104768133120
104,768,133,120 is an even composite number composed of seven prime numbers multiplied together.
104768133120 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 104768133120:
211 × 32 × 5 × 7 × 17 × 41 × 233
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 17 × 41 × 233)See below for interesting mathematical facts about the number 104768133120 from the Numbermatics database.
Names of 104768133120
- Cardinal: 104768133120 can be written as One hundred four billion, seven hundred sixty-eight million, one hundred thirty-three thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.0476813312 × 1011
Factors of 104768133120
Divisors of 104768133120
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 20 21 24 28 30 32 34 35 36 40 41 42 45 48 51 56 60 63 64 68 70 72 80 82 84 85 90 96 102 105 112 119 120 123 126 128 136 140 144 153 160 164 168 170 180 192 204 205 210 224 233 238 240 246 252 255 256 272 280 287 288 306 315 320 328 336 340 357 360 369 384 408 410 420 448 466 476 480 492 504 510 512 544 560 574 576 595 612 615 630 640 656 672 680 697 699 714 720 738 765 768 816 820 840 861 896 932 952 960 984 1008 1020 1024 1071 1088 1120 1148 1152 1165 1190 1224 1230 1260 1280 1312 1344 1360 1394 1398 1428 1435 1440 1476 1530 1536 1631 1632 1640 1680 1722 1785 1792 1845 1864 1904 1920 1968 2016 2040 2048 2091 2097 2142 2176 2240 2296 2304 2330 2380 2448 2460 2520 2560 2583 2624 2688 2720 2788 2796 2856 2870 2880 2952 3060 3072 3262 3264 3280 3360 3444 3485 3495 3570 3584 3690 3728 3808 3840 3936 3961 4032 4080 4182 4194 4284 4305 4352 4480 4592 4608 4660 4760 4879 4893 4896 4920 5040 5120 5166 5248 5355 5376 5440 5576 5592 5712 5740 5760 5904 6120 6144 6273 6524 6528 6560 6720 6888 6970 6990 7140 7168 7380 7456 7616 7680 7872 7922 8064 8155 8160 8364 8388 8568 8610 8704 8960 9184 9216 9320 9520 9553 9758 9786 9792 9840 10080 10240 10332 10455 10485 10496 10710 10752 10880 11152 11184 11424 11480 11520 11808 11883 12240 12546 12915 13048 13056 13120 13440 13776 13940 13980 14280 14336 14637 14679 14760 14912 15232 15360 15744 15844 16128 16310 16320 16728 16776 17136 17220 17408 17920 18368 18432 18640 19040 19106 19516 19572 19584 19680 19805 20160 20664 20910 20970 20992 21420 21504 21760 22304 22368 22848 22960 23040 23616 23766 24395 24465 24480 25092 25830 26096 26112 26240 26880 27552 27727 27880 27960 28560 28659 29274 29358 29520 29824 30464 30720 31365 31488 31688 32256 32620 32640 33456 33552 34272 34440 34816 35649 35840 36736 37280 38080 38212 39032 39144 39168 39360 39610 40320 41328 41820 41940 41984 42840 43008 43520 43911 44608 44736 45696 45920 46080 47232 47532 47765 48790 48930 48960 50184 51660 52192 52224 52480 53760 55104 55454 55760 55920 57120 57318 58548 58716 59040 59415 59648 60928 62730 62976 63376 64512 65240 65280 66871 66912 67104 68544 68880 71298 71680 73185 73395 73472 74560 76160 76424 78064 78288 78336 78720 79220 80640 82656 83181 83640 83880 83968 85680 85977 87040 87822 89216 89472 91392 91840 92160 94464 95064 95530 97580 97860 97920 100368 103320 104384 104448 104960 107520 110208 110908 111520 111840 114240 114636 117096 117432 118080 118830 119296 121856 125460 125952 126752 129024 130480 130560 133742 133824 134208 137088 137760 138635 142596 143295 146370 146790 146944 149120 152320 152848 156128 156576 156672 157440 158440 161280 162401 165312 166362 167280 167760 171360 171954 174080 175644 178245 178432 178944 182784 183680 188928 190128 191060 195160 195720 195840 200613 200736 206640 208768 209920 215040 219555 220416 221816 223040 223680 228480 229272 234192 234864 236160 237660 238592 243712 249543 250920 251904 253504 260960 261120 267484 267648 268416 274176 275520 277270 285192 286590 292740 293580 293888 298240 304640 305696 312256 313152 313344 314880 316880 322560 324802 330624 332724 334355 334560 335520 342720 343908 351288 356490 356864 357888 365568 367360 377856 380256 382120 390320 391440 391680 401226 401472 413280 415905 417536 419840 429885 439110 440832 443632 446080 447360 456960 458544 468384 469728 472320 475320 477184 487203 499086 501840 507008 521920 522240 534968 535296 536832 548352 551040 554540 570384 573180 585480 587160 587776 596480 601839 609280 611392 624512 626304 629760 633760 645120 649604 661248 665448 668710 669120 671040 685440 687816 702576 712980 713728 715776 731136 734720 755712 760512 764240 780640 782880 783360 802452 802944 812005 826560 831810 835072 859770 878220 881664 887264 892160 894720 913920 917088 936768 939456 944640 950640 974406 998172 1003065 1003680 1014016 1043840 1069936 1070592 1073664 1096704 1102080 1109080 1136807 1140768 1146360 1170960 1174320 1192960 1203678 1218560 1222784 1247715 1249024 1252608 1259520 1267520 1299208 1322496 1330896 1337420 1338240 1342080 1370880 1375632 1405152 1425960 1427456 1431552 1461609 1469440 1521024 1528480 1561280 1565760 1566720 1604904 1605888 1624010 1653120 1663620 1670144 1719540 1756440 1763328 1774528 1784320 1789440 1827840 1834176 1873536 1878912 1889280 1901280 1948812 1996344 2006130 2007360 2028032 2087680 2139872 2141184 2147328 2193408 2204160 2218160 2273614 2281536 2292720 2341920 2348640 2385920 2407356 2436015 2445568 2495430 2498048 2505216 2535040 2598416 2644992 2661792 2674840 2676480 2684160 2741760 2751264 2810304 2851920 2923218 2938880 3009195 3042048 3056960 3122560 3131520 3209808 3211776 3248020 3306240 3327240 3340288 3410421 3439080 3512880 3549056 3568640 3578880 3655680 3668352 3747072 3757824 3778560 3802560 3897624 3992688 4012260 4014720 4056064 4175360 4279744 4282368 4294656 4408320 4436320 4547228 4563072 4585440 4683840 4697280 4814712 4872030 4891136 4990860 4996096 5010432 5070080 5196832 5289984 5323584 5349680 5352960 5368320 5483520 5502528 5620608 5684035 5703840 5846436 6018390 6084096 6113920 6245120 6263040 6419616 6423552 6496040 6612480 6654480 6820842 6878160 7025760 7098112 7137280 7157760 7308045 7336704 7494144 7515648 7605120 7795248 7985376 8024520 8029440 8112128 8350720 8559488 8816640 8872640 9094456 9126144 9170880 9367680 9394560 9629424 9744060 9782272 9981720 9992192 10020864 10140160 10231263 10393664 10647168 10699360 10705920 10736640 10967040 11005056 11241216 11368070 11407680 11692872 12036780 12168192 12227840 12490240 12526080 12839232 12847104 12992080 13224960 13308960 13641684 13756320 14051520 14196224 14616090 14673408 14988288 15031296 15210240 15590496 15970752 16049040 16058880 16701440 17052105 17118976 17745280 18188912 18252288 18341760 18735360 18789120 19258848 19488120 19564544 19963440 20280320 20462526 20787328 21294336 21398720 21411840 21473280 22010112 22482432 22736140 22815360 23385744 24073560 24336384 24455680 24980480 25052160 25678464 25984160 26449920 26617920 27283368 27512640 28103040 28392448 29232180 29346816 29976576 30062592 30420480 31180992 31941504 32098080 32117760 34104210 34237952 35490560 36377824 36504576 36683520 37470720 37578240 38517696 38976240 39926880 40560640 40925052 41574656 42588672 42797440 44020224 44964864 45472280 45630720 46771488 48147120 48911360 49960960 50104320 51156315 51356928 51968320 53235840 54566736 55025280 56206080 56784896 58464360 58693632 60840960 62361984 63883008 64196160 64235520 68208420 68475904 70981120 72755648 73009152 73367040 74941440 75156480 77035392 77952480 79853760 81850104 83149312 85177344 85594880 88040448 89929728 90944560 91261440 93542976 96294240 97822720 102312630 102713856 103936640 106471680 109133472 110050560 112412160 116928720 121681920 124723968 127766016 128392320 136416840 136951808 141962240 145511296 146734080 149882880 150312960 154070784 155904960 159707520 163700208 166298624 170354688 171189760 176080896 181889120 182522880 187085952 192588480 204625260 205427712 207873280 212943360 218266944 220101120 224824320 233857440 249447936 255532032 256784640 272833680 283924480 291022592 293468160 308141568 311809920 319415040 327400416 332597248 342379520 363778240 365045760 374171904 385176960 409250520 410855424 415746560 425886720 436533888 440202240 449648640 467714880 498895872 511064064 513569280 545667360 582045184 616283136 623619840 638830080 654800832 684759040 727556480 748343808 770353920 818501040 831493120 851773440 873067776 880404480 935429760 997791744 1027138560 1091334720 1164090368 1232566272 1247239680 1277660160 1309601664 1455112960 1496687616 1540707840 1637002080 1662986240 1746135552 1870859520 2054277120 2182669440 2328180736 2494479360 2555320320 2619203328 2910225920 2993375232 3081415680 3274004160 3492271104 3741719040 4365338880 4988958720 5238406656 5820451840 6162831360 6548008320 6984542208 7483438080 8730677760 10476813312 11640903680 13096016640 14966876160 17461355520 20953626624 26192033280 34922711040 52384066560 104768133120
- Sum of all divisors σ(n): 452039253120
- Sum of proper divisors (its aliquot sum) s(n): 347271120000
- 104768133120 is an abundant number, because the sum of its proper divisors (347271120000) is greater than itself. Its abundance is 242502986880
Bases of 104768133120
- Binary: 11000011001001010101011011000000000002
- Hexadecimal: 0x1864AAD800
- Base-36: 1C4O8OW0
Squares and roots of 104768133120
- 104768133120 squared (1047681331202) is 10976361717450040934400
- 104768133120 cubed (1047681331203) is 1149972925587077715564668387328000
-
The
square root of 104768133120 is 323679.0588221611 -
The
cube root of 104768133120 is 4714.2187956815
Scales and comparisons
How big is 104768133120?- 104,768,133,120 seconds is equal to 3,331 years, 15 weeks, 5 days, 3 hours, 12 minutes.
-
To count from 1 to 104,768,133,120 would take you about six thousand, six hundred sixty-two 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 104768133120 cubic inches would be around 392.9 feet tall.
Recreational maths with 104768133120
- 104768133120 backwards is 021331867401
- 104768133120 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 104768133120's digits is 36
- More coming soon!
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The information we have on file for 104768133120 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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