138701881192000
138,701,881,192,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138701881192000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 896 divisors.
138701881192000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred ninety-six divisors.
Prime factorization of 138701881192000:
26 × 53 × 7 × 31 × 41 × 43 × 45319
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 31 × 41 × 43 × 45319)See below for interesting mathematical facts about the number 138701881192000 from the Numbermatics database.
Names of 138701881192000
- Cardinal: 138701881192000 can be written as One hundred thirty-eight trillion, seven hundred one billion, eight hundred eighty-one million, one hundred ninety-two thousand.
Scientific notation
- Scientific notation: 1.38701881192 × 1014
Factors of 138701881192000
Divisors of 138701881192000
- Number of divisors d(n): 896
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 31 32 35 40 41 43 50 56 62 64 70 80 82 86 100 112 124 125 140 155 160 164 172 175 200 205 215 217 224 248 250 280 287 301 310 320 328 344 350 400 410 430 434 448 496 500 560 574 602 620 656 688 700 775 800 820 860 868 875 992 1000 1025 1075 1085 1120 1148 1204 1240 1271 1312 1333 1376 1400 1435 1505 1550 1600 1640 1720 1736 1750 1763 1984 2000 2050 2150 2170 2240 2296 2408 2480 2542 2624 2666 2752 2800 2870 3010 3100 3280 3440 3472 3500 3526 3875 4000 4100 4300 4340 4592 4816 4960 5084 5125 5332 5375 5425 5600 5740 6020 6200 6355 6560 6665 6880 6944 7000 7052 7175 7525 7750 8000 8200 8600 8680 8815 8897 9184 9331 9632 9920 10168 10250 10664 10750 10850 11200 11480 12040 12341 12400 12710 13120 13330 13760 13888 14000 14104 14350 15050 15500 16400 17200 17360 17630 17794 18368 18662 19264 20336 20500 21328 21500 21700 22960 24080 24682 24800 25420 26660 27125 28000 28208 28700 30100 31000 31775 32800 33325 34400 34720 35260 35588 35875 37324 37625 40672 41000 42656 43000 43400 44075 44485 45319 45920 46655 48160 49364 49600 50840 53320 54250 54653 56000 56416 57400 60200 61705 62000 63550 65600 66650 68800 69440 70520 71176 71750 74648 75250 81344 82000 85312 86000 86800 88150 88970 90638 91840 93310 96320 98728 101680 106640 108500 109306 112832 114800 120400 123410 124000 127100 133300 141040 142352 143500 149296 150500 158875 164000 166625 172000 173600 176300 177940 181276 186620 197456 203360 213280 217000 218612 220375 222425 226595 229600 233275 240800 246820 248000 254200 266600 273265 282080 284704 287000 298592 301000 308525 317233 317750 328000 333250 344000 347200 352600 355880 362552 373240 382571 394912 406720 426560 434000 437224 440750 444850 453190 459200 466550 481600 493640 508400 533200 546530 564160 569408 574000 597184 602000 617050 634466 635500 666500 705200 711760 725104 746480 765142 789824 868000 874448 881500 889700 906380 933100 987280 1016800 1066400 1093060 1112125 1132975 1148000 1166375 1204000 1234100 1268932 1271000 1333000 1366325 1404889 1410400 1423520 1450208 1492960 1530284 1542625 1586165 1736000 1748896 1763000 1779400 1812760 1858079 1866200 1912855 1948717 1974560 2033600 2132800 2186120 2224250 2265950 2296000 2332750 2408000 2468200 2537864 2542000 2666000 2732650 2809778 2820800 2847040 2900416 2985920 3060568 3085250 3172330 3497792 3526000 3558800 3625520 3716158 3732400 3825710 3897434 3949120 4372240 4448500 4531900 4665500 4936400 5075728 5084000 5332000 5465300 5619556 5664875 6121136 6170500 6344660 6831625 7024445 7052000 7117600 7251040 7432316 7464800 7651420 7794868 7930825 8744480 8897000 9063800 9290395 9331000 9564275 9743585 9834223 9872800 10151456 10168000 10664000 10930600 11239112 11329750 12242272 12341000 12689320 13006553 13641019 13663250 14048890 14104000 14235200 14502080 14864632 14929600 15302840 15589736 15861650 17488960 17794000 18127600 18580790 18662000 19128550 19487170 19668446 19745600 20302912 21861200 22478224 22659500 24484544 24682000 25378640 26013106 27282038 27326500 28097780 29729264 30605680 31179472 31723300 35122225 35588000 36255200 37161580 37324000 38257100 38974340 39336892 39654125 43722400 44956448 45319000 46451975 47821375 48717925 49171115 49364000 50757280 52026212 54564076 54653000 56195560 57600449 59458528 60410227 61211360 62358944 63446600 65032765 68205095 70244450 71176000 72510400 74323160 74648000 76514200 77948680 78673784 79308250 79897397 87444800 89912896 90638000 92903950 95642750 97435850 98342230 98728000 101514560 104052424 109128152 109306000 112391120 115200898 118917056 120820454 122422720 124717888 126893200 130065530 136410190 140488900 148646320 153028400 155897360 157347568 158616500 159794794 175611125 181276000 185807900 191285500 194871700 196684460 208104848 218256304 218612000 224782240 230401796 232259875 241640908 243589625 245855575 253786400 260131060 272820380 280977800 288002245 297292640 302051135 306056800 311794720 314695136 317233000 319589588 325163825 341025475 351222250 362552000 371615800 382571000 389743400 393368920 399486985 403203143 416209696 422871589 436512608 437224000 449564480 460803592 464519750 483281816 487179250 491711150 507572800 520262120 545640760 559281779 561955600 576004490 594585280 604102270 612113600 623589440 629390272 634466000 639179176 650327650 682050950 702444500 743231600 765142000 779486800 786737840 798973970 806406286 832419392 845743178 873025216 921607184 929039500 966563632 974358500 983422300 1040524240 1091281520 1118563558 1123911200 1152008980 1208204540 1229277875 1268932000 1278358352 1300655300 1364101900 1404889000 1440011225 1486463200 1510255675 1530284000 1558973600 1573475680 1597947940 1612812572 1625819125 1691486356 1705127375 1843214368 1858079000 1933127264 1948717000 1966844600 1997434925 2016015715 2081048480 2114357945 2182563040 2237127116 2247822400 2304017960 2416409080 2458555750 2476819307 2537864000 2556716704 2601310600 2728203800 2796408895 2809778000 2880022450 2972926400 3020511350 3060568000 3117947200 3146951360 3195895880 3225625144 3251638250 3382972712 3410254750 3686428736 3716158000 3866254528 3897434000 3933689200 3994869850 4032031430 4162096960 4228715890 4365126080 4474254232 4608035920 4832818160 4917111500 4953638614 5113433408 5202621200 5456407600 5592817790 5619556000 5760044900 6041022700 6391791760 6451250288 6503276500 6765945424 6820509500 7200056125 7432316000 7551278375 7794868000 7867378400 7989739700 8064062860 8457431780 8948508464 9216071840 9665636320 9834223000 9907277228 9987174625 10080078575 10405242400 10571789725 10912815200 11185635580 11239112000 11520089800 12082045400 12384096535 12783583520 12902500576 13006553000 13531890848 13641019000 13982044475 14400112250 14864632000 15102556750 15589736000 15734756800 15979479400 16128125720 16914863560 17337735149 17897016928 18432143680 19331272640 19668446000 19814554456 19974349250 20160157150 20810484800 21143579450 21825630400 22371271160 23040179600 24164090800 24768193070 25567167040 25805001152 26013106000 27063781696 27282038000 27964088950 28800224500 30205113500 31958958800 32256251440 33829727120 34675470298 35794033856 39336892000 39629108912 39948698500 40320314300 42287158900 44742542320 46080359200 48328181600 49536386140 50400392875 52026212000 52858948625 54564076000 55928177900 57600449000 60410227000 61920482675 63917917600 64512502880 67659454240 69350940596 69910222375 78673784000 79258217824 79897397000 80640628600 84574317800 86688675745 89485084640 92160718400 96656363200 99072772280 100800785750 104052424000 105717897250 109128152000 111856355800 115200898000 120820454000 123840965350 127835835200 129025005760 135318908480 138701881192 139820444750 158516435648 159794794000 161281257200 169148635600 173377351490 178970169280 198145544560 201601571500 211435794500 223712711600 230401796000 241640908000 247681930700 277403762384 279640889500 309602413375 319589588000 322562514400 338297271200 346754702980 396291089120 403203143000 422871589000 433443378725 447425423200 460803592000 483281816000 495363861400 554807524768 559281779000 619204826750 639179176000 645125028800 676594542400 693509405960 792582178240 806406286000 845743178000 866886757450 894850846400 990727722800 1109615049536 1118563558000 1238409653500 1387018811920 1612812572000 1691486356000 1733773514900 1981455445600 2167216893625 2237127116000 2476819307000 2774037623840 3225625144000 3382972712000 3467547029800 3962910891200 4334433787250 4474254232000 4953638614000 5548075247680 6935094059600 8668867574500 9907277228000 13870188119200 17337735149000 19814554456000 27740376238400 34675470298000 69350940596000 138701881192000
- Sum of all divisors σ(n): 424776177745920
- Sum of proper divisors (its aliquot sum) s(n): 286074296553920
- 138701881192000 is an abundant number, because the sum of its proper divisors (286074296553920) is greater than itself. Its abundance is 147372415361920
Bases of 138701881192000
- Binary: 111111000100110000011000101101110101110010000002
- Hexadecimal: 0x7E260C5BAE40
- Base-36: 1D5YRIVVB4
Squares and roots of 138701881192000
- 138701881192000 squared (1387018811920002) is 19238211846199683340864000000
- 138701881192000 cubed (1387018811920003) is 2668376173838115455452540166629888000000000
-
The
square root of 138701881192000 is 11777176.2826239465 -
The
cube root of 138701881192000 is 51763.9549370559
Scales and comparisons
How big is 138701881192000?- 138,701,881,192,000 seconds is equal to 4,410,290 years, 41 weeks, 3 hours, 6 minutes, 40 seconds.
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To count from 1 to 138,701,881,192,000 would take you about eleven million, twenty-five thousand, seven hundred twenty-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 138701881192000 cubic inches would be around 4313.7 feet tall.
Recreational maths with 138701881192000
- 138701881192000 backwards is 000291188107831
- The number of decimal digits it has is: 15
- The sum of 138701881192000's digits is 49
- More coming soon!
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The information we have on file for 138701881192000 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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