138115350528000
138,115,350,528,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138115350528000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1920 divisors.
138115350528000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 138115350528000:
219 × 3 × 53 × 17 × 312 × 43
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 17 × 31 × 31 × 43)See below for interesting mathematical facts about the number 138115350528000 from the Numbermatics database.
Names of 138115350528000
- Cardinal: 138115350528000 can be written as One hundred thirty-eight trillion, one hundred fifteen billion, three hundred fifty million, five hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.38115350528 × 1014
Factors of 138115350528000
Divisors of 138115350528000
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 31 32 34 40 43 48 50 51 60 62 64 68 75 80 85 86 93 96 100 102 120 124 125 128 129 136 150 155 160 170 172 186 192 200 204 215 240 248 250 255 256 258 272 300 310 320 340 344 372 375 384 400 408 425 430 465 480 496 500 510 512 516 527 544 600 620 640 645 680 688 731 744 750 768 775 800 816 850 860 930 960 961 992 1000 1020 1024 1032 1054 1075 1088 1200 1240 1275 1280 1290 1333 1360 1376 1462 1488 1500 1536 1550 1581 1600 1632 1700 1720 1860 1920 1922 1984 2000 2040 2048 2064 2108 2125 2150 2176 2193 2325 2400 2480 2550 2560 2580 2635 2666 2720 2752 2883 2924 2976 3000 3072 3100 3162 3200 3225 3264 3400 3440 3655 3720 3840 3844 3875 3968 3999 4000 4080 4096 4128 4216 4250 4300 4352 4386 4650 4800 4805 4960 5100 5120 5160 5270 5332 5375 5440 5504 5766 5848 5952 6000 6144 6200 6324 6375 6400 6450 6528 6665 6800 6880 7310 7440 7680 7688 7750 7905 7936 7998 8000 8160 8192 8256 8432 8500 8600 8704 8772 9300 9600 9610 9920 10200 10240 10320 10540 10664 10750 10880 10965 11008 11532 11625 11696 11904 12000 12288 12400 12648 12750 12800 12900 13056 13175 13330 13600 13760 14415 14620 14880 15360 15376 15500 15810 15872 15996 16000 16125 16320 16337 16384 16512 16864 17000 17200 17408 17544 18275 18600 19200 19220 19840 19995 20400 20480 20640 21080 21328 21500 21760 21930 22016 22661 23064 23250 23392 23808 24000 24025 24576 24800 25296 25500 25600 25800 26112 26350 26660 27200 27520 28830 29240 29760 30720 30752 31000 31620 31744 31992 32000 32250 32640 32674 32768 33024 33325 33728 34000 34400 34816 35088 36550 37200 38400 38440 39525 39680 39990 40800 40960 41280 41323 42160 42656 43000 43520 43860 44032 45322 46128 46500 46784 47616 48000 48050 49011 49152 49600 50592 51000 51200 51600 52224 52700 53320 54400 54825 55040 57660 58480 59520 61440 61504 62000 63240 63488 63984 64000 64500 65280 65348 65536 65875 66048 66650 67456 67983 68000 68800 69632 70176 72075 73100 74400 76800 76880 79050 79360 79980 81600 81685 81920 82560 82646 84320 85312 86000 87040 87720 88064 90644 91375 92256 93000 93568 95232 96000 96100 98022 98304 99200 99975 101184 102000 102400 103200 104448 105400 106640 108800 109650 110080 113305 115320 116960 119040 120125 122880 123008 123969 124000 126480 126976 127968 128000 129000 130560 130696 131072 131750 132096 133300 134912 135966 136000 137600 139264 140352 144150 146200 148800 153600 153760 158100 158720 159960 163200 163370 163840 165120 165292 166625 168640 170624 172000 174080 175440 176128 181288 182750 184512 186000 187136 190464 192000 192200 196044 196608 197625 198400 199950 202368 204000 204800 206400 206615 208896 210800 213280 217600 219300 220160 226610 230640 233920 238080 240250 245055 245760 246016 247938 248000 252960 253952 255936 256000 258000 261120 261392 262144 263500 264192 266600 269824 271932 272000 274125 275200 278528 280704 288300 292400 297600 307200 307520 316200 317440 319920 326400 326740 327680 330240 330584 333250 337280 339915 341248 344000 348160 350880 352256 360375 362576 365500 369024 372000 374272 380928 384000 384400 392088 393216 395250 396800 399900 404736 408000 408425 409600 412800 413230 417792 421600 426560 435200 438600 440320 453220 461280 467840 476160 480500 490110 491520 492032 495876 496000 499875 505920 507904 511872 512000 516000 522240 522784 524288 527000 528384 533200 539648 543864 544000 548250 550400 557056 561408 566525 576600 584800 595200 614400 615040 619845 632400 634880 639840 652800 653480 655360 660480 661168 666500 674560 679830 682496 688000 696320 701760 702491 704512 720750 725152 731000 738048 744000 748544 761856 768000 768800 784176 786432 790500 793600 799800 809472 816000 816850 819200 825600 826460 835584 843200 853120 870400 877200 880640 906440 922560 935680 952320 961000 980220 983040 984064 991752 992000 999750 1011840 1015808 1023744 1024000 1032000 1033075 1044480 1045568 1054000 1056768 1066400 1079296 1087728 1088000 1096500 1100800 1114112 1122816 1133050 1153200 1169600 1190400 1225275 1228800 1230080 1239690 1264800 1269760 1279680 1305600 1306960 1310720 1320960 1322336 1333000 1349120 1359660 1364992 1376000 1392640 1403520 1404982 1409024 1441500 1450304 1462000 1476096 1488000 1497088 1523712 1536000 1537600 1568352 1572864 1581000 1587200 1599600 1618944 1632000 1633700 1638400 1651200 1652920 1671168 1686400 1699575 1706240 1740800 1754400 1761280 1812880 1845120 1871360 1904640 1922000 1960440 1966080 1968128 1983504 1984000 1999500 2023680 2031616 2042125 2047488 2048000 2064000 2066150 2088960 2091136 2107473 2108000 2113536 2132800 2158592 2175456 2176000 2193000 2201600 2228224 2245632 2266100 2306400 2339200 2380800 2450550 2457600 2460160 2479380 2529600 2539520 2559360 2611200 2613920 2621440 2641920 2644672 2666000 2698240 2719320 2729984 2752000 2785280 2807040 2809964 2818048 2832625 2883000 2900608 2924000 2952192 2976000 2994176 3047424 3072000 3075200 3099225 3136704 3162000 3174400 3199200 3237888 3264000 3267400 3276800 3302400 3305840 3342336 3372800 3399150 3412480 3481600 3508800 3512455 3522560 3625760 3690240 3742720 3809280 3844000 3920880 3932160 3936256 3967008 3968000 3999000 4047360 4063232 4084250 4094976 4096000 4128000 4132300 4177920 4182272 4214946 4216000 4227072 4265600 4317184 4350912 4352000 4386000 4403200 4456448 4491264 4532200 4612800 4678400 4761600 4901100 4915200 4920320 4958760 5059200 5079040 5118720 5165375 5222400 5227840 5283840 5289344 5332000 5396480 5438640 5459968 5504000 5570560 5614080 5619928 5636096 5665250 5766000 5801216 5848000 5904384 5952000 5988352 6094848 6126375 6144000 6150400 6198450 6273408 6324000 6348800 6398400 6475776 6528000 6534800 6553600 6604800 6611680 6684672 6745600 6798300 6824960 6963200 7017600 7024910 7045120 7251520 7380480 7485440 7618560 7688000 7841760 7864320 7872512 7934016 7936000 7998000 8094720 8126464 8168500 8189952 8192000 8256000 8264600 8355840 8364544 8429892 8432000 8454144 8497875 8531200 8634368 8701824 8704000 8772000 8806400 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2115737600 2141323264 2158052352 2158592000 2175456000 2183987200 2227666944 2245632000 2247971200 2320486400 2361753600 2395340800 2509363200 2519203840 2538885120 2590310400 2620784640 2644672000 2676654080 2697565440 2708144128 2729984000 2784583680 2809964000 2818048000 2874408960 2877403136 2900608000 2952192000 2970222592 2994176000 3047424000 3136704000 3149004800 3173606400 3211984896 3237888000 3275980800 3342336000 3345817600 3371956800 3385180160 3453747200 3480729600 3494379520 3593011200 3596753920 3712778240 3778805760 3936256000 3967008000 4014981120 4062216192 4094976000 4144496640 4182272000 4214946000 4227072000 4231475200 4282646528 4316104704 4317184000 4350912000 4367974400 4455333888 4491264000 4495942400 4640972800 4723507200 4790681600 5018726400 5077770240 5180620800 5241569280 5289344000 5353308160 5395130880 5416288256 5459968000 5569167360 5619928000 5748817920 5754806272 5801216000 5904384000 5940445184 5988352000 6094848000 6273408000 6298009600 6347212800 6423969792 6475776000 6551961600 6691635200 6743913600 6770360320 6907494400 6961459200 7186022400 7193507840 7425556480 7557611520 7872512000 7934016000 8029962240 8124432384 8189952000 8364544000 8429892000 8454144000 8462950400 8565293056 8632209408 8634368000 8701824000 8735948800 8910667776 8982528000 8991884800 9281945600 9447014400 9581363200 10037452800 10155540480 10361241600 10483138560 10578688000 10706616320 10790261760 10832576512 10919936000 11138334720 11239856000 11509612544 11602432000 11808768000 11880890368 11976704000 12546816000 12596019200 12694425600 12847939584 12951552000 13103923200 13383270400 13487827200 13540720640 13922918400 14372044800 14387015680 14851112960 15745024000 15868032000 16059924480 16248864768 16379904000 16729088000 16859784000 16925900800 17264418816 17268736000 17403648000 17471897600 17821335552 17965056000 17983769600 18563891200 18894028800 20074905600 20311080960 20722483200 21157376000 21413232640 21580523520 21665153024 21839872000 22276669440 22479712000 23019225088 23204864000 23617536000 23953408000 25093632000 25388851200 25695879168 25903104000 26207846400 26766540800 26975654400 27081441280 27845836800 28744089600 28774031360 29702225920 31490048000 31736064000 32119848960 32497729536 32759808000 33458176000 33719568000 33851801600 34528837632 34537472000 34807296000 35642671104 35930112000 35967539200 37127782400 37788057600 40149811200 40622161920 42314752000 42826465280 43161047040 43679744000 44553338880 44959424000 46038450176 46409728000 47235072000 47906816000 50187264000 50777702400 51806208000 52415692800 53533081600 53951308800 54162882560 55691673600 57548062720 59404451840 62980096000 63472128000 64239697920 64995459072 65519616000 66916352000 67439136000 67703603200 69057675264 69614592000 71860224000 71935078400 74255564800 80299622400 81244323840 84629504000 86322094080 87359488000 89106677760 89918848000 92076900352 92819456000 94470144000 100374528000 101555404800 103612416000 107066163200 107902617600 108325765120 111383347200 115096125440 126944256000 128479395840 131039232000 133832704000 134878272000 135407206400 138115350528 139229184000 143720448000 143870156800 148511129600 160599244800 162488647680 169259008000 172644188160 178213355520 179837696000 184153800704 185638912000 188940288000 200749056000 203110809600 214132326400 215805235200 222766694400 230192250880 253888512000 262078464000 267665408000 269756544000 270814412800 276230701056 278458368000 287740313600 297022259200 321198489600 324977295360 338518016000 345288376320 359675392000 368307601408 371277824000 401498112000 406221619200 431610470400 445533388800 460384501760 507777024000 535330816000 539513088000 541628825600 552461402112 556916736000 575480627200 642396979200 677036032000 690576752640 719350784000 742555648000 802996224000 812443238400 863220940800 891066777600 920769003520 1015554048000 1070661632000 1079026176000 1104922804224 1113833472000 1150961254400 1354072064000 1381153505280 1438701568000 1485111296000 1605992448000 1624886476800 1726441881600 1841538007040 2031108096000 2158052352000 2227666944000 2301922508800 2708144128000 2762307010560 2877403136000 3211984896000 3452883763200 4062216192000 4316104704000 4455333888000 4603845017600 5524614021120 5754806272000 6905767526400 8124432384000 8632209408000 9207690035200 11509612544000 13811535052800 17264418816000 23019225088000 27623070105600 34528837632000 46038450176000 69057675264000 138115350528000
- Sum of all divisors σ(n): 514586654524800
- Sum of proper divisors (its aliquot sum) s(n): 376471303996800
- 138115350528000 is an abundant number, because the sum of its proper divisors (376471303996800) is greater than itself. Its abundance is 238355953468800
Bases of 138115350528000
- Binary: 111110110011101011111000110100000000000000000002
- Hexadecimal: 0x7D9D7C680000
- Base-36: 1CYHBDO6IO
Squares and roots of 138115350528000
- 138115350528000 squared (1381153505280002) is 19075850051472309878784000000
- 138115350528000 cubed (1381153505280003) is 2634667716478664921394089350397952000000000
-
The
square root of 138115350528000 is 11752248.7434533141 -
The
cube root of 138115350528000 is 51690.8868487885
Scales and comparisons
How big is 138115350528000?- 138,115,350,528,000 seconds is equal to 4,391,640 years, 48 weeks, 1 day, 18 hours, 40 minutes.
-
To count from 1 to 138,115,350,528,000 would take you about ten million, nine hundred seventy-nine thousand, one hundred two 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 138115350528000 cubic inches would be around 4307.6 feet tall.
Recreational maths with 138115350528000
- 138115350528000 backwards is 000825053511831
- The number of decimal digits it has is: 15
- The sum of 138115350528000's digits is 42
- More coming soon!
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"Number 138115350528000 - Facts about the integer". Numbermatics.com. 2024. Web. 27 June 2024.
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Numbermatics. (2024). Number 138115350528000 - Facts about the integer. Retrieved 27 June 2024, from https://numbermatics.com/n/138115350528000/
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The information we have on file for 138115350528000 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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