138797642037120
138,797,642,037,120 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138797642037120 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1152 divisors.
138797642037120 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138797642037120:
27 × 3 × 5 × 112 × 31 × 71 × 5212
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 11 × 31 × 71 × 521 × 521)See below for interesting mathematical facts about the number 138797642037120 from the Numbermatics database.
Names of 138797642037120
- Cardinal: 138797642037120 can be written as One hundred thirty-eight trillion, seven hundred ninety-seven billion, six hundred forty-two million, thirty-seven thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.3879764203712 × 1014
Factors of 138797642037120
Divisors of 138797642037120
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 31 32 33 40 44 48 55 60 62 64 66 71 80 88 93 96 110 120 121 124 128 132 142 155 160 165 176 186 192 213 220 240 242 248 264 284 310 320 330 341 352 355 363 372 384 426 440 465 480 484 496 521 528 568 605 620 640 660 682 704 710 726 744 781 852 880 930 960 968 992 1023 1042 1056 1065 1136 1210 1240 1320 1364 1408 1420 1452 1488 1562 1563 1704 1705 1760 1815 1860 1920 1936 1984 2046 2084 2112 2130 2201 2272 2343 2420 2480 2605 2640 2728 2840 2904 2976 3124 3126 3408 3410 3520 3630 3720 3751 3872 3905 3968 4092 4168 4224 4260 4402 4544 4686 4840 4960 5115 5210 5280 5456 5680 5731 5808 5952 6248 6252 6603 6816 6820 7040 7260 7440 7502 7744 7810 7815 8184 8336 8520 8591 8804 9088 9372 9680 9920 10230 10420 10560 10912 11005 11253 11360 11462 11616 11715 11904 12496 12504 13206 13632 13640 14520 14880 15004 15488 15620 15630 16151 16368 16672 17040 17182 17193 17608 18744 18755 19360 19840 20460 20840 21120 21824 22010 22506 22720 22924 23232 23430 24211 24992 25008 25773 26412 27264 27280 28655 29040 29760 30008 31240 31260 32302 32736 33015 33344 34080 34364 34386 35216 36991 37488 37510 38720 40920 41680 42955 43648 44020 45012 45440 45848 46464 46860 48422 48453 49984 50016 51546 52824 54560 56265 57310 58080 59520 60016 62480 62520 63041 64604 65472 66030 66688 68160 68728 68772 70432 72633 73982 74976 75020 77440 80755 81840 83360 85910 85965 88040 90024 91696 93720 96844 96906 99968 100032 103092 105648 109120 110973 112530 114620 116160 120032 121055 124960 125040 126082 128865 129208 130944 132060 136320 137456 137544 140864 145266 147964 149952 150040 161510 163680 166720 171820 171930 176080 177661 180048 183392 184955 187440 189123 193688 193812 200064 206184 211296 218240 221946 225060 229240 232320 240064 242110 242265 249920 250080 252164 257730 258416 264120 266321 271441 274912 275088 281728 290532 295928 299904 300080 315205 323020 327360 333440 343640 343860 352160 355322 360096 363165 366784 369910 374880 378246 387376 387624 406901 412368 422592 443892 450120 458480 480128 484220 484530 499840 500160 504328 515460 516832 528240 532642 532983 542882 549824 550176 554865 581064 591856 600160 630410 646040 654720 687280 687720 704320 710644 720192 726330 733568 739820 749760 756492 774752 775248 798963 813802 814323 824736 845184 887784 888305 900240 916960 945615 968440 969060 1000320 1008656 1030920 1033664 1056480 1065284 1065966 1085764 1099648 1100352 1109730 1146721 1162128 1183712 1200320 1220703 1260820 1292080 1331605 1357205 1374560 1375440 1408640 1421288 1440384 1452660 1479640 1499520 1512984 1549504 1550496 1597926 1627604 1628646 1649472 1775568 1776610 1800480 1833920 1891230 1936880 1938120 1954271 2017312 2034505 2061840 2067328 2112960 2130568 2131932 2171528 2200704 2219460 2293442 2324256 2367424 2400640 2441406 2521640 2584160 2663210 2664915 2714410 2749120 2750880 2842576 2905320 2959280 2985851 3025968 3099008 3100992 3195852 3255208 3257292 3298944 3440163 3551136 3553220 3600960 3667840 3782460 3873760 3876240 3908542 3994815 4034624 4069010 4071615 4123680 4225920 4261136 4263864 4343056 4438920 4475911 4586884 4648512 4734848 4882812 5043280 5168320 5326420 5329830 5428820 5498240 5501760 5685152 5733605 5810640 5862813 5918560 5971702 6051936 6103515 6201984 6391704 6510416 6514584 6880326 7102272 7106440 7201920 7564920 7747520 7752480 7817084 7989630 8069248 8138020 8143230 8247360 8414671 8522272 8527728 8686112 8877840 8951822 8957553 9173768 9297024 9765624 9771355 10086560 10336640 10652840 10659660 10857640 11003520 11370304 11467210 11621280 11725626 11837120 11943404 12103872 12207030 12613931 12783408 13020832 13029168 13427733 13760652 14204544 14212880 14929255 15129840 15495040 15504960 15634168 15979260 16276040 16286460 16494720 16829342 17044544 17055456 17200815 17372224 17755680 17903644 17915106 18347536 19272311 19531248 19542710 20173120 21305680 21319320 21715280 22379555 22740608 22934420 23242560 23451252 23674240 23886808 24207744 24414060 25227862 25244013 25566816 26041664 26058336 26855466 27521304 28425760 29314065 29858510 30259680 31009920 31268336 31958520 32552080 32572920 32844361 33658684 34089088 34110912 34401630 34744448 35511360 35807288 35830212 36695072 37841793 38544622 39062496 39085420 40346240 42073355 42611360 42638640 43430560 44759110 44787765 45868840 46485120 46902504 47773616 48828120 50455724 50488026 51133632 52083328 52116672 53710932 55042608 56851520 57816933 58628130 59717020 60519360 62536672 63069655 63917040 65104160 65145840 65688722 67138665 67317368 68221824 68803260 71022720 71614576 71660424 73390144 75683586 77089244 78124992 78170840 84146710 85222720 85277280 86861120 89518220 89575530 91737680 92561381 93805008 95547232 96361555 97656240 98533083 100911448 100976052 102267264 104233344 107421864 110085216 113703040 115633866 117256260 119434040 121038720 125073344 126139310 126220065 127834080 130208320 130291680 131377444 134277330 134634736 137606520 138753241 143229152 143320848 146780288 151367172 154178488 156249984 156341680 164221805 168293420 170445440 170554560 173722240 179036440 179151060 183475360 185122762 187610016 189208965 191094464 192723110 195312480 197066166 201822896 201952104 211995421 214843728 220170432 231267732 234512520 238868080 250146688 252278620 252440130 255668160 260416640 260583360 262754888 268554660 269269472 275213040 277506482 277684143 286458304 286641696 289084665 302734344 308356976 312683360 328443610 336586840 341109120 358072880 358302120 366950720 370245524 375220032 378417930 382188928 385446220 390624960 394132332 403645792 403904208 416259723 423990842 429687456 440340864 462535464 462806905 469025040 477736160 492665415 504557240 504880260 511336320 521166720 525509776 537109320 538538944 550426080 555012964 555368286 572916608 573283392 578169330 597441641 605468688 616713952 625366720 635986263 656887220 673173680 693766205 716145760 716604240 733901440 740491048 750440064 756835860 770892440 781249920 788264664 807291584 807808416 832519446 847981684 859374912 925070928 925613810 938050080 955472320 985330830 1009114480 1009760520 1018175191 1051019552 1059977105 1074218640 1077077888 1100852160 1110025928 1110736572 1146566784 1156338660 1194883282 1210937376 1233427904 1250733440 1271972526 1313774440 1346347360 1387532410 1388420715 1432291520 1433208480 1480982096 1513671720 1541784880 1576529328 1614583168 1615616832 1665038892 1695963368 1718749824 1792324923 1850141856 1851227620 1876100160 1910944640 1970661660 2018228960 2019521040 2036350382 2081298615 2102039104 2119954210 2148437280 2201704320 2220051856 2221473144 2312677320 2331949631 2389766564 2421874752 2466855808 2543945052 2627548880 2692694720 2775064820 2776841430 2864583040 2866416960 2961964192 2987208205 3027343440 3054525573 3083569760 3153058656 3179931315 3231233664 3330077784 3391926736 3584649846 3700283712 3702455240 3752200320 3941323320 4036457920 4039042080 4072700764 4162597230 4204078208 4239908420 4296874560 4440103712 4442946288 4625354640 4663899262 4779533128 4843749504 5087890104 5090875955 5255097760 5385389440 5550129640 5553682860 5732833920 5923928384 5974416410 6054686880 6109051146 6167139520 6306117312 6359862630 6571858051 6660155568 6783853472 6995848893 7169299692 7400567424 7404910480 7882646640 8072915840 8078084160 8145401528 8325194460 8479816840 8593749120 8880207424 8885892576 8961624615 9250709280 9327798524 9559066256 10175780208 10181751910 10510195520 11100259280 11107365720 11659748155 11847856768 11948832820 12109373760 12218102292 12334279040 12612234624 12719725260 13143716102 13320311136 13567706944 13991697786 14338599384 14809820960 15272627865 15765293280 16156168320 16290803056 16650388920 16959633680 17760414848 17771785152 17923249230 18501418560 18655597048 19118132512 19715574153 20351560416 20363503820 21020391040 22200518560 22214731440 23319496310 23897665640 24218747520 24436204584 25439450520 26287432204 26640622272 27135413888 27983395572 28677198768 29619641920 30545255730 31530586560 32581606112 32859290255 33300777840 33919267360 34979244465 35543570304 35846498460 37002837120 37311194096 38236265024 39431148306 40703120832 40727007640 44401037120 44429462880 46638992620 47795331280 48872409168 50878901040 52574864408 53281244544 55966791144 57354397536 59239283840 61090511460 63061173120 65163212224 65718580510 66601555680 67838534720 69958488930 71692996920 72290438561 74622388192 76472530048 78862296612 81406241664 81454015280 88802074240 88858925760 93277985240 95590662560 97744818336 98577870765 101757802080 105149728816 111933582288 114708795072 122181022920 130326424448 131437161020 133203111360 135677069440 139916977860 143385993840 144580877122 149244776384 157724593224 162908030560 177717851520 186555970480 191181325120 195489636672 197155741530 203515604160 210299457632 216871315683 223867164576 229417590144 244362045840 262874322040 266406222720 279833955720 286771987680 289161754244 298489552768 315449186448 325816061120 361452192805 373111940960 382362650240 390979273344 394311483060 407031208320 420598915264 433742631366 447734329152 488724091680 525748644080 559667911440 573543975360 578323508488 630898372896 651632122240 722904385610 746223881920 788622966120 841197830528 867485262732 895468658304 977448183360 1051497288160 1084356578415 1119335822880 1147087950720 1156647016976 1261796745792 1445808771220 1492447763840 1577245932240 1734970525464 1954896366720 2102994576320 2168713156830 2238671645760 2313294033952 2523593491584 2891617542440 3154491864480 3469941050928 4205989152640 4337426313660 4477343291520 4626588067904 5783235084880 6308983728960 6939882101856 8674852627320 9253176135808 11566470169760 12617967457920 13879764203712 17349705254640 23132940339520 27759528407424 34699410509280 46265880679040 69398821018560 138797642037120
- Sum of all divisors σ(n): 510029576017920
- Sum of proper divisors (its aliquot sum) s(n): 371231933980800
- 138797642037120 is an abundant number, because the sum of its proper divisors (371231933980800) is greater than itself. Its abundance is 232434291943680
Bases of 138797642037120
- Binary: 111111000111100010110000010011000110111100000002
- Hexadecimal: 0x7E3C58263780
- Base-36: 1D76R8F4AO
Squares and roots of 138797642037120
- 138797642037120 squared (1387976420371202) is 19264785435064500943457894400
- 138797642037120 cubed (1387976420371203) is 2673906792738005684208325344026161840128000
-
The
square root of 138797642037120 is 11781241.1076728245 -
The
cube root of 138797642037120 is 51775.8649407073
Scales and comparisons
How big is 138797642037120?- 138,797,642,037,120 seconds is equal to 4,413,335 years, 35 weeks, 5 days, 5 hours, 52 minutes.
-
To count from 1 to 138,797,642,037,120 would take you about eleven million, thirty-three thousand, three hundred thirty-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 138797642037120 cubic inches would be around 4314.7 feet tall.
Recreational maths with 138797642037120
- 138797642037120 backwards is 021730246797831
- 138797642037120 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138797642037120's digits is 60
- More coming soon!
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The information we have on file for 138797642037120 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!
Keywords: Divisors of 138797642037120, math, Factors of 138797642037120, curriculum, school, college, exams, university, Prime factorization of 138797642037120, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, seven hundred ninety-seven billion, six hundred forty-two million, thirty-seven thousand, one hundred twenty.