468829100139891032400
468,829,100,139,891,032,400 is an even composite number composed of six prime numbers multiplied together.
468829100139891032400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 468829100139891032400:
24 × 3 × 52 × 1873 × 2521 × 82741366919
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 1873 × 2521 × 82741366919)See below for interesting mathematical facts about the number 468829100139891032400 from the Numbermatics database.
Names of 468829100139891032400
- Cardinal: 468829100139891032400 can be written as Four hundred sixty-eight quintillion, eight hundred twenty-nine quadrillion, one hundred trillion, one hundred thirty-nine billion, eight hundred ninety-one million, thirty-two thousand, four hundred.
Scientific notation
- Scientific notation: 4.688291001398910324 × 1020
Factors of 468829100139891032400
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 10
- Sum of prime factors: 82741371323
Divisors of 468829100139891032400
- Number of divisors d(n): 240
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 1873 2521 3746 5042 5619 7492 7563 9365 10084 11238 12605 14984 15126 18730 20168 22476 25210 28095 29968 30252 37460 37815 40336 44952 46825 50420 56190 60504 63025 74920 75630 89904 93650 100840 112380 121008 126050 140475 149840 151260 187300 189075 201680 224760 252100 280950 302520 374600 378150 449520 504200 561900 605040 749200 756300 1008400 1123800 1512600 2247600 3025200 4721833 9443666 14165499 18887332 23609165 28330998 37774664 47218330 56661996 70827495 75549328 94436660 113323992 118045825 141654990 188873320 226647984 236091650 283309980 354137475 377746640 472183300 566619960 708274950 944366600 1133239920 1416549900 1888733200 2833099800 5666199600 82741366919 165482733838 248224100757 330965467676 413706834595 496448201514 661930935352 827413669190 992896403028 1241120503785 1323861870704 1654827338380 1985792806056 2068534172975 2482241007570 3309654676760 3971585612112 4137068345950 4964482015140 6205602518925 6619309353520 8274136691900 9928964030280 12411205037850 16548273383800 19857928060560 24822410075700 33096546767600 49644820151400 99289640302800 154974580239287 208590986002799 309949160478574 417181972005598 464923740717861 619898320957148 625772958008397 774872901196435 834363944011196 929847481435722 1042954930013995 1239796641914296 1251545916016794 1549745802392870 1668727888022392 1859694962871444 2085909860027990 2324618703589305 2479593283828592 2503091832033588 3099491604785740 3128864790041985 3337455776044784 3719389925742888 3874364505982175 4171819720055980 4649237407178610 5006183664067176 5214774650069975 6198983209571480 6257729580083970 7438779851485776 7748729011964350 8343639440111960 9298474814357220 10012367328134352 10429549300139950 11623093517946525 12397966419142960 12515459160167940 15497458023928700 15644323950209925 16687278880223920 18596949628714440 20859098600279900 23246187035893050 25030918320335880 30994916047857400 31288647900419850 37193899257428880 41718197200559800 46492374071786100 50061836640671760 61989832095714800 62577295800839700 83436394401119600 92984748143572200 125154591601679400 185969496287144400 250309183203358800 390690916783242527 781381833566485054 1172072750349727581 1562763667132970108 1953454583916212635 2344145500699455162 3125527334265940216 3906909167832425270 4688291001398910324 5860363751748637905 6251054668531880432 7813818335664850540 9376582002797820648 9767272919581063175 11720727503497275810 15627636671329701080 18753164005595641296 19534545839162126350 23441455006994551620 29301818758743189525 31255273342659402160 39069091678324252700 46882910013989103240 58603637517486379050 78138183356648505400 93765820027978206480 117207275034972758100 156276366713297010800 234414550069945516200 468829100139891032400
- Sum of all divisors σ(n): 1503213748227400909440
- Sum of proper divisors (its aliquot sum) s(n): 1034384648087509877040
- 468829100139891032400 is an abundant number, because the sum of its proper divisors (1034384648087509877040) is greater than itself. Its abundance is 565555547947618844640
Bases of 468829100139891032400
- Binary: 1100101101010010011111000111010011101001111000011111010000001010100002
- Hexadecimal: 0x196A4F8E9D3C3E8150
- Base-36: 2QXXZ1QX2NFQ6O
Squares and roots of 468829100139891032400
- 468829100139891032400 squared (4688291001398910324002) is 219800725137979973655895180945937849760000
- 468829100139891032400 cubed (4688291001398910324003) is 103048976176534677228937698342469169967628070389162492224000000
-
The
square root of 468829100139891032400 is 21652461757.0356427221 -
The
cube root of 468829100139891032400 is 7768518.1870218425
Scales and comparisons
How big is 468829100139891032400?- 468,829,100,139,891,032,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 468,829,100,139,891,032,400 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 468829100139891032400 cubic inches would be around 647376.5 feet tall.
Recreational maths with 468829100139891032400
- 468829100139891032400 backwards is 004230198931001928864
- The number of decimal digits it has is: 21
- The sum of 468829100139891032400's digits is 78
- More coming soon!
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