138364970688
138,364,970,688 is an even composite number composed of six prime numbers multiplied together.
138364970688 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred ninety-six divisors.
Prime factorization of 138364970688:
26 × 33 × 73 × 43 × 61 × 89
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 7 × 43 × 61 × 89)See below for interesting mathematical facts about the number 138364970688 from the Numbermatics database.
Names of 138364970688
- Cardinal: 138364970688 can be written as One hundred thirty-eight billion, three hundred sixty-four million, nine hundred seventy thousand, six hundred eighty-eight.
Scientific notation
- Scientific notation: 1.38364970688 × 1011
Factors of 138364970688
Divisors of 138364970688
- Number of divisors d(n): 896
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 43 48 49 54 56 61 63 64 72 84 86 89 96 98 108 112 122 126 129 144 147 168 172 178 183 189 192 196 216 224 244 252 258 267 288 294 301 336 343 344 356 366 378 387 392 427 432 441 448 488 504 516 534 549 576 588 602 623 672 686 688 712 732 756 774 784 801 854 864 882 903 976 1008 1029 1032 1068 1098 1161 1176 1204 1246 1281 1323 1344 1372 1376 1424 1464 1512 1548 1568 1602 1647 1708 1728 1764 1806 1869 1952 2016 2058 2064 2107 2136 2196 2322 2352 2403 2408 2492 2562 2623 2646 2709 2744 2752 2848 2928 2989 3024 3087 3096 3136 3204 3294 3416 3528 3612 3738 3827 3843 3904 4032 4116 4128 4214 4272 4361 4392 4644 4704 4806 4816 4984 5124 5246 5292 5418 5429 5488 5607 5696 5856 5978 6048 6174 6192 6321 6408 6588 6832 7056 7224 7476 7654 7686 7869 8127 8232 8256 8428 8544 8722 8784 8967 9261 9288 9408 9612 9632 9968 10248 10492 10584 10836 10858 10976 11214 11481 11529 11712 11956 12096 12348 12384 12642 12816 13083 13176 13664 14112 14448 14749 14952 15308 15372 15738 16254 16287 16464 16821 16856 17088 17444 17568 17934 18361 18522 18576 18963 19224 19264 19936 20496 20923 20984 21168 21672 21716 21952 22428 22962 23058 23607 23912 24696 24768 25284 25632 26166 26352 26789 26901 27328 28224 28896 29498 29904 30527 30616 30744 31476 32508 32574 32928 33642 33712 34443 34888 35136 35868 36722 37044 37152 37926 38003 38448 39249 39872 40992 41846 41968 42336 43344 43432 44247 44856 45924 46116 47214 47824 48861 49392 50568 51264 52332 52704 53578 53802 55083 56889 57792 58996 59808 61054 61232 61488 62769 62952 65016 65148 65856 67284 67424 68886 69776 70821 71736 73444 74088 74304 75852 76006 76896 78498 80367 80703 81984 83692 83936 84672 86688 86864 88494 89712 91581 91848 92232 94428 95648 97722 98784 101136 103329 104664 105408 107156 107604 110166 113778 114009 117747 117992 119616 122108 122464 122976 125538 125904 128527 130032 130296 132741 134568 134848 137772 139552 141642 143472 146583 146888 148176 151704 152012 153792 156996 160734 161406 165249 167384 167872 173376 173728 176988 179424 183162 183696 184464 187523 188307 188856 191296 195444 197568 202272 206658 209328 214312 215208 220332 227556 228018 233447 235494 235984 241101 244216 244928 245952 251076 251808 257054 260064 260592 265482 266021 269136 274743 275544 279104 283284 286944 293166 293776 296352 303408 304024 313992 321468 322812 330498 334768 342027 347456 353976 358848 366324 367392 368928 375046 376614 377712 385581 390888 398223 404544 413316 418656 428624 430416 440664 455112 456036 466894 470988 471968 482202 488432 495747 502152 503616 514108 520128 521184 530964 532042 538272 549486 551088 562569 564921 566568 573888 586332 587552 592704 606816 608048 627984 642936 645624 660996 669536 684054 700341 707952 723303 732648 734784 737856 750092 753228 755424 771162 781776 796446 798063 824229 826632 837312 857248 860832 881328 899689 910224 912072 933788 941976 943936 964404 976864 991494 1004304 1026081 1028216 1042368 1061928 1064084 1076544 1098972 1102176 1125138 1129842 1133136 1156743 1172664 1175104 1213632 1216096 1255968 1285872 1291248 1312661 1321992 1339072 1368108 1400682 1415904 1446606 1465296 1500184 1506456 1510848 1542324 1563552 1592892 1596126 1634129 1648458 1653264 1687707 1714496 1721664 1762656 1799378 1820448 1824144 1862147 1867576 1883952 1928808 1953728 1982988 2008608 2052162 2056432 2101023 2123856 2128168 2197944 2204352 2250276 2259684 2266272 2313486 2345328 2394189 2432192 2511936 2571744 2582496 2625322 2643984 2699067 2736216 2801364 2831808 2893212 2930592 3000368 3012912 3084648 3127104 3185784 3192252 3268258 3296916 3306528 3375414 3470229 3525312 3598756 3640896 3648288 3724294 3735152 3767904 3857616 3937983 3965976 4017216 4104324 4112864 4202046 4247712 4256336 4395888 4500552 4519368 4532544 4626972 4690656 4788378 4902387 5063121 5143488 5164992 5250644 5287968 5398134 5472432 5586441 5602728 5786424 5861184 6000736 6025824 6169296 6303069 6371568 6384504 6536516 6593832 6613056 6750828 6940458 7182567 7197512 7296576 7448588 7470304 7535808 7715232 7875966 7931952 8097201 8208648 8225728 8404092 8495424 8512672 8791776 9001104 9038736 9253944 9381312 9576756 9804774 10126242 10501288 10575936 10796268 10944864 11172882 11205456 11438903 11572848 11813949 12001472 12051648 12338592 12606138 12743136 12769008 13073032 13187664 13501656 13880916 14365134 14395024 14707161 14897176 14940608 15430464 15751932 15863904 16194402 16417296 16759323 16808184 17025344 17583552 18002208 18077472 18507888 19153512 19609548 20252484 21002576 21592536 21889728 22345764 22410912 22877806 23145696 23627898 24291603 24677184 25212276 25486272 25538016 26146064 26375328 27003312 27761832 28730268 28790048 29414322 29794352 31503864 31727808 32388804 32834592 33518646 33616368 34316709 35441847 36004416 36154944 37015776 38307024 39219096 40504968 42005152 43185072 44121483 44691528 44821824 45755612 46291392 47255796 48583206 50277969 50424552 51076032 52292128 52750656 54006624 55523664 57460536 57580096 58828644 59588704 63007728 64777608 65669184 67037292 67232736 68633418 70883694 74031552 76614048 78438192 80072321 81009936 84010304 86370144 88242966 89383056 91511224 94511592 97166412 100555938 100849104 102950127 104584256 108013248 111047328 114921072 117657288 119177408 126015456 129555216 134074584 134465472 137266836 141767388 153228096 156876384 160144642 162019872 172740288 176485932 178766112 183022448 189023184 194332824 201111876 201698208 205900254 222094656 229842144 235314576 240216963 252030912 259110432 268149168 274533672 283534776 308850381 313752768 320289284 324039744 352971864 357532224 366044896 378046368 388665648 402223752 403396416 411800508 459684288 470629152 480433926 518220864 536298336 549067344 567069552 617700762 640578568 705943728 720650889 732089792 756092736 777331296 804447504 823601016 941258304 960867852 1072596672 1098134688 1134139104 1235401524 1281157136 1411887456 1441301778 1554662592 1608895008 1647202032 1921735704 2161952667 2196269376 2268278208 2470803048 2562314272 2823774912 2882603556 3217790016 3294404064 3843471408 4323905334 4941606096 5124628544 5765207112 6588808128 7686942816 8647810668 9883212192 11530414224 15373885632 17295621336 19766424384 23060828448 34591242672 46121656896 69182485344 138364970688
- Sum of all divisors σ(n): 498896640000
- Sum of proper divisors (its aliquot sum) s(n): 360531669312
- 138364970688 is an abundant number, because the sum of its proper divisors (360531669312) is greater than itself. Its abundance is 222166698624
Bases of 138364970688
- Binary: 100000001101110011000111100110110000002
- Hexadecimal: 0x203731E6C0
- Base-36: 1RKAXIO0
Squares and roots of 138364970688
- 138364970688 squared (1383649706882) is 19144865113491099193344
- 138364970688 cubed (1383649706883) is 2648978700253909733235943004700672
-
The
square root of 138364970688 is 371974.4220884013 -
The
cube root of 138364970688 is 5172.2008955077
Scales and comparisons
How big is 138364970688?- 138,364,970,688 seconds is equal to 4,399 years, 30 weeks, 10 hours, 4 minutes, 48 seconds.
-
To count from 1 to 138,364,970,688 would take you about eight thousand, seven hundred ninety-nine 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 138364970688 cubic inches would be around 431 feet tall.
Recreational maths with 138364970688
- 138364970688 backwards is 886079463831
- 138364970688 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138364970688's digits is 63
- More coming soon!
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The information we have on file for 138364970688 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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