40164925105997120
40,164,925,105,997,120 is an even composite number composed of eight prime numbers multiplied together.
What does the number 40164925105997120 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 896 divisors.
40164925105997120 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of eight hundred ninety-six divisors.
Prime factorization of 40164925105997120:
26 × 5 × 11 × 13 × 67 × 571 × 2801 × 8191
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 11 × 13 × 67 × 571 × 2801 × 8191)See below for interesting mathematical facts about the number 40164925105997120 from the Numbermatics database.
Names of 40164925105997120
- Cardinal: 40164925105997120 can be written as Forty quadrillion, one hundred sixty-four trillion, nine hundred twenty-five billion, one hundred five million, nine hundred ninety-seven thousand, one hundred twenty.
Scientific notation
- Scientific notation: 4.016492510599712 × 1016
Factors of 40164925105997120
Divisors of 40164925105997120
- Number of divisors d(n): 896
-
Complete list of divisors:
1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 64 65 67 80 88 104 110 130 134 143 160 176 208 220 260 268 286 320 335 352 416 440 520 536 571 572 670 704 715 737 832 871 880 1040 1072 1142 1144 1340 1430 1474 1742 1760 2080 2144 2284 2288 2680 2801 2855 2860 2948 3484 3520 3685 4160 4288 4355 4568 4576 5360 5602 5710 5720 5896 6281 6968 7370 7423 8191 8710 9136 9152 9581 10720 11204 11420 11440 11792 12562 13936 14005 14740 14846 16382 17420 18272 19162 21440 22408 22840 22880 23584 25124 27872 28010 29480 29692 30811 31405 32764 34840 36413 36544 37115 38257 38324 40955 44816 45680 45760 47168 47905 50248 55744 56020 58960 59384 61622 62810 65528 69680 72826 74230 76514 76648 81653 81910 89632 90101 91360 95810 100496 106483 112040 117920 118768 123244 125620 131056 139360 145652 148460 153028 153296 154055 163306 163820 179264 180202 182065 182720 187667 191285 191620 200992 212966 224080 235840 237536 246488 251240 262112 278720 291304 296920 306056 306592 308110 326612 327640 360404 364130 375334 382570 383240 400543 401984 408265 420827 425932 448160 450505 475072 492976 497341 502480 524224 532415 548797 582608 593840 612112 613184 616220 653224 655280 720808 728260 750668 765140 766480 801086 816530 841654 851864 896320 901010 938335 985952 994682 1004960 1064830 1097594 1165216 1171313 1187680 1224224 1232440 1306448 1310560 1441616 1456520 1501336 1530280 1532960 1599371 1602172 1633060 1683308 1703728 1802020 1876670 1971904 1989364 2002715 2009920 2064337 2104135 2129660 2195188 2330432 2342626 2375360 2439671 2448448 2464880 2486705 2612896 2621120 2743985 2883232 2913040 3002672 3060560 3065920 3198742 3204344 3266120 3366616 3407456 3604040 3753340 3978728 4005430 4128674 4208270 4259320 4390376 4677061 4685252 4879342 4929760 4973410 5225792 5470751 5487970 5766464 5826080 5856565 6005344 6036767 6121120 6397484 6408688 6532240 6733232 6814912 7134361 7208080 7506680 7957456 7996855 8010860 8257348 8416540 8518640 8780752 9354122 9370504 9758684 9859520 9946820 10321685 10941502 10975940 11652160 11713130 12010688 12073534 12198355 12242240 12794968 12817376 13064480 13466464 14268722 14416160 15013360 15914912 15993710 16021720 16514696 16833080 17037280 17561504 17593081 18708244 18741008 19517368 19893640 20643370 20791823 21883004 21951880 22942991 23385305 23426260 24147068 24396710 25589936 25634752 26128960 26836381 26932928 27353755 28537444 28832320 30026720 30183835 31829824 31987420 32043440 33029392 33666160 34074560 35123008 35186162 35671805 37416488 37482016 39034736 39787280 41286740 41583646 43766008 43903760 45885982 46770610 46852520 48294136 48793420 51179872 51447671 53672762 54707510 57074888 60053440 60367670 60801793 63974840 64086880 66058784 67332320 70372324 71343610 74832976 74964032 78069472 78477971 79574560 82573480 83167292 87532016 87807520 87965405 91771964 93541220 93705040 96588272 97586840 102359744 102895342 103959115 107157857 107345524 109415020 114149776 114714955 120735340 121603586 127949680 128173760 132117568 134181905 134664640 140744648 142687220 149665952 156138944 156955942 159149120 165146960 166334584 175064032 175615040 175930810 183543928 187082440 187410080 193176544 195173680 205790684 207918230 214315714 214691048 218830040 228299552 228710053 229429910 241470680 243207172 252372901 255899360 257238355 268363810 281489296 285374440 298258883 299331904 304008965 313363087 313911884 330293920 332669168 350128064 351861620 367087856 374164880 374820160 386353088 390347360 392389855 411581368 415836460 428631428 429382096 437660080 456599104 457420106 458859820 482941360 486414344 504745802 511798720 514476710 535789285 536727620 562978592 570748880 596517766 608017930 626726174 627823768 660587840 665338336 668819723 703723240 734175712 748329760 780694720 784779710 823162736 831672920 857262856 858764192 875320160 914840212 917719640 965882720 972828688 1009491604 1028953420 1071578570 1073455240 1125957184 1141497760 1143550265 1178736427 1193035532 1216035860 1253452348 1255647536 1261864505 1330676672 1337639446 1393052141 1407446480 1468351424 1491294415 1496659520 1537180397 1566815435 1569559420 1646325472 1663345840 1714525712 1717528384 1750640320 1829680424 1835439280 1931765440 1945657376 2018983208 2057906840 2143157140 2146910480 2282995520 2287100530 2357472854 2386071064 2432071720 2506904696 2511295072 2523729010 2675278892 2786104282 2814892960 2982588830 3074360794 3133630870 3139118840 3280847713 3292650944 3326691680 3344098615 3429051424 3446993957 3659360848 3670878560 3891314752 4037966416 4073720131 4115813680 4286314280 4293820960 4574201060 4714945708 4772142128 4864143440 5013809392 5022590144 5047458020 5350557784 5572208564 5629785920 5893682135 5965177660 6148721588 6267261740 6278237680 6561695426 6653383360 6688197230 6858102848 6893987914 6965260705 7318721696 7341757120 7685901985 8075932832 8147440262 8231627360 8572628560 8587641920 9148402120 9429891416 9544284256 9728286880 10027618784 10094916040 10701115568 11144417128 11787364270 11930355320 12297443176 12534523480 12556475360 13100447861 13123390852 13376394460 13787975828 13930521410 14637443392 15323573551 15371803970 16151865664 16294880524 16404238565 16463254720 16908984367 17145257120 17234969785 18296804240 18859782832 19088568512 19456573760 19983345161 20055237568 20189832080 20368600655 21402231136 22288834256 23574728540 23860710640 24594886352 25069046960 25112950720 26200895722 26246781704 26752788920 27575951656 27861042820 30647147102 30743607940 32589761048 32808477130 33817968734 34290514240 34469939570 36593608480 37719565664 39966690322 40379664160 40737201310 42804462272 44577668512 44810921441 47149457080 47721421280 49189772704 50138093920 52401791444 52493563408 53505577840 55151903312 55722085640 61294294204 61487215880 65179522096 65502239305 65616954260 67635937468 68939879140 73187216960 75439131328 76617867755 79933380644 80759328320 81474402620 84544921835 89155337024 89621842882 94298914160 95442842560 98379545408 99916725805 100276187840 104803582888 104987126816 107011155680 110303806624 111444171280 122588588408 122974431760 130359044192 131004478610 131233908520 135271874936 137879758280 144104926471 153235735510 159866761288 162948805240 169089843670 170305822193 179243685764 188597828320 199833451610 209607165776 209974253632 214022311360 219816796771 220607613248 222888342560 224054607205 245177176816 245948863520 260718088384 262008957220 262467817040 270543749872 275759516560 288209852942 306471471020 319733522576 325897610480 338179687340 340611644386 358487371528 377195656640 399666903220 419214331552 439633593542 445776685120 448109214410 490354353632 491897727040 524017914440 524935634080 541087499744 551519033120 576419705884 612942942040 639467045152 651795220960 676359374680 681223288772 716974743056 720524632355 799333806440 838428663104 851529110965 877730006687 879267187084 896218428820 980708707264 1048035828880 1049871268160 1082174999488 1099083983855 1103038066240 1152839411768 1225885884080 1278934090304 1303590441920 1352718749360 1362446577544 1433949486112 1441049264710 1598667612880 1703058221930 1755460013374 1758534374168 1792436857640 1873364044123 2096071657760 2198167967710 2305678823536 2451771768160 2705437498720 2724893155088 2867898972224 2882098529420 3197335225760 3406116443860 3510920026748 3517068748336 3584873715280 3746728088246 4192143315520 4388650033435 4396335935420 4611357647072 4903543536320 5410874997440 5449786310176 5764197058840 6394670451520 6812232887720 7021840053496 7034137496672 7169747430560 7493456176492 8777300066870 8792671870840 9222715294144 9366820220615 9655030073557 10899572620352 11410490086931 11528394117680 13624465775440 14043680106992 14068274993344 14339494861120 14986912352984 17554600133740 17585343741680 18733640441230 19310060147114 22820980173862 23056788235360 27248931550880 28087360213984 29973824705968 35109200267480 35170687483360 37467280882460 38620120294228 45641960347724 46113576470720 48275150367785 54497863101760 56174720427968 57052450434655 59947649411936 70218400534960 70341374966720 74934561764920 77240240588456 91283920695448 96550300735570 114104900869310 119895298823872 125515390956241 140436801069920 149869123529840 154480481176912 182567841390896 193100601471140 228209801738620 251030781912482 280873602139840 299738247059680 308960962353824 365135682781792 386201202942280 456419603477240 502061563824964 599476494119360 617921924707648 627576954781205 730271365563584 772402405884560 912839206954480 1004123127649928 1255153909562410 1544804811769120 1825678413908960 2008246255299856 2510307819124820 3089609623538240 3651356827817920 4016492510599712 5020615638249640 8032985021199424 10041231276499280 20082462552998560 40164925105997120
- Sum of all divisors σ(n): 114295009783578624
- Sum of proper divisors (its aliquot sum) s(n): 74130084677581504
- 40164925105997120 is an abundant number, because the sum of its proper divisors (74130084677581504) is greater than itself. Its abundance is 33965159571584384
Bases of 40164925105997120
- Binary: 100011101011000111001001010111010101111110000101010000002
- Hexadecimal: 0x8EB1C95D5F8540
- Base-36: AZH9ZV8H4JK
Squares and roots of 40164925105997120
- 40164925105997120 squared (401649251059971202) is 1613221208770357761267389448294400
- 40164925105997120 cubed (401649251059971203) is 64794909029667563757049266200526785357595312128000
-
The
square root of 40164925105997120 is 200411888.6343749819 -
The
cube root of 40164925105997120 is 342464.5747536397
Scales and comparisons
How big is 40164925105997120?- 40,164,925,105,997,120 seconds is equal to 1,277,120,380 years, 5 weeks, 1 day, 10 hours, 45 minutes, 20 seconds.
-
To count from 1 to 40,164,925,105,997,120 would take you about three billion, eight hundred thirty-one million, three hundred sixty-one thousand, one hundred forty 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 40164925105997120 cubic inches would be around 28538.7 feet tall.
Recreational maths with 40164925105997120
- 40164925105997120 backwards is 02179950152946104
- 40164925105997120 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 40164925105997120's digits is 65
- 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 40164925105997120 - Facts about the integer". Numbermatics.com. 2024. Web. 24 September 2024.
APA style:
Numbermatics. (2024). Number 40164925105997120 - Facts about the integer. Retrieved 24 September 2024, from https://numbermatics.com/n/40164925105997120/
Chicago style:
Numbermatics. 2024. "Number 40164925105997120 - Facts about the integer". https://numbermatics.com/n/40164925105997120/
The information we have on file for 40164925105997120 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 40164925105997120, math, Factors of 40164925105997120, curriculum, school, college, exams, university, Prime factorization of 40164925105997120, STEM, science, technology, engineering, physics, economics, calculator, forty quadrillion, one hundred sixty-four trillion, nine hundred twenty-five billion, one hundred five million, nine hundred ninety-seven thousand, one hundred twenty.