106672329676800
106,672,329,676,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 106672329676800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 864 divisors.
106672329676800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 106672329676800:
211 × 32 × 52 × 31 × 53 × 140897
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 31 × 53 × 140897)See below for interesting mathematical facts about the number 106672329676800 from the Numbermatics database.
Names of 106672329676800
- Cardinal: 106672329676800 can be written as One hundred six trillion, six hundred seventy-two billion, three hundred twenty-nine million, six hundred seventy-six thousand, eight hundred.
Scientific notation
- Scientific notation: 1.066723296768 × 1014
Factors of 106672329676800
Divisors of 106672329676800
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 31 32 36 40 45 48 50 53 60 62 64 72 75 80 90 93 96 100 106 120 124 128 144 150 155 159 160 180 186 192 200 212 225 240 248 256 265 279 288 300 310 318 320 360 372 384 400 424 450 465 477 480 496 512 530 558 576 600 620 636 640 720 744 768 775 795 800 848 900 930 954 960 992 1024 1060 1116 1152 1200 1240 1272 1280 1325 1395 1440 1488 1536 1550 1590 1600 1643 1696 1800 1860 1908 1920 1984 2048 2120 2232 2304 2325 2385 2400 2480 2544 2560 2650 2790 2880 2976 3072 3100 3180 3200 3286 3392 3600 3720 3816 3840 3968 3975 4240 4464 4608 4650 4770 4800 4929 4960 5088 5120 5300 5580 5760 5952 6144 6200 6360 6400 6572 6784 6975 7200 7440 7632 7680 7936 7950 8215 8480 8928 9216 9300 9540 9600 9858 9920 10176 10240 10600 11160 11520 11904 11925 12400 12720 12800 13144 13568 13950 14400 14787 14880 15264 15360 15872 15900 16430 16960 17856 18432 18600 19080 19200 19716 19840 20352 21200 22320 23040 23808 23850 24645 24800 25440 25600 26288 27136 27900 28800 29574 29760 30528 30720 31744 31800 32860 33920 35712 37200 38160 38400 39432 39680 40704 41075 42400 44640 46080 47616 47700 49290 49600 50880 51200 52576 54272 55800 57600 59148 59520 61056 63488 63600 65720 67840 71424 73935 74400 76320 76800 78864 79360 81408 82150 84800 89280 92160 95232 95400 98580 99200 101760 105152 108544 111600 115200 118296 119040 122112 123225 127200 131440 135680 140897 142848 147870 148800 152640 153600 157728 158720 162816 164300 169600 178560 190464 190800 197160 198400 203520 210304 223200 230400 236592 238080 244224 246450 254400 262880 271360 281794 285696 295740 297600 305280 315456 317440 325632 328600 339200 357120 369675 381600 394320 396800 407040 420608 422691 446400 460800 473184 476160 488448 492900 508800 525760 542720 563588 571392 591480 595200 610560 630912 657200 678400 704485 714240 739350 763200 788640 793600 814080 841216 845382 892800 946368 952320 976896 985800 1017600 1051520 1127176 1182960 1190400 1221120 1261824 1268073 1314400 1356800 1408970 1428480 1478700 1526400 1577280 1587200 1628160 1682432 1690764 1785600 1892736 1971600 2035200 2103040 2113455 2254352 2365920 2380800 2442240 2523648 2536146 2628800 2713600 2817940 2856960 2957400 3052800 3154560 3364864 3381528 3522425 3571200 3785472 3943200 4070400 4206080 4226910 4367807 4508704 4731840 4761600 4884480 5047296 5072292 5257600 5635880 5914800 6105600 6309120 6340365 6763056 7044850 7142400 7467541 7570944 7886400 8140800 8412160 8453820 8735614 9017408 9463680 10094592 10144584 10515200 10567275 11271760 11829600 12211200 12618240 12680730 13103421 13526112 14089700 14284800 14935082 15141888 15772800 16824320 16907640 17471228 18034816 18927360 20289168 21030400 21134550 21839035 22402623 22543520 23659200 24422400 25236480 25361460 26206842 27052224 28179400 29870164 30283776 31545600 31701825 33815280 34942456 36069632 37337705 37854720 39310263 40578336 42060800 42269100 43678070 44805246 45087040 47318400 50472960 50722920 52413684 54104448 56358800 59740328 63091200 63403650 65517105 67207869 67630560 69884912 72139264 74675410 75709440 78620526 81156672 84121600 84538200 87356140 89610492 90174080 94636800 101445840 104827368 108208896 109195175 112013115 112717600 119480656 126182400 126807300 131034210 134415738 135261120 139769824 144278528 149350820 151418880 157241052 162313344 169076400 174712280 179220984 180348160 186688525 189273600 196551315 202891680 209654736 216417792 218390350 224026230 225435200 231493771 238961312 252364800 253614600 262068420 268831476 270522240 279539648 288557056 298701640 314482104 324626688 327585525 336039345 338152800 349424560 358441968 360696320 373377050 378547200 393102630 405783360 419309472 432835584 436780700 448052460 450870400 462987542 477922624 507229200 524136840 537662952 541044480 559079296 560065575 597403280 628964208 649253376 655171050 672078690 676305600 694481313 698849120 716883936 721392640 746754100 757094400 786205260 811566720 838618944 865671168 873561400 896104920 901740800 925975084 955845248 982756575 1014458400 1048273680 1075325904 1082088960 1118158592 1120131150 1157468855 1194806560 1257928416 1298506752 1310342100 1344157380 1352611200 1388962626 1397698240 1433767872 1442785280 1493508200 1572410520 1623133440 1677237888 1680196725 1747122800 1792209840 1803481600 1851950168 1911690496 1965513150 2028916800 2083443939 2096547360 2150651808 2164177920 2236317184 2240262300 2314937710 2389613120 2515856832 2597013504 2620684200 2688314760 2705222400 2777925252 2795396480 2867535744 2987016400 3144821040 3246266880 3354475776 3360393450 3472406565 3494245600 3584419680 3606963200 3703900336 3823380992 3931026300 4057833600 4166887878 4193094720 4301303616 4328355840 4472634368 4480524600 4629875420 4779226240 5031713664 5241368400 5376629520 5410444800 5555850504 5590792960 5735071488 5787344275 5974032800 6289642080 6492533760 6708951552 6720786900 6944813130 6988491200 7168839360 7213926400 7407800672 7646761984 7862052600 8115667200 8333775756 8386189440 8602607232 8945268736 8961049200 9259750840 9558452480 10063427328 10417219695 10482736800 10753259040 10820889600 11111701008 11181585920 11470142976 11574688550 11948065600 12579284160 12985067520 13417903104 13441573800 13889626260 13976982400 14337678720 14815601344 15293523968 15724105200 16231334400 16667551512 16772378880 17205214464 17362032825 17922098400 18519501680 19116904960 20126854656 20834439390 20965473600 21506518080 21641779200 22223402016 22363171840 22940285952 23149377100 23896131200 25158568320 26835806208 26883147600 27779252520 27953964800 28675357440 29631202688 31448210400 32462668800 33335103024 33544757760 34410428928 34724065650 35844196800 37039003360 38233809920 40253709312 41668878780 41930947200 43013036160 44446804032 44726343680 45880571904 46298754200 47792262400 50317136640 52086098475 53766295200 55558505040 55907929600 57350714880 59262405376 62896420800 64925337600 66670206048 67089515520 68820857856 69448131300 71688393600 74078006720 76467619840 80507418624 83337757560 83861894400 86026072320 88893608064 92597508400 95584524800 100634273280 104172196950 107532590400 111117010080 111815859200 114701429760 118524810752 125792841600 133340412096 134179031040 137641715712 138896262600 143376787200 148156013440 166675515120 167723788800 172052144640 177787216128 185195016800 191169049600 201268546560 208344393900 215065180800 222234020160 223631718400 229402859520 237049621504 251585683200 266680824192 277792525200 286753574400 296312026880 333351030240 335447577600 344104289280 355574432256 370390033600 382338099200 402537093120 416688787800 430130361600 444468040320 474099243008 503171366400 533361648384 555585050400 573507148800 592624053760 666702060480 670895155200 688208578560 711148864512 740780067200 833377575600 860260723200 888936080640 1006342732800 1066723296768 1111170100800 1147014297600 1185248107520 1333404120960 1422297729024 1481560134400 1666755151200 1720521446400 1777872161280 2012685465600 2133446593536 2222340201600 2370496215040 2666808241920 2963120268800 3333510302400 3441042892800 3555744322560 4266893187072 4444680403200 5333616483840 5926240537600 6667020604800 7111488645120 8889360806400 10667232967680 11852481075200 13334041209600 17778721612800 21334465935360 26668082419200 35557443225600 53336164838400 106672329676800
- Sum of all divisors σ(n): 401797767047040
- Sum of proper divisors (its aliquot sum) s(n): 295125437370240
- 106672329676800 is an abundant number, because the sum of its proper divisors (295125437370240) is greater than itself. Its abundance is 188453107693440
Bases of 106672329676800
- Binary: 110000100000100100101100101000101011000000000002
- Hexadecimal: 0x610496515800
- Base-36: 11T8LAW3K0
Squares and roots of 106672329676800
- 106672329676800 squared (1066723296768002) is 11378985918675905992458240000
- 106672329676800 cubed (1066723296768003) is 1213822937304661158160430071736696832000000
-
The
square root of 106672329676800 is 10328229.7455469105 -
The
cube root of 106672329676800 is 47426.0833251331
Scales and comparisons
How big is 106672329676800?- 106,672,329,676,800 seconds is equal to 3,391,850 years, 6 weeks, 3 days, 8 hours.
-
To count from 1 to 106,672,329,676,800 would take you about eight million, four hundred seventy-nine thousand, six hundred twenty-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 106672329676800 cubic inches would be around 3952.2 feet tall.
Recreational maths with 106672329676800
- 106672329676800 backwards is 008676923276601
- The number of decimal digits it has is: 15
- The sum of 106672329676800's digits is 63
- More coming soon!
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The information we have on file for 106672329676800 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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