2746142131200
2,746,142,131,200 is an even composite number composed of seven prime numbers multiplied together.
2746142131200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and fifty-six divisors.
Prime factorization of 2746142131200:
210 × 3 × 52 × 13 × 37 × 79 × 941
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 37 × 79 × 941)See below for interesting mathematical facts about the number 2746142131200 from the Numbermatics database.
Names of 2746142131200
- Cardinal: 2746142131200 can be written as Two trillion, seven hundred forty-six billion, one hundred forty-two million, one hundred thirty-one thousand, two hundred.
Scientific notation
- Scientific notation: 2.7461421312 × 1012
Factors of 2746142131200
Divisors of 2746142131200
- Number of divisors d(n): 1056
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 37 39 40 48 50 52 60 64 65 74 75 78 79 80 96 100 104 111 120 128 130 148 150 156 158 160 185 192 195 200 208 222 237 240 256 260 296 300 312 316 320 325 370 384 390 395 400 416 444 474 480 481 512 520 555 592 600 624 632 640 650 740 768 780 790 800 832 888 925 941 948 960 962 975 1024 1027 1040 1110 1184 1185 1200 1248 1264 1280 1300 1443 1480 1536 1560 1580 1600 1664 1776 1850 1882 1896 1920 1924 1950 1975 2054 2080 2220 2368 2370 2400 2405 2496 2528 2560 2600 2775 2823 2886 2923 2960 3072 3081 3120 3160 3200 3328 3552 3700 3764 3792 3840 3848 3900 3950 4108 4160 4440 4705 4736 4740 4800 4810 4992 5056 5120 5135 5200 5550 5646 5772 5846 5920 5925 6162 6240 6320 6400 6656 7104 7215 7400 7528 7584 7680 7696 7800 7900 8216 8320 8769 8880 9410 9472 9480 9600 9620 9984 10112 10270 10400 11100 11292 11544 11692 11840 11850 12025 12233 12324 12480 12640 12800 13312 14115 14208 14430 14615 14800 15056 15168 15360 15392 15405 15600 15800 16432 16640 17538 17760 18820 18944 18960 19200 19240 19968 20224 20540 20800 22200 22584 23088 23384 23525 23680 23700 24050 24466 24648 24960 25280 25600 25675 28230 28416 28860 29230 29600 30112 30336 30784 30810 31200 31600 32864 33280 34817 35076 35520 36075 36699 37640 37888 37920 37999 38400 38480 39936 40448 41080 41600 43845 44400 45168 46176 46768 47050 47360 47400 48100 48932 49296 49920 50560 51350 56460 56832 57720 58460 59200 60224 60672 61165 61568 61620 62400 63200 65728 66560 69634 70152 70575 71040 72150 73075 73398 74339 75280 75840 75998 76800 76960 77025 80896 82160 83200 87690 88800 90336 92352 93536 94100 94720 94800 96200 97864 98592 99840 101120 102700 104451 112920 113664 113997 115440 116920 118400 120448 121344 122330 123136 123240 124800 126400 131456 139268 140304 141150 142080 144300 146150 146796 148678 150560 151680 151996 153920 154050 164320 166400 174085 175380 177600 180672 183495 184704 187072 188200 189440 189600 189995 192400 195728 197184 199680 202240 205400 208902 219225 223017 225840 227994 230880 233840 236800 240896 242688 244660 246272 246480 249600 252800 262912 278536 280608 282300 284160 288600 292300 293592 297356 301120 303360 303992 305825 307840 308100 328640 332800 348170 350760 355200 361344 366990 369408 371695 374144 376400 379200 379990 384800 391456 394368 404480 410800 417804 438450 446034 451680 452621 455988 461760 467680 473600 481792 489320 492544 492960 499200 505600 522255 525824 557072 561216 564600 568320 569985 577200 584600 587184 594712 602240 606720 607984 611650 615680 616200 657280 696340 701520 710400 722688 733980 738816 743390 748288 752800 758400 759980 769600 782912 788736 821600 835608 870425 876900 892068 903360 905242 911976 917475 923520 935360 947200 949975 963584 966407 978640 985920 998400 1011200 1044510 1051648 1114144 1115085 1122432 1129200 1139970 1154400 1169200 1174368 1189424 1204480 1213440 1215968 1223300 1231360 1232400 1314560 1357863 1392680 1403040 1420800 1445376 1467960 1477632 1486780 1496576 1505600 1516800 1519960 1539200 1565824 1577472 1643200 1671216 1740850 1753800 1784136 1806720 1810484 1823952 1834950 1847040 1858475 1870720 1899950 1932814 1957280 1971840 2022400 2089020 2228288 2230170 2244864 2258400 2263105 2279940 2308800 2338400 2348736 2378848 2408960 2431936 2446600 2462720 2464800 2611275 2629120 2715726 2750543 2785360 2806080 2841600 2849925 2890752 2899221 2935920 2973560 2993152 3011200 3033600 3039920 3078400 3131648 3154944 3286400 3342432 3481700 3507600 3568272 3613440 3620968 3647904 3669900 3694080 3716950 3741440 3799900 3865628 3914560 3943680 4178040 4456576 4460340 4489728 4516800 4526210 4559880 4617600 4676800 4697472 4757696 4817920 4832035 4863872 4893200 4929600 5222550 5258240 5431452 5501086 5570720 5575425 5612160 5699850 5798442 5871840 5947120 6022400 6067200 6079840 6156800 6263296 6572800 6684864 6789315 6963400 7015200 7136544 7226880 7241936 7295808 7339800 7388160 7433900 7482880 7599800 7731256 7829120 7887360 8251629 8356080 8913152 8920680 8979456 9033600 9052420 9119760 9235200 9353600 9394944 9515392 9664070 9727744 9786400 9859200 10445100 10862904 11002172 11141440 11150850 11224320 11315525 11399700 11596884 11743680 11894240 12044800 12159680 12313600 12526592 13145600 13369728 13578630 13752715 13926800 14030400 14273088 14453760 14483872 14496105 14591616 14679600 14867800 14965760 15199600 15462512 15658240 15774720 16503258 16712160 17826304 17841360 18067200 18104840 18239520 18470400 18707200 18789888 19030784 19328140 19455488 19572800 19718400 20890200 21725808 22004344 22282880 22301700 22448640 22631050 22799400 23193768 23487360 23788480 24089600 24160175 24319360 26291200 26739456 27157260 27505430 27853600 28060800 28546176 28967744 28992210 29183232 29359200 29735600 30399200 30925024 31316480 33006516 33424320 33946575 35652608 35682720 35757059 36134400 36209680 36479040 36940800 37414400 37579776 38061568 38656280 38910976 39145600 39436800 41258145 41780400 43451616 44008688 44565760 44603400 44897280 45262100 45598800 46387536 46974720 47576960 48320350 48638720 53478912 54314520 55010860 55707200 56121600 57092352 57935488 57984420 58366464 58718400 59471200 60798400 61850048 62632960 66013032 66848640 67893150 68763575 71365440 71514118 72268800 72419360 72480525 72958080 74828800 76123136 77312560 78291200 78873600 82516290 83560800 86903232 88017376 89131520 89206800 90524200 91197600 92775072 93949440 95153920 96640700 97277440 106957824 107271177 108629040 110021720 111414400 112243200 114184704 115870976 115968840 116732928 117436800 118942400 121596800 123700096 132026064 133697280 135786300 137527150 142730880 143028236 144838720 144961050 145916160 154625120 156582400 165032580 167121600 173806464 176034752 178263040 178413600 178785295 181048400 182395200 185550144 187898880 190307840 193281400 194554880 206290725 214542354 217258080 220043440 222828800 224486400 228369408 231741952 231937680 234873600 237884800 243193600 247400192 264052128 267394560 271572600 275054300 285461760 286056472 289677440 289922100 291832320 309250240 313164800 330065160 334243200 347612928 352069504 356827200 357570590 362096800 364790400 371100288 380615680 386562800 412581450 429084708 434516160 440086880 445657600 463483904 463875360 469747200 475769600 486387200 494800384 528104256 534789120 536355885 543145200 550108600 570923520 572112944 579354880 579844200 583664640 618500480 660130320 668486400 695225856 704139008 713654400 715141180 724193600 729580800 742200576 773125600 825162900 858169416 869032320 880173760 891315200 893926475 927750720 939494400 951539200 972774400 989600768 1056208512 1072711770 1086290400 1100217200 1141847040 1144225888 1158709760 1159688400 1237000960 1320260640 1336972800 1390451712 1408278016 1427308800 1430282360 1448387200 1459161600 1484401152 1546251200 1650325800 1716338832 1738064640 1760347520 1787852950 1855501440 1903078400 2112417024 2145423540 2172580800 2200434400 2288451776 2317419520 2319376800 2474001920 2640521280 2673945600 2681779425 2816556032 2854617600 2860564720 2896774400 2918323200 2968802304 3092502400 3300651600 3432677664 3476129280 3520695040 3575705900 3711002880 4224834048 4290847080 4345161600 4400868800 4576903552 4638753600 4948003840 5281042560 5363558850 5709235200 5721129440 5793548800 6185004800 6601303200 6865355328 6952258560 7041390080 7151411800 7422005760 8449668096 8581694160 8690323200 8801737600 9153807104 9277507200 10562085120 10727117700 11442258880 11587097600 12370009600 13202606400 13730710656 14082780160 14302823600 14844011520 17163388320 17380646400 17603475200 18307614208 18555014400 21124170240 21454235400 22884517760 24740019200 26405212800 27461421312 28605647200 34326776640 34761292800 35206950400 36615228416 37110028800 42248340480 42908470800 45769035520 52810425600 54922842624 57211294400 68653553280 70413900800 74220057600 85816941600 91538071040 105620851200 109845685248 114422588800 137307106560 171633883200 183076142080 211241702400 228845177600 274614213120 343267766400 457690355200 549228426240 686535532800 915380710400 1373071065600 2746142131200
- Sum of all divisors σ(n): 10176350338560
- Sum of proper divisors (its aliquot sum) s(n): 7430208207360
- 2746142131200 is an abundant number, because the sum of its proper divisors (7430208207360) is greater than itself. Its abundance is 4684066076160
Bases of 2746142131200
- Binary: 1001111111011000101101001110000100000000002
- Hexadecimal: 0x27F62D38400
- Base-36: Z1K64DMO
Squares and roots of 2746142131200
- 2746142131200 squared (27461421312002) is 7541296604751678013440000
- 2746142131200 cubed (27461421312003) is 20709472330184097106604303843328000000
-
The
square root of 2746142131200 is 1657148.7957332015 -
The
cube root of 2746142131200 is 14003.6421326807
Scales and comparisons
How big is 2746142131200?- 2,746,142,131,200 seconds is equal to 87,318 years, 42 weeks, 6 days, 10 hours, 40 minutes.
-
To count from 1 to 2,746,142,131,200 would take you about two hundred eighteen thousand, two hundred ninety-seven 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 2746142131200 cubic inches would be around 1167 feet tall.
Recreational maths with 2746142131200
- 2746142131200 backwards is 0021312416472
- The number of decimal digits it has is: 13
- The sum of 2746142131200's digits is 33
- More coming soon!
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The information we have on file for 2746142131200 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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