32948491200768

Names of 32948491200768

• Cardinal: 32948491200768 can be written as Thirty-two trillion, nine hundred forty-eight billion, four hundred ninety-one million, two hundred thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 3.2948491200768 × 10¹³

Factors of 32948491200768

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 8670

Divisors of 32948491200768

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 29 32 33 36 39 44 48 52 58 64 66 72 78 87 88 96 99 104 116 117 128 132 143 144 156 174 176 192 198 208 232 234 256 261 264 286 288 312 319 348 352 377 384 396 416 421 429 464 468 522 528 572 576 624 638 696 704 754 768 792 832 842 858 928 936 957 1044 1056 1131 1144 1152 1248 1263 1276 1287 1392 1408 1508 1584 1664 1684 1716 1856 1872 1914 2088 2112 2262 2288 2304 2496 2526 2552 2574 2784 2816 2871 3016 3168 3328 3368 3393 3432 3712 3744 3789 3828 4147 4176 4224 4524 4576 4631 4992 5052 5104 5148 5473 5568 5742 6032 6336 6736 6786 6864 7424 7488 7578 7656 8191 8294 8352 8448 9048 9152 9262 9984 10104 10208 10296 10946 11136 11484 12064 12209 12441 12672 13472 13572 13728 13893 14976 15156 15312 16382 16419 16588 16704 18096 18304 18524 20208 20416 20592 21892 22272 22968 24128 24418 24573 24882 25344 26944 27144 27456 27786 29952 30312 30624 32764 32838 33176 33408 36192 36608 36627 37048 37323 40416 40832 41184 41679 43784 45936 48256 48836 49146 49257 49764 53888 54288 54912 55572 60203 60624 61248 65528 65676 66352 66816 72384 73254 73719 74096 74646 80832 81664 82368 83358 87568 90101 91872 96512 97672 98292 98514 99528 106483 107776 108576 109824 109881 111144 120406 121248 122496 131056 131352 132704 134299 144768 146508 147438 148192 149292 158717 161664 164736 166716 175136 180202 180609 183744 195344 196584 197028 199056 212966 217152 219762 222288 237539 240812 242496 244992 262112 262704 265408 268598 270303 289536 293016 294876 296384 298584 317434 319449 323328 329472 333432 350272 360404 361218 367488 390688 393168 394056 398112 402897 425932 434304 439524 444576 475078 476151 481624 484992 524224 525408 530816 537196 540606 541827 586032 589752 592768 597168 634868 638898 666864 700544 712617 720808 722436 734976 781376 786336 788112 796224 805794 810909 851864 868608 879048 889152 950156 952302 958347 963248 969984 1048448 1050816 1061632 1074392 1081212 1083654 1171313 1172064 1179504 1185536 1194336 1208691 1269736 1277796 1333728 1401088 1425234 1428453 1441616 1444872 1562752 1572672 1576224 1592448 1611588 1621818 1703728 1745887 1758096 1778304 1900312 1904604 1916694 1926496 2096896 2101632 2137851 2148784 2162424 2167308 2342626 2344128 2359008 2388672 2417382 2539472 2555592 2612929 2667456 2850468 2856906 2883232 2889744 3088007 3125504 3145344 3152448 3184896 3223176 3243636 3407456 3448411 3491774 3513939 3516192 3556608 3800624 3809208 3833388 3852992 4203264 4275702 4297568 4324848 4334616 4685252 4688256 4718016 4777344 4834764 5078944 5111184 5225858 5237661 5334912 5700936 5713812 5766464 5779488 6176014 6290688 6304896 6446352 6487272 6814912 6896822 6983548 7027878 7032384 7601248 7618416 7666776 7705984 7838787 8551404 8595136 8649696 8669232 9264021 9370504 9376512 9436032 9554688 9669528 10157888 10222368 10345233 10451716 10475322 10541817 10669824 11401872 11427624 11532928 11558976 12352028 12609792 12892704 12974544 13629824 13793644 13967096 14055756 14064768 15202496 15236832 15333552 15411968 15677574 15712983 17102808 17190272 17299392 17338464 18528042 18741008 18872064 19339056 20315776 20444736 20690466 20903432 20950644 21083634 22803744 22855248 23065856 23117952 23516361 24704056 25785408 25949088 27259648 27587288 27792063 27934192 28111512 28129536 30404992 30473664 30667104 31035699 31355148 31425966 33968077 34205616 34380544 34598784 34676928 37056084 37482016 37932521 38678112 40631552 40889472 41380932 41806864 41901288 42167268 44829343 45607488 45710496 46235904 47032722 49408112 51570816 51898176 55174576 55584126 55868384 56223024 60809984 60947328 61334208 62071398 62710296 62851932 67936154 68411232 69197568 69353856 74112168 74964032 75865042 77356224 81778944 82761864 83613728 83802576 84334536 89658686 91214976 91420992 94065444 98816224 100003919 101904231 103141632 103796352 110349152 111168252 111736768 112446048 113797563 121894656 122668416 124142796 125420592 125703864 134488029 135872308 136822464 138707712 148224336 149928064 151730084 154712448 165523728 167227456 167605152 168669072 179317372 182429952 182841984 188130888 197632448 200007838 203808462 207592704 220698304 222336504 223473536 224892096 227595126 245336832 248285592 250841184 251407728 268976058 271744616 273644928 296448672 299856128 300011757 303460168 305712693 309424896 331047456 334454912 335210304 337338144 341392689 358634744 365683968 376261776 395264896 400015676 403464087 407616924 441396608 444673008 446947072 449784192 455190252 493122773 496571184 501682368 502815456 537952116 543489232 547289856 592897344 600023514 606920336 611425386 662094912 668909824 670420608 674676288 682785378 717269488 752523552 790529792 800031352 806928174 815233848 882793216 889346016 899568384 900035271 910380504 986245546 993142368 1003364736 1005630912 1075904232 1086978464 1100043109 1185794688 1200047028 1213840672 1222850772 1300050947 1324189824 1340841216 1349352576 1365570756 1434538976 1479368319 1505047104 1600062704 1613856348 1630467696 1778692032 1800070542 1820761008 1972491092 1986284736 2006729472 2011261824 2151808464 2173956928 2200086218 2371589376 2400094056 2427681344 2445701544 2600101894 2648379648 2698705152 2731141512 2869077952 2958736638 3010094208 3200125408 3227712696 3260935392 3300129327 3557384064 3600141084 3641522016 3900152841 3944982184 3972569472 4022523648 4303616928 4347913856 4400172436 4438104957 4800188112 4855362688 4891403088 5200203788 5462283024 5738155904 5917473276 6020188416 6400250816 6455425392 6521870784 6600258654 7114768128 7200282168 7283044032 7800305682 7889964368 7945138944 8607233856 8695827712 8800344872 8876209914 9600376224 9710725376 9782806176 9900387981 10400407576 10924566048 11476311808 11700458523 11834946552 12800501632 12910850784 13043741568 13200517308 14300560417 14400564336 14566088064 15600611364 15779928736 17214467712 17600689744 17752419828 19200752448 19565612352 19800775962 20800815152 21849132096 23400917046 23669893104 25601003264 25821701568 26087483136 26401034616 28601120834 28801128672 29132176128 31201222728 31559857472 34428935424 35201379488 35504839656 38401504896 39131224704 39601551924 41601630304 42901681251 43698264192 46801834092 47339786208 51643403136 52802069232 57202241668 57602257344 62402445456 63119714944 70402758976 71009679312 76803009792 78262449408 79203103848 83203260608 85803362502 87396528384 93603668184 94679572416 103286806272 105604138464 114404483336 115204514688 124804890912 126239429888 128705043753 140805517952 142019358624 158406207696 166406521216 171606725004 187207336368 189359144832 211208276928 228808966672 230409029376 249609781824 257410087506 281611035904 284038717248 316812415392 332813042432 343213450008 374414672736 378718289664 422416553856 457617933344 499219563648 514820175012 568077434496 633624830784 686426900016 748829345472 844833107712 915235866688 998439127296 1029640350024 1136154868992 1267249661568 1372853800032 1497658690944 1830471733376 2059280700048 2534499323136 2745707600064 2995317381888 3660943466752 4118561400096 5491415200128 8237122800192 10982830400256 16474245600384 32948491200768
• Sum of all divisors σ(n): 115743652577280
• Sum of proper divisors (its aliquot sum) s(n): 82795161376512
• 32948491200768 is an abundant number, because the sum of its proper divisors (82795161376512) is greater than itself. Its abundance is 49846670175744

Bases of 32948491200768

• Binary: 111011111011101101011000111010010100100000000₂
• Hexadecimal: 0x1DF76B1D2900
• Base-36: BOGBSYF40

Squares and roots of 32948491200768

• 32948491200768 squared (32948491200768²) is 1085603072407086322483789824
• 32948491200768 cubed (32948491200768³) is 35768983278731589673606153454381099384832
• The square root of 32948491200768 is 5740077.6302039679
• The cube root of 32948491200768 is 32058.6461002655

Scales and comparisons

• 32,948,491,200,768 seconds is equal to 1,047,660 years, 5 weeks, 2 days, 18 hours, 52 minutes, 48 seconds.
• To count from 1 to 32,948,491,200,768 would take you about two million, six hundred nineteen thousand, one hundred fifty 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 32948491200768 cubic inches would be around 2671.6 feet tall.

Recreational maths with 32948491200768

• 32948491200768 backwards is 86700219484923
• The number of decimal digits it has is: 14
• The sum of 32948491200768's digits is 63
• More coming soon!