29768142603468000
29,768,142,603,468,000 is an even composite number composed of six prime numbers multiplied together.
29768142603468000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 29768142603468000:
25 × 3 × 53 × 232 × 312 × 474
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 23 × 23 × 31 × 31 × 47 × 47 × 47 × 47)See below for interesting mathematical facts about the number 29768142603468000 from the Numbermatics database.
Names of 29768142603468000
- Cardinal: 29768142603468000 can be written as Twenty-nine quadrillion, seven hundred sixty-eight trillion, one hundred forty-two billion, six hundred three million, four hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 2.9768142603468 × 1016
Factors of 29768142603468000
Divisors of 29768142603468000
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 31 32 40 46 47 48 50 60 62 69 75 80 92 93 94 96 100 115 120 124 125 138 141 150 155 160 184 186 188 200 230 235 240 248 250 276 282 300 310 345 368 372 375 376 400 460 465 470 480 496 500 529 552 564 575 600 620 690 705 713 736 744 750 752 775 800 920 930 940 961 992 1000 1058 1081 1104 1128 1150 1175 1200 1240 1380 1410 1426 1457 1488 1500 1504 1550 1587 1725 1840 1860 1880 1922 2000 2116 2139 2162 2208 2209 2256 2300 2325 2350 2400 2480 2645 2760 2820 2852 2875 2883 2914 2976 3000 3100 3174 3243 3450 3525 3565 3680 3720 3760 3844 3875 4000 4232 4278 4324 4371 4418 4512 4600 4650 4700 4805 4960 5290 5405 5520 5640 5704 5750 5766 5828 5875 6000 6200 6348 6486 6627 6900 7050 7130 7285 7440 7520 7688 7750 7935 8464 8556 8625 8648 8742 8836 9200 9300 9400 9610 10580 10695 10810 11040 11045 11280 11408 11500 11532 11625 11656 11750 12000 12400 12696 12972 13225 13254 13800 14100 14260 14415 14570 14880 15376 15500 15870 16215 16399 16928 17112 17250 17296 17484 17625 17672 17825 18400 18600 18800 19220 21160 21390 21620 21855 22090 22103 22560 22816 23000 23064 23250 23312 23500 24025 24800 24863 25392 25944 26450 26508 27025 27600 28200 28520 28830 29140 30752 31000 31740 32430 32798 33135 33511 34224 34500 34592 34968 35250 35344 35650 36425 37200 37600 38440 39675 42320 42780 43240 43710 44180 44206 45167 46000 46128 46500 46624 47000 48050 49197 49726 50784 50807 51888 52900 53016 53475 54050 55200 55225 56400 57040 57660 58280 62000 63480 64860 65596 66125 66270 66309 67022 68448 68479 69000 69936 70500 70688 71300 72075 72850 74400 74589 76880 79350 81075 81995 84640 85560 86480 87420 88360 88412 89125 90334 92000 92256 93000 94000 96100 98394 99452 100533 101614 103776 103823 105800 106032 106950 108100 109275 110450 110515 112800 114080 115320 116560 120125 124000 124315 126960 129720 131192 132250 132540 132618 134044 135125 135501 136958 138000 139872 141000 142600 144150 145700 149178 152421 153760 158700 162150 163990 165675 167555 171120 172960 174840 176720 176824 178250 180668 182125 186000 188000 192200 196788 198375 198904 201066 203228 205437 207646 211600 212064 213900 216200 218550 220900 221030 225835 230640 233120 240250 245985 248630 253920 254035 259440 262384 264500 265080 265236 267375 268088 270250 271002 273916 276000 276125 282000 285200 288300 291400 298356 304842 311469 317400 324300 327980 331350 331545 335110 342240 342395 349680 353440 353648 356500 360375 361336 364250 372000 372945 384400 393576 396750 397808 402132 405375 406456 409975 410874 415292 423200 427800 432400 437100 441800 442060 451670 461280 480500 491970 497260 502665 508070 508369 518880 519115 524768 529000 530160 530472 534750 536176 540500 542004 546375 547832 552250 552575 564000 570400 576600 582800 596712 609684 621575 622938 634800 648600 655960 662700 663090 670220 677505 684790 699360 707296 713000 720750 722672 728500 745890 762105 768800 770753 787152 793500 795616 804264 810750 812912 819950 821748 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2245974242000 2250899251680 2294799769000 2344686720500 2400656661570 2480678550289 2533458944976 2553890065500 2560700439008 2581351249000 2588534139432 2609409414750 2639019734350 2695169090400 2696389728575 2753759722800 2783370042400 2813624064600 3097621498800 3166823681220 3200875548760 3235667674290 3368961363000 3405186754000 3442199653500 3451378852576 3479212553000 3517030080750 3751498752800 3841050658512 3872026873500 3958529601525 4001094435950 4086224104800 4175055063600 4222431574960 4314223565720 4491948484000 4589599538000 4689373441000 4801313323140 4961357100578 5066917889952 5107780131000 5162702498000 5177068278864 5218818829500 5278039468700 5392779457150 5507519445600 5627248129200 6001641653925 6195242997600 6333647362440 6401751097520 6471335348580 6597549335875 6737922726000 6810373508000 6884399307000 6958425106000 7034060161500 7442035650867 7682101317024 7744053747000 7917059203050 8002188871900 8089169185725 8350110127200 8444863149920 8628447131440 9179199076000 9378746882000 9602626646280 9922714201156 10002736089875 10215560262000 10325404996000 10354136557728 10437637659000 10556078937400 10785558914300 11254496258400 12003283307850 12403392751445 12667294724880 12803502195040 12942670697160 13195098671750 13475845452000 13481948642875 13768798614000 13916850212000 14068120323000 14884071301734 15488107494000 15834118406100 16004377743800 16178338371450 17256894262880 18757493764000 19205253292560 19792648007625 19845428402312 20005472179750 20431120524000 20875275318000 21112157874800 21571117828600 24006566615700 24806785502890 25334589449760 25885341394320 26390197343500 26963897285750 27537597228000 28136240646000 29768142603468 30008208269625 30976214988000 31668236812200 32008755487600 32356676742900 37210178254335 38410506585120 39585296015250 39690856804624 40010944359500 40445845928625 41750550636000 42224315749600 43142235657200 48013133231400 49613571005780 51770682788640 52780394687000 53927794571500 56272481292000 59536285206936 60016416539250 62016963757225 63336473624400 64017510975200 64713353485800 74420356508670 79170592030500 79381713609248 80021888719000 80891691857250 86284471314400 96026266462800 99227142011560 105560789374000 107855589143000 119072570413872 120032833078500 124033927514450 126672947248800 129426706971600 148840713017340 158341184061000 160043777438000 161783383714500 186050891271675 192052532925600 198454284023120 211121578748000 215711178286000 238145140827744 240065666157000 248067855028900 258853413943200 297681426034680 310084818786125 316682368122000 320087554876000 323566767429000 372101782543350 396908568046240 431422356572000 480131332314000 496135710057800 595362852069360 620169637572250 633364736244000 647133534858000 744203565086700 930254456358375 960262664628000 992271420115600 1190725704138720 1240339275144500 1294267069716000 1488407130173400 1860508912716750 1984542840231200 2480678550289000 2976814260346800 3721017825433500 4961357100578000 5953628520693600 7442035650867000 9922714201156000 14884071301734000 29768142603468000
- Sum of all divisors σ(n): 107629413831667728
- Sum of proper divisors (its aliquot sum) s(n): 77861271228199728
- 29768142603468000 is an abundant number, because the sum of its proper divisors (77861271228199728) is greater than itself. Its abundance is 48093128624731728
Bases of 29768142603468000
- Binary: 11010011100000111110111110011011000000010111100111000002
- Hexadecimal: 0x69C1F7CD80BCE0
- Base-36: 853XBX7FT9C
Squares and roots of 29768142603468000
- 29768142603468000 squared (297681426034680002) is 886142314060406597085627024000000
- 29768142603468000 cubed (297681426034680003) is 26378810771917310141187179739538576919232000000000
-
The
square root of 29768142603468000 is 172534467.8708228433 -
The
cube root of 29768142603468000 is 309920.6963410729
Scales and comparisons
How big is 29768142603468000?- 29,768,142,603,468,000 seconds is equal to 946,534,855 years, 45 weeks, 5 days, 3 hours, 20 minutes.
-
To count from 1 to 29,768,142,603,468,000 would take you about two billion, eight hundred thirty-nine million, six hundred four thousand, five hundred sixty-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 29768142603468000 cubic inches would be around 25826.7 feet tall.
Recreational maths with 29768142603468000
- 29768142603468000 backwards is 00086430624186792
- The number of decimal digits it has is: 17
- The sum of 29768142603468000's digits is 66
- More coming soon!
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The information we have on file for 29768142603468000 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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