424157338090340486400
424,157,338,090,340,486,400 is an even composite number composed of five prime numbers multiplied together.
424157338090340486400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 424157338090340486400:
28 × 3 × 52 × 179 × 123416357684573
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 179 × 123416357684573)See below for interesting mathematical facts about the number 424157338090340486400 from the Numbermatics database.
Names of 424157338090340486400
- Cardinal: 424157338090340486400 can be written as Four hundred twenty-four quintillion, one hundred fifty-seven quadrillion, three hundred thirty-eight trillion, ninety billion, three hundred forty million, four hundred eighty-six thousand, four hundred.
Scientific notation
- Scientific notation: 4.241573380903404864 × 1020
Factors of 424157338090340486400
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 123416357684762
Divisors of 424157338090340486400
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 179 192 200 240 256 300 320 358 384 400 480 537 600 640 716 768 800 895 960 1074 1200 1280 1432 1600 1790 1920 2148 2400 2685 2864 3200 3580 3840 4296 4475 4800 5370 5728 6400 7160 8592 8950 9600 10740 11456 13425 14320 17184 17900 19200 21480 22912 26850 28640 34368 35800 42960 45824 53700 57280 68736 71600 85920 107400 114560 137472 143200 171840 214800 229120 286400 343680 429600 572800 687360 859200 1145600 1718400 3436800 123416357684573 246832715369146 370249073053719 493665430738292 617081788422865 740498146107438 987330861476584 1234163576845730 1480996292214876 1851245365268595 1974661722953168 2468327153691460 2961992584429752 3085408942114325 3702490730537190 3949323445906336 4936654307382920 5923985168859504 6170817884228650 7404981461074380 7898646891812672 9256226826342975 9873308614765840 11847970337719008 12341635768457300 14809962922148760 15797293783625344 18512453652685950 19746617229531680 22091528025538567 23695940675438016 24683271536914600 29619925844297520 31594587567250688 37024907305371900 39493234459063360 44183056051077134 47391881350876032 49366543073829200 59239851688595040 66274584076615701 74049814610743800 78986468918126720 88366112102154268 94783762701752064 98733086147658400 110457640127692835 118479703377190080 132549168153231402 148099629221487600 157972937836253440 176732224204308536 197466172295316800 220915280255385670 236959406754380160 265098336306462804 296199258442975200 331372920383078505 353464448408617072 394932344590633600 441830560510771340 473918813508760320 530196672612925608 552288200638464175 592398516885950400 662745840766157010 706928896817234144 789864689181267200 883661121021542680 1060393345225851216 1104576401276928350 1184797033771900800 1325491681532314020 1413857793634468288 1656864601915392525 1767322242043085360 2120786690451702432 2209152802553856700 2369594067543801600 2650983363064628040 2827715587268936576 3313729203830785050 3534644484086170720 4241573380903404864 4418305605107713400 5301966726129256080 5655431174537873152 6627458407661570100 7069288968172341440 8483146761806809728 8836611210215426800 10603933452258512160 13254916815323140200 14138577936344682880 16966293523613619456 17673222420430853600 21207866904517024320 26509833630646280400 28277155872689365760 35346444840861707200 42415733809034048640 53019667261292560800 70692889681723414400 84831467618068097280 106039334522585121600 141385779363446828800 212078669045170243200 424157338090340486400
- Sum of all divisors σ(n): 1407627735898562448480
- Sum of proper divisors (its aliquot sum) s(n): 983470397808221962080
- 424157338090340486400 is an abundant number, because the sum of its proper divisors (983470397808221962080) is greater than itself. Its abundance is 559313059717881475680
Bases of 424157338090340486400
- Binary: 1011011111110010111011001001110110110000101100000001000001101000000002
- Hexadecimal: 0x16FE5D93B616020D00
- Base-36: 2HIJQZPJX9KT1C
Squares and roots of 424157338090340486400
- 424157338090340486400 squared (4241573380903404864002) is 179909447455883404458259809882988584960000
- 424157338090340486400 cubed (4241573380903404864003) is 76309912330191484264512562372801649403421152330934124544000000
-
The
square root of 424157338090340486400 is 20595080434.1799181621 -
The
cube root of 424157338090340486400 is 7513500.6495407695
Scales and comparisons
How big is 424157338090340486400?- 424,157,338,090,340,486,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 424,157,338,090,340,486,400 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 424157338090340486400 cubic inches would be around 626125.1 feet tall.
Recreational maths with 424157338090340486400
- 424157338090340486400 backwards is 004684043090833751424
- 424157338090340486400 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 424157338090340486400's digits is 75
- More coming soon!
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