42013816992224

Names of 42013816992224

• Cardinal: 42013816992224 can be written as Forty-two trillion, thirteen billion, eight hundred sixteen million, nine hundred ninety-two thousand, two hundred twenty-four.

Scientific notation

• Scientific notation: 4.2013816992224 × 10¹³

Factors of 42013816992224

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 1222

Divisors of 42013816992224

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 4 7 8 11 14 16 22 28 31 32 44 49 56 62 77 79 88 98 112 124 151 154 158 176 196 217 224 248 302 308 316 341 343 352 392 434 496 539 553 604 616 632 682 686 784 868 869 941 992 1057 1078 1106 1208 1232 1264 1364 1372 1519 1568 1661 1736 1738 1882 2114 2156 2212 2387 2416 2449 2464 2528 2728 2744 3038 3322 3472 3476 3764 3773 3871 4228 4312 4424 4681 4774 4832 4898 5456 5488 6076 6083 6587 6644 6944 6952 7399 7528 7546 7742 8456 8624 8848 9362 9548 9796 10351 10633 10912 10976 11627 11929 12152 12166 13174 13288 13904 14798 15056 15092 15484 16709 16912 17143 17248 17696 18724 19096 19592 20702 21266 23254 23858 24304 24332 26348 26576 26939 27097 27808 29171 29596 30112 30184 30968 32767 33418 33824 34286 37448 38192 39184 41404 42532 42581 46109 46508 47716 48608 48664 51491 51793 52696 53152 53878 54194 58342 59192 60368 61936 65534 66836 68572 72457 74339 74896 76384 78368 81389 82808 83503 85064 85162 92218 93016 95432 97328 102982 103586 105392 107756 108388 116684 116963 118384 120001 120736 123872 131068 131219 133672 137144 142091 144914 148678 149792 162778 165616 167006 170128 170324 184436 186032 188573 190864 194656 204197 205964 207172 210784 215512 216776 229369 233368 233926 236768 240002 262136 262438 267344 274288 284182 289828 297356 298067 320881 322763 325556 331232 334012 340256 340648 360437 368872 369799 372064 377146 381728 408394 411928 414344 431024 433552 458738 466736 467852 480004 507199 520373 524272 524876 534688 548576 568364 569723 579656 584521 594712 596134 641762 645526 651112 668024 681296 720874 737744 739598 754292 816788 817729 823856 828688 840007 862048 867104 917476 918533 933472 935704 960008 994637 1014398 1040746 1048544 1049752 1136728 1139446 1159312 1169042 1189424 1192268 1283524 1291052 1302224 1320011 1336048 1362592 1429379 1441748 1475488 1479196 1508584 1563001 1605583 1633576 1635458 1647712 1657376 1680014 1834952 1837066 1871408 1920016 1989274 2028796 2081492 2099504 2246167 2273456 2278892 2304509 2318624 2338084 2378848 2384536 2523059 2567048 2582104 2588593 2604448 2640022 2672096 2858758 2883496 2958392 3017168 3126002 3211166 3267152 3270916 3360028 3550393 3642611 3669904 3674132 3742816 3840032 3978548 4057592 4067789 4091647 4162984 4199008 4404821 4492334 4546912 4557784 4609018 4676168 4769072 5046118 5134096 5164208 5177186 5280044 5717516 5724103 5766992 5916784 6034336 6252004 6422332 6429731 6534304 6541832 6720056 6962459 7100786 7285222 7339808 7348264 7957096 8115184 8135578 8183294 8325968 8809642 8984668 9115568 9218036 9240077 9352336 9538144 10005653 10092236 10268192 10328416 10354372 10560088 10941007 11225189 11435032 11448206 11533984 11833568 12504008 12844664 12859462 13083664 13440112 13924918 14201572 14570444 14696528 15723169 15914192 16131563 16230368 16271156 16366588 16651936 17619284 17661413 17969336 18120151 18231136 18436072 18480154 18704672 20011306 20184472 20708744 21120176 21882014 22450378 22870064 22896412 25008016 25349599 25498277 25689328 25718924 26167328 26880224 27849836 28403144 28474523 29140888 29393056 30833747 31446338 31828384 32263126 32542312 32733176 35238568 35322826 35938672 36240302 36872144 36960308 40022612 40068721 40368944 41417488 42240352 43764028 44900756 45008117 45740128 45792824 48453031 48737213 50016032 50699198 50996554 51378656 51437848 55699672 56806288 56949046 58281776 61667494 62892676 64526252 65084624 65466352 70477136 70645652 71877344 72480604 73744288 73920616 76587049 78576323 80045224 80137442 80737888 82834976 87528056 89801512 90016234 91585648 96906062 97474426 101398396 101993108 102875696 110062183 111399344 112920941 113612576 113898092 116563552 123334988 123477079 125785352 126841057 129052504 130169248 130932704 140954272 141291304 144961208 147841232 153174098 157152646 160090448 160274884 175056112 177447193 179603024 180032468 183171296 193812124 194948852 199321661 202796792 203986216 205751392 215836229 220124366 222798688 225841882 227796184 246669976 246954158 251570704 253682114 258105008 280481047 282582608 289922416 295682464 306348196 314305292 320180896 320549768 339171217 347980859 350112224 354894386 359206048 360064936 387624248 389897704 398643322 405593584 407972432 431672458 440248732 451683764 455592368 493339952 493908316 503141408 507364228 516210016 536109343 550034261 560962094 565165216 579844832 612696392 628610584 641099536 678342434 695961718 709788772 720129872 775248496 779795408 790446587 797286644 811187168 815944864 863344916 864339553 880497464 903367528 911184736 986679904 987816632 1014728456 1072218686 1100068522 1121924188 1225392784 1242130351 1257221168 1282199072 1356684868 1391923436 1395251627 1419577544 1440259744 1510853603 1550496992 1559590816 1580893174 1594573288 1726689832 1728679106 1760994928 1806735056 1975633264 2029456912 2144437372 2200137044 2243848376 2374198519 2435866013 2450785568 2484260702 2514442336 2713369736 2783846872 2790503254 2839155088 3021707206 3161786348 3189146576 3453379664 3457358212 3521989856 3613470112 3827789449 3850239827 3951266528 4058913824 4288874744 4400274088 4487696752 4748397038 4871732026 4968521404 5426739472 5567693744 5581006508 5678310176 6043414412 6050376871 6323572696 6378293152 6906759328 6914716424 7655578898 7700479654 8577749488 8694912457 8800548176 8975393504 9496794076 9743464052 9937042808 10853478944 11135387488 11162013016 12086828824 12100753742 12647145392 13829432848 15311157796 15400959308 16619389633 17051062091 17155498976 17389824914 17601096352 18993588152 19486928104 19874085616 22324026032 24173657648 24201507484 25294290784 26794526143 27658865696 30622315592 30801918616 33238779266 34102124182 34779649828 37987176304 38973856208 39748171232 42352638097 44648052064 48347315296 48403014968 53589052286 61244631184 61603837232 66477558532 68204248364 69559299656 75974352608 77947712416 84705276194 96806029936 107178104572 119357434637 122489262368 123207674464 132955117064 136408496728 139118599312 169410552388 187561683001 193612059872 214356209144 238714869274 265910234128 272816993456 278237198624 338821104776 375123366002 428712418288 477429738548 531820468256 545633986912 677642209552 750246732004 857424836576 954859477096 1312931781007 1355284419104 1500493464008 1909718954192 2625863562014 3000986928016 3819437908384 5251727124028 6001973856032 10503454248056 21006908496112 42013816992224
• Sum of all divisors σ(n): 110845034496000
• Sum of proper divisors (its aliquot sum) s(n): 68831217503776
• 42013816992224 is an abundant number, because the sum of its proper divisors (68831217503776) is greater than itself. Its abundance is 26817400511552

Bases of 42013816992224

• Binary: 1001100011011000011010101000110011000111100000₂
• Hexadecimal: 0x26361AA331E0
• Base-36: EW4VPVEU8

Squares and roots of 42013816992224

• 42013816992224 squared (42013816992224²) is 1765160818256090118076466176
• 42013816992224 cubed (42013816992224³) is 74161143580055738833613685166991191015424
• The square root of 42013816992224 is 6481806.6148431179
• The cube root of 42013816992224 is 34764.0777954815

Scales and comparisons

• 42,013,816,992,224 seconds is equal to 1,335,909 years, 22 weeks, 3 minutes, 44 seconds.
• To count from 1 to 42,013,816,992,224 would take you about three million, three hundred thirty-nine thousand, seven hundred seventy-three 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 42013816992224 cubic inches would be around 2897 feet tall.

Recreational maths with 42013816992224

• 42013816992224 backwards is 42229961831024
• The number of decimal digits it has is: 14
• The sum of 42013816992224's digits is 53
• More coming soon!