90142435921098659280
90,142,435,921,098,659,280 is an even composite number composed of seven prime numbers multiplied together.
What does the number 90142435921098659280 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 480 divisors.
90142435921098659280 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 90142435921098659280:
24 × 3 × 5 × 72 × 13 × 19 × 31033089564949
(2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 13 × 19 × 31033089564949)See below for interesting mathematical facts about the number 90142435921098659280 from the Numbermatics database.
Names of 90142435921098659280
- Cardinal: 90142435921098659280 can be written as Ninety quintillion, one hundred forty-two quadrillion, four hundred thirty-five trillion, nine hundred twenty-one billion, ninety-eight million, six hundred fifty-nine thousand, two hundred eighty.
Scientific notation
- Scientific notation: 9.014243592109865928 × 1019
Factors of 90142435921098659280
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 31033089564998
Divisors of 90142435921098659280
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 19 20 21 24 26 28 30 35 38 39 40 42 48 49 52 56 57 60 65 70 76 78 80 84 91 95 98 104 105 112 114 120 130 133 140 147 152 156 168 182 190 195 196 208 210 228 240 245 247 260 266 273 280 285 294 304 312 336 364 380 390 392 399 420 455 456 490 494 520 532 546 560 570 588 624 637 665 728 735 741 760 780 784 798 840 910 912 931 980 988 1040 1064 1092 1140 1176 1235 1274 1330 1365 1456 1470 1482 1520 1560 1596 1680 1729 1820 1862 1911 1960 1976 1995 2128 2184 2280 2352 2470 2548 2660 2730 2793 2940 2964 3120 3185 3192 3458 3640 3705 3724 3822 3920 3952 3990 4368 4560 4655 4940 5096 5187 5320 5460 5586 5880 5928 6370 6384 6916 7280 7410 7448 7644 7980 8645 9310 9555 9880 10192 10374 10640 10920 11172 11760 11856 12103 12740 13832 13965 14820 14896 15288 15960 17290 18620 19110 19760 20748 21840 22344 24206 25480 25935 27664 27930 29640 30576 31920 34580 36309 37240 38220 41496 44688 48412 50960 51870 55860 59280 60515 69160 72618 74480 76440 82992 96824 103740 111720 121030 138320 145236 152880 181545 193648 207480 223440 242060 290472 363090 414960 484120 580944 726180 968240 1452360 2904720 31033089564949 62066179129898 93099268694847 124132358259796 155165447824745 186198537389694 217231626954643 248264716519592 310330895649490 372397074779388 403430164344337 434463253909286 465496343474235 496529433039184 589628701734031 620661791298980 651694880863929 744794149558776 806860328688674 868926507818572 930992686948470 1086158134773215 1179257403468062 1210290493033011 1241323582597960 1303389761727858 1489588299117552 1520621388682501 1613720657377348 1737853015637144 1768886105202093 1861985373896940 2017150821721685 2172316269546430 2358514806936124 2420580986066022 2482647165195920 2606779523455716 2824011150410359 2948143508670155 3041242777365002 3227441314754696 3258474404319645 3475706031274288 3537772210404186 3723970747793880 4034301643443370 4127400912138217 4344632539092860 4561864166047503 4717029613872248 4841161972132044 5213559046911432 5648022300820718 5896287017340310 6051452465165055 6082485554730004 6454882629509392 6516948808639290 7075544420808372 7447941495587760 7603106943412505 7665173122542403 8068603286886740 8254801824276434 8472033451231077 8689265078185720 8844430526010465 9123728332095006 9434059227744496 9682323944264088 10427118093822864 11296044601641436 11792574034680620 12102904930330110 12164971109460008 12382202736414651 13033897617278580 14120055752051795 14151088841616744 15206213886825010 15330346245084806 16137206573773480 16509603648552868 16944066902462154 17378530156371440 17688861052020930 18247456664190012 19364647888528176 19768078052872513 20637004560691085 22592089203282872 22809320830237515 22995519367627209 23585148069361240 24205809860660220 24329942218920016 24764405472829302 26067795234557160 28240111504103590 28302177683233488 28891806384967519 30412427773650020 30660692490169612 32274413147546960 33019207297105736 33888133804924308 35377722104041860 36494913328380024 38325865612712015 39536156105745026 41274009121382170 42360167256155385 45184178406565744 45618641660475030 45991038735254418 47170296138722480 48411619721320440 49528810945658604 52135590469114320 53656211857796821 56480223008207180 57783612769935038 59304234158617539 60824855547300040 61321384980339224 61911013682073255 66038414594211472 67776267609848616 70755444208083720 72989826656760048 76651731225424030 79072312211490052 82548018242764340 84720334512310770 86675419154902557 91237283320950060 91982077470508836 96823239442640880 98840390264362565 99057621891317208 107312423715593642 112960446016414360 114977596838136045 115567225539870076 118608468317235078 121649711094600080 122642769960678448 123822027364146510 135552535219697232 141510888416167440 144459031924837595 153303462450848060 158144624422980104 160968635573390463 165096036485528680 169440669024621540 173350838309805114 182474566641900120 183964154941017672 197680780528725130 198115243782634416 214624847431187284 225920892032828720 229955193676272090 231134451079740152 237216936634470156 247644054728293020 268281059288984105 288918063849675190 296521170793087695 306606924901696120 316289248845960208 321937271146780926 330192072971057360 338881338049243080 346701676619610228 364949133283800240 367928309882035344 375593483004577747 395361561057450260 429249694862374568 433377095774512785 459910387352544180 462268902159480304 474433873268940312 495288109456586040 536562118577968210 577836127699350380 593042341586175390 613213849803392240 643874542293561852 677762676098486160 693403353239220456 751186966009155494 790723122114900520 804843177866952315 858499389724749136 866754191549025570 919820774705088360 948867746537880624 990576218913172080 1073124237155936420 1126780449013733241 1155672255398700760 1186084683172350780 1287749084587123704 1386806706478440912 1502373932018310988 1581446244229801040 1609686355733904630 1733508383098051140 1839641549410176720 1877967415022888735 2146248474311872840 2253560898027466482 2311344510797401520 2372169366344701560 2575498169174247408 3004747864036621976 3219372711467809260 3467016766196102280 3755934830045777470 4292496948623745680 4507121796054932964 4744338732689403120 5633902245068666205 6009495728073243952 6438745422935618520 6934033532392204560 7511869660091554940 9014243592109865928 11267804490137332410 12877490845871237040 15023739320183109880 18028487184219731856 22535608980274664820 30047478640366219760 45071217960549329640 90142435921098659280
- Sum of all divisors σ(n): 368494353435711888000
- Sum of proper divisors (its aliquot sum) s(n): 278351917514613228720
- 90142435921098659280 is an abundant number, because the sum of its proper divisors (278351917514613228720) is greater than itself. Its abundance is 188209481593514569440
Bases of 90142435921098659280
- Binary: 10011100010111110100100001111100000000010010111111101010101110100002
- Hexadecimal: 0x4E2FA43E0097F55D0
- Base-36: J0UYIOIMH3EMO
Squares and roots of 90142435921098659280
- 90142435921098659280 squared (901424359210986592802) is 8125658753789377893891833727413530118400
- 90142435921098659280 cubed (901424359210986592803) is 732466673530173384372773116373220004479701878190139658752000
-
The
square root of 90142435921098659280 is 9494337044.8440821759 -
The
cube root of 90142435921098659280 is 4483767.6227524105
Scales and comparisons
How big is 90142435921098659280?- 90,142,435,921,098,659,280 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 90,142,435,921,098,659,280 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 90142435921098659280 cubic inches would be around 373647.3 feet tall.
Recreational maths with 90142435921098659280
- 90142435921098659280 backwards is 08295689012953424109
- The number of decimal digits it has is: 20
- The sum of 90142435921098659280's digits is 87
- More coming soon!
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The information we have on file for 90142435921098659280 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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