42468891018400
42,468,891,018,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 42468891018400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1296 divisors.
42468891018400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 42468891018400:
25 × 52 × 73 × 115 × 312
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7 × 11 × 11 × 11 × 11 × 11 × 31 × 31)See below for interesting mathematical facts about the number 42468891018400 from the Numbermatics database.
Names of 42468891018400
- Cardinal: 42468891018400 can be written as Forty-two trillion, four hundred sixty-eight billion, eight hundred ninety-one million, eighteen thousand, four hundred.
Scientific notation
- Scientific notation: 4.24688910184 × 1013
Factors of 42468891018400
Divisors of 42468891018400
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 25 28 31 32 35 40 44 49 50 55 56 62 70 77 80 88 98 100 110 112 121 124 140 154 155 160 175 176 196 200 217 220 224 242 245 248 275 280 308 310 341 343 350 352 385 392 400 434 440 484 490 496 539 550 560 605 616 620 682 686 700 770 775 784 800 847 868 880 961 968 980 992 1078 1085 1100 1120 1210 1225 1232 1240 1331 1364 1372 1400 1519 1540 1550 1568 1694 1705 1715 1736 1760 1922 1925 1936 1960 2156 2170 2200 2387 2420 2450 2464 2480 2662 2695 2728 2744 2800 3025 3038 3080 3100 3388 3410 3430 3472 3751 3773 3844 3850 3872 3920 4235 4312 4340 4400 4774 4805 4840 4900 4960 5324 5390 5425 5456 5488 5600 5929 6050 6076 6160 6200 6655 6727 6776 6820 6860 6944 7502 7546 7595 7688 7700 7840 8470 8525 8575 8624 8680 8800 9317 9548 9610 9680 9800 10571 10633 10648 10780 10850 10912 10976 11858 11935 12100 12152 12320 12400 13310 13454 13475 13552 13640 13720 14641 15004 15092 15190 15376 15400 16709 16940 17050 17150 17248 17360 18634 18755 18865 19096 19220 19360 19600 21142 21175 21266 21296 21560 21700 23716 23870 24025 24200 24304 24800 26257 26620 26908 26950 27104 27280 27440 29282 29645 30008 30184 30380 30752 30800 33275 33418 33635 33880 34100 34300 34720 37268 37510 37730 37975 38192 38440 39200 41261 41503 42284 42350 42532 42592 43120 43400 46585 47089 47432 47740 48050 48400 48608 52514 52855 53165 53240 53816 53900 54560 54880 58564 59290 59675 60016 60368 60760 61600 65219 66550 66836 67270 67760 68200 68600 73205 73997 74536 75020 75460 75950 76384 76880 82522 83006 83545 84568 84700 85064 86240 86800 93170 93775 94178 94325 94864 95480 96100 96800 102487 105028 105710 106330 106480 107632 107800 116281 116963 117128 118580 119350 120032 120736 121520 130438 131285 133100 133672 134540 135520 136400 137200 146410 147994 148225 149072 150040 150920 151900 153760 161051 165044 166012 167090 168175 169136 169400 170128 173600 183799 186340 187550 188356 188650 189728 190960 192200 204974 206305 207515 210056 211420 212660 212960 215264 215600 232562 232925 233926 234256 235445 237160 238700 243040 260876 262570 264275 265825 266200 267344 269080 272800 274400 288827 292820 295988 296450 298144 300080 301840 303800 322102 326095 329623 330088 332024 334180 336350 338272 338800 340256 366025 367598 369985 372680 375100 376712 377300 381920 384400 409948 412610 415030 417725 420112 422840 425320 431200 453871 456533 465124 465850 467852 468512 470890 474320 477400 512435 517979 521752 525140 528550 531650 532400 534688 538160 577654 581405 584815 585640 591976 592900 600160 603680 607600 644204 652190 656425 659246 660176 664048 668360 672700 677600 717409 732050 735196 739970 745360 750200 753424 754600 768800 805255 813967 819896 825220 830060 835450 840224 845680 850640 907742 913066 918995 930248 931700 935704 941780 948640 954800 1024870 1031525 1035958 1037575 1043504 1050280 1057100 1063300 1064800 1076320 1127357 1155308 1162810 1169630 1171280 1177225 1183952 1185800 1215200 1279091 1286593 1288408 1304380 1312850 1318492 1320352 1328096 1336720 1345400 1434818 1444135 1464100 1470392 1479940 1490720 1500400 1506848 1509200 1610510 1627934 1630475 1639792 1648115 1650440 1660120 1670900 1691360 1701280 1815484 1826132 1837990 1849925 1860496 1863400 1871408 1883560 1909600 2021789 2049740 2063050 2071916 2075150 2087008 2100560 2114200 2126600 2254714 2269355 2282665 2310616 2325620 2339260 2342560 2354450 2367904 2371600 2558182 2562175 2573186 2576816 2589895 2608760 2625700 2636984 2673440 2690800 2869636 2888270 2907025 2924075 2928200 2940784 2959880 3000800 3018400 3177097 3221020 3255868 3260950 3279584 3296230 3300880 3320240 3341800 3587045 3625853 3630968 3652264 3675980 3699850 3720992 3726800 3742816 3767120 4026275 4043578 4069835 4099480 4126100 4143832 4150300 4201120 4228400 4253200 4509428 4538710 4565330 4594975 4621232 4651240 4678520 4708900 4743200 4992581 5021863 5116364 5124350 5146372 5153632 5179790 5217520 5251400 5273968 5381600 5636785 5697769 5739272 5776540 5814050 5848150 5856400 5881568 5919760 6354194 6395455 6432965 6442040 6511736 6521900 6592460 6601760 6640480 6683600 7174090 7220675 7251706 7261936 7304528 7351960 7399700 7453600 7534240 7891499 8052550 8087156 8139670 8198960 8240575 8252200 8287664 8300600 8456800 8506400 8953637 9018856 9077420 9130660 9189950 9242464 9302480 9357040 9417800 9985162 10043726 10108945 10232728 10248700 10292744 10359580 10435040 10502800 10547936 11273570 11346775 11395538 11413325 11478544 11553080 11628100 11696300 11712800 11839520 12708388 12790910 12865930 12884080 12949475 13023472 13043800 13184920 13367200 14070001 14152523 14348180 14441350 14503412 14523872 14609056 14703920 14799400 15782998 15885485 16105100 16174312 16279340 16397920 16481150 16504400 16575328 16601200 17907274 17935225 18037712 18129265 18154840 18261320 18379900 18604960 18714080 18835600 19970324 20087452 20217890 20349175 20465456 20497400 20585488 20719160 21005600 22239679 22547140 22693550 22791076 22826650 22957088 23106160 23256200 23392600 24962905 25109315 25416776 25581820 25731860 25768160 25898950 26046944 26087600 26369840 28140002 28183925 28305046 28488845 28696360 28882700 29006824 29407840 29598800 31565996 31770970 31977275 32164825 32210200 32348624 32558680 32962300 33008800 33202400 34948067 35814548 35870450 36075424 36258530 36309680 36522640 36759800 37671200 39457495 39884383 39940648 40174904 40435780 40698350 40930912 40994800 41170976 41438320 44479358 44768185 45094280 45387100 45582152 45653300 46212320 46512400 46785200 49925810 50218630 50544725 50833552 51163640 51463720 51797900 52175200 52739680 55240493 56280004 56367850 56610092 56977690 57392720 57765400 58013648 59197600 62675459 63131992 63541940 63954550 64329650 64420400 64697248 65117360 65924600 69896134 70350005 70762615 71629096 71740900 72517060 72619360 73045280 73519600 78914990 79427425 79768766 79881296 80349808 80871560 81396700 81989600 82876640 88958716 89536370 90188560 90646325 90774200 91164304 91306600 93024800 93570400 98490007 99851620 100437260 101089450 101667104 102327280 102927440 103595800 110480986 111198395 112560008 112735700 113220184 113955380 114785440 115530800 116027296 124814525 125350918 125546575 126263984 127083880 127909100 128659300 128840800 130234720 131849200 139792268 140700010 141525230 142444225 143258192 143481800 145034120 147039200 154770011 155677753 157829980 158854850 159537532 159762592 160699616 161743120 162793400 174740335 177917432 179072740 180377120 181292650 181548400 182328608 182613200 196980014 197287475 199421915 199703240 200874520 202178900 204654560 205854880 207191600 220961972 222396790 223840925 225120016 225471400 226440368 227910760 231061600 244636469 249629050 250701836 251093150 252527968 254167760 255818200 257318600 263698400 276202465 279584536 281400020 283050460 284888450 286516384 286963600 290068240 309540022 311355506 313377295 315659960 317709700 319075064 323486240 325586800 349480670 351750025 353813075 355834864 358145480 362585300 363096800 365226400 393960028 394574950 398843830 399406480 401749040 404357800 414383200 438728213 441923944 444793580 447681850 450240032 450942800 452880736 455821520 489272938 492450035 499258100 501403672 502186300 508335520 511636400 514637200 552404930 555991975 559169072 562800040 566100920 569776900 573927200 580136480 619080044 622711012 626754590 631319920 635419400 638150128 651173600 689430049 698961340 703500050 707626150 711669728 716290960 725170600 773850055 778388765 787920056 789149900 797687660 798812960 803498080 808715600 873701675 877456426 883847888 889587160 895363700 901885600 911643040 978545876 984900070 997109575 998516200 1002807344 1004372600 1023272800 1029274400 1083390077 1104809860 1111983950 1118338144 1125600080 1132201840 1139553800 1223182345 1238160088 1245422024 1253509180 1262639840 1270838800 1276300256 1378860098 1381012325 1397922680 1407000100 1415252300 1432581920 1450341200 1547700110 1556777530 1566886475 1575840112 1578299800 1595375320 1617431200 1712455283 1747403350 1754912852 1767695776 1779174320 1790727400 1957091752 1969800140 1994219150 1997032400 2005614688 2008745200 2166780154 2193641065 2209619720 2223967900 2251200160 2264403680 2279107600 2446364690 2462250175 2476320176 2490844048 2507018360 2541677600 2757720196 2762024650 2795845360 2814000200 2830504600 2900682400 3095400220 3113555060 3133772950 3151680224 3156599600 3190750640 3424910566 3447150245 3494806700 3509825704 3558348640 3581454800 3869250275 3891943825 3914183504 3939600280 3988438300 3994064800 4017490400 4333560308 4387282130 4419239440 4447935800 4558215200 4826010343 4892729380 4924500350 4952640352 4981688096 5014036720 5416950385 5515440392 5524049300 5591690720 5628000400 5661009200 6115911725 6190800440 6227110120 6267545900 6313199200 6381501280 6849821132 6894300490 6989613400 7019651408 7162909600 7583730539 7738500550 7783887650 7828367008 7879200560 7976876600 8562276415 8667120616 8774564260 8838478880 8895871600 9652020686 9785458760 9849000700 10028073440 10833900770 10968205325 11030880784 11048098600 11256000800 11322018400 12231823450 12381600880 12454220240 12535091800 13699642264 13788600980 13979226800 14039302816 15167461078 15477001100 15567775300 15758401120 15953753200 17124552830 17235751225 17334241232 17549128520 17791743200 19304041372 19570917520 19698001400 21667801540 21936410650 22061761568 22096197200 24130051715 24463646900 24763201760 24908440480 25070183600 27084751925 27399284528 27577201960 27958453600 30334922156 30954002200 31135550600 31907506400 34249105660 34471502450 34668482464 35098257040 37918652695 38608082744 39141835040 39396002800 42811382075 43335603080 43872821300 44192394400 48260103430 48927293800 50140367200 53086113773 54169503850 54798569056 55154403920 60669844312 61908004400 62271101200 68498211320 68943004900 70196514080 75837305390 77216165488 78792005600 85622764150 86671206160 87745642600 96520206860 97854587600 106172227546 108339007700 110308807840 120650258575 121339688624 123816008800 124542202400 136996422640 137886009800 151674610780 154432330976 171245528300 173342412320 175491285200 189593263475 193040413720 195709175200 212344455092 216678015400 241300517150 242679377248 265430568865 273992845280 275772019600 303349221560 342491056600 350982570400 379186526950 386080827440 424688910184 433356030800 482601034300 530861137730 551544039200 606698443120 684982113200 758373053900 772161654880 849377820368 866712061600 965202068600 1061722275460 1213396886240 1327152844325 1369964226400 1516746107800 1698755640736 1930404137200 2123444550920 2654305688650 3033492215600 3860808274400 4246889101840 5308611377300 6066984431200 8493778203680 10617222754600 21234445509200 42468891018400
- Sum of all divisors σ(n): 137425507329600
- Sum of proper divisors (its aliquot sum) s(n): 94956616311200
- 42468891018400 is an abundant number, because the sum of its proper divisors (94956616311200) is greater than itself. Its abundance is 52487725292800
Bases of 42468891018400
- Binary: 10011010100000000011110010100111000100101000002
- Hexadecimal: 0x26A00F29C4A0
- Base-36: F1XXT74PS
Squares and roots of 42468891018400
- 42468891018400 squared (424688910184002) is 1803606704332736189138560000
- 42468891018400 cubed (424688910184003) is 76597176566362564308003234417109504000000
-
The
square root of 42468891018400 is 6516816.0184556385 -
The
cube root of 42468891018400 is 34889.1434058143
Scales and comparisons
How big is 42468891018400?- 42,468,891,018,400 seconds is equal to 1,350,379 years, 19 weeks, 1 day, 11 hours, 46 minutes, 40 seconds.
-
To count from 1 to 42,468,891,018,400 would take you about three million, three hundred seventy-five thousand, nine hundred forty-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 42468891018400 cubic inches would be around 2907.4 feet tall.
Recreational maths with 42468891018400
- 42468891018400 backwards is 00481019886424
- 42468891018400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42468891018400's digits is 55
- 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 42468891018400 - Facts about the integer". Numbermatics.com. 2024. Web. 11 May 2024.
APA style:
Numbermatics. (2024). Number 42468891018400 - Facts about the integer. Retrieved 11 May 2024, from https://numbermatics.com/n/42468891018400/
Chicago style:
Numbermatics. 2024. "Number 42468891018400 - Facts about the integer". https://numbermatics.com/n/42468891018400/
The information we have on file for 42468891018400 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 42468891018400, math, Factors of 42468891018400, curriculum, school, college, exams, university, Prime factorization of 42468891018400, STEM, science, technology, engineering, physics, economics, calculator, forty-two trillion, four hundred sixty-eight billion, eight hundred ninety-one million, eighteen thousand, four hundred.