106004680400160
106,004,680,400,160 is an even composite number composed of seven prime numbers multiplied together.
106004680400160 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 106004680400160:
25 × 33 × 5 × 31 × 41 × 313 × 61681
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 31 × 41 × 313 × 61681)See below for interesting mathematical facts about the number 106004680400160 from the Numbermatics database.
Names of 106004680400160
- Cardinal: 106004680400160 can be written as One hundred six trillion, four billion, six hundred eighty million, four hundred thousand, one hundred sixty.
Scientific notation
- Scientific notation: 1.0600468040016 × 1014
Factors of 106004680400160
Divisors of 106004680400160
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 31 32 36 40 41 45 48 54 60 62 72 80 82 90 93 96 108 120 123 124 135 144 155 160 164 180 186 205 216 240 246 248 270 279 288 310 313 328 360 369 372 410 432 465 480 492 496 540 558 615 620 626 656 720 738 744 820 837 864 930 939 984 992 1080 1107 1116 1230 1240 1252 1271 1312 1395 1440 1476 1488 1565 1640 1674 1845 1860 1878 1968 2160 2214 2232 2460 2480 2504 2542 2790 2817 2952 2976 3130 3280 3348 3690 3720 3756 3813 3936 4185 4320 4428 4464 4695 4920 4960 5008 5084 5535 5580 5634 5904 6260 6355 6560 6696 7380 7440 7512 7626 8370 8451 8856 8928 9390 9703 9840 10016 10168 11070 11160 11268 11439 11808 12520 12710 12833 13392 14085 14760 14880 15024 15252 16740 16902 17712 18780 19065 19406 19680 20336 22140 22320 22536 22878 25040 25420 25666 26784 28170 29109 29520 30048 30504 33480 33804 34317 35424 37560 38130 38499 38812 40672 42255 44280 44640 45072 45756 48515 50080 50840 51332 56340 57195 58218 59040 61008 61681 64165 66960 67608 68634 75120 76260 76998 77624 84510 87327 88560 90144 91512 97030 101680 102664 112680 114390 115497 116436 122016 123362 128330 133920 135216 137268 145545 150240 152520 153996 155248 169020 171585 174654 177120 183024 185043 192495 194060 203360 205328 225360 228780 230994 232872 246724 256660 261981 270432 274536 291090 305040 307992 308405 310496 338040 343170 346491 349308 366048 370086 384990 388120 397823 410656 436635 450720 457560 461988 465744 493448 513320 523962 549072 555129 577485 582180 610080 615984 616810 676080 686340 692982 698616 740172 769980 776240 795646 873270 915120 923976 925215 931488 986896 1026640 1047924 1098144 1110258 1154970 1164360 1193469 1231968 1233620 1309905 1352160 1372680 1385964 1397232 1480344 1539960 1552480 1591292 1665387 1732455 1746540 1830240 1847952 1850430 1912111 1973792 1989115 2053280 2095848 2220516 2309940 2328720 2386938 2467240 2528921 2619810 2745360 2771928 2775645 2794464 2960688 3079920 3182584 3330774 3464910 3493080 3580407 3695904 3700860 3824222 3978230 4191696 4441032 4619880 4657440 4773876 4934480 5057842 5239620 5490720 5543856 5551290 5736333 5921376 5967345 6159840 6365168 6661548 6929820 6986160 7160814 7401720 7586763 7648444 7956460 8326935 8383392 8882064 9239760 9547752 9560555 9868960 10115684 10479240 10741221 11087712 11102580 11472666 11934690 12644605 12730336 13323096 13859640 13972320 14321628 14803440 15173526 15296888 15912920 16653870 17208999 17764128 17902035 18479520 19095504 19121110 19306153 20231368 20958480 21482442 22205160 22760289 22945332 23869380 25289210 26646192 27719280 28643256 28681665 29606880 30347052 30593776 31825840 33307740 34417998 35804070 37933815 38191008 38242220 38612306 40462736 41916960 42964884 44410320 45520578 45890664 47738760 50578420 51626997 53292384 53706105 55438560 57286512 57363330 57918459 60694104 61187552 63651680 66615480 68280867 68835996 71608140 75867630 76484440 77224612 78396551 80925472 85929768 86044995 88820640 91041156 91781328 95477520 96530765 101156840 103253994 107412210 113801445 114573024 114726660 115836918 121388208 133230960 136561734 137671992 143216280 151735260 152968880 154449224 156793102 171859536 172089990 173755377 182082312 183562656 190955040 193061530 202313680 206507988 214824420 227602890 229453320 231673836 235189653 242776416 258134985 266461920 273123468 275343984 286432560 289592295 303470520 305937760 308898448 313586204 341404335 343719072 344179980 347510754 364164624 386123060 391982755 404627360 413015976 429648840 455205780 458906640 463347672 470379306 516269970 521266131 546246936 550687968 572865120 579184590 598490743 606941040 617796896 627172408 682808670 688359960 695021508 705568959 728329248 772246120 783965510 791552273 826031952 859297680 868776885 910411560 917813280 926695344 940758612 1032539940 1042532262 1092493872 1158369180 1175948265 1196981486 1213882080 1254344816 1365617340 1376719920 1390043016 1411137918 1544492240 1567931020 1583104546 1652063904 1718595360 1737553770 1795472229 1820823120 1853390688 1881517224 2065079880 2085064524 2116706877 2184987744 2316738360 2351896530 2374656819 2393962972 2508689632 2606330655 2731234680 2753439840 2780086032 2822275836 2992453715 3088984480 3135862040 3166209092 3475107540 3527844795 3590944458 3641646240 3763034448 3957761365 4130159760 4170129048 4233413754 4633476720 4703793060 4749313638 4787925944 5212661310 5386416687 5462469360 5560172064 5644551672 5984907430 6271724080 6332418184 6950215080 7055689590 7123970457 7181888916 7526068896 7915522730 8260319520 8340258096 8466827508 8977361145 9266953440 9407586120 9498627276 9575851888 10425322620 10583534385 10772833374 10924938720 11289103344 11873284095 11969814860 12543448160 12664836368 13900430160 14111379180 14247940914 14363777832 15831045460 16159250061 16680516192 16933655016 17954722290 18815172240 18997254552 19151703776 20850645240 21167068770 21371911371 21545666748 22578206688 23746568190 23939629720 24538120463 25329672736 26932083435 27800860320 28222758360 28495881828 28727555664 31662090920 32318500122 33867310032 35619852285 35909444580 37630344480 37994509104 41701290480 42334137540 42743822742 43091333496 47493136380 47879259440 49076240926 53864166870 56445516720 56991763656 57455111328 63324181840 64637000244 67734620064 71239704570 71818889160 73614361389 75989018208 80796250305 83402580960 84668275080 85487645484 86182666992 94986272760 95758518880 98152481852 106859556855 107728333740 112891033440 113983527312 122690602315 126648363680 129274000488 142479409140 143637778320 147228722778 161592500610 169336550160 170975290968 172365333984 189972545520 196304963704 213719113710 215456667480 220843084167 227967054624 245381204630 258548000976 284958818280 287275556640 294457445556 323185001220 338673100320 341950581936 368071806945 379945091040 392609927408 427438227420 430913334960 441686168334 490762409260 517096001952 569917636560 588914891112 646370002440 662529252501 683901163872 736143613890 785219854816 854876454840 861826669920 883372336668 981524818520 1104215420835 1139835273120 1177829782224 1292740004880 1325058505002 1472287227780 1709752909680 1766744673336 1963049637040 2208430841670 2355659564448 2585480009760 2650117010004 2944574455560 3312646262505 3419505819360 3533489346672 3926099274080 4416861683340 5300234020008 5889148911120 6625292525010 7066978693344 8833723366680 10600468040016 11778297822240 13250585050020 17667446733360 21200936080032 26501170100040 35334893466720 53002340200080 106004680400160
- Sum of all divisors σ(n): 393585558589440
- Sum of proper divisors (its aliquot sum) s(n): 287580878189280
- 106004680400160 is an abundant number, because the sum of its proper divisors (287580878189280) is greater than itself. Its abundance is 181576197789120
Bases of 106004680400160
- Binary: 110000001101001001000110101000111011101001000002
- Hexadecimal: 0x60692351DD20
- Base-36: 11KPVLR0O0
Squares and roots of 106004680400160
- 106004680400160 squared (1060046804001602) is 11236992266740065657728025600
- 106004680400160 cubed (1060046804001603) is 1191173773894850128685153554356254724096000
-
The
square root of 106004680400160 is 10295857.4388032393 -
The
cube root of 106004680400160 is 47326.9314602417
Scales and comparisons
How big is 106004680400160?- 106,004,680,400,160 seconds is equal to 3,370,620 years, 49 weeks, 3 hours, 36 minutes.
-
To count from 1 to 106,004,680,400,160 would take you about eight million, four hundred twenty-six thousand, five hundred fifty-two 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 106004680400160 cubic inches would be around 3943.9 feet tall.
Recreational maths with 106004680400160
- 106004680400160 backwards is 061004086400601
- 106004680400160 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 106004680400160's digits is 36
- More coming soon!
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The information we have on file for 106004680400160 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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