138570469073400
138,570,469,073,400 is an even composite number composed of eight prime numbers multiplied together.
138570469073400 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138570469073400:
23 × 3 × 52 × 72 × 13 × 31 × 3851 × 3037
(2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 13 × 31 × 3851 × 3037)See below for interesting mathematical facts about the number 138570469073400 from the Numbermatics database.
Names of 138570469073400
- Cardinal: 138570469073400 can be written as One hundred thirty-eight trillion, five hundred seventy billion, four hundred sixty-nine million, seventy-three thousand, four hundred.
Scientific notation
- Scientific notation: 1.385704690734 × 1014
Factors of 138570469073400
Divisors of 138570469073400
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 25 26 28 30 31 35 39 40 42 49 50 52 56 60 62 65 70 75 78 84 91 93 98 100 104 105 120 124 130 140 147 150 155 156 168 175 182 186 195 196 200 210 217 245 248 260 273 280 294 300 310 312 325 350 364 372 390 392 403 420 434 455 465 490 520 525 546 588 600 620 637 650 651 700 728 735 744 775 780 806 840 868 910 930 975 980 1050 1085 1092 1176 1209 1225 1240 1274 1300 1302 1365 1400 1470 1519 1550 1560 1612 1736 1820 1860 1911 1950 1960 2015 2100 2170 2184 2275 2325 2418 2450 2548 2600 2604 2730 2821 2940 3037 3038 3100 3185 3224 3255 3640 3675 3720 3822 3851 3900 4030 4200 4340 4550 4557 4650 4836 4900 5096 5208 5425 5460 5642 5880 6045 6074 6076 6200 6370 6510 6825 7350 7595 7644 7702 7800 8060 8463 8680 9100 9111 9114 9300 9555 9672 9800 10075 10850 10920 11284 11553 12090 12148 12152 12740 13020 13650 14105 14700 15185 15190 15288 15404 15925 16120 16275 16926 18200 18222 18228 18600 19110 19255 19747 20150 21259 21700 22568 22785 23106 24180 24296 25480 26040 26957 27300 28210 29400 30225 30370 30380 30808 31850 32550 33852 36444 36456 37975 38220 38510 39481 39494 40300 42315 42518 43400 45555 45570 46212 47775 48360 50063 53914 54600 56420 57765 59241 60450 60740 60760 63700 63777 65100 67704 70525 72888 75925 75950 76440 77020 78962 78988 80600 80871 84630 85036 91110 91140 92424 94147 95550 96275 98735 100126 106295 107828 112840 113925 115530 118443 118482 119381 120900 121480 127400 127554 130200 134785 141050 148813 150189 151850 151900 154040 157924 157976 161742 169260 170072 182220 182280 188294 188699 191100 192550 197405 197470 200252 211575 212590 215656 227775 227850 231060 236886 236964 238762 241800 250315 255108 269570 276367 282100 282441 288825 296205 297626 300378 303700 303800 315848 318885 323484 338520 350441 358143 364440 376588 377398 382200 385100 394810 394940 400504 404355 423150 425180 446439 455550 455700 462120 470735 473772 473928 477524 493675 500630 510216 531475 539140 552734 564200 564882 566097 577650 592215 592410 595252 596905 600756 607400 637770 646968 659029 673925 700882 716286 744065 750945 753176 754796 770200 789620 789880 808710 829101 835667 846300 850360 892878 911100 911400 941470 943495 947544 955048 987025 987350 1001260 1051323 1062950 1078280 1105468 1129764 1132194 1155300 1184430 1184820 1190504 1193810 1201512 1223911 1251575 1275540 1318058 1347850 1381835 1401764 1412205 1432572 1481025 1488130 1501890 1509592 1551953 1579240 1594425 1617420 1658202 1671334 1692600 1752205 1785756 1790715 1822200 1882940 1886990 1934569 1974050 1974700 1977087 2002520 2021775 2102646 2125900 2210936 2232195 2259528 2264388 2310600 2353675 2368860 2369640 2387620 2447822 2453087 2503150 2507001 2551080 2636116 2695700 2763670 2803528 2824410 2830485 2865144 2961075 2962050 2976260 2984525 3003780 3103906 3188850 3234840 3295145 3316404 3342668 3504410 3571512 3581430 3671733 3720325 3754725 3765880 3773980 3869138 3948100 3949400 3954174 4043550 4145505 4178335 4205292 4251800 4464390 4528776 4613203 4655859 4707350 4717475 4737720 4775240 4895644 4906174 5006300 5014002 5256615 5272232 5391400 5527340 5648820 5660970 5803707 5849669 5922150 5924100 5952520 5969050 6007560 6119555 6207812 6377700 6590290 6632808 6685336 6909175 7008820 7061025 7162860 7343466 7359261 7440650 7509450 7547960 7738276 7759765 7896200 7908348 8087100 8291010 8356670 8410584 8567377 8761025 8928780 8953575 9226406 9311718 9414700 9434950 9672845 9791288 9812348 9885435 10012600 10028004 10513230 10863671 11054680 11160975 11297640 11321940 11607414 11695487 11699338 11844300 11848200 11938100 12239110 12265435 12415624 12535005 12755400 13180580 13818350 13839609 14017640 14122050 14152425 14325720 14686932 14718522 14881300 15018900 15476552 15519530 15816696 16174200 16475725 16582020 16713340 17134754 17522050 17549007 17857560 17907150 18358665 18452812 18623436 18829400 18869900 19345690 19624696 19770870 20056008 20727525 20891675 21026460 21727342 22321950 22643880 23066015 23214828 23279295 23390974 23398676 23688600 23876200 24478220 24530870 25070010 25702131 26283075 26361160 27636700 27679218 28244100 28304850 29018535 29248345 29373864 29437044 29762600 30037800 30597775 31039060 32591013 32951450 33164040 33426680 34269508 35044100 35086461 35098014 35814300 36717330 36796305 36905624 37246872 37739800 38691380 38798825 39541740 41455050 41783350 42052920 42836885 43454684 44643900 46132030 46429656 46558590 46781948 46797352 48364225 48956440 49061740 49427175 50140020 51404262 52566150 54318355 55273400 55358436 56488200 56609700 58037070 58477435 58496690 58874088 59971639 61195550 61327175 62078120 62675025 65182026 65902900 68539016 69198045 70088200 70172922 70196028 71628600 73434660 73592610 76045697 77382760 77597650 79083480 81868409 82910100 83566700 85673770 86909368 87745035 89287800 91793325 92264060 93117180 93563896 96728450 98123480 98854350 100280040 102808524 105132300 108636710 110716872 113219400 115330075 116074140 116396475 116954870 116993380 119943278 122391100 122654350 125350050 128510655 130364052 131805800 138396090 140345844 140392056 145092675 146241725 146869320 147185220 152041331 152091394 155195300 162955065 163736818 165820200 167133400 171347540 175432305 175490070 179914917 183586650 183981525 184528120 186234360 193456900 197708700 205617048 210264600 214184425 217273420 228137091 230660150 232148280 232792950 233909740 233986760 239886556 244782200 245308700 245605227 250700100 257021310 260728104 271591775 276792180 280691688 290185350 292387175 292483450 294370440 299858195 304082662 304182788 310390600 325910130 327473636 342695080 345990225 350864610 350980140 359829834 362560097 367173300 367963050 380228485 386913800 395417400 409342045 428368850 434546840 438725175 456123993 456274182 461320300 465585900 467819480 479773112 490617400 491210454 501400200 514042620 543183550 553584360 573078863 580370700 584774350 584966900 599716390 608165324 608365576 642553275 651820260 654947272 691980450 701729220 701960280 719659668 725120194 734346600 735926100 760206655 760456970 814775325 818684090 856737700 877161525 877450350 899574585 912247986 912548364 922640600 931171800 982420908 1028085240 1064289317 1086367100 1087680291 1140685455 1146157726 1160741400 1169548700 1169933800 1199432780 1216330648 1228026135 1285106550 1303640520 1383960900 1403458440 1439319336 1450240388 1471852200 1499290975 1520413310 1520913940 1629550650 1637368180 1713475400 1719236589 1754323050 1754900700 1799149170 1812800485 1824495972 1825096728 1901142425 1964841816 2046710225 2128578634 2172734200 2175360582 2280619965 2281370910 2292315452 2339097400 2398865560 2456052270 2537920679 2570213100 2767921800 2865394315 2900480776 2998581950 3040826620 3041827880 3192867951 3259101300 3274736360 3438473178 3508646100 3509801400 3598298340 3625600970 3648991944 3801033275 3802284850 4093420450 4257157268 4350721164 4497872925 4561239930 4562741820 4584630904 4713281261 4912104540 5075841358 5140426200 5321446585 5438401455 5703427275 5730788630 5997163900 6081653240 6140130675 6385735902 6518202600 6876946356 7017292200 7196596680 7251201940 7450025219 7602066550 7604569700 7613762037 8186840900 8514314536 8596182945 8701442328 8995745850 9064002425 9122479860 9125483640 9426562522 9824209080 10151682716 10642893170 10876802910 11403099825 11406854550 11461577260 11994327800 12280261350 12689603395 12771471804 13753892712 14139843783 14326971575 14502403880 14900050438 15204133100 15209139400 15227524074 15964339755 16373681800 17192365890 17765444753 17991491700 18128004850 18244959720 18853125044 20303365432 21285786340 21753605820 22350075657 22806199650 22813709100 22923154520 23566406305 24560522700 25379206790 25542943608 26607232925 27192007275 28279687566 28653943150 29800100876 30408266200 30455048148 31928679510 32992968827 34384731780 35530889506 35982983400 36256009700 37250126095 37706250088 38068810185 42571572680 42980914725 43507211640 44700151314 45612399300 45627418200 47132812610 49121045400 50758413580 53214465850 53296334259 54384014550 56559375132 57307886300 59600201752 60910096296 63448016975 63857359020 65985937654 68769463560 70699218915 71061779012 72512019400 74500252190 76137620370 79821698775 85961829450 88827223765 89400302628 91224798600 94265625220 98978906481 101516827160 106428931700 106592668518 108768029100 111750378285 113118750264 114615772600 117832031525 126896033950 127714718040 131971875308 141398437830 142123558024 149000504380 152275240740 159643397550 164964844135 171923658900 177654447530 178800605256 186250630475 188531250440 190344050925 197957812962 212857863400 213185337036 217536058200 223500756570 230950781789 235664063050 253792067900 263943750616 266481671295 282796875660 298001008760 304550481480 319286795100 329929688270 343847317800 353496094575 355308895060 372501260950 380688101850 395915625924 426370674072 444136118825 447001513140 461901563578 471328126100 494894532405 507584135800 532963342590 558751891425 565593751320 638573590200 659859376540 692852345367 706992189150 710617790120 745002521900 761376203700 791831251848 824824220675 888272237650 894003026280 923803127156 942656252200 989789064810 1065926685180 1117503782850 1154753908945 1319718753080 1332408356475 1385704690734 1413984378300 1490005043800 1522752407400 1649648441350 1776544475300 1847606254312 1979578129620 2131853370360 2235007565700 2309507817890 2474472662025 2664816712950 2771409381468 2827968756600 3299296882700 3464261726835 3553088950600 3959156259240 4470015131400 4619015635780 4948945324050 5329633425900 5542818762936 5773769544725 6598593765400 6928523453670 9238031271560 9897890648100 10659266851800 11547539089450 13857046907340 17321308634175 19795781296200 23095078178900 27714093814680 34642617268350 46190156357800 69285234536700 138570469073400
- Sum of all divisors σ(n): 555827284776960
- Sum of proper divisors (its aliquot sum) s(n): 417256815703560
- 138570469073400 is an abundant number, because the sum of its proper divisors (417256815703560) is greater than itself. Its abundance is 278686346630160
Bases of 138570469073400
- Binary: 111111000000111011100111001010111100001111110002
- Hexadecimal: 0x7E077395E1F8
- Base-36: 1D4AE7I3NC
Squares and roots of 138570469073400
- 138570469073400 squared (1385704690734002) is 19201774899222105854587560000
- 138570469073400 cubed (1385704690734003) is 2660798954827045221040746560492366904000000
-
The
square root of 138570469073400 is 11771595.8592452535 -
The
cube root of 138570469073400 is 51747.6019735217
Scales and comparisons
How big is 138570469073400?- 138,570,469,073,400 seconds is equal to 4,406,112 years, 15 weeks, 12 hours, 50 minutes.
-
To count from 1 to 138,570,469,073,400 would take you about eleven million, fifteen thousand, two hundred eighty 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 138570469073400 cubic inches would be around 4312.3 feet tall.
Recreational maths with 138570469073400
- 138570469073400 backwards is 004370964075831
- The number of decimal digits it has is: 15
- The sum of 138570469073400's digits is 57
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138570469073400 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
APA style:
Numbermatics. (2024). Number 138570469073400 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/138570469073400/
Chicago style:
Numbermatics. 2024. "Number 138570469073400 - Facts about the integer". https://numbermatics.com/n/138570469073400/
The information we have on file for 138570469073400 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 138570469073400, math, Factors of 138570469073400, curriculum, school, college, exams, university, Prime factorization of 138570469073400, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, five hundred seventy billion, four hundred sixty-nine million, seventy-three thousand, four hundred.