3427742170944
3,427,742,170,944 is an even composite number composed of seven prime numbers multiplied together.
What does the number 3427742170944 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1344 divisors.
3427742170944 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 3427742170944:
26 × 32 × 73 × 13 × 41 × 43 × 757
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 7 × 13 × 41 × 43 × 757)See below for interesting mathematical facts about the number 3427742170944 from the Numbermatics database.
Names of 3427742170944
- Cardinal: 3427742170944 can be written as Three trillion, four hundred twenty-seven billion, seven hundred forty-two million, one hundred seventy thousand, nine hundred forty-four.
Scientific notation
- Scientific notation: 3.427742170944 × 1012
Factors of 3427742170944
Divisors of 3427742170944
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 41 42 43 48 49 52 56 63 64 72 78 82 84 86 91 96 98 104 112 117 123 126 129 144 147 156 164 168 172 182 192 196 208 224 234 246 252 258 273 287 288 294 301 312 328 336 343 344 364 369 387 392 416 441 448 468 492 504 516 533 546 559 574 576 588 602 624 637 656 672 686 688 728 738 757 774 784 819 832 861 882 903 936 984 1008 1029 1032 1066 1092 1118 1148 1176 1204 1248 1274 1312 1344 1372 1376 1456 1476 1514 1548 1568 1599 1638 1677 1722 1763 1764 1806 1872 1911 1968 2009 2016 2058 2064 2107 2132 2184 2236 2271 2296 2352 2408 2496 2548 2583 2624 2709 2744 2752 2912 2952 3028 3087 3096 3136 3198 3276 3354 3444 3526 3528 3612 3731 3744 3822 3913 3936 4018 4032 4116 4128 4214 4264 4368 4459 4472 4542 4592 4704 4797 4816 5031 5096 5166 5289 5299 5418 5488 5733 5824 5904 6027 6056 6174 6192 6321 6396 6552 6708 6813 6888 7052 7056 7224 7462 7488 7644 7826 7872 8036 8232 8256 8428 8528 8736 8918 8944 9084 9184 9408 9594 9632 9841 10062 10192 10332 10578 10598 10836 10976 11193 11466 11739 11808 12054 12112 12341 12348 12384 12642 12792 13104 13377 13416 13626 13776 14063 14104 14112 14448 14749 14924 15288 15652 15867 15897 16072 16464 16856 17056 17472 17836 17888 18081 18168 18368 18963 19188 19264 19682 20124 20384 20664 21156 21196 21672 21952 22386 22919 22932 23478 23616 24108 24224 24682 24696 24768 25284 25584 26117 26208 26754 26832 27252 27391 27552 28126 28208 28224 28896 29498 29523 29848 30576 31037 31304 31734 31794 32144 32551 32928 33579 33712 34112 35217 35672 35776 36162 36336 37023 37093 37926 38376 39364 40131 40248 40768 41328 42189 42312 42392 43344 44247 44772 45838 45864 46956 47691 48216 48448 49364 49392 50568 51168 52234 52416 53508 53664 54504 54782 55104 56252 56416 57792 58996 59046 59696 61152 62074 62608 63468 63588 64288 65102 65856 67158 67424 68757 68887 70434 71344 72324 72672 74046 74186 75852 76752 78351 78728 80262 80496 82173 82656 84378 84624 84784 86387 86688 88494 88569 89544 91676 91728 93111 93912 95382 96432 97653 98728 98784 101136 102336 104468 107016 107328 109008 109564 111069 111279 112504 112832 117992 118092 119392 122304 124148 125216 126567 126936 127176 128576 130204 132741 134316 134848 137514 137774 140868 142688 144648 145344 148092 148372 151704 153504 156702 157456 160433 160524 160992 164346 165312 168756 169248 169568 172774 173376 176988 177138 179088 182819 183352 183456 186222 187824 190764 191737 192864 195306 197456 197568 202272 206271 206661 208936 214032 217259 218016 219128 222138 222558 225008 227857 235053 235984 236184 238784 246519 248296 250432 253134 253872 254352 259161 259651 260408 265482 268632 275028 275548 279333 281736 285376 289296 292959 296184 296744 303408 307008 313404 314912 320866 321048 321984 328692 333837 337512 338496 339136 345548 353976 354276 358176 365638 366704 366912 372444 375648 381528 383474 385728 390612 394912 403481 404544 412542 413322 417872 423163 428064 434518 436032 438256 444276 445116 450016 455714 470106 471968 472368 481299 482209 493038 496592 506268 507744 508704 518322 519302 520816 530964 537264 548457 550056 551096 558666 563472 575211 578592 585918 592368 593488 604709 606816 619983 626808 629824 641732 642096 651777 657384 667674 675024 683571 691096 707952 708552 716352 731276 733408 744888 751296 763056 766948 777483 778953 781224 789824 806962 825084 826644 835744 846326 856128 869036 876512 888552 890232 900032 911428 940212 943936 944736 962598 964418 986076 993184 1012536 1015488 1017408 1036644 1038604 1041632 1061928 1074528 1096914 1100112 1102192 1117332 1123031 1126944 1150422 1157184 1171836 1184736 1186976 1209418 1210443 1213632 1239966 1253616 1269489 1283464 1284192 1303554 1314768 1334591 1335348 1350048 1367142 1382192 1415904 1417104 1443897 1446627 1462552 1466816 1489776 1520813 1526112 1533896 1554966 1557906 1562448 1594999 1613924 1645371 1650168 1653288 1671488 1692652 1725633 1738072 1753024 1777104 1780464 1814127 1822856 1880424 1889472 1925196 1928836 1955331 1972152 1986368 2025072 2050713 2073288 2077208 2083264 2123856 2149056 2193828 2200224 2204384 2234664 2246062 2253888 2300844 2336859 2343672 2369472 2373952 2418836 2420886 2479932 2507232 2538978 2566928 2568384 2607108 2629536 2669182 2670696 2700096 2734284 2764384 2824367 2831808 2834208 2887794 2893254 2925104 2962141 2979552 3041626 3052224 3067792 3109932 3115812 3124896 3189998 3227848 3290742 3300336 3306576 3369093 3375463 3385304 3451266 3476144 3554208 3560928 3628254 3631329 3645712 3760848 3808467 3850392 3857672 3910662 3944304 4003773 4050144 4101426 4146576 4154416 4247712 4339881 4387656 4400448 4408768 4469328 4492124 4562439 4601688 4673718 4687344 4784997 4837672 4841772 4959864 5014464 5077956 5133856 5214216 5259072 5338364 5341392 5442381 5468568 5528768 5648734 5668416 5775588 5786508 5850208 5924282 5959104 6083252 6135584 6219864 6231624 6249792 6379996 6455696 6581484 6600672 6613152 6738186 6750926 6770608 6902532 6952288 7108416 7121856 7256508 7262658 7291424 7521696 7616934 7700784 7715344 7821324 7861217 7888608 8007546 8100288 8202852 8293152 8308832 8473101 8495424 8679762 8775312 8886423 8938656 8984248 9124878 9203376 9342137 9347436 9374688 9569994 9675344 9683544 9919728 10107279 10126389 10155912 10267712 10428432 10645691 10676728 10682784 10884762 10937136 11164993 11297468 11551176 11573016 11700416 11848564 12011319 12166504 12271168 12439728 12463248 12759992 12911392 13162968 13201344 13226304 13476372 13501852 13541216 13687317 13805064 13904576 14354991 14513016 14525316 14582848 15043392 15233868 15401568 15430688 15642648 15722434 15777216 16015092 16405704 16586304 16617664 16946202 17349683 17359524 17550624 17772846 17877312 17968496 18249756 18406752 18684274 18694872 18749376 19139988 19350688 19367088 19770569 19839456 20214558 20252778 20311824 20734987 20856864 21291382 21353456 21365568 21769524 21874272 22329986 22594936 23102352 23146032 23583651 23697128 24022638 24333008 24879456 24926496 25419303 25519984 25822784 26325936 26659269 26952744 27003704 27082432 27374634 27610128 28026411 28709982 29026032 29050632 30379167 30467736 30803136 30861376 31285296 31444868 31937073 32030184 32811408 33494979 33892404 34699366 34719048 35101248 35545692 35936992 36499512 36813504 37368548 37389744 38279976 38701376 38734176 39541138 39678912 40429116 40505556 40623648 41469974 41713728 42582764 42706912 43539048 43748544 44659972 45189872 46204704 46292064 47167302 47394256 48045276 48666016 49758912 49852992 50838606 51039968 52049049 52651872 53318538 53905488 54007408 54749268 55220256 56052822 57419964 58052064 58101264 59311707 60758334 60935472 62204961 62570592 62889736 63874146 64060368 65394959 65622816 66989958 67784808 69398732 69438096 70750953 71091384 71873984 72999024 74737096 74779488 76559952 77468352 79082276 80858232 81011112 81247296 82939948 84079233 85165528 85413824 87078096 89319944 90379744 92409408 92584128 94334604 94788512 95811219 96090552 97332032 100484937 101677212 102079936 104098098 105303744 106637076 107810976 108014816 109498536 110440512 112105644 114839928 116104128 116202528 118623414 121447781 121516668 121870944 124409922 125141184 125779472 127748292 128120736 130789918 131245632 133979916 135569616 138393983 138797464 138876192 141501906 142182768 145144909 145998048 149474192 149558976 153119904 156147147 158164552 161716464 162022224 165879896 168158466 170331056 174156192 177935121 178639888 180759488 186614883 188669208 189577024 191622438 192181104 196184877 200969874 203354424 208196196 213274152 215621952 216029632 218997072 224211288 229679856 232405056 237246828 242895562 243033336 243741888 248819844 251558944 255496584 256241472 261579836 267959832 271139232 276787966 277594928 277752384 283003812 284365536 290289818 291996096 298948384 306239808 312294294 316329104 323432928 324044448 331759792 336316932 340662112 348312384 355870242 357279776 364343343 373229766 377338416 383244876 384362208 392369754 401939748 406708848 415181949 416392392 426548304 435434727 437994144 448422576 457764713 459359712 474493656 485791124 486066672 497639688 503117888 510993168 523159672 535919664 542278464 553575932 555189856 566007624 568731072 580579636 588554631 597896768 624588588 632658208 646865856 648088896 663519584 672633864 681324224 711740484 714559552 728686686 746459532 754676832 766489752 768724416 784739508 803879496 813417696 830363898 832784784 850134467 853096608 870869454 875988288 896845152 915529426 918719424 948987312 971582248 972133344 995279376 1021986336 1046319344 1071839328 1093030029 1107151864 1110379712 1132015248 1161159272 1177109262 1245545847 1249177176 1265316416 1306304181 1327039168 1345267728 1373294139 1423480968 1457373372 1492919064 1509353664 1532979504 1569479016 1607758992 1626835392 1660727796 1665569568 1700268934 1706193216 1741738908 1793690304 1831058852 1897974624 1943164496 1944266688 1990558752 2043972672 2092638688 2143678656 2186060058 2214303728 2264030496 2322318544 2354218524 2491091694 2498354352 2550403401 2612608362 2690535456 2746588278 2846961936 2914746744 2985838128 3065959008 3138958032 3215517984 3321455592 3331139136 3400537868 3483477816 3662117704 3795949248 3886328992 3981117504 4119882417 4185277376 4372120116 4428607456 4528060992 4644637088 4708437048 4982183388 4996708704 5100806802 5225216724 5381070912 5493176556 5693923872 5829493488 5950941269 5971676256 6131918016 6277916064 6431035968 6642911184 6801075736 6966955632 7324235408 7651210203 7772657984 8239764834 8744240232 8857214912 9289274176 9416874096 9964366776 9993417408 10201613604 10450433448 10986353112 11387847744 11658986976 11901882538 11943352512 12555832128 13285822368 13602151472 13933911264 14648470816 15302420406 16479529668 17488480464 17852823807 18833748192 19928733552 20403227208 20900866896 21972706224 23317973952 23803765076 26571644736 27204302944 27867822528 29296941632 30604840812 32959059336 34976960928 35705647614 37667496384 39857467104 40806454416 41801733792 43945412448 47607530152 53558471421 54408605888 61209681624 65918118672 69953921856 71411295228 79714934208 81612908832 83603467584 87890824896 95215060304 107116942842 122419363248 131836237344 142822590456 163225817664 190430120608 214233885684 244838726496 263672474688 285645180912 380860241216 428467771368 489677452992 571290361824 856935542736 1142580723648 1713871085472 3427742170944
- Sum of all divisors σ(n): 12951088550400
- Sum of proper divisors (its aliquot sum) s(n): 9523346379456
- 3427742170944 is an abundant number, because the sum of its proper divisors (9523346379456) is greater than itself. Its abundance is 6095604208512
Bases of 3427742170944
- Binary: 1100011110000101010101101010111111010000002
- Hexadecimal: 0x31E155ABF40
- Base-36: 17QOL6Q80
Squares and roots of 3427742170944
- 3427742170944 squared (34277421709442) is 11749416390467886117851136
- 3427742170944 cubed (34277421709443) is 40273970045587408349517613144856592384
-
The
square root of 3427742170944 is 1851416.2608511355 -
The
cube root of 3427742170944 is 15077.7330254843
Scales and comparisons
How big is 3427742170944?- 3,427,742,170,944 seconds is equal to 108,991 years, 31 weeks, 19 hours, 2 minutes, 24 seconds.
-
To count from 1 to 3,427,742,170,944 would take you about two hundred seventy-two thousand, four hundred seventy-eight 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 3427742170944 cubic inches would be around 1256.5 feet tall.
Recreational maths with 3427742170944
- 3427742170944 backwards is 4490712477243
- The number of decimal digits it has is: 13
- The sum of 3427742170944's digits is 54
- 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 3427742170944 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
APA style:
Numbermatics. (2024). Number 3427742170944 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/3427742170944/
Chicago style:
Numbermatics. 2024. "Number 3427742170944 - Facts about the integer". https://numbermatics.com/n/3427742170944/
The information we have on file for 3427742170944 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 3427742170944, math, Factors of 3427742170944, curriculum, school, college, exams, university, Prime factorization of 3427742170944, STEM, science, technology, engineering, physics, economics, calculator, three trillion, four hundred twenty-seven billion, seven hundred forty-two million, one hundred seventy thousand, nine hundred forty-four.