12435909992352

Names of 12435909992352

• Cardinal: 12435909992352 can be written as Twelve trillion, four hundred thirty-five billion, nine hundred nine million, nine hundred ninety-two thousand, three hundred fifty-two.

Scientific notation

• Scientific notation: 1.2435909992352 × 10¹³

Factors of 12435909992352

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 22649

Divisors of 12435909992352

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 32 33 36 42 44 48 54 56 63 66 72 77 81 84 88 96 99 108 112 126 132 144 154 162 168 176 189 198 216 224 231 252 264 288 297 308 324 336 352 378 396 432 462 504 528 567 594 616 648 672 693 756 792 864 891 924 1008 1056 1134 1188 1232 1296 1386 1512 1584 1782 1848 2016 2079 2268 2376 2464 2592 2772 3024 3168 3209 3564 3696 4158 4536 4752 5544 6048 6237 6418 7128 7392 8316 9072 9504 9627 11088 12474 12836 14256 16632 18144 19254 19417 22176 22463 24948 25672 28512 28881 33264 35299 38508 38834 44926 49896 51344 57762 58251 66528 67389 70598 77016 77668 86643 89852 99792 102688 105897 115524 116502 134778 135919 141196 154032 155336 173286 174753 179704 199584 202167 211794 213587 231048 233004 247093 259929 269556 271838 282392 308064 310672 317691 346572 349506 359408 404334 407757 423588 427174 462096 466008 494186 519858 524259 539112 543676 564784 606501 621344 635382 640761 693144 699012 718816 741279 808668 815514 847176 854348 924192 932016 953073 988372 1039716 1048518 1078224 1087352 1129568 1213002 1223271 1270764 1281522 1386288 1398024 1482558 1495109 1572777 1617336 1631028 1694352 1708696 1819503 1864032 1906146 1922283 1976744 2079432 2097036 2156448 2174704 2223837 2426004 2446542 2541528 2563044 2772576 2796048 2859219 2965116 2990218 3145554 3234672 3262056 3388704 3417392 3639006 3669813 3812292 3844566 3953488 4158864 4194072 4349408 4447674 4485327 4852008 4893084 5083056 5126088 5592096 5718438 5766849 5930232 5980436 6291108 6469344 6524112 6671511 6834784 7278012 7339626 7624584 7689132 7906976 8317728 8388144 8895348 8970654 9704016 9786168 10166112 10252176 11009439 11436876 11533698 11860464 11960872 12582216 13048224 13343022 13455981 14556024 14679252 15249168 15378264 16776288 17300547 17790696 17941308 19408032 19572336 20014533 20504352 22018878 22873752 23067396 23720928 23921744 25164432 26686044 26911962 29112048 29358504 30498336 30756528 34601094 35581392 35882616 39144672 40029066 40367943 44037756 45747504 46134792 47843488 50328864 53372088 53823924 58224096 58717008 61513056 62309153 69202188 71162784 71765232 80058132 80735886 88075512 91495008 92269584 106744176 107647848 117434016 121103829 124618306 138404376 143530464 160116264 161471772 176151024 184539168 186927459 213488352 215295696 242207658 249236612 276808752 320232528 322943544 352302048 373854918 430591392 436164071 484415316 498473224 553617504 560782377 640465056 645887088 685400683 747709836 872328142 968830632 996946448 1121564754 1291774176 1308492213 1370801366 1495419672 1682347131 1744656284 1937661264 1993892896 2056202049 2243129508 2616984426 2741602732 2990839344 3364694262 3489312568 3875322528 3925476639 4112404098 4486259016 4797804781 5047041393 5233968852 5483205464 5981678688 6168606147 6729388524 6978625136 7850953278 8224808196 8972518032 9595609562 10094082786 10467937704 10966410928 11776429917 12337212294 13458777048 13957250272 14393414343 15701906556 16449616392 17945036064 18505818441 19191219124 20188165572 20935875408 21932821856 23552859834 24674424588 26917554096 28786828686 31403813112 32899232784 35329289751 37011636882 38382438248 40376331144 41871750816 43180243029 47105719668 49348849176 53835108192 55517455323 57573657372 62807626224 65798465568 70658579502 74023273764 76764876496 80752662288 86360486058 94211439336 98697698352 111034910646 115147314744 125615252448 129540729087 141317159004 148046547528 153529752992 161505324576 172720972116 188422878672 197395396704 222069821292 230294629488 259081458174 282634318008 296093095056 345441944232 376845757344 388622187261 444139642584 460589258976 518162916348 565268636016 592186190112 690883888464 777244374522 888279285168 1036325832696 1130537272032 1381767776928 1554488749044 1776558570336 2072651665392 3108977498088 4145303330784 6217954996176 12435909992352
• Sum of all divisors σ(n): 45614895258240
• Sum of proper divisors (its aliquot sum) s(n): 33178985265888
• 12435909992352 is an abundant number, because the sum of its proper divisors (33178985265888) is greater than itself. Its abundance is 20743075273536

Bases of 12435909992352

• Binary: 10110100111101110101111111110101111110100000₂
• Hexadecimal: 0xB4F75FF5FA0
• Base-36: 4EOZ7Q200

Squares and roots of 12435909992352

• 12435909992352 squared (12435909992352²) is 154651857337880320698491904
• 12435909992352 cubed (12435909992352³) is 1923236578003941854057473761170573918208
• The square root of 12435909992352 is 3526458.5624039311
• The cube root of 12435909992352 is 23168.2122574913

Scales and comparisons

• 12,435,909,992,352 seconds is equal to 395,423 years, 24 weeks, 3 days, 10 hours, 19 minutes, 12 seconds.
• To count from 1 to 12,435,909,992,352 would take you about nine hundred eighty-eight thousand, five hundred fifty-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 12435909992352 cubic inches would be around 1930.7 feet tall.

Recreational maths with 12435909992352

• 12435909992352 backwards is 25329990953421
• 12435909992352 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 12435909992352's digits is 63
• More coming soon!