13829220966216

Names of 13829220966216

• Cardinal: 13829220966216 can be written as Thirteen trillion, eight hundred twenty-nine billion, two hundred twenty million, nine hundred sixty-six thousand, two hundred sixteen.

Scientific notation

• Scientific notation: 1.3829220966216 × 10¹³

Factors of 13829220966216

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 2015

Divisors of 13829220966216

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 6 8 12 17 19 23 24 31 34 38 43 46 51 57 62 68 69 76 86 92 93 102 114 124 129 136 138 152 172 184 186 204 228 248 258 276 323 344 372 391 408 437 456 516 527 552 589 646 713 731 744 782 817 874 961 969 989 1032 1054 1173 1178 1292 1311 1333 1426 1462 1564 1581 1634 1748 1767 1877 1922 1938 1978 2108 2139 2193 2346 2356 2451 2584 2622 2666 2852 2883 2924 2967 3128 3162 3268 3496 3534 3754 3844 3876 3956 3999 4216 4278 4386 4692 4712 4902 5244 5332 5631 5704 5766 5848 5934 6324 6536 7068 7429 7508 7688 7752 7912 7998 8556 8772 9384 9804 10013 10488 10664 11262 11532 11868 12121 12648 13547 13889 14136 14858 15016 15996 16337 16813 17112 17544 18259 18791 19608 20026 22103 22287 22524 22661 23064 23736 24242 25327 27094 27778 29716 30039 30659 31909 31992 32674 33626 35663 36363 36518 37582 40052 40641 41323 41667 43171 44206 44574 45048 45322 48484 49011 50439 50654 54188 54777 55556 56373 58187 59432 60078 61318 63818 65348 66309 67252 67983 71326 72726 73036 75164 75981 80104 80711 81282 82646 83334 86342 88412 89148 90644 91977 95727 96968 98022 100878 101308 106989 108376 109554 111112 112746 116374 120156 122636 123969 127636 129513 130696 132618 134504 135966 142652 145452 146072 150328 151962 161422 162564 165292 166668 172684 174561 176824 178296 181288 183954 191454 196044 201756 202616 213978 219108 225492 230299 232748 240312 242133 245272 247938 255272 259026 265236 271932 285304 290904 303924 310403 319447 322844 325128 330584 333336 345368 349122 367908 375751 382908 392088 403512 419957 427956 430559 438216 450984 460598 465496 484266 495876 518052 521203 530472 543864 582521 606271 607848 620806 638894 645688 690897 698244 702491 733907 735816 751502 765816 785137 820249 839914 855912 861118 921196 931209 950429 958341 968532 989179 991752 1036104 1042406 1105553 1127253 1165042 1212542 1241612 1259871 1277788 1291677 1338301 1372087 1381794 1396488 1404982 1467814 1503004 1533509 1563609 1570274 1640498 1679828 1722236 1747563 1803797 1818813 1842392 1856353 1862418 1900858 1916682 1937064 1978358 2084812 2107473 2201721 2211106 2254506 2330084 2355411 2425084 2460747 2483224 2502041 2519742 2555576 2583354 2676602 2744174 2763588 2809964 2851287 2935628 2967537 3006008 3067018 3127218 3140548 3280996 3316659 3359656 3444472 3495126 3607594 3637626 3712706 3724836 3801716 3833364 3956716 4014903 4116261 4169624 4214946 4403442 4422212 4509012 4600527 4660168 4710822 4850168 4921494 5004082 5039484 5166708 5353204 5411391 5488348 5527176 5569059 5619928 5702574 5871256 5935074 6134036 6254436 6281096 6561992 6633318 6990252 7139269 7215188 7275252 7425412 7449672 7506123 7603432 7666728 7913432 8029806 8232522 8429892 8806884 8844424 9018024 9201054 9421644 9842988 9902857 10008164 10078968 10333416 10706408 10822782 10976696 11138118 11405148 11870148 12268072 12508872 13266636 13347329 13944233 13980504 14278538 14430376 14550504 14850824 15012246 16059612 16157293 16465044 16859784 17613768 18058151 18402108 18794401 18843288 19685976 19805714 20016328 21417807 21645564 22276236 22751117 22810296 23740296 25427719 26069653 26533272 26694658 27888466 28557076 29708571 30024492 30664549 31558001 32119224 32314586 32930088 34272143 35270707 36116302 36804216 37588802 39611428 40041987 41487331 41832699 42534697 42835614 43291128 44552472 45502234 47538779 48471879 50855438 52139306 53389316 54174453 55776932 56383203 57114152 57546943 59417142 60048984 61329098 63116002 64629172 68253351 68544286 70541414 72232604 75177604 76283157 77563271 78208959 79222856 80083974 82974662 83665398 85069394 85671228 91004468 91993647 94674003 95077558 96943758 101710876 102816429 104278612 105812121 106778632 108348906 111553864 112766406 115093886 118834284 122658196 124461993 126232004 127604091 129258344 136506702 137088572 141082828 142616337 144465208 150355208 152566314 155126542 156417918 160167948 165949324 167330796 170138788 171342456 172640829 182008936 183987294 189348006 190155116 193887516 203421752 205632858 208557224 211624242 216697812 225532812 230187772 232689813 237668568 245316392 248923986 252464008 255208182 273013404 274177144 282165656 285232674 305132628 306988567 310253084 312835836 320335896 331898648 334661592 340277576 345281658 367974588 378696012 380310232 387775032 411265716 423248484 432271223 433395624 451065624 460375544 465379626 497847972 510416364 546026808 570465348 582626431 599602019 610265256 613977134 620506168 625671672 690563316 705284627 735949176 757392024 788259289 808159243 822531432 846496968 864542446 920965701 930759252 978298031 995695944 1020832728 1093391917 1140930696 1165252862 1199204038 1227954268 1296813669 1318575607 1381126632 1410569254 1473702149 1576518578 1616318486 1729084892 1747879293 1783955233 1798806057 1841931402 1861518504 1956596062 2115853881 2186783834 2330505724 2364777867 2398408076 2424477729 2455908536 2593627338 2637151214 2821138508 2934894093 2947404298 3153037156 3232636972 3280175751 3458169784 3495758586 3567910466 3597612114 3683862804 3913192124 3955726821 4231707762 4373567668 4421106447 4661011448 4729555734 4796816152 4848955458 5187254676 5274302428 5351865699 5642277016 5869788186 5894808596 6306074312 6465273944 6560351502 6991517172 7135820932 7195224228 7367725608 7826384248 7911453642 8463415524 8747135336 8842212894 9459111468 9697910916 10374509352 10548604856 10703731398 11739576372 11789617192 13120703004 13400407913 13983034344 14271641864 14390448456 15822907284 16926831048 17684425788 18587662589 18918222936 19395821832 21407462796 23479152744 25052936533 26241406008 26800815826 30327238961 31645814568 33895149427 35368851576 37175325178 40201223739 42814925592 50105873066 53601631652 55762987767 60654477922 67790298854 74350650356 75158809599 80402447478 90981716883 100211746132 101685448281 107203263304 111525975534 121308955844 135580597708 148701300712 150317619198 160804894956 181963433766 200423492264 203370896562 223051951068 242617911688 271161195416 300635238396 321609789912 363926867532 406741793124 446103902136 576217540259 601270476792 727853735064 813483586248 1152435080518 1728652620777 2304870161036 3457305241554 4609740322072 6914610483108 13829220966216
• Sum of all divisors σ(n): 42536573798400
• Sum of proper divisors (its aliquot sum) s(n): 28707352832184
• 13829220966216 is an abundant number, because the sum of its proper divisors (28707352832184) is greater than itself. Its abundance is 14878131865968

Bases of 13829220966216

• Binary: 11001001001111011101110011011001111101001000₂
• Hexadecimal: 0xC93DDCD9F48
• Base-36: 4WH213PZC

Squares and roots of 13829220966216

• 13829220966216 squared (13829220966216²) is 191247352532428196613358656
• 13829220966216 cubed (13829220966216³) is 2644801897374758639642034211701267165696
• The square root of 13829220966216 is 3718766.0542464889
• The cube root of 13829220966216 is 24003.0210121987

Scales and comparisons

• 13,829,220,966,216 seconds is equal to 439,726 years, 23 weeks, 2 days, 20 hours, 23 minutes, 36 seconds.
• To count from 1 to 13,829,220,966,216 would take you about one million, ninety-nine thousand, three hundred sixteen 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 13829220966216 cubic inches would be around 2000.3 feet tall.

Recreational maths with 13829220966216

• 13829220966216 backwards is 61266902292831
• 13829220966216 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 13829220966216's digits is 57
• More coming soon!