138475197952000
138,475,197,952,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138475197952000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1248 divisors.
138475197952000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred forty-eight divisors.
Prime factorization of 138475197952000:
212 × 53 × 72 × 13 × 53 × 8011
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 13 × 53 × 8011)See below for interesting mathematical facts about the number 138475197952000 from the Numbermatics database.
Names of 138475197952000
- Cardinal: 138475197952000 can be written as One hundred thirty-eight trillion, four hundred seventy-five billion, one hundred ninety-seven million, nine hundred fifty-two thousand.
Scientific notation
- Scientific notation: 1.38475197952 × 1014
Factors of 138475197952000
Divisors of 138475197952000
- Number of divisors d(n): 1248
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 49 50 52 53 56 64 65 70 80 91 98 100 104 106 112 125 128 130 140 160 175 182 196 200 208 212 224 245 250 256 260 265 280 320 325 350 364 371 392 400 416 424 448 455 490 500 512 520 530 560 637 640 650 689 700 728 742 784 800 832 848 875 896 910 980 1000 1024 1040 1060 1120 1225 1274 1280 1300 1325 1378 1400 1456 1484 1568 1600 1625 1664 1696 1750 1792 1820 1855 1960 2000 2048 2080 2120 2240 2275 2450 2548 2560 2597 2600 2650 2756 2800 2912 2968 3136 3185 3200 3250 3328 3392 3445 3500 3584 3640 3710 3920 4000 4096 4160 4240 4480 4550 4823 4900 5096 5120 5194 5200 5300 5512 5600 5824 5936 6125 6272 6370 6400 6500 6625 6656 6784 6890 7000 7168 7280 7420 7840 8000 8011 8320 8480 8960 9100 9275 9646 9800 10192 10240 10388 10400 10600 11024 11200 11375 11648 11872 12250 12544 12740 12800 12985 13000 13250 13312 13568 13780 14000 14336 14560 14840 15680 15925 16000 16022 16640 16960 17225 17920 18200 18550 19292 19600 20384 20480 20776 20800 21200 22048 22400 22750 23296 23744 24115 24500 25088 25480 25600 25970 26000 26500 26624 27136 27560 28000 28672 29120 29680 31360 31850 32000 32044 33280 33761 33920 34450 35840 36400 37100 38584 39200 40055 40768 41552 41600 42400 44096 44800 45500 46375 46592 47488 48230 49000 50176 50960 51200 51940 52000 53000 53248 54272 55120 56000 56077 58240 59360 62720 63700 64000 64088 64925 66560 67522 67840 68900 71680 72800 74200 77168 78400 79625 80110 81536 83104 83200 84800 86125 88192 89600 91000 92750 93184 94976 96460 98000 100352 101920 102400 103880 104000 104143 106000 108544 110240 112000 112154 116480 118720 120575 125440 127400 128000 128176 129850 133120 135044 135680 137800 143360 145600 148400 154336 156800 159250 160220 163072 166208 166400 168805 169600 172250 176384 179200 182000 185500 186368 189952 192920 196000 200275 200704 203840 207760 208000 208286 212000 217088 220480 224000 224308 232960 237440 241150 250880 254800 256000 256352 259700 266240 270088 271360 275600 280385 291200 296800 308672 313600 318500 320440 324625 326144 332416 332800 337610 339200 344500 352768 358400 364000 371000 372736 379904 385840 392000 392539 400550 407680 415520 416000 416572 424000 424583 440960 448000 448616 465920 474880 482300 501760 509600 512000 512704 519400 520715 540176 542720 551200 560770 582400 593600 602875 617344 627200 637000 640880 649250 652288 664832 665600 675220 678400 689000 705536 716800 728000 729001 742000 759808 771680 784000 785078 801100 815360 831040 832000 833144 844025 848000 849166 881920 896000 897232 931840 949760 964600 1001375 1003520 1019200 1025408 1038800 1041430 1080352 1085440 1102400 1121540 1164800 1187200 1205750 1234688 1254400 1274000 1281760 1298500 1304576 1329664 1331200 1350440 1356800 1378000 1401925 1411072 1456000 1458002 1484000 1519616 1543360 1568000 1570156 1602200 1630720 1662080 1664000 1666288 1688050 1696000 1698332 1763840 1792000 1794464 1863680 1899520 1929200 1962695 2002750 2038400 2050816 2077600 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62806240 64088000 65228800 66483200 66651520 67522000 67933280 69142528 70553600 71778560 72900100 74302025 77168000 77274106 78507800 81536000 81648112 82032640 83104000 83218268 83314400 84916600 86428160 88192000 88313264 89723200 91125125 93312128 94976000 95106592 98134750 98775040 100489984 102060140 102540800 104022835 104143000 106145750 106642432 108035200 108693248 110391580 112154000 114845696 116640160 118883240 123468800 125612480 127575175 128176000 132966400 133303040 135044000 135866560 137989475 138285056 143557120 145800200 148604050 154336000 154548212 157015600 163072000 163296224 164065280 166208000 166436536 166628800 169833200 172856320 176384000 176626528 179446400 182250250 186624256 189952000 190213184 193185265 196269500 200979968 204120280 205081600 208045670 208286000 212291500 213284864 216070400 217386496 220783160 224308000 229691392 233280320 237766480 246937600 251224960 255150350 256352000 265932800 266606080 270088000 270459371 271733120 275978950 287114240 291600400 297208100 308672000 309096424 314031200 326144000 326592448 332416000 332873072 333257600 339666400 345712640 352768000 353253056 358892800 364500500 371510125 373248512 380426368 386370530 392539000 401959936 408240560 410163200 416091340 416572000 424583000 426569728 432140800 434772992 441566320 448616000 466560640 475532960 493875200 502449920 510300700 512704000 520114175 533212160 540176000 540918742 543466240 551957900 574228480 583200800 594416200 617344000 618192848 628062400 637875875 653184896 664832000 665746144 666515200 679332800 689947375 691425280 706506112 717785600 729001000 743020250 746497024 760852736 772741060 785078000 803919872 816481120 820326400 832182680 833144000 849166000 864281600 869545984 883132640 897232000 933121280 951065920 965926325 1004899840 1020601400 1025408000 1040228350 1066424320 1080352000 1081837484 1086932480 1103915800 1148456960 1166401600 1188832400 1234688000 1236385696 1256124800 1275751750 1306369792 1329664000 1331492288 1333030400 1352296855 1358665600 1379894750 1413012224 1435571200 1458002000 1486040500 1492994048 1521705472 1545482120 1570156000 1607839744 1632962240 1664365360 1666288000 1698332000 1728563200 1739091968 1766265280 1794464000 1866242560 1902131840 1931852650 2009799680 2041202800 2050816000 2080456700 2132848640 2160704000 2163674968 2173864960 2207831600 2332803200 2377664800 2469376000 2472771392 2512249600 2551503500 2600570875 2612739584 2662984576 2666060800 2704593710 2717331200 2759789500 2826024448 2871142400 2916004000 2972081000 2985988096 3043410944 3090964240 3140312000 3265924480 3328730720 3332576000 3396664000 3457126400 3532530560 3588928000 3732485120 3804263680 3863705300 4019599360 4082405600 4101632000 4160913400 4321408000 4327349936 4347729920 4415663200 4665606400 4755329600 4829631625 4945542784 5024499200 5103007000 5201141750 5225479168 5325969152 5332121600 5409187420 5434662400 5519579000 5652048896 5742284800 5832008000 5944162000 6086821888 6181928480 6280624000 6531848960 6657461440 6665152000 6761484275 6793328000 7065061120 7177856000 7464970240 7608527360 7727410600 8039198720 8164811200 8321826800 8642816000 8654699872 8695459840 8831326400 9331212800 9510659200 9659263250 9891085568 10048998400 10206014000 10402283500 10450958336 10651938304 10664243200 10818374840 10869324800 11039158000 11304097792 11664016000 11888324000 12173643776 12363856960 12561248000 13063697920 13314922880 13330304000 13522968550 13586656000 14130122240 14355712000 14929940480 15217054720 15454821200 16329622400 16643653600 17285632000 17309399744 17662652800 18662425600 19021318400 19318526500 19782171136 20097996800 20412028000 20804567000 20901916672 21303876608 21636749680 21738649600 22078316000 22608195584 23328032000 23776648000 24727713920 25122496000 26127395840 26629845760 26660608000 27045937100 27173312000 28260244480 28711424000 30434109440 30909642400 32659244800 33287307200 33807421375 34618799488 35325305600 37324851200 38042636800 38637053000 39564342272 40195993600 40824056000 41609134000 42607753216 43273499360 43477299200 44156632000 46656064000 47553296000 49455427840 50244992000 52254791680 53259691520 53321216000 54091874200 54346624000 56520488960 60868218880 61819284800 65318489600 66574614400 67614842750 69237598976 70650611200 74649702400 76085273600 77274106000 79128684544 81648112000 83218268000 85215506432 86546998720 88313264000 93312128000 95106592000 98910855680 100489984000 104509583360 106519383040 108183748400 108693248000 113040977920 123638569600 130636979200 133149228800 135229685500 138475197952 141301222400 152170547200 154548212000 158257369088 163296224000 166436536000 173093997440 176626528000 186624256000 190213184000 197821711360 200979968000 213038766080 216367496800 217386496000 247277139200 261273958400 266298457600 270459371000 276950395904 282602444800 304341094400 309096424000 326592448000 332873072000 346187994880 353253056000 373248512000 380426368000 395643422720 426077532160 432734993600 494554278400 522547916800 532596915200 540918742000 553900791808 565204889600 618192848000 653184896000 665746144000 692375989760 706506112000 760852736000 791286845440 865469987200 989108556800 1065193830400 1081837484000 1107801583616 1236385696000 1306369792000 1331492288000 1384751979520 1413012224000 1521705472000 1730939974400 1978217113600 2130387660800 2163674968000 2472771392000 2612739584000 2662984576000 2769503959040 2826024448000 3461879948800 3956434227200 4327349936000 4945542784000 5325969152000 5539007918080 6923759897600 8654699872000 9891085568000 10651938304000 13847519795200 17309399744000 19782171136000 27695039590400 34618799488000 69237598976000 138475197952000
- Sum of all divisors σ(n): 441163035278784
- Sum of proper divisors (its aliquot sum) s(n): 302687837326784
- 138475197952000 is an abundant number, because the sum of its proper divisors (302687837326784) is greater than itself. Its abundance is 164212639374784
Bases of 138475197952000
- Binary: 111110111110001010001001111101111110000000000002
- Hexadecimal: 0x7DF144FBF000
- Base-36: 1D32MLJBWG
Squares and roots of 138475197952000
- 138475197952000 squared (1384751979520002) is 19175380447845584994304000000
- 138475197952000 cubed (1384751979520003) is 2655314603320327794015487192465408000000000
-
The
square root of 138475197952000 is 11767548.5107136907 -
The
cube root of 138475197952000 is 51735.7399407125
Scales and comparisons
How big is 138475197952000?- 138,475,197,952,000 seconds is equal to 4,403,082 years, 50 weeks, 12 hours, 26 minutes, 40 seconds.
-
To count from 1 to 138,475,197,952,000 would take you about eleven million, seven thousand, seven hundred 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 138475197952000 cubic inches would be around 4311.3 feet tall.
Recreational maths with 138475197952000
- 138475197952000 backwards is 000259791574831
- The number of decimal digits it has is: 15
- The sum of 138475197952000's digits is 61
- More coming soon!
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The information we have on file for 138475197952000 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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