138149591888000
138,149,591,888,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138149591888000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2048 divisors.
138149591888000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand and forty-eight divisors.
Prime factorization of 138149591888000:
27 × 53 × 7 × 11 × 19 × 31 × 61 × 3121
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 11 × 19 × 31 × 61 × 3121)See below for interesting mathematical facts about the number 138149591888000 from the Numbermatics database.
Names of 138149591888000
- Cardinal: 138149591888000 can be written as One hundred thirty-eight trillion, one hundred forty-nine billion, five hundred ninety-one million, eight hundred eighty-eight thousand.
Scientific notation
- Scientific notation: 1.38149591888 × 1014
Factors of 138149591888000
Divisors of 138149591888000
- Number of divisors d(n): 2048
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 19 20 22 25 28 31 32 35 38 40 44 50 55 56 61 62 64 70 76 77 80 88 95 100 110 112 122 124 125 128 133 140 152 154 155 160 175 176 190 200 209 217 220 224 244 248 250 266 275 280 304 305 308 310 320 341 350 352 380 385 400 418 427 434 440 448 475 488 496 500 532 550 560 589 608 610 616 620 640 665 671 682 700 704 760 770 775 800 836 854 868 875 880 896 950 976 992 1000 1045 1064 1085 1100 1120 1159 1178 1216 1220 1232 1240 1330 1342 1364 1375 1400 1408 1463 1520 1525 1540 1550 1600 1672 1705 1708 1736 1750 1760 1891 1900 1925 1952 1984 2000 2090 2128 2135 2170 2200 2240 2318 2356 2375 2387 2432 2440 2464 2480 2660 2684 2728 2750 2800 2926 2945 3040 3050 3080 3100 3121 3200 3325 3344 3355 3410 3416 3472 3500 3520 3782 3800 3850 3875 3904 3968 4000 4123 4180 4256 4270 4340 4400 4480 4636 4697 4712 4750 4774 4880 4928 4960 5225 5320 5368 5425 5456 5500 5600 5795 5852 5890 6080 6100 6160 6200 6242 6479 6650 6688 6710 6820 6832 6944 7000 7040 7315 7564 7600 7625 7700 7750 7808 8000 8113 8246 8360 8512 8525 8540 8680 8800 9272 9394 9424 9455 9500 9548 9625 9760 9856 9920 10450 10640 10675 10736 10850 10912 11000 11200 11590 11704 11780 11935 12160 12200 12320 12400 12484 12749 12958 13237 13300 13376 13420 13640 13664 13888 14000 14630 14725 15128 15200 15250 15400 15500 15605 16000 16226 16492 16625 16720 16775 17024 17050 17080 17360 17600 18544 18788 18848 18910 19000 19096 19250 19520 19840 20615 20801 20900 21280 21350 21472 21700 21824 21847 22000 22400 23180 23408 23485 23560 23870 24400 24640 24800 24968 25498 25916 26125 26474 26600 26752 26840 27125 27280 27328 27776 28000 28975 29260 29450 30256 30400 30500 30800 31000 31210 32395 32452 32984 33250 33440 33550 34100 34160 34331 34720 35200 35929 36575 37088 37576 37696 37820 38000 38192 38500 39040 40565 41230 41602 41800 42560 42625 42700 42944 43400 43648 43694 44000 45353 46360 46816 46970 47120 47275 47740 48800 49280 49600 49936 50996 51832 52250 52948 53200 53375 53680 54250 54560 54656 56000 57950 58520 58900 59299 59675 60512 60800 61000 61600 62000 62420 63745 64790 64904 65968 66185 66500 66880 67100 68200 68320 68662 69440 71858 73150 73625 74176 75152 75392 75640 76000 76384 77000 78025 81130 82460 83204 83600 83875 85120 85250 85400 85888 86800 87388 88000 89243 90706 92720 93632 93940 94240 94550 95480 96751 97600 99200 99872 101992 103075 103664 104005 104500 105896 106400 106750 107360 108500 109120 109235 112000 115900 117040 117425 117800 118598 119350 121024 122000 123200 124000 124840 127490 129580 129808 131936 132370 133000 133760 134200 136400 136640 137324 138880 143716 144875 145607 146300 147250 148352 150304 151280 152000 152768 154000 156050 161975 162260 164920 166408 167200 167750 170500 170800 171655 173600 174776 176000 178486 179645 181412 182875 185440 187264 187880 188480 189100 190381 190960 193502 195200 199744 202825 203984 206150 207328 208010 209000 211792 212800 213500 214720 217000 218240 218470 226765 231800 234080 234850 235600 236375 237196 238700 240317 242048 244000 246400 248000 249680 251503 254980 259160 259616 263872 264740 266000 268400 272800 273280 274648 287432 289750 291214 292600 294500 296495 298375 300608 302560 304000 305536 308000 312100 318725 323950 324520 329840 330925 332816 334400 335500 341000 341600 343310 347200 349552 356972 359290 362824 365750 370880 375760 376960 378200 380762 381920 387004 390125 395219 399488 405650 407968 412300 414656 415093 416020 418000 423584 425600 427000 429440 434000 436940 446215 453530 463600 468160 469700 471200 472750 474392 477400 480634 483755 488000 496000 499360 503006 509960 515375 518320 519232 520025 527744 529480 532000 536800 545600 546175 549296 574864 579500 582428 585200 587125 589000 592990 596750 601216 605120 616000 624200 637450 647900 649040 652289 659680 661850 665632 668800 671000 677257 682000 683200 686620 694400 699104 713944 718580 725648 728035 731500 741760 751520 756400 761524 763840 774008 780250 790438 809875 811300 815936 824600 829312 830186 832040 836000 847168 854000 858275 868000 873880 892430 898225 907060 927200 936320 939400 942400 945500 948784 951905 954800 961268 967510 976000 998720 1006012 1014125 1019920 1030750 1036640 1038464 1040050 1058960 1064000 1064261 1073600 1091200 1092350 1098592 1133825 1149728 1159000 1164856 1170400 1174250 1178000 1185980 1193500 1201585 1210240 1232000 1248400 1257515 1274900 1295800 1298080 1304578 1319360 1323700 1331264 1332667 1342000 1354514 1364000 1366400 1373240 1398208 1427888 1437160 1451296 1456070 1463000 1482475 1503040 1512800 1523048 1527680 1548016 1560500 1580876 1593625 1619750 1622600 1631872 1649200 1654625 1660372 1664080 1672000 1694336 1708000 1716550 1736000 1747760 1784860 1796450 1814120 1838269 1854400 1878800 1884800 1891000 1897568 1903810 1909600 1922536 1935020 1976095 1997440 2012024 2028250 2039840 2061500 2073280 2075465 2080100 2094191 2117920 2128000 2128522 2147200 2184700 2197184 2231075 2267650 2299456 2318000 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6323504 6374500 6479000 6490400 6522890 6596800 6618500 6641488 6656320 6663335 6772570 6832000 6866200 6991040 7139440 7185800 7234478 7256480 7280350 7353076 7412375 7449827 7515200 7564000 7590272 7615240 7638400 7690144 7740080 7904380 8048096 8113000 8159360 8246000 8301860 8320400 8376764 8471680 8514088 8582750 8738800 8924300 8982250 9070600 9132046 9191345 9272000 9318848 9394000 9424000 9487840 9519050 9548000 9612680 9675100 9880475 9987200 10060120 10199200 10366400 10377325 10400500 10436624 10470955 10589600 10642610 10661336 10736000 10836112 10923500 10985920 11066132 11155375 11338250 11423104 11497280 11648560 11704000 11803622 11859800 12015850 12093875 12184384 12384128 12484000 12575150 12647008 12749000 12867883 12958000 12980800 13045780 13193600 13237000 13282976 13312640 13326670 13545140 13732400 13832665 13982080 14278880 14371600 14468956 14512960 14560700 14659337 14706152 14824750 14899654 15030400 15128000 15230480 15380288 15480160 15808760 16096192 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3216970750 3235353440 3241046144 3245996050 3305014160 3320744000 3350705600 3405635200 3538667825 3588301088 3617239000 3635515576 3652818400 3664834250 3676538000 3724913500 3777159040 3845072000 3924704315 3978962900 4024048000 4044191800 4051307680 4117722560 4131267700 4154874944 4188382000 4257044000 4264534400 4426452800 4456438448 4485376360 4529494816 4544394470 4566023000 4690987840 4721448800 4767889280 4933913996 4973703625 5055239750 5064134600 5093072512 5147153200 5164084625 5193593680 5218312000 5288022656 5330668000 5418056000 5533066000 5570548060 5606720450 5661868520 5787582400 5863734800 5882460800 5901811000 5959861600 6167392495 6279526904 6323504000 6330168250 6366340640 6433941500 6470706880 6491992100 6610028320 6641488000 6701411200 6963185075 7077335650 7176602176 7234478000 7271031152 7305636800 7329668500 7353076000 7449827000 7849408630 7957925800 8088383600 8102615360 8114990125 8235445120 8262535400 8309749888 8376764000 8514088000 8634349493 8852905600 8912876896 8970752720 9058989632 9088788940 9132046000 9381975680 9442897600 9867827992 9947407250 10110479500 10128269200 10294306400 10328169250 10387187360 10436624000 10661336000 10836112000 11066132000 11141096120 11213440900 11323737040 11360986175 11575164800 11727469600 11803622000 11919723200 12334784990 12559053808 12660336500 12732681280 12867883000 12941413760 12983984200 13220056640 13926370150 14016801125 14154671300 14353204352 14468956000 14542062304 14611273600 14659337000 14706152000 14899654000 15698817260 15915851600 16176767200 16205230720 16229980250 16525070800 16753528000 17028176000 17268698986 17693339125 17825753792 17941505440 18117979264 18177577880 18264092000 18885795200 19623521575 19735655984 19894814500 20220959000 20256538400 20588612800 20656338500 20774374720 21322672000 22132264000 22282192240 22426881800 22647474080 22721972350 23454939200 23607244000 23839446400 24669569980 25118107616 25320673000 25465362560 25735766000 25967968400 26440113280 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112134409000 113237370400 113609861750 117274696000 119197232000 123347849900 125590538080 127326812800 129839842000 132200566400 138149591888 139263701500 141546713000 145420623040 154184812375 156988172600 157885247872 159158516000 161767672000 165250708000 172686989860 178257537920 179415054400 181775778800 196235215750 197356559840 202565384000 205886128000 207743747200 215858737325 222821922400 224268818000 226474740800 227219723500 234549392000 246695699800 251181076160 259679684000 276299183776 278527403000 283093426000 290841246080 308369624750 313976345200 318317032000 323535344000 330501416000 345373979720 358830108800 363551557600 392470431500 394713119680 405130768000 431717474650 445643844800 448537636000 452949481600 454439447000 493391399600 502362152320 519359368000 552598367552 557054806000 566186852000 616739249500 627952690400 636634064000 661002832000 690747959440 727103115200 784940863000 789426239360 863434949300 891287689600 897075272000 908878894000 986782799200 1038718736000 1079293686625 1105196735104 1114109612000 1132373704000 1233478499000 1255905380800 1381495918880 1454206230400 1569881726000 1726869898600 1794150544000 1817757788000 1973565598400 2158587373250 2228219224000 2264747408000 2466956998000 2511810761600 2762991837760 3139763452000 3453739797200 3635515576000 3947131196800 4317174746500 4456438448000 4933913996000 5525983675520 6279526904000 6907479594400 7271031152000 8634349493000 9867827992000 12559053808000 13814959188800 17268698986000 19735655984000 27629918377600 34537397972000 69074795944000 138149591888000
- Sum of all divisors σ(n): 473086520524800
- Sum of proper divisors (its aliquot sum) s(n): 334936928636800
- 138149591888000 is an abundant number, because the sum of its proper divisors (334936928636800) is greater than itself. Its abundance is 196787336748800
Bases of 138149591888000
- Binary: 111110110100101011101010101100110110000100000002
- Hexadecimal: 0x7DA57559B080
- Base-36: 1CYX1O3CZK
Squares and roots of 138149591888000
- 138149591888000 squared (1381495918880002) is 19085309738820955404544000000
- 138149591888000 cubed (1381495918880003) is 2636627751474186859440001540739072000000000
-
The
square root of 138149591888000 is 11753705.4535154995 -
The
cube root of 138149591888000 is 51695.1582060503
Scales and comparisons
How big is 138149591888000?- 138,149,591,888,000 seconds is equal to 4,392,729 years, 36 weeks, 1 day, 19 hours, 33 minutes, 20 seconds.
-
To count from 1 to 138,149,591,888,000 would take you about ten million, nine hundred eighty-one thousand, eight hundred twenty-four 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 138149591888000 cubic inches would be around 4307.9 feet tall.
Recreational maths with 138149591888000
- 138149591888000 backwards is 000888195941831
- The number of decimal digits it has is: 15
- The sum of 138149591888000's digits is 65
- More coming soon!
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Cite this page
MLA style:
"Number 138149591888000 - Facts about the integer". Numbermatics.com. 2024. Web. 29 May 2024.
APA style:
Numbermatics. (2024). Number 138149591888000 - Facts about the integer. Retrieved 29 May 2024, from https://numbermatics.com/n/138149591888000/
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Numbermatics. 2024. "Number 138149591888000 - Facts about the integer". https://numbermatics.com/n/138149591888000/
The information we have on file for 138149591888000 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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