138220883395920
138,220,883,395,920 is an even composite number composed of seven prime numbers multiplied together.
138220883395920 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 138220883395920:
24 × 32 × 5 × 133 × 17 × 29 × 4212
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 13 × 13 × 17 × 29 × 421 × 421)See below for interesting mathematical facts about the number 138220883395920 from the Numbermatics database.
Names of 138220883395920
- Cardinal: 138220883395920 can be written as One hundred thirty-eight trillion, two hundred twenty billion, eight hundred eighty-three million, three hundred ninety-five thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.3822088339592 × 1014
Factors of 138220883395920
Divisors of 138220883395920
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 20 24 26 29 30 34 36 39 40 45 48 51 52 58 60 65 68 72 78 80 85 87 90 102 104 116 117 120 130 136 144 145 153 156 169 170 174 180 195 204 208 221 232 234 240 255 260 261 272 290 306 312 338 340 348 360 377 390 408 421 435 442 464 468 493 507 510 520 522 580 585 612 624 663 676 680 696 720 754 765 780 816 842 845 870 884 936 986 1014 1020 1040 1044 1105 1131 1160 1170 1224 1263 1305 1326 1352 1360 1392 1479 1508 1521 1530 1560 1684 1690 1740 1768 1872 1885 1972 1989 2028 2040 2088 2105 2197 2210 2262 2320 2340 2448 2465 2526 2535 2610 2652 2704 2873 2958 3016 3042 3060 3120 3315 3368 3380 3393 3480 3536 3770 3789 3944 3978 4056 4080 4176 4210 4394 4420 4437 4524 4680 4901 4930 5052 5070 5220 5304 5473 5655 5746 5916 6032 6084 6120 6315 6409 6591 6630 6736 6760 6786 6960 7157 7395 7540 7578 7605 7888 7956 8112 8420 8619 8788 8840 8874 9048 9360 9802 9860 9945 10104 10140 10440 10608 10946 10985 11310 11492 11832 12168 12209 12240 12630 12818 13182 13260 13520 13572 14314 14365 14703 14790 15080 15156 15210 15912 16419 16840 16965 17238 17576 17680 17748 18096 18945 19227 19604 19720 19773 19890 20208 20280 20880 21471 21892 21970 22185 22620 22984 23664 24336 24418 24505 25260 25636 25857 26364 26520 27144 27365 28628 28730 29406 29580 30160 30312 30420 31824 32045 32838 32955 33680 33930 34476 35152 35496 35785 36627 37349 37890 38454 39208 39440 39546 39780 40560 42942 43095 43784 43940 44109 44370 45240 45968 48836 49010 49257 50520 51272 51714 52728 53040 54288 54730 57256 57460 57681 58812 59160 60624 60840 61045 63713 64090 64413 65676 65910 67860 68952 70992 71149 71570 73254 73515 74698 75780 76908 78416 79092 79560 82095 83317 85884 86190 87568 87880 88218 88740 90480 93041 96135 97672 98020 98514 98865 101040 102544 103428 105456 107355 109460 109881 112047 114512 114920 115362 117624 118320 121680 122090 127426 128180 128826 129285 131352 131820 135720 137904 142298 143140 146508 147030 149396 151560 153816 158184 158717 159120 164190 166634 171768 172380 175760 176436 177241 177480 183135 186082 186745 191139 192270 195344 196040 197028 197730 206856 207553 213447 214710 218920 219762 220545 224094 229840 230724 235248 244180 246285 249951 254852 256360 257652 258570 262704 263640 271440 279123 284596 286280 288405 293016 294060 298792 303120 307632 316368 317434 318565 322065 328380 333268 336141 343536 344760 352872 354482 354960 355745 366270 372164 373490 382278 384540 392080 394056 395460 413712 415106 416585 426894 429420 437840 439524 441090 448188 461448 465205 476151 488360 492570 499902 509704 512720 515304 517140 527280 531723 549405 558246 560235 569192 572560 573417 576810 586032 588120 597584 622659 634868 637130 640341 644130 656760 666536 672282 689520 705744 708964 711490 732540 744328 746980 749853 764556 769080 788112 790920 793585 830212 833170 837369 853788 858840 879048 882180 886205 896376 922896 924937 930410 952302 955695 976720 985140 999804 1019408 1030608 1034280 1037765 1063446 1067235 1083121 1098810 1116492 1120470 1138384 1146834 1153620 1176240 1209533 1245318 1249755 1269736 1274260 1280682 1288260 1313520 1333072 1344564 1395615 1417928 1422980 1428453 1465080 1488656 1493960 1499706 1529112 1538160 1581840 1587170 1595169 1660424 1666340 1674738 1680705 1707576 1717680 1758096 1764360 1772410 1792752 1849874 1860820 1867977 1904604 1911390 1970280 1999608 2063321 2068560 2075530 2126892 2134470 2166242 2197620 2232984 2240940 2293668 2304133 2307240 2380755 2419066 2490636 2499510 2539472 2548520 2561364 2576520 2658615 2689128 2698189 2774811 2791230 2835856 2845960 2856906 2867085 2930160 2987920 2999412 3013097 3058224 3113295 3174340 3190338 3201705 3249363 3320848 3332680 3349476 3361410 3415152 3528720 3544820 3628599 3699748 3721640 3735954 3749265 3809208 3822780 3940560 3999216 4126642 4151060 4186845 4253784 4268940 4332484 4395240 4465968 4481880 4587336 4608266 4614480 4624685 4761510 4838132 4981272 4999020 5097040 5122728 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334099285 349519252 350764570 352532349 359444748 361571640 370079208 371397780 377374296 388539216 389398477 389923560 391702610 400919142 402347595 411199120 414743940 420917484 429170768 433885968 435431880 436899065 449305935 455993941 462599010 470043132 471717870 479259664 482817114 485674020 495197040 509213393 524278878 526146855 534558856 536463460 539167122 542357460 552991920 561223312 566061444 587553915 599074580 601378713 616798680 626724176 628957160 631376226 643756152 647565360 665954640 668198570 699038504 701529140 705064698 707576805 718889496 723143280 740158416 742795560 754748592 778796954 779847120 783405220 786418317 801838284 804695190 829487880 841834968 868658141 870863760 873798130 898611870 911987882 925198020 940086264 943435740 965634228 971348040 1002297855 1018426786 1048557756 1052293710 1069117712 1072926920 1078334244 1084714920 1132122888 1135937569 1168195431 1175107830 1198149160 1202757426 1207042785 1233597360 1257914320 1262752452 1287512304 1310697195 1336397140 1347917805 1367981823 1398077008 1403058280 1410129396 1415153610 1437778992 1485591120 1527640179 1557593908 1566810440 1572836634 1578440565 1603676568 1609390380 1658975760 1683669936 1737316282 1747596260 1762661745 1797223740 1823975764 1850396040 1880172528 1886871480 1931268456 1942696080 1946992385 2004595710 2036853572 2097115512 2104587420 2145853840 2156668488 2169429840 2264245776 2271875138 2279969705 2336390862 2350215660 2396298320 2405514852 2414085570 2525504904 2546066965 2605974423 2621394390 2672794280 2695835610 2735963646 2806116560 2820258792 2830307220 3006893565 3055280358 3115187816 3133620880 3145673268 3156881130 3207353136 3218780760 3407812707 3474632564 3495192520 3504586293 3525323490 3594447480 3647951528 3700792080 3773742960 3862536912 3893984770 3932091585 4009191420 4073707144 4103945469 4194231024 4209174840 4313336976 4343290705 4543750276 4559939410 4582920537 4672781724 4700431320 4811029704 4828171140 5051009808 5092133930 5211948846 5242788780 5345588560 5391671220 5471927292 5640517584 5660614440 5679687845 5840977155 6013787130 6110560716 6230375632 6291346536 6313762260 6437561520 6619774109 6815625414 6839909115 6949265128 6990385040 7009172586 7050646980 7188894960 7295903056 7638200895 7787969540 7817923269 7864183170 8018382840 8147414288 8207890938 8418349680 8686581410 9087500552 9119878820 9165841074 9345563448 9400862640 9622059408 9656342280 10184267860 10223438121 10423897692 10485577560 10783342440 10943854584 11292555833 11321228880 11359375690 11681954310 12027574260 12221121432 12582693072 12627524520 13029872115 13239548218 13631250828 13679818230 13898530256 14018345172 14101293960 14767188397 15276401790 15575939080 15635846538 15728366340 16036765680 16415781876 17039063535 17373162820 17522931465 18175001104 18239757640 18331682148 18691126896 19312684560 19859322327 20368535720 20446876242 20519727345 20847795384 20971155120 21566684880 21887709168 22585111666 22718751380 22914602685 23363908620 24055148520 24442242864 25255049040 26059744230 26479096436 27262501656 27359636460 28036690344 28202587920 29534376794 30552803580 31151878160 31271693076 31456732680 32831563752 33098870545 33877667499 34078127070 34746325640 35045862930 36479515280 36663364296 39089616345 39718644654 40737071440 40893752484 41039454690 41695590768 44301565191 45170223332 45437502760 45829205370 46727817240 48110297040 51117190605 52119488460 52958192872 54525003312 54719272920 56073380688 56462779165 59068753588 59577966981 61105607160 62543386152 62913465360 65663127504 66197741090 67755334998 68156254140 69492651280 70091725860 73326728592 73835941985 78179232690 79437289308 81787504968 82078909380 88603130382 90340446664 90875005520 91658410740 93455634480 99296611635 101633002497 102234381210 104238976920 105916385744 109438545840 112925558330 118137507176 119155933962 122211214320 125086772304 132395482180 132904695573 135510669996 136312508280 140183451720 147671883970 156358465380 158874578616 163575009936 164157818760 169388337495 177206260764 180680893328 183316821480 191973449161 198593223270 203266004994 204468762420 208477953840 221507825955 225851116660 236275014352 238311867924 264790964360 265809391146 271021339992 272625016560 280366903440 295343767940 297889834905 312716930760 317749157232 328315637520 338776674990 354412521528 366633642960 383946898322 397186446540 406532009988 408937524840 443015651910 451702233320 476623735848 508165012485 529581928720 531618782292 542042679984 575920347483 590687535880 595779669810 625433861520 664523477865 677553349980 708825043056 767893796644 794372893080 813064019976 817875049680 886031303820 903404466640 953247471696 959867245805 1016330024970 1063237564584 1151840694966 1181375071760 1191559339620 1329046955730 1355106699960 1535787593288 1588745786160 1626128039952 1727761042449 1772062607640 1919734491610 2032660049940 2126475129168 2303681389932 2383118679240 2658093911460 2710213399920 2879601737415 3071575186576 3455522084898 3544125215280 3839468983220 4065320099880 4607362779864 4766237358480 5316187822920 5759203474830 6911044169796 7678937966440 8130640199760 8638805212245 9214725559728 10632375645840 11518406949660 13822088339592 15357875932880 17277610424490 23036813899320 27644176679184 34555220848980 46073627798640 69110441697960 138220883395920
- Sum of all divisors σ(n): 552107955016800
- Sum of proper divisors (its aliquot sum) s(n): 413887071620880
- 138220883395920 is an abundant number, because the sum of its proper divisors (413887071620880) is greater than itself. Its abundance is 275666188224960
Bases of 138220883395920
- Binary: 111110110110110000011101010011111000101010100002
- Hexadecimal: 0x7DB60EA7C550
- Base-36: 1CZTSP7SK0
Squares and roots of 138220883395920
- 138220883395920 squared (1382208833959202) is 19105012606748513151472646400
- 138220883395920 cubed (1382208833959203) is 2640711719794967837997533262685821362688000
-
The
square root of 138220883395920 is 11756737.7871550745 -
The
cube root of 138220883395920 is 51704.0490322013
Scales and comparisons
How big is 138220883395920?- 138,220,883,395,920 seconds is equal to 4,394,996 years, 28 weeks, 3 days, 12 minutes.
-
To count from 1 to 138,220,883,395,920 would take you about ten million, nine hundred eighty-seven thousand, four hundred ninety-one 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 138220883395920 cubic inches would be around 4308.7 feet tall.
Recreational maths with 138220883395920
- 138220883395920 backwards is 029593388022831
- The number of decimal digits it has is: 15
- The sum of 138220883395920's digits is 63
- More coming soon!
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"Number 138220883395920 - Facts about the integer". Numbermatics.com. 2024. Web. 26 September 2024.
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Numbermatics. (2024). Number 138220883395920 - Facts about the integer. Retrieved 26 September 2024, from https://numbermatics.com/n/138220883395920/
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The information we have on file for 138220883395920 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 138220883395920, math, Factors of 138220883395920, curriculum, school, college, exams, university, Prime factorization of 138220883395920, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, two hundred twenty billion, eight hundred eighty-three million, three hundred ninety-five thousand, nine hundred twenty.