138003085440
138,003,085,440 is an even composite number composed of six prime numbers multiplied together.
138003085440 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 138003085440:
27 × 32 × 5 × 11 × 373 × 43
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 11 × 37 × 37 × 37 × 43)See below for interesting mathematical facts about the number 138003085440 from the Numbermatics database.
Names of 138003085440
- Cardinal: 138003085440 can be written as One hundred thirty-eight billion, three million, eighty-five thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.3800308544 × 1011
Factors of 138003085440
Divisors of 138003085440
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 37 40 43 44 45 48 55 60 64 66 72 74 80 86 88 90 96 99 110 111 120 128 129 132 144 148 160 165 172 176 180 185 192 198 215 220 222 240 258 264 288 296 320 330 333 344 352 360 370 384 387 396 407 430 440 444 473 480 495 516 528 555 576 592 640 645 660 666 688 704 720 740 774 792 814 860 880 888 946 960 990 1032 1056 1110 1152 1184 1221 1290 1320 1332 1369 1376 1408 1419 1440 1480 1548 1584 1591 1628 1665 1720 1760 1776 1892 1920 1935 1980 2035 2064 2112 2220 2365 2368 2442 2580 2640 2664 2738 2752 2838 2880 2960 3096 3168 3182 3256 3330 3440 3520 3552 3663 3784 3870 3960 4070 4107 4128 4224 4257 4440 4730 4736 4773 4884 5160 5280 5328 5476 5504 5676 5760 5920 6105 6192 6336 6364 6512 6660 6845 6880 7040 7095 7104 7326 7568 7740 7920 7955 8140 8214 8256 8514 8880 9460 9546 9768 10320 10560 10656 10952 11352 11840 12210 12321 12384 12672 12728 13024 13320 13690 13760 14190 14208 14319 14652 15059 15136 15480 15840 15910 16280 16428 16512 17028 17501 17760 18315 18920 19092 19536 20535 20640 21120 21285 21312 21904 22704 23680 23865 24420 24642 24768 25456 26048 26640 27380 27520 28380 28638 29304 30118 30272 30960 31680 31820 32560 32856 34056 35002 35520 36630 37840 38184 39072 41070 41280 42570 42624 43808 45177 45408 47730 48840 49284 49536 50653 50912 52096 52503 53280 54760 56760 57276 58608 58867 60236 60544 61605 61920 63360 63640 65120 65712 68112 70004 71040 71595 73260 75295 75680 76368 78144 82140 82560 85140 87505 87616 90354 90816 95460 97680 98568 101306 101824 105006 106560 109520 113520 114552 117216 117734 120472 123210 123840 127280 130240 131424 135531 136224 140008 143190 146520 150590 151360 151959 152736 156288 157509 164280 170280 175010 175232 176601 180708 181632 190920 195360 197136 202612 203648 210012 213120 219040 225885 227040 229104 234432 235468 240944 246420 247680 253265 254560 260480 262515 262848 271062 272448 280016 286380 293040 294335 301180 302720 303918 305472 315018 328560 340560 350020 353202 361416 381840 390720 394272 405224 420024 438080 451770 454080 455877 458208 468864 470936 481888 492840 506530 509120 525030 525696 529803 542124 544896 557183 560032 572760 586080 588670 602360 607836 610944 630036 647537 657120 677655 681120 700040 706404 722832 759795 763680 781440 787545 788544 810448 840048 876160 883005 903540 908160 911754 916416 941872 963776 985680 1013060 1018240 1050060 1059606 1084248 1114366 1120064 1145520 1172160 1177340 1204720 1215672 1260072 1295074 1314240 1355310 1362240 1400080 1412808 1445664 1519590 1527360 1575090 1577088 1620896 1671549 1680096 1766010 1807080 1823508 1832832 1883744 1927552 1942611 1971360 2026120 2100120 2119212 2168496 2178079 2228732 2240128 2279385 2291040 2344320 2354680 2409440 2431344 2520144 2590148 2628480 2649015 2710620 2724480 2785915 2800160 2825616 2891328 3039180 3054720 3150180 3237685 3241792 3343098 3360192 3532020 3614160 3647016 3767488 3885222 3942720 4052240 4200240 4238424 4336992 4356158 4457464 4558770 4582080 4709360 4818880 4862688 5014647 5040288 5180296 5298030 5421240 5571830 5600320 5651232 5782656 5827833 6078360 6300360 6475370 6483584 6534237 6686196 6720384 7064040 7228320 7294032 7534976 7770444 7885440 8104480 8357745 8400480 8476848 8673984 8712316 8914928 9117540 9164160 9418720 9637760 9713055 9725376 10029294 10080576 10360592 10596060 10842480 10890395 11143660 11200640 11302464 11655666 12156720 12600720 12950740 13068474 13372392 14128080 14456640 14588064 15540888 16208960 16715490 16800960 16953696 17347968 17424632 17829856 18235080 18837440 19426110 19450752 19602711 20058588 20161152 20721184 21192120 21684960 21780790 22287320 22604928 23311332 23958869 24313440 25073235 25201440 25901480 26136948 26744784 28256160 28913280 29139165 29176128 31081776 32417920 32671185 33430980 33601920 33907392 34849264 35659712 36470160 37674880 38852220 39205422 40117176 41442368 42384240 43369920 43561580 44574640 46622664 47917738 48626880 50146470 50402880 51802960 52273896 53489568 56512320 58278330 58352256 62163552 65342370 66861960 67814784 69698528 71319424 71876607 72940320 77704440 78410844 80234352 82884736 84768480 86739840 87123160 89149280 93245328 95835476 97253760 98013555 100292940 100805760 103605920 104547792 106979136 113024640 116556660 119794345 124327104 130684740 133723920 139397056 143753214 145880640 155408880 156821688 160468704 169536960 174246320 178298560 186490656 191670952 196027110 200585880 207211840 209095584 213958272 215629821 233113320 239588690 248654208 261369480 267447840 278794112 287506428 291761280 310817760 313643376 320937408 339073920 348492640 356597120 359383035 372981312 383341904 392054220 401171760 414423680 418191168 431259642 466226640 479177380 522738960 534895680 575012856 621635520 627286752 641874816 696985280 718766070 745962624 766683808 784108440 802343520 836382336 862519284 932453280 958354760 1045477920 1069791360 1078149105 1150025712 1243271040 1254573504 1393970560 1437532140 1533367616 1568216880 1604687040 1725038568 1864906560 1916709520 2090955840 2156298210 2300051424 2509147008 2875064280 3066735232 3136433760 3209374080 3450077136 3729813120 3833419040 4181911680 4312596420 4600102848 5750128560 6272867520 6900154272 7666838080 8625192840 9200205696 11500257120 12545735040 13800308544 15333676160 17250385680 23000514240 27600617088 34500771360 46001028480 69001542720 138003085440
- Sum of all divisors σ(n): 546729955200
- Sum of proper divisors (its aliquot sum) s(n): 408726869760
- 138003085440 is an abundant number, because the sum of its proper divisors (408726869760) is greater than itself. Its abundance is 270723784320
Bases of 138003085440
- Binary: 100000001000011001111111111000100000002
- Hexadecimal: 0x20219FF880
- Base-36: 1REBH280
Squares and roots of 138003085440
- 138003085440 squared (1380030854402) is 19044851590959939993600
- 138003085440 cubed (1380030854403) is 2628248281299364530554053853184000
-
The
square root of 138003085440 is 371487.6652595615 -
The
cube root of 138003085440 is 5167.6877652933
Scales and comparisons
How big is 138003085440?- 138,003,085,440 seconds is equal to 4,388 years, 3 weeks, 4 days, 22 hours, 24 minutes.
-
To count from 1 to 138,003,085,440 would take you about eight thousand, seven hundred seventy-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 138003085440 cubic inches would be around 430.6 feet tall.
Recreational maths with 138003085440
- 138003085440 backwards is 044580300831
- 138003085440 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138003085440's digits is 36
- 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 138003085440 - Facts about the integer". Numbermatics.com. 2024. Web. 15 May 2024.
APA style:
Numbermatics. (2024). Number 138003085440 - Facts about the integer. Retrieved 15 May 2024, from https://numbermatics.com/n/138003085440/
Chicago style:
Numbermatics. 2024. "Number 138003085440 - Facts about the integer". https://numbermatics.com/n/138003085440/
The information we have on file for 138003085440 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 138003085440, math, Factors of 138003085440, curriculum, school, college, exams, university, Prime factorization of 138003085440, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight billion, three million, eighty-five thousand, four hundred forty.