42289882542204244200
42,289,882,542,204,244,200 is an even composite number composed of five prime numbers multiplied together.
What does the number 42289882542204244200 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 288 divisors.
42289882542204244200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 42289882542204244200:
23 × 33 × 52 × 112 × 64722807686263
(2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 11 × 11 × 64722807686263)See below for interesting mathematical facts about the number 42289882542204244200 from the Numbermatics database.
Names of 42289882542204244200
- Cardinal: 42289882542204244200 can be written as Forty-two quintillion, two hundred eighty-nine quadrillion, eight hundred eighty-two trillion, five hundred forty-two billion, two hundred four million, two hundred forty-four thousand, two hundred.
Scientific notation
- Scientific notation: 4.22898825422042442 × 1019
Factors of 42289882542204244200
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 64722807686284
Divisors of 42289882542204244200
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 25 27 30 33 36 40 44 45 50 54 55 60 66 72 75 88 90 99 100 108 110 120 121 132 135 150 165 180 198 200 216 220 225 242 264 270 275 297 300 330 360 363 396 440 450 484 495 540 550 594 600 605 660 675 726 792 825 900 968 990 1080 1089 1100 1188 1210 1320 1350 1452 1485 1650 1800 1815 1980 2178 2200 2376 2420 2475 2700 2904 2970 3025 3267 3300 3630 3960 4356 4840 4950 5400 5445 5940 6050 6534 6600 7260 7425 8712 9075 9900 10890 11880 12100 13068 14520 14850 16335 18150 19800 21780 24200 26136 27225 29700 32670 36300 43560 54450 59400 65340 72600 81675 108900 130680 163350 217800 326700 653400 64722807686263 129445615372526 194168423058789 258891230745052 323614038431315 388336846117578 517782461490104 582505269176367 647228076862630 711950884548893 776673692235156 970842115293945 1165010538352734 1294456153725260 1423901769097786 1553347384470312 1618070192156575 1747515807529101 1941684230587890 2135852653646679 2330021076705468 2588912307450520 2847803538195572 2912526345881835 3236140384313150 3495031615058202 3559754422744465 3883368461175780 4271705307293358 4660042153410936 4854210576469725 5695607076391144 5825052691763670 6407557960940037 6472280768626300 6990063230116404 7119508845488930 7766736922351560 7831459730037823 8543410614586716 8737579037645505 9708421152939450 10679263268233395 11650105383527340 12815115921880074 12944561537252600 13980126460232808 14239017690977860 14562631729409175 15662919460075646 17086821229173432 17475158075291010 17798772113722325 19222673882820111 19416842305878900 21358526536466790 23300210767054680 23494379190113469 25630231843760148 28478035381955720 29125263458818350 31325838920151292 32037789804700185 34950316150582020 35597544227444650 38445347765640222 38833684611757800 39157298650189115 42717053072933580 43687895188227525 46988758380226938 51260463687520296 53396316341166975 58250526917636700 62651677840302584 64075579609400370 69900632301164040 70483137570340407 71195088454889300 76890695531280444 78314597300378230 85434106145867160 87375790376455050 93977516760453876 96113369414100555 106792632682333950 116501053835273400 117471895950567345 128151159218800740 140966275140680814 142390176909778600 153781391062560888 156629194600756460 160188949023500925 174751580752910100 187955033520907752 192226738828201110 195786493250945575 211449412711021221 213585265364667900 234943791901134690 256302318437601480 281932550281361628 313258389201512920 320377898047001850 349503161505820200 352415687851702035 384453477656402220 391572986501891150 422898825422042442 427170530729335800 469887583802269380 480566847070502775 563865100562723256 587359479752836725 640755796094003700 704831375703404070 768906955312804440 783145973003782300 845797650844084884 939775167604538760 961133694141005550 1057247063555106105 1174718959505673450 1281511592188007400 1409662751406808140 1566291946007564600 1691595301688169768 1762078439258510175 1922267388282011100 2114494127110212210 2349437919011346900 2819325502813616280 3524156878517020350 3844534776564022200 4228988254220424420 4698875838022693800 5286235317775530525 7048313757034040700 8457976508440848840 10572470635551061050 14096627514068081400 21144941271102122100 42289882542204244200
- Sum of all divisors σ(n): 160111281654279883200
- Sum of proper divisors (its aliquot sum) s(n): 117821399112075639000
- 42289882542204244200 is an abundant number, because the sum of its proper divisors (117821399112075639000) is greater than itself. Its abundance is 75531516569871394800
Bases of 42289882542204244200
- Binary: 1001001010111000111101100000011100010110010001001111010000111010002
- Hexadecimal: 0x24AE3D81C5913D0E8
- Base-36: 8XAR47XCYB560
Squares and roots of 42289882542204244200
- 42289882542204244200 squared (422898825422042442002) is 1788434165433431308219811228493233640000
- 42289882542204244200 cubed (422898825422042442003) is 75632670790644883850012834801193883045877730590214888000000
-
The
square root of 42289882542204244200 is 6503067164.2083048841 -
The
cube root of 42289882542204244200 is 3484005.4548718597
Scales and comparisons
How big is 42289882542204244200?- 42,289,882,542,204,244,200 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 42,289,882,542,204,244,200 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 42289882542204244200 cubic inches would be around 290333.8 feet tall.
Recreational maths with 42289882542204244200
- 42289882542204244200 backwards is 00244240224528898224
- 42289882542204244200 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 42289882542204244200's digits is 72
- More coming soon!
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