106403408939162160
106,403,408,939,162,160 is an even composite number composed of seven prime numbers multiplied together.
106403408939162160 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 106403408939162160:
24 × 32 × 5 × 7 × 19 × 23 × 48310726517
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 19 × 23 × 48310726517)See below for interesting mathematical facts about the number 106403408939162160 from the Numbermatics database.
Names of 106403408939162160
- Cardinal: 106403408939162160 can be written as One hundred six quadrillion, four hundred three trillion, four hundred eight billion, nine hundred thirty-nine million, one hundred sixty-two thousand, one hundred sixty.
Scientific notation
- Scientific notation: 1.0640340893916216 × 1017
Factors of 106403408939162160
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 48310726576
Divisors of 106403408939162160
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 19 20 21 23 24 28 30 35 36 38 40 42 45 46 48 56 57 60 63 69 70 72 76 80 84 90 92 95 105 112 114 115 120 126 133 138 140 144 152 161 168 171 180 184 190 207 210 228 230 240 252 266 276 280 285 304 315 322 336 342 345 360 368 380 399 414 420 437 456 460 483 504 532 552 560 570 630 644 665 684 690 720 760 798 805 828 840 855 874 912 920 966 1008 1035 1064 1104 1140 1197 1260 1288 1311 1330 1368 1380 1449 1520 1596 1610 1656 1680 1710 1748 1840 1932 1995 2070 2128 2185 2280 2394 2415 2520 2576 2622 2660 2736 2760 2898 3059 3192 3220 3312 3420 3496 3864 3933 3990 4140 4370 4560 4788 4830 5040 5244 5320 5520 5796 5985 6118 6384 6440 6555 6840 6992 7245 7728 7866 7980 8280 8740 9177 9576 9660 10488 10640 11592 11970 12236 12880 13110 13680 14490 15295 15732 15960 16560 17480 18354 19152 19320 19665 20976 23184 23940 24472 26220 27531 28980 30590 31464 31920 34960 36708 38640 39330 45885 47880 48944 52440 55062 57960 61180 62928 73416 78660 91770 95760 104880 110124 115920 122360 137655 146832 157320 183540 220248 244720 275310 314640 367080 440496 550620 734160 1101240 2202480 48310726517 96621453034 144932179551 193242906068 241553632585 289864359102 338175085619 386485812136 434796538653 483107265170 579728718204 676350171238 724660897755 772971624272 869593077306 917903803823 966214530340 1014525256857 1111146709891 1159457436408 1352700342476 1449321795510 1690875428095 1739186154612 1835807607646 1932429060680 2029050513714 2173982693265 2222293419782 2318914872816 2705400684952 2753711411469 2898643591020 3043575770571 3333440129673 3381750856190 3478372309224 3671615215292 3864858121360 4058101027428 4347965386530 4444586839564 4589519019115 5072626284285 5410801369904 5507422822938 5555733549455 5797287182040 6087151541142 6425326626761 6666880259346 6763501712380 6956744618448 7343230430584 7778026969237 8116202054856 8261134234407 8695930773060 8889173679128 9179038038230 10000320389019 10145252568570 11014845645876 11111467098910 11594574364080 12174303082284 12850653253522 13333760518692 13527003424760 13768557057345 14686460861168 15217878852855 15556053938474 16232404109712 16522268468814 16667200648365 17391861546120 17778347358256 18358076076460 19275979880283 20000640778038 20290505137140 21111787487929 22029691291752 22222934197820 23334080907711 24348606164568 25701306507044 26667521037384 27054006849520 27537114114690 30435757705710 31112107876948 32126633133805 33044536937628 33334401296730 34783723092240 36716152152920 38551959760566 38890134846185 40001281556076 40581010274280 41305671172035 42223574975858 44059382583504 44445868395640 46668161815422 48697212329136 50001601945095 51402613014088 53335042074768 55074228229380 57827939640849 60871515411420 62224215753896 63335362463787 64253266267610 66089073875256 66668802593460 70002242723133 73432304305840 77103919521132 77780269692370 80002563112152 81162020548560 82611342344070 84447149951716 88891736791280 93336323630844 96379899401415 100003203890190 102805226028176 105558937439645 110148456458760 115655879281698 116670404538555 121743030822840 124448431507792 126670724927574 128506532535220 132178147750512 133337605186920 140004485446266 147782512415503 154207839042264 155560539384740 160005126224304 165222684688140 168894299903432 186672647261688 190006087391361 192759798802830 200006407780380 211117874879290 220296912917520 231311758563396 233340809077110 243486061645680 253341449855148 257013065070440 266675210373840 280008970892532 289139698204245 295565024831006 308415678084528 311121078769480 316676812318935 330445369376280 337788599806864 350011213615665 373345294523376 380012174782722 385519597605660 400012815560760 422235749758580 443347537246509 462623517126792 466681618154220 506682899710296 514026130140880 560017941785064 578279396408490 591130049662012 622242157538960 633353624637870 660890738752560 700022427231330 738912562077515 760024349565444 771039195211320 800025631121520 844471499517160 886695074493018 925247034253584 933363236308440 950030436956805 1013365799420592 1120035883570128 1156558792816980 1182260099324024 1266707249275740 1330042611739527 1400044854462660 1477825124155030 1520048699130888 1542078390422640 1688942999034320 1773390148986036 1866726472616880 1900060873913610 2216737686232545 2313117585633960 2364520198648048 2533414498551480 2660085223479054 2800089708925320 2955650248310060 3040097398261776 3546780297972072 3800121747827220 4433475372465090 4626235171267920 5066828997102960 5320170446958108 5600179417850640 5911300496620120 6650213058697635 7093560595944144 7600243495654440 8866950744930180 10640340893916216 11822600993240240 13300426117395270 15200486991308880 17733901489860360 21280681787832432 26600852234790540 35467802979720720 53201704469581080 106403408939162160
- Sum of all divisors σ(n): 448570893006812160
- Sum of proper divisors (its aliquot sum) s(n): 342167484067650000
- 106403408939162160 is an abundant number, because the sum of its proper divisors (342167484067650000) is greater than itself. Its abundance is 235764075128487840
Bases of 106403408939162160
- Binary: 1011110100000010101010110001100001011010110011010001100002
- Hexadecimal: 0x17A055630B59A30
- Base-36: T3OUZ97RQK0
Squares and roots of 106403408939162160
- 106403408939162160 squared (1064034089391621602) is 11321685433874573859308122775865600
- 106403408939162160 cubed (1064034089391621603) is 1204665925101111850096278740221872681691932765696000
-
The
square root of 106403408939162160 is 326195353.9509141447 -
The
cube root of 106403408939162160 is 473861.9609955583
Scales and comparisons
How big is 106403408939162160?- 106,403,408,939,162,160 seconds is equal to 3,383,299,276 years, 47 weeks, 2 days, 20 hours, 36 minutes.
-
To count from 1 to 106,403,408,939,162,160 would take you about ten billion, one hundred forty-nine million, eight hundred ninety-seven thousand, eight 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 106403408939162160 cubic inches would be around 39488.5 feet tall.
Recreational maths with 106403408939162160
- 106403408939162160 backwards is 061261939804304601
- 106403408939162160 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 106403408939162160's digits is 63
- More coming soon!
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