106008142800
106,008,142,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 106008142800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 720 divisors.
106008142800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 106008142800:
24 × 3 × 52 × 7 × 29 × 472 × 197
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 29 × 47 × 47 × 197)See below for interesting mathematical facts about the number 106008142800 from the Numbermatics database.
Names of 106008142800
- Cardinal: 106008142800 can be written as One hundred six billion, eight million, one hundred forty-two thousand, eight hundred.
Scientific notation
- Scientific notation: 1.060081428 × 1011
Factors of 106008142800
Divisors of 106008142800
- Number of divisors d(n): 720
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 29 30 35 40 42 47 48 50 56 58 60 70 75 80 84 87 94 100 105 112 116 120 140 141 145 150 168 174 175 188 197 200 203 210 232 235 240 280 282 290 300 329 336 348 350 376 394 400 406 420 435 464 470 525 560 564 580 591 600 609 658 696 700 705 725 752 788 812 840 870 940 985 987 1015 1050 1128 1160 1175 1182 1200 1218 1316 1363 1379 1392 1400 1410 1450 1576 1624 1645 1680 1740 1880 1970 1974 2030 2100 2175 2209 2256 2320 2350 2364 2436 2632 2726 2758 2800 2820 2900 2955 3045 3152 3248 3290 3480 3525 3760 3940 3948 4060 4089 4137 4200 4350 4418 4700 4728 4872 4925 4935 5075 5264 5452 5516 5640 5713 5800 5910 6090 6580 6627 6815 6895 6960 7050 7880 7896 8120 8178 8225 8274 8400 8700 8836 9259 9400 9456 9541 9744 9850 9870 10150 10904 11032 11045 11280 11426 11600 11820 12180 13160 13254 13630 13790 14100 14775 15225 15463 15760 15792 16240 16356 16450 16548 17139 17400 17672 18518 18800 19082 19700 19740 20300 20445 20685 21808 22064 22090 22852 23640 24360 24675 26320 26508 27260 27580 27777 28200 28565 28623 29550 30450 30926 32712 32900 33096 33135 34075 34278 34475 34800 35344 37036 38164 39400 39480 39991 40600 40890 41370 44180 45704 46295 46389 47280 47705 48720 49350 53016 54520 55160 55225 55554 56400 57130 57246 59100 60900 61852 64061 64813 65424 65800 66192 66270 68150 68556 68950 74072 76328 77315 78800 78960 79982 81200 81780 82740 85695 88360 91408 92590 92778 95410 98700 102225 103425 106032 109040 110320 110450 111108 114260 114492 118200 119973 121800 123704 128122 129626 131600 132540 136300 137112 137900 138885 142825 143115 148144 152656 154630 159964 163560 165480 165675 171390 176720 185180 185556 190820 192183 194439 197400 199955 204450 206850 220900 222216 228520 228984 231475 231945 236400 238525 239946 243600 247408 256244 259252 265080 268511 272600 274224 275800 277770 285650 286230 309260 319928 320305 324065 327120 330960 331350 342780 370360 371112 381640 384366 386575 388878 394800 399910 408900 413700 428475 435173 441800 444432 448427 457040 457968 462950 463890 477050 479892 512488 518504 530160 537022 545200 551600 555540 571300 572460 599865 618520 639856 640610 648130 662700 685560 694425 715575 740720 742224 763280 768732 773150 777756 799820 805533 817800 827400 856950 870346 883600 896854 925900 927780 954100 959784 960915 972195 999775 1024976 1037008 1074044 1111080 1142600 1144920 1159725 1199730 1237040 1281220 1296260 1305519 1325400 1342555 1345281 1371120 1388850 1431150 1537464 1546300 1555512 1599640 1601525 1611066 1620325 1635600 1654800 1713900 1740692 1793708 1851800 1855560 1879577 1908200 1919568 1921830 1944390 1999550 2148088 2175865 2222160 2242135 2285200 2289840 2319450 2399460 2562440 2592520 2611038 2650800 2685110 2690562 2777700 2862300 2999325 3046211 3074928 3092600 3111024 3199280 3203050 3222132 3240650 3427800 3481384 3587416 3703600 3711120 3759154 3816400 3843660 3888780 3999100 4027665 4296176 4351730 4484270 4638900 4798920 4804575 4860975 5124880 5185040 5222076 5370220 5381124 5555400 5638731 5724600 5998650 6092422 6185200 6406100 6444264 6481300 6527595 6712775 6726405 6855600 6962768 7174832 7518308 7687320 7777560 7998200 8055330 8703460 8968540 9138633 9277800 9397885 9597840 9609150 9721950 10444152 10740440 10762248 10879325 11110800 11210675 11277462 11449200 11997300 12184844 12620017 12812200 12888528 12962600 13055190 13425550 13452810 15036616 15231055 15374640 15555120 15996400 16110660 17406920 17937080 18277266 18555600 18795770 19218300 19443900 20138325 20888304 21480880 21524496 21758650 22421350 22554924 23994600 24369688 25240034 25624400 25925200 26110380 26851100 26905620 28193655 30073232 30462110 32221320 32637975 33632025 34813840 35874160 36554532 37591540 37860051 38436600 38887800 40276650 43517300 44842700 45109848 45693165 46989425 47989200 48739376 50480068 52220760 53702200 53811240 56387310 60924220 63100085 64442640 65275950 67264050 73109064 75183080 75720102 76155275 76873200 77775600 80553300 87034600 88340119 89685400 90219696 91386330 93978850 100960136 104441520 107404400 107622480 112774620 121848440 126200170 130551900 134528100 140968275 146218128 150366160 151440204 152310550 161106600 174069200 176680238 179370800 182772660 187957700 189300255 201920272 225549240 228465825 243696880 252400340 261103800 265020357 269056200 281936550 302880408 304621100 315500425 322213200 353360476 365545320 375915400 378600510 441700595 451098480 456931650 504800680 522207600 530040714 538112400 563873100 605760816 609242200 631000850 706720952 731090640 751830800 757201020 883401190 913863300 946501275 1009601360 1060081428 1127746200 1218484400 1262001700 1325101785 1413441904 1514402040 1766802380 1827726600 1893002550 2120162856 2208502975 2255492400 2524003400 2650203570 3028804080 3533604760 3655453200 3786005100 4240325712 4417005950 5048006800 5300407140 6625508925 7067209520 7572010200 8834011900 10600814280 13251017850 15144020400 17668023800 21201628560 26502035700 35336047600 53004071400 106008142800
- Sum of all divisors σ(n): 412279148160
- Sum of proper divisors (its aliquot sum) s(n): 306271005360
- 106008142800 is an abundant number, because the sum of its proper divisors (306271005360) is greater than itself. Its abundance is 200262862560
Bases of 106008142800
- Binary: 11000101011101001001111100011110100002
- Hexadecimal: 0x18AE93E3D0
- Base-36: 1CP6IEHC
Squares and roots of 106008142800
- 106008142800 squared (1060081428002) is 11237726339905191840000
- 106008142800 cubed (1060081428003) is 1191290498587990915036114752000000
-
The
square root of 106008142800 is 325588.9168875379 -
The
cube root of 106008142800 is 4732.7446729867
Scales and comparisons
How big is 106008142800?- 106,008,142,800 seconds is equal to 3,370 years, 38 weeks, 2 hours, 20 minutes.
-
To count from 1 to 106,008,142,800 would take you about six thousand, seven hundred forty-one 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 106008142800 cubic inches would be around 394.4 feet tall.
Recreational maths with 106008142800
- 106008142800 backwards is 008241800601
- 106008142800 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 106008142800's digits is 30
- More coming soon!
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The information we have on file for 106008142800 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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