138039529934400
138,039,529,934,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138039529934400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2016 divisors.
138039529934400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 138039529934400:
26 × 3 × 52 × 19 × 23 × 313 × 472
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 19 × 23 × 31 × 31 × 31 × 47 × 47)See below for interesting mathematical facts about the number 138039529934400 from the Numbermatics database.
Names of 138039529934400
- Cardinal: 138039529934400 can be written as One hundred thirty-eight trillion, thirty-nine billion, five hundred twenty-nine million, nine hundred thirty-four thousand, four hundred.
Scientific notation
- Scientific notation: 1.380395299344 × 1014
Factors of 138039529934400
Divisors of 138039529934400
- Number of divisors d(n): 2016
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 19 20 23 24 25 30 31 32 38 40 46 47 48 50 57 60 62 64 69 75 76 80 92 93 94 95 96 100 114 115 120 124 138 141 150 152 155 160 184 186 188 190 192 200 228 230 235 240 248 276 282 285 300 304 310 320 345 368 372 376 380 400 437 456 460 465 470 475 480 496 552 564 570 575 589 600 608 620 690 705 713 736 744 752 760 775 800 874 893 912 920 930 940 950 960 961 992 1081 1104 1128 1140 1150 1175 1178 1200 1216 1240 1311 1380 1410 1425 1426 1457 1472 1488 1504 1520 1550 1600 1725 1748 1767 1786 1824 1840 1860 1880 1900 1922 1984 2139 2162 2185 2208 2209 2256 2280 2300 2325 2350 2356 2400 2480 2622 2679 2760 2820 2850 2852 2883 2914 2945 2976 3008 3040 3100 3243 3450 3496 3525 3534 3565 3572 3648 3680 3720 3760 3800 3844 4278 4324 4370 4371 4416 4418 4465 4512 4560 4600 4650 4700 4712 4800 4805 4960 5244 5358 5405 5520 5640 5700 5704 5766 5828 5890 5952 6080 6200 6486 6555 6627 6900 6992 7050 7068 7130 7144 7285 7360 7440 7520 7600 7688 8556 8648 8740 8742 8835 8836 8930 9024 9120 9200 9300 9400 9424 9610 9920 10488 10695 10716 10810 10925 11040 11045 11280 11400 11408 11532 11656 11780 12400 12972 13110 13254 13395 13547 13800 13984 14100 14136 14260 14288 14415 14570 14725 14880 15040 15200 15376 16215 17112 17296 17480 17484 17670 17672 17825 17860 18240 18259 18400 18600 18800 18848 19220 20539 20976 21390 21432 21620 21850 21855 22080 22090 22103 22325 22560 22800 22816 23064 23312 23560 24025 24800 25944 26220 26508 26790 27025 27094 27600 27683 27968 28200 28272 28520 28576 28830 29140 29450 29760 29791 30400 30752 32430 32775 33135 33511 34224 34592 34960 34968 35340 35344 35650 35720 36425 36518 36800 37200 37600 37696 38440 40641 41078 41952 41971 42780 42864 43240 43700 43710 44175 44180 44206 44650 45120 45167 45600 45632 46128 46624 47120 48050 49600 50807 51888 52440 53016 53475 53580 54050 54188 54777 55200 55225 55366 56400 56544 57040 57152 57660 58280 58900 59582 61504 61617 64860 65550 66270 66309 66975 67022 67735 68448 68479 69184 69920 69936 70680 70688 71300 71440 72075 72850 73036 74400 75200 76880 81075 81282 82156 83049 83904 83942 85560 85728 86480 87400 87420 88350 88360 88412 89300 89373 90334 91200 91295 92256 93248 94240 96100 100533 101614 102695 103776 104880 106032 106950 107160 108100 108376 109275 109554 110400 110450 110515 110732 112800 113088 114080 115320 116560 117800 119164 123234 125913 129720 131100 132540 132618 133950 134044 135470 135501 136896 136958 138415 139840 139872 141360 141376 142600 142880 144150 145700 146072 148800 148955 152421 153760 162150 162564 164312 165675 166098 167555 167884 171120 171456 172960 174800 174840 176700 176720 176824 178600 178746 180668 182590 184512 188480 192200 201066 203205 203228 205390 205437 207552 209760 209855 212064 213900 214320 216200 216752 218550 219108 220900 221030 221464 225600 225835 228160 230640 233120 235600 238328 246468 251826 254035 259440 262200 265080 265236 267900 268088 270940 271002 273885 273916 276830 279744 282720 285200 285760 288300 291400 292144 297910 304842 307520 308085 324300 325128 328624 331350 331545 332196 335110 335768 338675 342240 342395 345920 349600 349680 353400 353440 353648 357200 357492 361336 365180 384400 402132 406410 406456 410780 410874 415245 419520 419710 419957 424128 427800 428640 432400 433504 437100 438216 441800 442060 442928 446865 451670 456475 461280 466240 471200 476656 492936 502665 503652 508070 513475 518880 524400 530160 530472 535800 536176 541880 542004 547770 547832 552575 553660 565440 566029 570400 576600 582800 584288 595820 609684 616170 629565 636709 648600 650256 657248 662700 663090 664392 670220 671536 677350 677505 684480 684790 685193 692075 699200 699360 706800 706880 707296 714400 714984 722672 730360 744775 762105 768800 804264 812820 812912 821560 821748 830490 837775 839420 839914 855600 857280 858173 864800 867008 874200 876432 883600 884120 885856 893730 903340 912950 922560 942400 953312 965333 985872 1005330 1007304 1016025 1016140 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3220407100 3226730480 3288926400 3290415950 3360424800 3396558400 3591038760 3661914525 3671264094 3710740052 3751074183 3780040800 3789691968 3864488520 3872076576 3905600100 3906042160 3947595800 3948499140 3990504450 4033413100 4119230400 4165973440 4211732416 4256538080 4488798450 4540774011 4633598400 4638425065 4687250592 4737114960 4788051680 4830610650 4840095720 4882552700 4895018792 4935623925 4986436800 5001432244 5094837600 5107845696 5152651360 5207466800 5264665520 5320672600 5566110078 5745662016 5859063240 5921393700 5985064600 6050119650 6054365348 6118773490 6183181632 6245284800 6248960160 6251790305 6316153280 6317598624 6384807120 6440814200 6453460960 6580831900 6720849600 7182077520 7323829050 7342528188 7421480104 7502148366 7560081600 7567956685 7728977040 7744153152 7811200200 7812084320 7895191600 7896998280 7981008900 8066826200 8513076160 8977596900 9081548022 9178160235 9276850130 9374501184 9474229920 9576103360 9661221300 9680191440 9765105400 9790037584 9871247850 10002864488 10189675200 10305302720 10414933600 10529331040 10641345200 11132220156 11718126480 11842787400 11970129200 12100239300 12108730696 12237546980 12497920320 12503580610 12635197248 12769614240 12881628400 12906921920 13161663800 13915275195 14364155040 14647658100 14685056376 14842960208 15004296732 15135913370 15296933725 15457954080 15622400400 15624168640 15790383200 15793996560 15962017800 16133652400 17955193800 18163096044 18356320470 18553700260 18755370915 18948459840 19322442600 19360382880 19530210800 19580075168 19742495700 20005728976 20829867200 21058662080 21282690400 22264440312 22703870055 23192125325 23436252960 23685574800 23940258400 24200478600 24217461392 24475093960 25007161220 25539228480 25763256800 26323327600 27830550390 28728310080 28758235403 29295316200 29370112752 29685920416 30008593464 30271826740 30593867450 30915908160 31244800800 31258951525 31580766400 31587993120 31924035600 32267304800 35910387600 36326192088 36712640940 37107400520 37510741830 37839783425 38644885200 38720765760 39060421600 39160150336 39484991400 40011457952 42565380800 44528880624 45407740110 45890801175 46384250650 46872505920 47371149600 47880516800 48400957200 48434922784 48950187920 50014322440 51526513600 52646655200 55661100780 57516470806 58590632400 58740225504 59371840832 60017186928 60543653480 61187734900 62489601600 62517903050 63175986240 63848071200 64534609600 69576375975 71820775200 72652384176 73425281880 74214801040 75021483660 75679566850 77289770400 78120843200 78969982800 80022915904 86274706209 89057761248 90815480220 91781602350 92768501300 93776854575 94742299200 96801914400 96869845568 97900375840 100028644880 105293310400 111322201560 113519350275 115032941612 117181264800 117480451008 120034373856 121087306960 122375469800 125035806100 127696142400 139152751950 143641550400 143791177015 145304768352 146850563760 148429602080 150042967320 151359133700 154579540800 157939965600 172549412418 178115522496 181630960440 183563204700 185537002600 187553709150 193603828800 195800751680 200057289760 222644403120 227038700550 230065883224 234362529600 240068747712 242174613920 244750939600 250071612200 278305503900 287582354030 290609536704 293701127520 296859204160 300085934640 302718267400 315879931200 345098824836 363261920880 367126409400 371074005200 375107418300 400114579520 431373531045 445288806240 454077401100 460131766448 484349227840 489501879200 500143224400 556611007800 575164708060 587402255040 600171869280 605436534800 690197649672 718955885075 726523841760 734252818800 742148010400 750214836600 862747062090 890577612480 908154802200 920263532896 979003758400 1000286448800 1113222015600 1150329416120 1200343738560 1210873069600 1380395299344 1437911770150 1453047683520 1468505637600 1484296020800 1500429673200 1725494124180 1816309604400 1840527065792 2000572897600 2156867655225 2226444031200 2300658832240 2421746139200 2760790598688 2875823540300 2937011275200 3000859346400 3450988248360 3632619208800 4313735310450 4452888062400 4601317664480 5521581197376 5751647080600 6001718692800 6901976496720 7265238417600 8627470620900 9202635328960 11503294161200 13803952993440 17254941241800 23006588322400 27607905986880 34509882483600 46013176644800 69019764967200 138039529934400
- Sum of all divisors σ(n): 525198228971520
- Sum of proper divisors (its aliquot sum) s(n): 387158699037120
- 138039529934400 is an abundant number, because the sum of its proper divisors (387158699037120) is greater than itself. Its abundance is 249119169102720
Bases of 138039529934400
- Binary: 111110110001011110101010010010110001110010000002
- Hexadecimal: 0x7D8BD5258E40
- Base-36: 1CXIHG1Q2O
Squares and roots of 138039529934400
- 138039529934400 squared (1380395299344002) is 19054911824510113668303360000
- 138039529934400 cubed (1380395299344003) is 2630331071196816355331308255180099584000000
-
The
square root of 138039529934400 is 11749022.5097409699 -
The
cube root of 138039529934400 is 51681.4262756677
Scales and comparisons
How big is 138039529934400?- 138,039,529,934,400 seconds is equal to 4,389,230 years, 3 weeks, 3 days, 14 hours, 40 minutes.
-
To count from 1 to 138,039,529,934,400 would take you about ten million, nine hundred seventy-three thousand and seventy-five 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 138039529934400 cubic inches would be around 4306.8 feet tall.
Recreational maths with 138039529934400
- 138039529934400 backwards is 004439925930831
- 138039529934400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138039529934400's digits is 60
- More coming soon!
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"Number 138039529934400 - Facts about the integer". Numbermatics.com. 2024. Web. 15 May 2024.
APA style:
Numbermatics. (2024). Number 138039529934400 - Facts about the integer. Retrieved 15 May 2024, from https://numbermatics.com/n/138039529934400/
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The information we have on file for 138039529934400 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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