42542273007922688
42,542,273,007,922,688 is an even composite number composed of five prime numbers multiplied together.
42542273007922688 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred sixty divisors.
Prime factorization of 42542273007922688:
29 × 710 × 113 × 13 × 17
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 11 × 11 × 11 × 13 × 17)See below for interesting mathematical facts about the number 42542273007922688 from the Numbermatics database.
Names of 42542273007922688
- Cardinal: 42542273007922688 can be written as Forty-two quadrillion, five hundred forty-two trillion, two hundred seventy-three billion, seven million, nine hundred twenty-two thousand, six hundred eighty-eight.
Scientific notation
- Scientific notation: 4.2542273007922688 × 1016
Factors of 42542273007922688
Divisors of 42542273007922688
- Number of divisors d(n): 1760
-
Complete list of divisors:
1 2 4 7 8 11 13 14 16 17 22 26 28 32 34 44 49 52 56 64 68 77 88 91 98 104 112 119 121 128 136 143 154 176 182 187 196 208 221 224 238 242 256 272 286 308 343 352 364 374 392 416 442 448 476 484 512 539 544 572 616 637 686 704 728 748 784 832 833 847 884 896 952 968 1001 1078 1088 1144 1232 1274 1309 1331 1372 1408 1456 1496 1547 1568 1573 1664 1666 1694 1768 1792 1904 1936 2002 2057 2156 2176 2288 2401 2431 2464 2548 2618 2662 2744 2816 2912 2992 3094 3136 3146 3328 3332 3388 3536 3584 3773 3808 3872 4004 4114 4312 4352 4459 4576 4802 4862 4928 5096 5236 5324 5488 5632 5824 5831 5929 5984 6188 6272 6292 6656 6664 6776 7007 7072 7546 7616 7744 8008 8228 8624 8704 8918 9152 9163 9317 9604 9724 9856 10192 10472 10648 10829 10976 11011 11648 11662 11858 11968 12376 12544 12584 13328 13552 14014 14144 14399 15092 15232 15488 16016 16456 16807 17017 17248 17303 17836 18304 18326 18634 19208 19448 19712 20384 20944 21296 21658 21952 22022 22627 23296 23324 23716 23936 24752 25088 25168 26411 26656 26741 27104 28028 28288 28798 30184 30464 30976 31213 32032 32912 33614 34034 34496 34606 35672 36608 36652 37268 38416 38896 39424 40768 40817 41503 41888 42592 43316 43904 44044 45254 46592 46648 47432 47872 49049 49504 50336 52822 53312 53482 54208 56056 56576 57596 60368 60928 61952 62426 64064 64141 65219 65824 67228 68068 68992 69212 71344 73216 73304 74536 75803 76832 77077 77792 81536 81634 83006 83776 85184 86632 87808 88088 90508 93296 94864 95744 98098 99008 100672 100793 105644 106624 106964 108416 112112 113152 115192 117649 119119 120736 121121 124852 128128 128282 130438 131648 134456 136136 137984 138424 142688 146608 149072 151606 153664 154154 155584 158389 163072 163268 166012 167552 170368 173264 175616 176176 181016 184877 186592 187187 189728 196196 198016 201344 201586 211288 213248 213928 216832 218491 224224 230384 235298 238238 241472 242242 249704 256256 256564 260876 263296 268912 272272 275968 276848 285376 285719 290521 293216 294151 298144 303212 307328 308308 311168 316778 326144 326536 332024 335104 340736 343343 346528 352352 362032 369754 373184 374374 379456 392392 396032 402688 403172 422576 426496 427856 433664 436982 448448 448987 456533 460768 470596 476476 482944 484484 499408 512512 513128 521752 526592 530621 537824 539539 544544 553696 570752 571438 581042 586432 588302 596288 606424 614656 616616 622336 633556 653072 664048 670208 681472 686686 693056 704704 705551 724064 739508 746368 748748 758912 784784 792064 805376 806344 823543 833833 845152 847847 855712 873964 896896 897974 913066 921536 941192 952952 965888 968968 998816 1026256 1043504 1053184 1061242 1075648 1079078 1089088 1107392 1108723 1141504 1142876 1162084 1172864 1176604 1192576 1212848 1229312 1233232 1244672 1267112 1294139 1306144 1310309 1328096 1373372 1386112 1409408 1411102 1448128 1479016 1492736 1497496 1517824 1529437 1569568 1612688 1647086 1667666 1690304 1695694 1711424 1747928 1793792 1795948 1826132 1843072 1882384 1905904 1931776 1937936 1997632 2000033 2033647 2052512 2059057 2087008 2122484 2151296 2158156 2178176 2214784 2217446 2283008 2285752 2324168 2345728 2353208 2385152 2403401 2425696 2466464 2534224 2588278 2612288 2620618 2656192 2746744 2772224 2818816 2822204 2896256 2958032 2985472 2994992 3035648 3058874 3139136 3142909 3195731 3225376 3294172 3335332 3380608 3391388 3422848 3495856 3587584 3591896 3652264 3686144 3714347 3764768 3776773 3811808 3875872 3995264 4000066 4067294 4105024 4118114 4174016 4244968 4302592 4316312 4356352 4429568 4434892 4571504 4648336 4691456 4706416 4770304 4806802 4851392 4932928 4938857 5068448 5176556 5224576 5241236 5312384 5493488 5544448 5637632 5644408 5764801 5792512 5836831 5916064 5934929 5989984 6117748 6278272 6285818 6391462 6450752 6588344 6670664 6761216 6782776 6845696 6991712 7183792 7304528 7372288 7428694 7529536 7553546 7623616 7751744 7761061 7990528 8000132 8134588 8210048 8236228 8348032 8489936 8605184 8632624 8712704 8859136 8869784 9058973 9143008 9172163 9296672 9412832 9613604 9702784 9865856 9877714 10136896 10353112 10449152 10482472 10624768 10706059 10986976 11288816 11529602 11585024 11673662 11832128 11869858 11979968 12235496 12556544 12571636 12782924 12901504 13176688 13341328 13522432 13565552 13691392 13983424 14000231 14235529 14367584 14413399 14609056 14857388 15059072 15107092 15247232 15503488 15522122 15981056 16000264 16269176 16420096 16472456 16696064 16823807 16979872 17265248 17739568 18117946 18286016 18344326 18593344 18825664 19227208 19405568 19731712 19755428 20273792 20706224 20898304 20964944 21249536 21412118 21973952 22000363 22370117 22577632 23059204 23347324 23664256 23739716 23959936 24470992 25113088 25143272 25565848 25803008 26000429 26353376 26437411 26682656 27131104 27966848 28000462 28471058 28735168 28826798 29218112 29714776 30118144 30214184 30494464 31006976 31044244 32000528 32538352 32840192 32944912 33392128 33647614 33959744 34530496 34571999 35479136 36235892 36572032 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392398474468 397725150592 398993406812 402694644352 422075670016 422582972504 429685207336 433671155456 444333566677 448455399392 455992464928 470038814336 482951968576 484491993986 491068808384 499416240232 507809790488 512520456448 521134245632 521760608908 546872082064 551945106944 553705135984 561221495296 570761417408 580354046272 581051587193 596297838752 614666141824 616626174164 624996665216 632805869696 646303369712 652298762752 663261767168 664058956792 681483244288 686697330319 698238461921 704715627616 738632422528 751949112838 758924522048 784796948936 795450301184 797986813624 805389288704 845165945008 859370414672 867342310912 888667133354 896910798784 911984929856 913081065589 940077628672 965903937152 968983987972 982137616768 998832480464 1015619580976 1025040912896 1042268491264 1043521217816 1079095804787 1093744164128 1107410271968 1141522834816 1160708092544 1162103174386 1192595677504 1229332283648 1233252348328 1249993330432 1265611739392 1292606739424 1328117913584 1362966488576 1373394660638 1396476923842 1409431255232 1477264845056 1503898225676 1517849044096 1569593897872 1590900602368 1595973627248 1610778577408 1690331890016 1695721978951 1718740829344 1777334266708 1793821597568 1823969859712 1826162131178 1880155257344 1931807874304 1937967975944 1964275233536 1997664960928 2031239161952 2087042435632 2158191609574 2187488328256 2214820543936 2283045669632 2321416185088 2324206348772 2385191355008 2458664567296 2466504696656 2499986660864 2531223478784 2585213478848 2656235827168 2746789321276 2792953847684 2818862510464 2954529690112 3007796451352 3035698088192 3139187795744 3191947254496 3380663780032 3391443957902 3437481658688 3554668533416 3587643195136 3647939719424 3652324262356 3863615748608 3875935951888 3928550467072 3995329921856 4062478323904 4174084871264 4316383219148 4374976656512 4429641087872 4566091339264 4642832370176 4648412697544 4770382710016 4887669233447 4933009393312 5170426957696 5312471654336 5493578642552 5585907695368 5637725020928 6015592902704 6071396176384 6278375591488 6383894508992 6391567459123 6761327560064 6782887915804 6874963317376 7109337066832 7175286390272 7295879438848 7304648524712 7553670633509 7751871903776 7990659843712 8124956647808 8348169742528 8632766438296 8749953313024 8859282175744 9296825395088 9540765420032 9775338466894 9866018786624 10340853915392 10624943308672 10987157285104 11171815390736 11275450041856 11870053852657 12031185805408 12556751182976 12767789017984 12783134918246 13522655120128 13565775831608 13749926634752 14218674133664 14609297049424 15107341267018 15503743807552 15981319687424 16249913295616 16696339485056 17265532876592 17499906626048 17718564351488 18593650790176 19550676933788 19732037573248 20681707830784 21249886617344 21974314570208 22343630781472 23740107705314 24062371610816 25113502365952 25535578035968 25566269836492 27045310240256 27131551663216 27499853269504 28437348267328 29218594098848 30214682534036 31007487615104 31962639374848 32499826591232 33392678970112 34531065753184 37187301580352 39101353867576 39464075146496 42499773234688 43948629140416 44687261562944 47480215410628 48124743221632 50227004731904 51071156071936 51132539672984 54263103326432 56874696534656 58437188197696 60429365068072 62014975230208 66785357940224 69062131506368 74374603160704 78202707735152 78928150292992 83090376968599 87897258280832 89374523125888 94960430821256 96249486443264 102265079345968 108526206652864 113749393069312 116874376395392 120858730136144 124029950460416 138124263012736 148749206321408 156405415470304 166180753937198 175794516561664 178749046251776 189920861642512 192498972886528 204530158691936 217052413305728 227498786138624 233748752790784 241717460272288 276248526025472 297498412642816 312810830940608 332361507874396 351589033123328 357498092503552 379841723285024 409060317383872 434104826611456 467497505581568 483434920544576 552497052050944 625621661881216 664723015748792 759683446570048 818120634767744 868209653222912 966869841089152 1251243323762432 1329446031497584 1519366893140096 1636241269535488 1933739682178304 2502486647524864 2658892062995168 3038733786280192 3272482539070976 3867479364356608 5317784125990336 6077467572560384 10635568251980672 21271136503961344 42542273007922688
- Sum of all divisors σ(n): 124378249646474208
- Sum of proper divisors (its aliquot sum) s(n): 81835976638551520
- 42542273007922688 is an abundant number, because the sum of its proper divisors (81835976638551520) is greater than itself. Its abundance is 39293703630628832
Bases of 42542273007922688
- Binary: 100101110010001111111000110011101001001100101110000000002
- Hexadecimal: 0x9723F8CE932E00
- Base-36: BMVZ6EZZ7Y8
Squares and roots of 42542273007922688
- 42542273007922688 squared (425422730079226882) is 1809844992680627311642416985145344
- 42542273007922688 cubed (425422730079226883) is 76994919780641086108518675596311806466119195164672
-
The
square root of 42542273007922688 is 206257782.9026645191 -
The
cube root of 42542273007922688 is 349092.2682451347
Scales and comparisons
How big is 42542273007922688?- 42,542,273,007,922,688 seconds is equal to 1,352,712,689 years, 39 weeks, 4 days, 4 hours, 18 minutes, 8 seconds.
-
To count from 1 to 42,542,273,007,922,688 would take you about four billion, fifty-eight million, one hundred thirty-eight thousand and sixty-nine 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 42542273007922688 cubic inches would be around 29091 feet tall.
Recreational maths with 42542273007922688
- 42542273007922688 backwards is 88622970037224524
- The number of decimal digits it has is: 17
- The sum of 42542273007922688's digits is 71
- More coming soon!
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MLA style:
"Number 42542273007922688 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
APA style:
Numbermatics. (2024). Number 42542273007922688 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/42542273007922688/
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Numbermatics. 2024. "Number 42542273007922688 - Facts about the integer". https://numbermatics.com/n/42542273007922688/
The information we have on file for 42542273007922688 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!
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