568 1417176 1481544 1495908 1563852 1579014 1594323 1666737 1994544 2085136 2105352 2125764 2222316 2243862 2345778 2368521 2476099 2834352 2963088 2991816 3127704 3158028 3188646 3333474 3365793 3518667 4210704 4251528 4444632 4487724 4691556 4737042 4782969 4952198 5000211 5983632 6255408 6316056 6377292 6666948 6731586 7037334 7105563 7428297 8503056 8889264 8975448 9383112 9474084 9565938 9904396 10000422 10097379 10556001 12632112 12754584 13333896 13463172 14074668 14211126 14348907 14856594 15000633 17950896 18766224 18948168 19131876 19808792 20000844 20194758 21112002 21316689 22284891 25509168 26667792 26926344 28149336 28422252 28697814 29713188 30001266 30292137 31668003 37896336 38263752 39617584 40001688 40389516 42224004 42633378 43046721 44569782 45001899 53852688 56298672 56844504 57395628 59426376 60002532 60584274 63336006 63950067 66854673 76527504 80003376 80779032 84448008 85266756 86093442 89139564 90003798 90876411 95004009 113689008 114791256 118852752 120005064 121168548 126672012 127900134 129140163 133709346 135005697 161558064 168896016 170533512 172186884 178279128 180007596 181752822 190008018 191850201 200564019 229582512 240010128 242337096 253344024 255800268 258280326 267418692 270011394 272629233 285012027 341067024 344373768 356558256 360015192 363505644 380016036 383700402 387420489 401128038 405017091 484674192 506688048 511600536 516560652 534837384 540022788 545258466 570024054 575550603 601692057 688747536 720030384 727011288 760032072 767400804 774840978 802256076 810034182 817887699 855036081 1023201072 1033121304 1069674768 1080045576 1090516932 1140048108 1151101206 1162261467 1203384114 1215051273 1454022576 1520064144 1534801608 1549681956 1604512152 1620068364 1635775398 1710072162 1726651809 1805076171 2066242608 2160091152 2181033864 2280096216 2302202412 2324522934 2406768228 2430102546 2453663097 2565108243 3069603216 3099363912 3209024304 3240136728 3271550796 3420144324 3453303618 3486784401 3610152342 3645153819 4362067728 4560192432 4604404824 4649045868 4813536456 4860205092 4907326194 5130216486 5179955427 5415228513 6198727824 6480273456 6543101592 6840288648 6906607236 6973568802 7220304684 7290307638 7360989291 7695324729 9208809648 9298091736 9627072912 9720410184 9814652388 10260432972 10359910854 10830457026 10935461457 13086203184 13680577296 13813214472 13947137604 14440609368 14580615276 14721978582 15390649458 15539866281 16245685539 18596183472 19440820368 19629304776 20520865944 20719821708 21660914052 21870922914 22082967873 23085974187 27626428944 27894275208 28881218736 29161230552 29443957164 30781298916 31079732562 32491371078 32806384371 39258609552 41041731888 41439643416 43321828104 43741845828 44165935746 46171948374 46619598843 48737056617 55788550416 58322461104 58887914328 61562597832 62159465124 64982742156 65612768742 66248903619 69257922561 82879286832 86643656208 87483691656 88331871492 92343896748 93239197686 97474113234 98419153113 117775828656 123125195664 124318930248 129965484312 131225537484 132497807238 138515845122 139858796529 146211169851 174967383312 176663742984 184687793496 186478395372 194948226468 196838306226 207773767683 248637860496 259930968624 262451074968 264995614476 277031690244 279717593058 292422339702 295257459339 353327485968 369375586992 372956790744 389896452936 393676612452 415547535366 419576389587 438633509553 524902149936 529991228952 554063380488 559435186116 584844679404 590514918678 623321303049 745913581488 779792905872 787353224904 831095070732 839152779174 877267019106 885772378017 1059982457904 1108126760976 1118870372232 1169689358808 1181029837356 1246642606098 1258729168761 1315900528659 1574706449808 1662190141464 1678305558348 1754534038212 1771544756034 1869963909147 2237740744464 2339378717616 2362059674712 2493285212196 2517458337522 2631801057318 2657317134051 3324380282928 3356611116696 3509068076424 3543089512068 3739927818294 3947701585977 4724119349424 4986570424392 5034916675044 5263602114636 5314634268102 5609891727441 6713222233392 7018136152848 7086179024136 7479855636588 7895403171954 7971951402153 9973140848784 10069833350088 10527204229272 10629268536204 11219783454882 11843104757931 14172358048272 14959711273176 15790806343908 15943902804306 16829675182323 20139666700176 21054408458544 21258537072408 22439566909764 23686209515862 23915854206459 29919422546352 31581612687816 31887805608612 33659350364646 35529314273793 42517074144816 44879133819528 47372419031724 47831708412918 50489025546969 63163225375632 63775611217224 67318700729292 71058628547586 89758267639056 94744838063448 95663416825836 100978051093938 106587942821379 127551222434448 134637401458584 142117257095172 151467076640907 189489676126896 191326833651672 201956102187876 213175885642758 269274802917168 284234514190344 302934153281814 319763828464137 382653667303344 403912204375752 426351771285516 454401229922721 568469028380688 605868306563628 639527656928274 807824408751504 852703542571032 908802459845442 959291485392411 1211736613127256 1279055313856548 1705407085142064 1817604919690884 1918582970784822 2423473226254512 2558110627713096 2877874456177233 3635209839381768 3837165941569644 5116221255426192 5755748912354466 7270419678763536 7674331883139288 8633623368531699 11511497824708932 15348663766278576 17267246737063398 23022995649417864 34534493474126796 46045991298835728 69068986948253592 138137973896507184
- Sum of all divisors σ(n): 423767004624059460
- Sum of proper divisors (its aliquot sum) s(n): 285629030727552276
- 138137973896507184 is an abundant number, because the sum of its proper divisors (285629030727552276) is greater than itself. Its abundance is 147491056831045092
Bases of 138137973896507184
- Binary: 1111010101100001111000001011000000001011111101111001100002
- Hexadecimal: 0x1EAC3C16017EF30
- Base-36: 11S5TP4X6R00
Squares and roots of 138137973896507184
- 138137973896507184 squared (1381379738965071842) is 19082099832232100159121194963609856
- 138137973896507184 cubed (1381379738965071843) is 2635962608515421966915251881670568682202742477205504
-
The
square root of 138137973896507184 is 371669172.6475403879 -
The
cube root of 138137973896507184 is 516937.0902636775
Scales and comparisons
How big is 138137973896507184?- 138,137,973,896,507,184 seconds is equal to 4,392,360,281 years, 5 weeks, 1 day, 16 hours, 26 minutes, 24 seconds.
-
To count from 1 to 138,137,973,896,507,184 would take you about thirteen billion, one hundred seventy-seven million, eighty thousand, eight hundred forty-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 138137973896507184 cubic inches would be around 43078.1 feet tall.
Recreational maths with 138137973896507184
- 138137973896507184 backwards is 481705698379731831
- The number of decimal digits it has is: 18
- The sum of 138137973896507184's digits is 90
- More coming soon!
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The information we have on file for 138137973896507184 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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