138146481661720
138,146,481,661,720 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138146481661720 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1728 divisors.
138146481661720 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 138146481661720:
23 × 5 × 72 × 172 × 193 × 312 × 37
(2 × 2 × 2 × 5 × 7 × 7 × 17 × 17 × 19 × 19 × 19 × 31 × 31 × 37)See below for interesting mathematical facts about the number 138146481661720 from the Numbermatics database.
Names of 138146481661720
- Cardinal: 138146481661720 can be written as One hundred thirty-eight trillion, one hundred forty-six billion, four hundred eighty-one million, six hundred sixty-one thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 1.3814648166172 × 1014
Factors of 138146481661720
Divisors of 138146481661720
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 4 5 7 8 10 14 17 19 20 28 31 34 35 37 38 40 49 56 62 68 70 74 76 85 95 98 119 124 133 136 140 148 152 155 170 185 190 196 217 238 245 248 259 266 280 289 296 310 323 340 361 370 380 392 434 476 490 518 527 532 578 589 595 620 629 646 665 680 703 722 740 760 833 868 931 952 961 980 1036 1054 1064 1085 1147 1156 1178 1190 1240 1258 1292 1295 1330 1406 1444 1445 1480 1519 1615 1666 1736 1805 1813 1862 1922 1960 2023 2072 2108 2170 2261 2294 2312 2356 2380 2516 2527 2584 2590 2635 2660 2812 2888 2890 2945 3038 3145 3230 3332 3515 3610 3626 3689 3724 3844 4046 4123 4165 4216 4340 4403 4522 4588 4655 4712 4760 4805 4921 5032 5054 5180 5270 5320 5491 5624 5735 5780 5890 6076 6137 6290 6460 6664 6727 6859 7030 7220 7252 7378 7448 7595 7688 8029 8092 8246 8330 8680 8806 8959 9044 9065 9176 9310 9610 9842 10013 10108 10115 10360 10540 10693 10982 11191 11305 11470 11560 11780 11951 12152 12274 12580 12635 12920 13357 13454 13718 14060 14161 14440 14504 14756 15190 15827 16058 16184 16337 16492 16660 17612 17689 17918 18088 18130 18259 18445 18620 19220 19499 19684 20026 20216 20230 20615 21080 21386 21793 21964 22015 22382 22610 22940 23560 23902 24548 24605 25160 25270 25823 26714 26908 27436 27455 28120 28322 28861 29512 30380 30685 30821 31654 32116 32674 32984 33320 33635 34295 34447 35224 35378 35557 35836 36260 36518 36890 37240 38437 38440 38998 39368 40052 40145 40460 41230 42772 42959 43586 43928 44030 44764 44795 45220 45880 47089 47804 48013 49096 49210 50065 50540 51646 53428 53465 53816 54872 54910 55955 56203 56644 57722 59755 60760 61370 61642 62713 63308 64232 65348 66785 67270 68590 68894 70091 70756 70805 71114 71672 72520 73036 73780 74851 76874 77996 78337 79135 80104 80290 80920 81685 82460 83657 85544 85918 87172 88060 88445 89528 89590 90440 91295 93499 94178 95608 96026 97495 98420 100130 101080 103292 104329 106856 106930 108965 109820 111910 112406 113288 114359 115444 116603 119510 122740 123284 125426 126616 127813 129115 130696 133570 134540 136493 137180 137788 140182 141512 141610 142228 144305 146072 147560 149702 152551 153748 154105 155992 156674 158270 160580 163370 164920 167314 170221 171836 172235 174344 176120 176890 177785 179180 182590 186998 188356 190247 192052 192185 194990 196840 200260 203167 206584 208658 212629 213860 214795 217930 219640 223820 224812 227069 228718 230888 233206 235445 239020 240065 245480 246568 248899 250852 253783 255626 258230 267140 269059 269080 272986 274360 275576 277729 280364 281015 283220 284456 288610 299404 300713 305102 307496 308210 310403 313348 313565 316540 321160 326740 331483 334628 336091 340442 343672 344470 346921 350455 353780 355570 358360 365180 370481 373996 374255 376712 380494 384104 384370 389980 391685 400520 406334 414067 417316 418285 425258 427720 429590 435860 438991 447640 449624 454138 457436 466412 467495 470890 478040 480130 490637 497798 501704 507566 511252 516460 521645 523957 534280 538118 545972 548359 555458 560728 562030 566440 571795 577220 583015 585599 598808 601426 604469 610204 616420 620806 626696 627130 633080 639065 653480 654493 662966 669256 672182 675583 680884 682465 688940 693842 700910 707560 711140 730303 730360 740962 747992 748510 760988 762755 768740 779960 783370 800513 812668 816221 828134 834632 836570 850516 851105 859180 871720 877982 894691 908276 914872 932824 934990 941780 951235 955451 960260 981274 995596 1015132 1015835 1022504 1032920 1043290 1047914 1063145 1067857 1076236 1091944 1096718 1110916 1124060 1135345 1143590 1154440 1166030 1171198 1191547 1202852 1208938 1220408 1232840 1241612 1244495 1254260 1268915 1278130 1308986 1325932 1331729 1344364 1345295 1351166 1361768 1364930 1377880 1387684 1388645 1401820 1422169 1422280 1460606 1481924 1488403 1497020 1503565 1521976 1525510 1537480 1552015 1566740 1589483 1601026 1625336 1632442 1656268 1657415 1673140 1680455 1701032 1702210 1718360 1734605 1742293 1755964 1776481 1789382 1816552 1852405 1869980 1883560 1902470 1910902 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733432870 738759140 756593908 770992754 777042392 780973948 784388381 792378755 802081352 803943770 811571320 825671980 837657541 845604956 860296934 872853236 881744780 885599785 896443864 898525390 905575720 922809860 936205487 945742385 957322904 971302990 975541852 976217435 985479460 1002601690 1007045354 1012114040 1026806018 1034262796 1057006195 1069949128 1080848440 1091066545 1101418220 1120554830 1125521278 1155940772 1184759240 1196653630 1208007080 1219427315 1228995620 1234442692 1257935546 1267806008 1291933804 1292828495 1324142680 1337436410 1366704409 1379671244 1403642366 1416959656 1438636220 1444925965 1466865740 1477518280 1513187816 1527493163 1541985508 1543053365 1561947896 1568776762 1584757510 1607887540 1614917255 1651343960 1675315082 1691209912 1707198241 1720593868 1724589055 1745706472 1763489560 1771199570 1797050780 1845619720 1872410974 1891484770 1904943211 1927481885 1942605980 1951083704 1952434870 1970958920 2005203380 2014090708 2053612036 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7187642126 7419252506 7489643896 7565939080 7619772844 7637465815 7709927540 7809739480 7843883810 8292105742 8376575410 8456049560 8535991205 8602969340 8728532360 9094567588 9362054870 9524716055 9566930863 9755418520 9825496562 10070453540 10268060180 10342627960 10692452141 10933635272 10981437334 11255212780 11368209485 11559407720 11727205574 11950387687 12044157076 12219945304 12344426920 12579355460 12919338040 13106876818 13334602477 13657585928 13667044090 13796712440 14036423660 14375284252 14838505012 15055196345 15239545688 15274931630 15419855080 15687767620 15915493279 16584211484 16753150820 17071982410 17205938680 17969105315 18189135176 18548131265 18724109740 19049432110 19133861726 19650993124 20140907080 20536120360 20730264355 21384904282 21962874668 22510425560 22736418970 23454411148 23900775374 24088314152 24563741405 25158710920 25967383771 26213753636 26669204954 27334088180 27453593335 28072847320 28750568504 29022370097 29318013935 29677010024 30110392690 30549863260 31375535240 31830986558 32767192045 33168422968 33506301640 34143964820 35938210630 37096262530 37448219480 38098864220 38267723452 39301986248 41460528710 42769808564 43925749336 45472837940 46908822296 47801550748 47834654315 49127482810 51934767542 52427507272 53338409908 53462260705 54668176360 54907186670 58044740194 58636027870 59751938435 60220785380 61099726520 63661973116 65534384090 66673012385 68287929640 70482898807 71876421260 74192525060 76197728440 76535446904 79577466395 82921057420 85539617128 90945675880 93342217339 95603101496 95669308630 98254965620 103869535084 106676819816 106924521410 109814373340 111408452953 116089480388 117272055740 119503876870 120441570760 127323946232 129836918855 131068768180 133346024770 140965797614 143752842520 145111850485 148385050120 159154932790 165842114840 181771686397 186684434678 191338617260 196509931240 203156590679 207739070168 213849042820 219628746680 222816905906 232178960776 234544111480 239007753740 259673837710 262137536360 266692049540 281931595228 290223700970 318309865580 352414494035 363543372794 373368869356 382677234520 406313181358 427698085640 445633811812 466711086695 478015507480 493380291649 519347675420 533384099080 557042264765 563863190456 580447401940 636619731160 704828988070 727086745588 746737738712 812626362716 891267623624 908858431985 933422173390 986760583298 1015782953395 1038695350840 1114084529530 1160894803880 1409657976140 1454173491176 1625252725432 1817716863970 1866844346780 1973521166596 2031565906790 2228169059060 2466901458245 2819315952280 3453662041543 3635433727940 3733688693560 3947042333192 4063131813580 4456338118120 4933802916490 6907324083086 7270867455880 8126263627160 9867605832980 13814648166172 17268310207715 19735211665960 27629296332344 34536620415430 69073240830860 138146481661720
- Sum of all divisors σ(n): 430256214525600
- Sum of proper divisors (its aliquot sum) s(n): 292109732863880
- 138146481661720 is an abundant number, because the sum of its proper divisors (292109732863880) is greater than itself. Its abundance is 153963251202160
Bases of 138146481661720
- Binary: 111110110100100101110111111011101100111000110002
- Hexadecimal: 0x7DA4BBF76718
- Base-36: 1CYVM8CF14
Squares and roots of 138146481661720
- 138146481661720 squared (1381464816617202) is 19084450395511940252513358400
- 138146481661720 cubed (1381464816617203) is 2636449676587595255085132972344929920448000
-
The
square root of 138146481661720 is 11753573.1444408005 -
The
cube root of 138146481661720 is 51694.7702573925
Scales and comparisons
How big is 138146481661720?- 138,146,481,661,720 seconds is equal to 4,392,630 years, 41 weeks, 4 days, 19 hours, 48 minutes, 40 seconds.
-
To count from 1 to 138,146,481,661,720 would take you about ten million, nine hundred eighty-one thousand, five hundred seventy-seven 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 138146481661720 cubic inches would be around 4307.9 feet tall.
Recreational maths with 138146481661720
- 138146481661720 backwards is 027166184641831
- The number of decimal digits it has is: 15
- The sum of 138146481661720's digits is 58
- More coming soon!
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"Number 138146481661720 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.
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Numbermatics. (2024). Number 138146481661720 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/138146481661720/
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The information we have on file for 138146481661720 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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