138668914048000
138,668,914,048,000 is an even composite number composed of five prime numbers multiplied together.
138668914048000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and fifty-six divisors.
Prime factorization of 138668914048000:
210 × 53 × 7 × 175 × 109
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 17 × 17 × 17 × 17 × 17 × 109)See below for interesting mathematical facts about the number 138668914048000 from the Numbermatics database.
Names of 138668914048000
- Cardinal: 138668914048000 can be written as One hundred thirty-eight trillion, six hundred sixty-eight billion, nine hundred fourteen million, forty-eight thousand.
Scientific notation
- Scientific notation: 1.38668914048 × 1014
Factors of 138668914048000
Divisors of 138668914048000
- Number of divisors d(n): 1056
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 25 28 32 34 35 40 50 56 64 68 70 80 85 100 109 112 119 125 128 136 140 160 170 175 200 218 224 238 250 256 272 280 289 320 340 350 400 425 436 448 476 500 512 544 545 560 578 595 640 680 700 763 800 850 872 875 896 952 1000 1024 1088 1090 1120 1156 1190 1280 1360 1400 1445 1526 1600 1700 1744 1750 1792 1853 1904 2000 2023 2125 2176 2180 2240 2312 2380 2560 2720 2725 2800 2890 2975 3052 3200 3400 3488 3500 3584 3706 3808 3815 4000 4046 4250 4352 4360 4480 4624 4760 4913 5120 5440 5450 5600 5780 5950 6104 6400 6800 6976 7000 7168 7225 7412 7616 7630 8000 8092 8500 8704 8720 8960 9248 9265 9520 9826 10115 10880 10900 11200 11560 11900 12208 12800 12971 13600 13625 13952 14000 14450 14824 14875 15232 15260 16000 16184 17000 17408 17440 17920 18496 18530 19040 19075 19652 20230 21760 21800 22400 23120 23800 24416 24565 25600 25942 27200 27250 27904 28000 28900 29648 29750 30464 30520 31501 32000 32368 34000 34391 34880 35840 36125 36992 37060 38080 38150 39304 40460 43520 43600 44800 46240 46325 47600 48832 49130 50575 51884 54400 54500 55808 56000 57800 59296 59500 60928 61040 63002 64000 64736 64855 68000 68782 69760 72250 73984 74120 76160 76300 78608 80920 83521 87040 87200 89600 92480 92650 95200 95375 97664 98260 101150 103768 108800 109000 111616 112000 115600 118592 119000 121856 122080 122825 126004 128000 129472 129710 136000 137564 139520 144500 147968 148240 152320 152600 157216 157505 161840 167042 171955 174400 179200 184960 185300 190400 190750 195328 196520 202300 207536 217600 218000 220507 224000 231200 231625 237184 238000 244160 245650 252008 252875 258944 259420 272000 275128 279040 289000 295936 296480 304640 305200 314432 315010 323680 324275 334084 343910 348800 369920 370600 380800 381500 390656 393040 404600 415072 417605 435200 436000 441014 448000 462400 463250 474368 476000 488320 491300 504016 505750 517888 518840 535517 544000 550256 558080 578000 584647 592960 609280 610400 614125 628864 630020 647360 648550 668168 687820 697600 739840 741200 761600 763000 781312 786080 787525 809200 830144 835210 859775 872000 882028 896000 924800 926500 948736 952000 976640 982600 1008032 1011500 1035776 1037680 1071034 1088000 1100512 1102535 1156000 1169294 1185920 1220800 1228250 1257728 1260040 1294720 1297100 1336336 1375640 1395200 1419857 1479680 1482400 1523200 1526000 1572160 1575050 1618400 1621375 1660288 1670420 1719550 1744000 1764056 1849600 1853000 1897472 1904000 1953280 1965200 2016064 2023000 2071552 2075360 2088025 2142068 2176000 2201024 2205070 2312000 2338588 2371840 2441600 2456500 2515456 2520080 2589440 2594200 2672672 2677585 2751280 2790400 2839714 2923235 2964800 3046400 3052000 3144320 3150100 3236800 3242750 3320576 3340840 3439100 3488000 3528112 3699200 3706000 3748619 3808000 3906560 3930400 3937625 4032128 4046000 4150720 4176050 4284136 4298875 4402048 4410140 4624000 4677176 4743680 4883200 4913000 5030912 5040160 5178880 5188400 5345344 5355170 5502560 5512675 5679428 5846470 5929600 6104000 6288640 6300200 6473600 6485500 6641152 6681680 6878200 6976000 7056224 7099285 7398400 7412000 7497238 7616000 7860800 7875250 8064256 8092000 8301440 8352100 8568272 8597750 8804096 8820280 9103789 9248000 9354352 9487360 9766400 9826000 9938999 10080320 10357760 10376800 10440125 10690688 10710340 11005120 11025350 11358856 11692940 11859200 12208000 12577280 12600400 12947200 12971000 13282304 13363360 13387925 13756400 13952000 14112448 14198570 14616175 14824000 14994476 15232000 15721600 15750500 16128512 16184000 16602880 16704200 17136544 17195500 17608192 17640560 18207578 18496000 18708704 18743095 19532800 19652000 19877998 20160640 20753600 20880250 21381376 21420680 22010240 22050700 22717712 23385880 23718400 24416000 25154560 25200800 25894400 25942000 26726720 26775850 27512800 27563375 28224896 28397140 29232350 29648000 29988952 31443200 31501000 32257024 32368000 33205760 33408400 34273088 34391000 35216384 35281120 35496425 36415156 36992000 37417408 37486190 39304000 39755996 40321280 41507200 41760500 42762752 42841360 44020480 44101400 45435424 45518945 46771760 47436800 48832000 49694995 50401600 51788800 51884000 53453440 53551700 55025600 55126750 56449792 56794280 58464700 59296000 59977904 62886400 63002000 63726523 64736000 66411520 66816800 66939625 68546176 68782000 70562240 70992850 72830312 73080875 74834816 74972380 78608000 79511992 80642560 83014400 83521000 85525504 85682720 88040960 88202800 90870848 91037890 93543520 93715475 97664000 99389990 100803200 103768000 106906880 107103400 110051200 110253500 112899584 113588560 116929400 118592000 119955808 125772800 126004000 127453046 129472000 133633600 133879250 137092352 137564000 141124480 141985700 145660624 146161750 149669632 149944760 154764413 157216000 159023984 161285120 166028800 167042000 171365440 176081920 176405600 177482125 181741696 182075780 187087040 187430950 198779980 201606400 207536000 213813760 214206800 220102400 220507000 225799168 227177120 227594725 233858800 237184000 239911616 248474975 252008000 254906092 258944000 267267200 267758500 274184704 275128000 282248960 283971400 291321248 292323500 299339264 299889520 309528826 314432000 318047968 318632615 332057600 334084000 342730880 352811200 354964250 363483392 364151560 374174080 374861900 397559960 403212800 415072000 427627520 428413600 440204800 441014000 454354240 455189450 467717600 468577375 479823232 496949950 504016000 509812184 534534400 535517000 548369408 550256000 564497920 567942800 582642496 584647000 598678528 599779040 619057652 628864000 636095936 637265230 668168000 685461760 705622400 709928500 726966784 728303120 748348160 749723800 773822065 795119920 806425600 830144000 856827200 880409600 882028000 908708480 910378900 935435200 937154750 959646464 993899900 1008032000 1019624368 1069068800 1071034000 1083350891 1100512000 1128995840 1135885600 1137973625 1165284992 1169294000 1199558080 1238115304 1242374875 1272191872 1274530460 1336336000 1370923520 1411244800 1419857000 1453933568 1456606240 1496696320 1499447600 1547644130 1590239840 1593163075 1660288000 1713654400 1764056000 1817416960 1820757800 1870870400 1874309500 1919292928 1987799800 2016064000 2039248736 2138137600 2142068000 2166701782 2201024000 2271771200 2275947250 2330569984 2338588000 2399116160 2476230608 2484749750 2544383744 2549060920 2672672000 2741847040 2822489600 2839714000 2913212480 2993392640 2998895200 3095288260 3180479680 3186326150 3427308800 3528112000 3634833920 3641515600 3741740800 3748619000 3838585856 3869110325 3975599600 4032128000 4078497472 4284136000 4333403564 4402048000 4543542400 4551894500 4661139968 4677176000 4798232320 4952461216 4969499500 5088767488 5098121840 5345344000 5416754455 5644979200 5679428000 5826424960 5997790400 6190576520 6360959360 6372652300 6854617600 7056224000 7269667840 7283031200 7483481600 7497238000 7738220650 7951199200 7965815375 8156994944 8568272000 8666807128 9087084800 9103789000 9322279936 9354352000 9596464640 9904922432 9938999000 10177534976 10196243680 10690688000 10833508910 11358856000 11652849920 11995580800 12381153040 12721918720 12745304600 13709235200 14112448000 14566062400 14966963200 14994476000 15476441300 15902398400 15931630750 16313989888 17136544000 17333614256 18174169600 18207578000 18708704000 19192929280 19345551625 19809844864 19877998000 20392487360 21667017820 22717712000 23305699840 23991161600 24762306080 25443837440 25490609200 27083772275 28224896000 29132124800 29988952000 30952882600 31804796800 31863261500 32627979776 34273088000 34667228512 36348339200 36415156000 37417408000 38691103250 39619689728 39755996000 40784974720 43334035640 45435424000 46611399680 47982323200 49524612160 50887674880 50981218400 54167544550 58264249600 59977904000 61905765200 63609593600 63726523000 65255959552 68546176000 69334457024 72830312000 74834816000 77382206500 79239379456 79511992000 81569949440 86668071280 90870848000 95964646400 99049224320 101962436800 108335089100 116528499200 119955808000 123811530400 127219187200 127453046000 135418861375 138668914048 145660624000 154764413000 158478758912 159023984000 163139898880 173336142560 181741696000 198098448640 203924873600 216670178200 233056998400 239911616000 247623060800 254438374400 254906092000 270837722750 277337828096 291321248000 309528826000 318047968000 326279797760 346672285120 396196897280 407849747200 433340356400 479823232000 495246121600 509812184000 541675445500 554675656192 582642496000 619057652000 636095936000 693344570240 792393794560 815699494400 866680712800 990492243200 1019624368000 1083350891000 1109351312384 1165284992000 1238115304000 1272191872000 1386689140480 1631398988800 1733361425600 1980984486400 2039248736000 2166701782000 2476230608000 2773378280960 3466722851200 3961968972800 4078497472000 4333403564000 4952461216000 5546756561920 6933445702400 8156994944000 8666807128000 9904922432000 13866891404800 17333614256000 19809844864000 27733782809600 34667228512000 69334457024000 138668914048000
- Sum of all divisors σ(n): 423934382551680
- Sum of proper divisors (its aliquot sum) s(n): 285265468503680
- 138668914048000 is an abundant number, because the sum of its proper divisors (285265468503680) is greater than itself. Its abundance is 146596554455680
Bases of 138668914048000
- Binary: 111111000011110010111110101110011111100000000002
- Hexadecimal: 0x7E1E5F5CFC00
- Base-36: 1D5JMB3K74
Squares and roots of 138668914048000
- 138668914048000 squared (1386689140480002) is 19229067723251611746304000000
- 138668914048000 cubed (1386689140480003) is 2666473939338748800325696557678592000000000
-
The
square root of 138668914048000 is 11775776.5794023113 -
The
cube root of 138668914048000 is 51759.8534666631
Scales and comparisons
How big is 138668914048000?- 138,668,914,048,000 seconds is equal to 4,409,242 years, 27 weeks, 5 days, 23 hours, 6 minutes, 40 seconds.
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To count from 1 to 138,668,914,048,000 would take you about eleven million, twenty-three thousand, one hundred six 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 138668914048000 cubic inches would be around 4313.3 feet tall.
Recreational maths with 138668914048000
- 138668914048000 backwards is 000840419866831
- The number of decimal digits it has is: 15
- The sum of 138668914048000's digits is 58
- More coming soon!
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The information we have on file for 138668914048000 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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