1138131271680
1,138,131,271,680 is an even composite number composed of seven prime numbers multiplied together.
What does the number 1138131271680 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1088 divisors.
1138131271680 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and eighty-eight divisors.
Prime factorization of 1138131271680:
216 × 3 × 5 × 13 × 29 × 37 × 83
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 29 × 37 × 83)See below for interesting mathematical facts about the number 1138131271680 from the Numbermatics database.
Names of 1138131271680
- Cardinal: 1138131271680 can be written as One trillion, one hundred thirty-eight billion, one hundred thirty-one million, two hundred seventy-one thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.13813127168 × 1012
Factors of 1138131271680
Divisors of 1138131271680
- Number of divisors d(n): 1088
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 29 30 32 37 39 40 48 52 58 60 64 65 74 78 80 83 87 96 104 111 116 120 128 130 145 148 156 160 166 174 185 192 195 208 222 232 240 249 256 260 290 296 312 320 332 348 370 377 384 390 415 416 435 444 464 480 481 498 512 520 555 580 592 624 640 664 696 740 754 768 780 830 832 870 888 928 960 962 996 1024 1040 1073 1079 1110 1131 1160 1184 1245 1248 1280 1328 1392 1443 1480 1508 1536 1560 1660 1664 1740 1776 1856 1885 1920 1924 1992 2048 2080 2146 2158 2220 2262 2320 2368 2405 2407 2490 2496 2560 2656 2784 2886 2960 3016 3071 3072 3120 3219 3237 3320 3328 3480 3552 3712 3770 3840 3848 3984 4096 4160 4292 4316 4440 4524 4640 4736 4810 4814 4980 4992 5120 5312 5365 5395 5568 5655 5772 5920 6032 6142 6144 6240 6438 6474 6640 6656 6960 7104 7215 7221 7424 7540 7680 7696 7968 8192 8320 8584 8632 8880 9048 9213 9280 9472 9620 9628 9960 9984 10240 10624 10730 10790 11136 11310 11544 11840 12035 12064 12284 12288 12480 12876 12948 13280 13312 13920 13949 14208 14430 14442 14848 15080 15355 15360 15392 15936 16095 16185 16384 16640 17168 17264 17760 18096 18426 18560 18944 19240 19256 19920 19968 20480 21248 21460 21580 22272 22620 23088 23680 24070 24128 24568 24576 24960 25752 25896 26560 26624 27840 27898 28416 28860 28884 29696 30160 30710 30720 30784 31291 31872 32190 32370 32768 33280 34336 34528 35520 36105 36192 36852 37120 37888 38480 38512 39840 39923 39936 40960 41847 42496 42920 43160 44544 45240 46065 46176 47360 48140 48256 49136 49152 49920 51504 51792 53120 53248 55680 55796 56832 57720 57768 59392 60320 61420 61440 61568 62582 63744 64380 64740 65536 66560 68672 69056 69745 71040 72210 72384 73704 74240 75776 76960 77024 79680 79846 79872 81920 83694 84992 85840 86320 89059 89088 90480 92130 92352 93873 94720 96280 96512 98272 98304 99840 103008 103584 106240 106496 111360 111592 113664 115440 115536 118784 119769 120640 122840 122880 123136 125164 127488 128760 129480 133120 137344 138112 139490 142080 144420 144768 147408 148480 151552 153920 154048 156455 159360 159692 159744 163840 167388 169984 171680 172640 178118 178176 180960 184260 184704 187746 189440 192560 193024 196544 196608 199615 199680 206016 207168 209235 212480 212992 222720 223184 227328 230880 231072 237568 239538 241280 245680 245760 246272 250328 254976 257520 258960 266240 267177 274688 276224 278980 284160 288840 289536 294816 296960 303104 307840 308096 312910 318720 319384 319488 327680 334776 339968 343360 345280 356236 356352 361920 368520 369408 375492 378880 385120 386048 393088 399230 399360 412032 414336 418470 424960 425984 445295 445440 446368 454656 461760 462144 469365 475136 479076 482560 491360 491520 492544 500656 509952 515040 517920 532480 534354 549376 552448 557960 568320 577680 579072 589632 593920 598845 606208 615680 616192 625820 637440 638768 638976 669552 679936 686720 690560 712472 712704 723840 737040 738816 750984 757760 770240 772096 786176 798460 798720 824064 828672 836940 849920 851968 890590 890880 892736 909312 923520 924288 938730 950272 958152 965120 982720 983040 985088 1001312 1019904 1030080 1035840 1064960 1068708 1098752 1104896 1115920 1136640 1155360 1157767 1158144 1179264 1187840 1197690 1212416 1231360 1232384 1251640 1274880 1277536 1277952 1335885 1339104 1359872 1373440 1381120 1424944 1425408 1447680 1474080 1477632 1501968 1515520 1540480 1544192 1572352 1596920 1597440 1648128 1657344 1673880 1699840 1781180 1781760 1785472 1818624 1847040 1848576 1877460 1900544 1916304 1930240 1965440 1970176 2002624 2039808 2060160 2071680 2129920 2137416 2197504 2209792 2231840 2273280 2310720 2315534 2316288 2358528 2375680 2395380 2424832 2462720 2464768 2503280 2549760 2555072 2555904 2671770 2678208 2719744 2746880 2762240 2849888 2850816 2895360 2948160 2955264 3003936 3031040 3080960 3088384 3144704 3193840 3194880 3296256 3314688 3347760 3399680 3473301 3562360 3563520 3570944 3637248 3694080 3697152 3754920 3832608 3860480 3930880 3940352 4005248 4079616 4120320 4143360 4259840 4274832 4395008 4419584 4463680 4546560 4621440 4631068 4632576 4717056 4751360 4790760 4925440 4929536 5006560 5099520 5110144 5343540 5356416 5439488 5493760 5524480 5699776 5701632 5788835 5790720 5896320 5910528 6007872 6062080 6161920 6176768 6289408 6387680 6389760 6592512 6629376 6695520 6799360 6946602 7124720 7127040 7141888 7274496 7388160 7394304 7509840 7665216 7720960 7861760 7880704 8010496 8159232 8240640 8286720 8549664 8790016 8839168 8927360 9093120 9242880 9262136 9265152 9434112 9502720 9581520 9850880 9859072 10013120 10199040 10220288 10687080 10712832 10987520 11048960 11399552 11577670 11581440 11792640 11821056 12015744 12124160 12323840 12353536 12578816 12775360 12779520 13185024 13258752 13391040 13598720 13893204 14249440 14254080 14283776 14776320 14788608 15019680 15330432 15441920 15723520 15761408 16020992 16318464 16481280 16573440 17099328 17366505 17580032 17678336 17854720 18186240 18485760 18524272 18530304 18868224 19163040 19701760 19718144 20026240 20398080 20440576 21374160 21425664 21975040 22097920 22799104 23155340 23162880 23585280 23642112 24031488 24647680 24707072 25157632 25550720 26370048 26517504 26782080 27197440 27786408 28498880 28508160 28567552 29552640 29577216 30039360 30660864 30883840 31447040 31522816 32041984 32962560 33146880 34198656 34733010 35160064 35356672 35709440 36372480 36971520 37048544 37060608 37736448 38326080 39403520 39436288 40052480 40796160 40881152 42748320 42851328 43950080 44195840 45598208 46310680 46325760 47170560 47284224 48062976 49295360 50315264 51101440 52740096 53035008 53564160 55572816 56997760 57135104 59105280 59154432 60078720 61321728 61767680 62894080 64083968 65925120 66293760 68397312 69466020 70320128 70713344 71418880 73943040 74097088 74121216 75472896 76652160 78807040 78872576 80104960 81592320 81762304 85496640 85702656 87900160 88391680 91196416 92621360 92651520 94341120 94568448 96125952 98590720 100630528 102202880 105480192 106070016 107128320 111145632 113995520 114270208 118210560 118308864 120157440 122643456 123535360 125788160 128167936 131850240 132587520 136794624 138932040 142837760 147886080 148194176 150945792 153304320 157614080 157745152 160209920 163524608 170993280 171405312 175800320 176783360 182392832 185242720 185303040 188682240 192251904 197181440 201261056 204405760 210960384 212140032 214256640 222291264 227991040 228540416 236421120 236617728 240314880 245286912 251576320 256335872 263700480 265175040 273589248 277864080 285675520 295772160 296388352 301891584 306608640 320419840 327049216 341986560 342810624 351600640 353566720 364785664 370485440 370606080 377364480 384503808 394362880 408811520 428513280 444582528 455982080 457080832 472842240 473235456 480629760 490573824 503152640 512671744 527400960 530350080 547178496 555728160 571351040 591544320 592776704 603783168 613217280 640839680 654098432 683973120 685621248 729571328 740970880 754728960 769007616 788725760 817623040 857026560 889165056 911964160 914161664 961259520 981147648 1006305280 1025343488 1054801920 1060700160 1094356992 1111456320 1142702080 1183088640 1185553408 1226434560 1281679360 1308196864 1367946240 1371242496 1459142656 1481941760 1509457920 1538015232 1635246080 1714053120 1778330112 1823928320 1922519040 1962295296 2050686976 2188713984 2222912640 2285404160 2366177280 2371106816 2452869120 2563358720 2616393728 2735892480 2742484992 2918285312 2963883520 3018915840 3076030464 3270492160 3428106240 3556660224 3647856640 3845038080 3924590592 4377427968 4445825280 4570808320 4742213632 4905738240 5126717440 5471784960 5836570624 5927767040 6152060928 6540984320 6856212480 7113320448 7295713280 7690076160 7849181184 8754855936 8891650560 9484427264 9811476480 10253434880 10943569920 11855534080 13081968640 13712424960 14226640896 14591426560 15380152320 17509711872 17783301120 18968854528 19622952960 21887139840 23711068160 28453281792 29182853120 30760304640 35566602240 37937709056 39245905920 43774279680 47422136320 56906563584 71133204480 75875418112 87548559360 94844272640 113813127168 142266408960 189688545280 227626254336 284532817920 379377090560 569065635840 1138131271680
- Sum of all divisors σ(n): 4217256610560
- Sum of proper divisors (its aliquot sum) s(n): 3079125338880
- 1138131271680 is an abundant number, because the sum of its proper divisors (3079125338880) is greater than itself. Its abundance is 1940994067200
Bases of 1138131271680
- Binary: 100001000111111011110100100000000000000002
- Hexadecimal: 0x108FDE90000
- Base-36: EIULZ1MO
Squares and roots of 1138131271680
- 1138131271680 squared (11381312716802) is 1295342791575933970022400
- 1138131271680 cubed (11381312716803) is 1474270138637838920585305110085632000
-
The
square root of 1138131271680 is 1066832.3540650615 -
The
cube root of 1138131271680 is 10440.7280888555
Scales and comparisons
How big is 1138131271680?- 1,138,131,271,680 seconds is equal to 36,189 years, 2 weeks, 5 days, 15 hours, 28 minutes.
-
To count from 1 to 1,138,131,271,680 would take you about ninety thousand, four hundred seventy-two 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 1138131271680 cubic inches would be around 870.1 feet tall.
Recreational maths with 1138131271680
- 1138131271680 backwards is 0861721318311
- The number of decimal digits it has is: 13
- The sum of 1138131271680's digits is 42
- More coming soon!
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The information we have on file for 1138131271680 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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