106713908100800
106,713,908,100,800 is an even composite number composed of seven prime numbers multiplied together.
106713908100800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand and twenty-four divisors.
Prime factorization of 106713908100800:
26 × 52 × 73 × 112 × 132 × 37 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7 × 11 × 11 × 13 × 13 × 37 × 257)See below for interesting mathematical facts about the number 106713908100800 from the Numbermatics database.
Names of 106713908100800
- Cardinal: 106713908100800 can be written as One hundred six trillion, seven hundred thirteen billion, nine hundred eight million, one hundred thousand, eight hundred.
Scientific notation
- Scientific notation: 1.067139081008 × 1014
Factors of 106713908100800
Divisors of 106713908100800
- Number of divisors d(n): 3024
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Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 20 22 25 26 28 32 35 37 40 44 49 50 52 55 56 64 65 70 74 77 80 88 91 98 100 104 110 112 121 130 140 143 148 154 160 169 175 176 182 185 196 200 208 220 224 242 245 257 259 260 275 280 286 296 308 320 325 338 343 350 352 364 370 385 392 400 407 416 440 448 455 481 484 490 514 518 520 539 550 560 572 592 605 616 637 650 676 686 700 704 715 728 740 770 784 800 814 832 845 847 880 910 925 962 968 980 1001 1028 1036 1040 1078 1100 1120 1144 1183 1184 1210 1225 1232 1274 1285 1295 1300 1352 1372 1400 1430 1456 1480 1540 1568 1573 1600 1628 1690 1694 1715 1760 1799 1813 1820 1850 1859 1924 1925 1936 1960 2002 2035 2056 2072 2080 2156 2200 2240 2275 2288 2366 2368 2405 2420 2450 2464 2548 2570 2590 2600 2695 2704 2744 2800 2827 2849 2860 2912 2960 3025 3080 3136 3146 3185 3256 3341 3367 3380 3388 3430 3520 3575 3598 3626 3640 3700 3718 3773 3848 3850 3872 3920 4004 4070 4112 4144 4160 4225 4235 4312 4400 4459 4477 4550 4576 4732 4810 4840 4900 4928 5005 5096 5140 5180 5200 5291 5390 5408 5488 5600 5654 5698 5720 5824 5915 5920 5929 6050 6160 6253 6292 6370 6425 6475 6512 6682 6734 6760 6776 6860 7007 7150 7196 7252 7280 7400 7436 7546 7696 7700 7744 7840 7865 8008 8140 8224 8281 8288 8450 8470 8575 8624 8800 8918 8954 8995 9065 9100 9152 9295 9464 9509 9620 9680 9800 10010 10175 10192 10280 10360 10400 10582 10780 10816 10976 11011 11200 11308 11396 11440 11830 11840 11858 12025 12100 12320 12506 12584 12593 12691 12740 12850 12950 13013 13024 13364 13468 13475 13520 13552 13720 14014 14135 14245 14300 14392 14504 14560 14800 14872 15092 15392 15400 15680 15730 15925 16016 16280 16448 16562 16576 16705 16835 16900 16940 17150 17248 17600 17836 17908 17990 18130 18200 18590 18865 18928 19018 19240 19360 19600 19789 19943 20020 20350 20384 20449 20560 20720 20800 21164 21175 21560 21952 22022 22295 22385 22616 22792 22880 23387 23569 23660 23716 24050 24200 24640 25012 25025 25168 25186 25382 25480 25700 25900 26026 26048 26455 26728 26936 26950 27040 27104 27440 28028 28270 28490 28600 28784 29008 29120 29575 29600 29645 29744 30184 30784 30800 31097 31265 31339 31460 31850 32032 32560 33124 33410 33670 33800 33880 34300 34496 35035 35672 35816 35980 36260 36400 36751 37037 37180 37730 37856 38036 38480 38720 39200 39325 39578 39886 40040 40700 40768 40898 41120 41405 41440 41503 42328 42350 43120 43433 43771 44044 44590 44770 44975 45232 45325 45584 45760 46475 46774 47138 47320 47432 47545 48100 48400 49049 50024 50050 50336 50372 50764 50960 51400 51800 52052 52910 53456 53872 53900 54080 54208 54880 55055 56056 56540 56980 57200 57568 57967 58016 58201 59150 59200 59290 59488 60368 61600 62194 62530 62678 62920 62965 63455 63700 64064 65065 65120 66248 66563 66820 67340 67600 67760 68600 68783 70070 70675 71225 71344 71632 71960 72520 72800 73502 74074 74360 75460 75712 76072 76960 77077 78400 78650 79156 79772 80080 81400 81796 82240 82810 82880 83006 83525 84175 84656 84700 86240 86866 87542 88088 88151 89180 89540 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4437168736 4499658800 4510308880 4527723200 4562958400 4664069410 4682077400 4718513800 4767206080 4786450240 4845786400 4861238525 4949624680 5039617856 5042237200 5130476351 5150285140 5190365180 5218539200 5235179950 5243926688 5330365040 5350945600 5392587200 5444587148 5512082030 5546460920 5611205600 5637886100 5656713920 5740393120 5863401544 5886040160 5931845920 5959007600 5983062800 6063290233 6187030850 6222385312 6299522320 6314432432 6338812480 6388141760 6437856425 6443298400 6487956475 6554908360 6662956300 6701030336 6784100960 6805733935 6929474552 6933076150 7070892400 7175491400 7210399196 7329251930 7357550200 7414807400 7462511056 7491323840 7549622080 7614807200 7777981640 7874402900 7893040540 7919399488 7923515600 7985177200 8193635450 8200561600 8240456224 8304584288 8376287920 8408628800 8474065600 8480126200 8533016800 8661843190 8819331248 8874337472 8999317600 9012998995 9020617760 9328138820 9364154800 9437027600 9528027509 9691572800 9722477050 9866300675 9899249360 10084474400 10260952702 10300570280 10380730360 10470359900 10487853376 10660730080 10889174296 11024164060 11092921840 11222411200 11275772200 11480786240 11660173525 11726803088 11772080320 11863691840 11918015200 11966125600 12126580466 12374061700 12444770624 12599044640 12628864864 12875712850 12886596800 12975912950 13109816720 13325912600 13568201920 13611467870 13780205075 13858949104 13866152300 14141784800 14350982800 14420798392 14658503860 14715100400 14829614800 14925022112 15229614400 15555963280 15748805800 15786081080 15847031200 15970354400 16387270900 16480912448 16609168576 16752575840 16960252400 17066033600 17323686380 17638662496 17998635200 18025997990 18041235520 18323129825 18656277640 18728309600 18874055200 19056055018 19444954100 19732601350 19798498720 20168948800 20521905404 20601140560 20761460720 20940719800 21321460160 21654607975 21778348592 22048328120 22185843680 22551544400 23320347050 23453606176 23836030400 23932251200 24253160932 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78930405400 82087621616 82404562240 83045842880 83762879200 86618431900 87113394368 88193312480 90129989950 90206177600 93281388200 95280275090 97012643728 98992493600 102609527020 103005702800 103807303600 106607300800 108891742960 110241640600 110929218400 115366387136 117268030880 121265804660 125990446400 126288648640 128261908775 131098167200 133392385126 136114678700 138589491040 144207983920 146585038600 149250221120 151582255825 152448440144 155559632800 157860810800 164175243232 167525758400 173236863800 176386624960 180259979900 186562776400 190560550180 194025287456 197984987200 205219054040 206011405600 207614607200 217783485920 220483281200 221858436800 234536061760 238200687725 242531609320 256523817550 262196334400 266784770252 272229357400 277178982080 288415967840 293170077200 303164511650 304896880288 311119265600 315721621600 328350486464 333480962815 346473727600 360519959800 373125552800 381121100360 388050574912 410438108080 412022811200 415229214400 435566971840 440966562400 476401375450 485063218640 513047635100 533569540504 544458714800 576831935680 586340154400 606329023300 609793760576 631443243200 666961925630 692947455200 721039919600 746251105600 762242200720 820876216160 881933124800 952802750900 970126437280 1026095270200 1067139081008 1088917429600 1172680308800 1212658046600 1333923851260 1385894910400 1442079839200 1524484401440 1641752432320 1667404814075 1905605501800 1940252874560 2052190540400 2134278162016 2177834859200 2425316093200 2667847702520 2884159678400 3048968802880 3334809628150 3811211003600 4104381080800 4268556324032 4850632186400 5335695405040 6669619256300 7622422007200 8208762161600 9701264372800 10671390810080 13339238512600 15244844014400 21342781620160 26678477025200 53356954050400 106713908100800
- Sum of all divisors σ(n): 375778076788800
- Sum of proper divisors (its aliquot sum) s(n): 269064168688000
- 106713908100800 is an abundant number, because the sum of its proper divisors (269064168688000) is greater than itself. Its abundance is 162350260587200
Bases of 106713908100800
- Binary: 110000100001110010001001001010110111110110000002
- Hexadecimal: 0x610E4495BEC0
- Base-36: 11TROXM0U8
Squares and roots of 106713908100800
- 106713908100800 squared (1067139081008002) is 11387858182145987862960640000
- 106713908100800 cubed (1067139081008003) is 1215242851514470296137413921167552512000000
-
The
square root of 106713908100800 is 10330242.4028093359 -
The
cube root of 106713908100800 is 47432.2443907125
Scales and comparisons
How big is 106713908100800?- 106,713,908,100,800 seconds is equal to 3,393,172 years, 9 weeks, 6 days, 2 hours, 13 minutes, 20 seconds.
-
To count from 1 to 106,713,908,100,800 would take you about eight million, four hundred eighty-two thousand, nine hundred thirty 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 106713908100800 cubic inches would be around 3952.7 feet tall.
Recreational maths with 106713908100800
- 106713908100800 backwards is 008001809317601
- 106713908100800 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 106713908100800's digits is 44
- More coming soon!
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"Number 106713908100800 - Facts about the integer". Numbermatics.com. 2024. Web. 3 June 2024.
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Numbermatics. (2024). Number 106713908100800 - Facts about the integer. Retrieved 3 June 2024, from https://numbermatics.com/n/106713908100800/
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The information we have on file for 106713908100800 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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