29968389266400
29,968,389,266,400 is an even composite number composed of seven prime numbers multiplied together.
29968389266400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 29968389266400:
25 × 37 × 52 × 13 × 19 × 31 × 2237
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 13 × 19 × 31 × 2237)See below for interesting mathematical facts about the number 29968389266400 from the Numbermatics database.
Names of 29968389266400
- Cardinal: 29968389266400 can be written as Twenty-nine trillion, nine hundred sixty-eight billion, three hundred eighty-nine million, two hundred sixty-six thousand, four hundred.
Scientific notation
- Scientific notation: 2.99683892664 × 1013
Factors of 29968389266400
Divisors of 29968389266400
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 19 20 24 25 26 27 30 31 32 36 38 39 40 45 48 50 52 54 57 60 62 65 72 75 76 78 80 81 90 93 95 96 100 104 108 114 117 120 124 130 135 144 150 152 155 156 160 162 171 180 186 190 195 200 208 216 225 228 234 240 243 247 248 260 270 279 285 288 300 304 310 312 324 325 342 351 360 372 380 390 400 403 405 416 432 450 456 465 468 475 480 486 494 496 513 520 540 558 570 585 589 600 608 620 624 648 650 675 684 702 720 729 741 744 760 775 780 800 806 810 837 855 864 900 912 930 936 950 972 975 988 992 1026 1040 1053 1080 1116 1140 1170 1178 1200 1209 1215 1235 1240 1248 1296 1300 1350 1368 1395 1404 1425 1440 1458 1482 1488 1520 1539 1550 1560 1612 1620 1674 1710 1755 1767 1800 1824 1860 1872 1900 1944 1950 1976 2015 2025 2052 2080 2106 2160 2187 2223 2232 2237 2280 2325 2340 2356 2400 2418 2430 2470 2480 2511 2565 2592 2600 2700 2736 2790 2808 2850 2916 2925 2945 2964 2976 3040 3078 3100 3120 3159 3224 3240 3348 3420 3510 3534 3600 3627 3645 3705 3720 3744 3800 3888 3900 3952 4030 4050 4104 4185 4212 4275 4320 4374 4446 4464 4474 4560 4617 4650 4680 4712 4836 4860 4940 4960 5022 5130 5200 5265 5301 5400 5472 5580 5616 5700 5832 5850 5890 5928 6045 6075 6156 6175 6200 6240 6318 6448 6480 6669 6696 6711 6840 6975 7020 7068 7200 7254 7290 7410 7440 7533 7600 7657 7695 7776 7800 7904 8060 8100 8208 8370 8424 8550 8748 8775 8835 8892 8928 8948 9120 9234 9300 9360 9424 9477 9672 9720 9880 10044 10075 10260 10400 10530 10602 10800 10881 10935 11115 11160 11185 11232 11400 11664 11700 11780 11856 12090 12150 12312 12350 12400 12555 12636 12825 12896 12960 13338 13392 13422 13680 13851 13950 14040 14136 14508 14580 14725 14820 14880 15066 15200 15314 15390 15600 15795 15903 16120 16200 16416 16740 16848 17100 17496 17550 17670 17784 17896 18135 18225 18468 18525 18600 18720 18848 18954 19344 19440 19760 20007 20088 20133 20150 20520 20925 21060 21204 21600 21762 21870 22230 22320 22370 22599 22800 22971 23085 23328 23400 23560 23712 24180 24300 24624 24700 24800 25110 25272 25650 26325 26505 26676 26784 26844 27360 27702 27900 28080 28272 28431 29016 29081 29160 29450 29640 30132 30225 30628 30780 31200 31590 31806 32240 32400 32643 33345 33480 33555 33696 34200 34992 35100 35340 35568 35792 36270 36450 36936 37050 37200 37665 37908 38285 38475 38688 38880 39520 40014 40176 40266 40300 41040 41553 41850 42120 42408 42503 43524 43740 44175 44460 44640 44740 45198 45600 45942 46170 46800 47120 47385 47709 48360 48600 49248 49400 50220 50544 51300 52650 53010 53352 53688 54405 54675 55404 55575 55800 55925 56160 56544 56862 58032 58162 58320 58900 59280 60021 60264 60399 60450 61256 61560 62775 63180 63612 64480 64800 65286 66690 66960 67110 67797 68400 68913 69255 69347 69984 70200 70680 71136 71584 72540 72900 73872 74100 74400 75330 75816 76570 76950 78975 79515 80028 80352 80532 80600 82080 83106 83700 84240 84816 85006 87048 87243 87480 88350 88920 89480 90396 90675 91884 92340 93600 94240 94770 95418 96720 97200 97929 98800 100035 100440 100665 101088 102600 105300 106020 106704 107376 108810 109350 110808 111150 111600 111850 112995 113724 114855 115425 116064 116324 116640 117800 118560 120042 120528 120798 120900 122512 123120 125550 126360 127224 127509 130572 132525 133380 133920 134220 135594 136800 137826 138510 138694 140400 141360 142155 143127 145080 145405 145800 147744 148200 150660 151632 153140 153900 157950 159030 160056 161064 161200 163215 166212 166725 167400 167775 168480 169632 170012 174096 174486 174960 176700 177840 178960 180063 180792 181197 181350 183768 184680 188325 189540 190836 191425 193440 194400 195858 197600 200070 200880 201330 205200 206739 207765 208041 210600 212040 212515 213408 214752 217620 218700 221616 222300 223200 223700 225990 227448 229710 230850 232648 235600 236925 238545 240084 241056 241596 241800 245024 246240 251100 252720 254448 255018 261144 261729 265050 266760 268440 271188 272025 275652 277020 277388 280800 282720 284310 286254 290160 290810 291600 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49617360 49728510 49929840 50553963 51003600 51386127 51525720 51641145 52184736 52345800 52703720 53043744 54018900 54090660 54237600 54359100 55083888 55130400 55253900 55477600 55819530 56171070 56533464 57250800 57379050 58757400 58889025 59291685 59540832 59674212 59915808 61204320 61969374 62021700 62412300 62814960 63244464 63600147 64407150 64908792 65230920 65879650 66304680 66983436 67405284 67613325 68514836 68700960 68854860 69794400 70508880 70666830 71150022 72025200 72120880 72478800 73022391 74426040 74592765 74894760 75377952 76505400 78277104 78343200 78518700 79055580 79565616 81135990 81538650 82625832 82695600 82880850 83216400 83729295 84256605 84800196 85643545 85876200 86068575 86430240 86545056 86974560 88136100 88406240 89311248 89511318 89873712 90151100 91806480 92954061 93032550 93618450 94222440 94866696 97363188 97846380 98819475 99234720 99457020 99859680 101107926 102007200 102772254 103051440 103282290 104691600 105407440 106000245 106725033 108037800 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2774850858 2826673200 2846000880 2881575891 2920895640 2974529952 2983710600 3033237780 3083167620 3098468700 3162223200 3180007350 3201750990 3222407448 3245439600 3286007595 3349171800 3356674425 3370264200 3392007840 3415201056 3425741800 3505074768 3557501100 3580452720 3651119550 3699801144 3718162440 3791547225 3842101188 3853959525 3894527520 3913855200 3943209114 3978280800 4028009310 4044317040 4110890160 4131291600 4162276287 4240009800 4269001320 4296543264 4381343460 4465562400 4475565900 4493685600 4624751430 4647703050 4743334800 4802626485 4833611172 4853180448 4868159400 4933068192 4957549920 5055396300 5088011760 5122801584 5138612700 5257612152 5336251650 5370679080 5476679325 5549701716 5653346400 5692001760 5763151782 5841791280 5967421200 6042013965 6066475560 6166335240 6196937400 6360014700 6403501980 6444814896 6490879200 6572015190 6698343600 6713348850 6740528400 6851483600 6937127145 7010149536 7115002200 7160905440 7302239100 7399602288 7436324880 7583094450 7684202376 7707919050 7886418228 8004377475 8056018620 8088634080 8221780320 8262583200 8324552574 8480019600 8538002640 8762686920 8951131800 9249502860 9295406100 9486669600 9605252970 9667222344 9736318800 9858022785 10070023275 10110792600 10176023520 10245603168 10277225400 10515224304 10672503300 10741358160 10953358650 11099403432 11526303564 11561878575 11683582560 11934842400 12084027930 12132951120 12332670480 12393874800 12486828861 12720029400 12807003960 12889629792 13144030380 13396687200 13426697700 13481056800 13702967200 13874254290 14230004400 14407879455 14604478200 14799204576 14872649760 15166188900 15368404752 15415838100 15772836456 16008754950 16112037240 16430037975 16649105148 16960039200 17076005280 17525373840 17902263600 18499005720 18590812200 19210505940 19334444688 19472637600 19716045570 20140046550 20221585200 20554450800 20811381435 21030448608 21345006600 21482716320 21906717300 22198806864 23052607128 23123757150 24013132425 24168055860 24265902240 24665340960 24787749600 24973657722 25440058800 25614007920 26288060760 26853395400 27748508580 28460008800 28815758910 29208956400 30210069825 30332377800 30736809504 30831676200 31545672912 32017509900 32224074480 32860075950 33298210296 34685635725 35050747680 35804527200 36998011440 37181624400 37460486583 38421011880 38668889376 39432091140 40280093100 40443170400 41108901600 41622762870 42690013200 43813434600 44397613728 46105214256 46247514300 48026264850 48336111720 49290113925 49947315444 50880117600 51228015840 52576121520 53706790800 55497017160 57631517820 58417912800 60420139650 60664755600 61663352400 62434144305 63091345824 64035019800 64448148960 65720151900 66596420592 69371271450 72039397275 73996022880 74363248800 74920973166 76842023760 78864182280 80560186200 83245525740 85380026400 87626869200 92210428512 92495028600 96052529700 96672223440 98580227850 99894630888 104056907175 105152243040 107413581600 110994034320 115263035640 120840279300 121329511200 123326704800 124868288610 128070039600 131440303800 133192841184 138742542900 144078794550 149841946332 153684047520 157728364560 161120372400 166491051480 175253738400 184990057200 187302432915 192105059400 193344446880 197160455700 199789261776 208113814350 221988068640 230526071280 241680558600 249736577220 256140079200 262880607600 277485085800 288157589100 299683892664 312170721525 315456729120 322240744800 332982102960 369980114400 374604865830 384210118800 394320911400 399578523552 416227628700 461052142560 483361117200 499473154440 525761215200 554970171600 576315178200 599367785328 624341443050 665964205920 749209731660 768420237600 788641822800 832455257400 936512164575 966722234400 998946308880 1109940343200 1152630356400 1198735570656 1248682886100 1498419463320 1577283645600 1664910514800 1873024329150 1997892617760 2305260712800 2497365772200 2996838926640 3329821029600 3746048658300 4994731544400 5993677853280 7492097316600 9989463088800 14984194633200 29968389266400
- Sum of all divisors σ(n): 128452978483200
- Sum of proper divisors (its aliquot sum) s(n): 98484589216800
- 29968389266400 is an abundant number, because the sum of its proper divisors (98484589216800) is greater than itself. Its abundance is 68516199950400
Bases of 29968389266400
- Binary: 1101101000001100011110011001001011011111000002
- Hexadecimal: 0x1B418F325BE0
- Base-36: AMFAD7I00
Squares and roots of 29968389266400
- 29968389266400 squared (299683892664002) is 898104355222478730168960000
- 29968389266400 cubed (299683892664003) is 26914740919156424361197762722450944000000
-
The
square root of 29968389266400 is 5474339.1625291175 -
The
cube root of 29968389266400 is 31061.4076797937
Scales and comparisons
How big is 29968389266400?- 29,968,389,266,400 seconds is equal to 952,902 years, 4 weeks, 1 day, 6 hours.
-
To count from 1 to 29,968,389,266,400 would take you about two million, three hundred eighty-two thousand, two hundred fifty-five 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 29968389266400 cubic inches would be around 2588.5 feet tall.
Recreational maths with 29968389266400
- 29968389266400 backwards is 00466298386992
- 29968389266400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 29968389266400's digits is 72
- More coming soon!
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The information we have on file for 29968389266400 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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