2004413631948
2,004,413,631,948 is an even composite number composed of seven prime numbers multiplied together.
2004413631948 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 2004413631948:
22 × 34 × 72 × 132 × 37 × 61 × 331
(2 × 2 × 3 × 3 × 3 × 3 × 7 × 7 × 13 × 13 × 37 × 61 × 331)See below for interesting mathematical facts about the number 2004413631948 from the Numbermatics database.
Names of 2004413631948
- Cardinal: 2004413631948 can be written as Two trillion, four billion, four hundred thirteen million, six hundred thirty-one thousand, nine hundred forty-eight.
Scientific notation
- Scientific notation: 2.004413631948 × 1012
Factors of 2004413631948
Divisors of 2004413631948
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 37 39 42 49 52 54 61 63 74 78 81 84 91 98 108 111 117 122 126 147 148 156 162 169 182 183 189 196 222 234 244 252 259 273 294 324 331 333 338 351 364 366 378 427 441 444 468 481 507 518 546 549 567 588 637 662 666 676 702 732 756 777 793 819 854 882 962 993 999 1014 1036 1053 1092 1098 1134 1183 1274 1281 1323 1324 1332 1404 1443 1521 1554 1586 1638 1647 1708 1764 1813 1911 1924 1986 1998 2028 2106 2196 2257 2268 2317 2331 2366 2379 2457 2548 2562 2646 2886 2979 2989 2997 3042 3108 3172 3276 3294 3367 3549 3626 3822 3843 3969 3972 3996 4212 4303 4329 4514 4563 4634 4662 4732 4758 4914 4941 5124 5292 5439 5551 5733 5772 5958 5978 5994 6084 6253 6588 6734 6771 6951 6993 7098 7137 7252 7371 7644 7686 7938 8281 8606 8658 8937 8967 9028 9126 9268 9324 9516 9828 9882 10101 10309 10647 10878 11102 11466 11529 11916 11956 11988 12247 12506 12909 12987 13468 13542 13689 13902 13986 14196 14274 14742 15372 15799 15876 16219 16317 16562 16653 17199 17212 17316 17874 17934 18252 18759 19764 20191 20202 20313 20618 20853 20979 21294 21411 21756 22204 22932 23058 23569 24494 24843 25012 25818 25974 26811 26901 27084 27378 27804 27972 28548 29341 29484 30121 30303 30927 31598 31941 32438 32634 33124 33306 34398 34587 35748 35868 36741 37518 38727 38857 38961 40382 40404 40626 41236 41706 41958 42588 42822 43771 46116 47138 47397 48657 48951 48988 49686 49959 51597 51636 51948 53622 53802 54756 55939 56277 58682 60242 60573 60606 60939 61854 62559 63196 63882 64233 64876 65268 66612 68796 69174 70707 72163 73482 74529 75036 77454 77714 77922 80703 80764 81252 83412 83916 85644 85729 87542 88023 90363 90909 92781 94276 94794 95823 97314 97902 99372 99918 103194 107244 107604 110223 110593 111878 112554 116181 116571 117364 120484 121146 121212 121878 123708 125118 127764 128466 131313 138348 141337 141414 142191 144326 145971 146853 146964 149058 149877 154908 155428 155844 159211 161406 167817 168831 171458 175084 176046 180726 181719 181818 182817 185562 187677 189588 191646 194628 195804 199836 205387 206388 210847 212121 216489 220446 221186 223587 223756 225108 232362 233142 242109 242292 243756 250236 256932 257187 262483 262626 264069 271089 272727 278343 282674 282828 284382 288652 291942 293706 298116 299754 306397 318422 322812 330669 331779 335634 337662 342916 348543 349713 352092 361452 363438 363636 365634 371124 375354 381433 383292 391573 393939 410774 421694 424011 424242 426573 432978 437913 440892 442372 447174 449631 464724 466284 477633 484218 503451 505141 506493 514374 524966 525252 528138 542178 545157 545454 556686 565348 568764 583884 587412 599508 600103 612794 616161 632541 636363 636844 649467 661338 663558 670761 671268 675324 697086 699426 726876 731268 747067 750708 762866 771561 783146 787449 787878 792207 813267 821548 835029 843388 848022 848484 853146 865956 875826 894348 899262 919191 955266 968436 989359 992007 995337 1006902 1010282 1012986 1028748 1049139 1049932 1056276 1084356 1090314 1090908 1113372 1114477 1144299 1174719 1181817 1200206 1225588 1232322 1265082 1272033 1272726 1279719 1298934 1313739 1322676 1327116 1341522 1394172 1398852 1432899 1437709 1494134 1510353 1515423 1525732 1543122 1566292 1574898 1575756 1584414 1626534 1635471 1670058 1696044 1706292 1751652 1798524 1800309 1837381 1838382 1848483 1897623 1909089 1910532 1948401 1978718 1984014 1990674 2013804 2020564 2025972 2069743 2098278 2180628 2228954 2241201 2288598 2314683 2349438 2362347 2363634 2376621 2400412 2439801 2464644 2530164 2544066 2545452 2559438 2597868 2627478 2670031 2683044 2741011 2757573 2865798 2875418 2968077 2986011 2988268 3020706 3030846 3086244 3147417 3149796 3168828 3253068 3270942 3340116 3343431 3412279 3432897 3524157 3545451 3600618 3674762 3676764 3696966 3795246 3816099 3818178 3896802 3957436 3968028 3981348 4139486 4196556 4298697 4313127 4457908 4482402 4531059 4546269 4577196 4629366 4698876 4724694 4727268 4753242 4879602 5088132 5118876 5229469 5254956 5340062 5400927 5482022 5512143 5515146 5545449 5692869 5731596 5750836 5845203 5936154 5972022 6041412 6061692 6209229 6294834 6541884 6686862 6723603 6824558 6865794 6944049 7048314 7087041 7090902 7201236 7349524 7393932 7590492 7632198 7636356 7793604 7801339 8010093 8223033 8272719 8278972 8597394 8626254 8904231 8958033 8964804 9062118 9092538 9258732 9449388 9506484 9711871 9759204 10030293 10236837 10298691 10458938 10572471 10680124 10801854 10964044 11024286 11030292 11090898 11385738 11448297 11690406 11872308 11944044 12418458 12589668 12861667 12896091 12939381 13373724 13447206 13638807 13649116 13731588 13888098 14096628 14174082 14181804 14488201 15264396 15602678 15688407 16020186 16202781 16446066 16536429 16545438 16636347 17078607 17194788 17252508 17808462 17916066 18124236 18185076 18627687 18690217 19423742 20060586 20170809 20473674 20597382 20917876 21144942 21261123 21603708 22048572 22181796 22771476 22896594 23380812 23404017 23885953 24030279 24669099 24818157 24836916 25723334 25792182 25878762 26712693 26894412 27277614 27776196 28348164 28976402 29135613 30090879 30710511 30896073 31205356 31376814 31717413 32040372 32405562 32892132 33072858 33090876 33272694 34157214 35616924 35832132 36606283 37255374 37380434 38585001 38818143 38847484 40121172 40341618 40916421 40947348 41194764 42289884 42522246 43464603 45793188 46808034 47065221 47771906 48060558 48608343 49338198 49609287 49636314 51446668 51584364 51757524 53425386 54555228 55883061 56070651 57952804 58271226 60181758 60512427 61421022 61792146 62753628 63434826 64811124 66145716 66545388 67983097 68314428 70212051 71657859 72090837 73212566 74007297 74510748 74760868 77170002 77636286 80138079 80683236 81832842 85044492 86929206 87406839 90272637 92131533 93616068 94130442 95543812 96121116 97216686 98676396 99218574 99272628 101417407 106850772 109818849 111766122 112141302 115755003 116454429 116542452 120363516 121024854 122842044 123584292 126254323 126869652 130393809 135966194 140424102 141195663 143315718 144181674 146425132 148014594 148827861 154340004 155272572 160276158 163665684 167201671 167649183 168211953 173858412 174813678 180545274 184263066 188260884 194433372 198437148 202834814 203949291 210636153 214973577 216272511 219637698 222021891 223532244 224282604 231510006 232908858 242049708 252508646 260787618 262220517 271932388 276394599 280848204 282391326 286631436 288363348 296029188 297655722 304252221 320552316 329456547 334403342 335298366 336423906 347265009 349627356 361090548 368526132 378762969 391181427 405669628 407898582 421272306 423586989 429947154 432545022 439275396 444043782 463020012 465817716 475881679 501605013 504635859 505017292 521575236 524441034 552789198 564782652 595311444 608504442 611847873 631908459 644920731 658913094 668806684 670596732 672847812 694530018 757525938 782362854 786661551 815797164 842544612 847173978 859894308 865090044 883780261 888087564 912756663 951763358 988369641 1003210026 1009271718 1041795027 1048882068 1105578396 1136288907 1173544281 1217008884 1223695746 1263816918 1289841462 1317826188 1389060036 1427645037 1504815039 1513907577 1515051876 1564725708 1573323102 1694347956 1767560522 1825513326 1835543619 1903526716 1934762193 1976739282 2006420052 2018543436 2083590054 2272577814 2347088562 2447391492 2527633836 2579682924 2651340783 2738269989 2855290074 2965108923 3009630078 3027815154 3146646204 3408866721 3535121044 3651026652 3671087238 3869524386 3953478564 4167180108 4282935111 4514445117 4545155628 4694177124 5302681566 5476539978 5506630857 5710580148 5930217846 6019260156 6055630308 6186461827 6817733442 7342174476 7739048772 7954022349 8214809967 8565870222 9028890234 10226600163 10605363132 10953079956 11013261714 11860435692 12372923654 12848805333 13543335351 13635466884 15908044698 16429619934 17131740444 18057780468 18559385481 20453200326 22026523428 23862067047 24745847308 25697610666 27086670702 31816089396 32859239868 37118770962 38546415999 40906400652 47724134094 51395221332 54173341404 55678156443 71586201141 74237541924 77092831998 95448268188 111356312886 143172402282 154185663996 167034469329 222712625772 286344804564 334068938658 501103407987 668137877316 1002206815974 2004413631948
- Sum of all divisors σ(n): 6910710904944
- Sum of proper divisors (its aliquot sum) s(n): 4906297272996
- 2004413631948 is an abundant number, because the sum of its proper divisors (4906297272996) is greater than itself. Its abundance is 2901883641048
Bases of 2004413631948
- Binary: 111010010101100000101110011001101110011002
- Hexadecimal: 0x1D2B05CCDCC
- Base-36: PKTC4GR0
Squares and roots of 2004413631948
- 2004413631948 squared (20044136319482) is 4017674007938972406274704
- 2004413631948 cubed (20044136319483) is 8053080550236033466796032469238643392
-
The
square root of 2004413631948 is 1415773.1569527655 -
The
cube root of 2004413631948 is 12608.4717360003
Scales and comparisons
How big is 2004413631948?- 2,004,413,631,948 seconds is equal to 63,734 years, 7 weeks, 6 days, 20 hours, 25 minutes, 48 seconds.
-
To count from 1 to 2,004,413,631,948 would take you about one hundred fifty-nine thousand, three hundred thirty-five 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 2004413631948 cubic inches would be around 1050.7 feet tall.
Recreational maths with 2004413631948
- 2004413631948 backwards is 8491363144002
- The number of decimal digits it has is: 13
- The sum of 2004413631948's digits is 45
- 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 2004413631948 - Facts about the integer". Numbermatics.com. 2024. Web. 22 September 2024.
APA style:
Numbermatics. (2024). Number 2004413631948 - Facts about the integer. Retrieved 22 September 2024, from https://numbermatics.com/n/2004413631948/
Chicago style:
Numbermatics. 2024. "Number 2004413631948 - Facts about the integer". https://numbermatics.com/n/2004413631948/
The information we have on file for 2004413631948 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 2004413631948, math, Factors of 2004413631948, curriculum, school, college, exams, university, Prime factorization of 2004413631948, STEM, science, technology, engineering, physics, economics, calculator, two trillion, four billion, four hundred thirteen million, six hundred thirty-one thousand, nine hundred forty-eight.