90133829829120
90,133,829,829,120 is an even composite number composed of seven prime numbers multiplied together.
What does the number 90133829829120 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 960 divisors.
90133829829120 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 90133829829120:
29 × 3 × 5 × 72 × 11 × 19 × 1145999
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 11 × 19 × 1145999)See below for interesting mathematical facts about the number 90133829829120 from the Numbermatics database.
Names of 90133829829120
- Cardinal: 90133829829120 can be written as Ninety trillion, one hundred thirty-three billion, eight hundred twenty-nine million, eight hundred twenty-nine thousand, one hundred twenty.
Scientific notation
- Scientific notation: 9.013382982912 × 1013
Factors of 90133829829120
Divisors of 90133829829120
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 19 20 21 22 24 28 30 32 33 35 38 40 42 44 48 49 55 56 57 60 64 66 70 76 77 80 84 88 95 96 98 105 110 112 114 120 128 132 133 140 147 152 154 160 165 168 176 190 192 196 209 210 220 224 228 231 240 245 256 264 266 280 285 294 304 308 320 330 336 352 380 384 385 392 399 418 420 440 448 456 462 480 490 512 528 532 539 560 570 588 608 616 627 640 660 665 672 704 735 760 768 770 784 798 836 840 880 896 912 924 931 960 980 1045 1056 1064 1078 1120 1140 1155 1176 1216 1232 1254 1280 1320 1330 1344 1408 1463 1470 1520 1536 1540 1568 1596 1617 1672 1680 1760 1792 1824 1848 1862 1920 1960 1995 2090 2112 2128 2156 2240 2280 2310 2352 2432 2464 2508 2560 2640 2660 2688 2695 2793 2816 2926 2940 3040 3080 3135 3136 3192 3234 3344 3360 3520 3584 3648 3696 3724 3840 3920 3990 4180 4224 4256 4312 4389 4480 4560 4620 4655 4704 4864 4928 5016 5280 5320 5376 5390 5586 5632 5852 5880 6080 6160 6270 6272 6384 6468 6688 6720 7040 7296 7315 7392 7448 7680 7840 7980 8085 8360 8448 8512 8624 8778 8960 9120 9240 9310 9408 9728 9856 10032 10241 10560 10640 10752 10780 11172 11704 11760 12160 12320 12540 12544 12768 12936 13376 13440 13965 14080 14592 14630 14784 14896 15680 15960 16170 16720 16896 17024 17248 17556 17920 18240 18480 18620 18816 19712 20064 20482 21120 21280 21560 21945 22344 23408 23520 24320 24640 25080 25088 25536 25872 26752 26880 27930 28160 29184 29260 29568 29792 30723 31360 31920 32340 33440 34048 34496 35112 36480 36960 37240 37632 39424 40128 40964 42240 42560 43120 43890 44688 46816 47040 48640 49280 50160 51072 51205 51744 53504 53760 55860 58520 59136 59584 61446 62720 63840 64680 66880 68096 68992 70224 72960 73920 74480 75264 80256 81928 84480 85120 86240 87780 89376 93632 94080 98560 100320 102144 102410 103488 107008 111720 117040 118272 119168 122892 125440 127680 129360 133760 137984 140448 145920 147840 148960 153615 160512 163856 170240 172480 175560 178752 187264 188160 197120 200640 204288 204820 206976 223440 234080 238336 245784 255360 258720 267520 275968 280896 295680 297920 307230 321024 327712 340480 344960 351120 357504 374528 376320 401280 409640 413952 446880 468160 476672 491568 510720 517440 535040 561792 591360 595840 614460 655424 689920 702240 715008 749056 802560 819280 827904 893760 936320 983136 1021440 1034880 1123584 1145999 1191680 1228920 1310848 1379840 1404480 1430016 1605120 1638560 1787520 1872640 1966272 2069760 2247168 2291998 2383360 2457840 2621696 2808960 3277120 3437997 3575040 3745280 3932544 4139520 4583996 4915680 5243392 5617920 5729995 6554240 6875994 7150080 7865088 8021993 9167992 9831360 11235840 11459990 12605989 13108480 13751988 15730176 16043986 17189985 18335984 19662720 21773981 22919980 24065979 25211978 26216960 27503976 32087972 34379970 36671968 37817967 39325440 40109965 43547962 45839960 48131958 50423956 55007952 56153951 63029945 64175944 65321943 68759940 73343936 75635934 78650880 80219930 87095924 88241923 91679920 96263916 100847912 108869905 110015904 112307902 120329895 126059890 128351888 130643886 137519880 146687872 151271868 152417867 160439860 168461853 174191848 176483846 183359840 189089835 192527832 201695824 217739810 220031808 224615804 239513791 240659790 252119780 256703776 261287772 264725769 275039760 280769755 293375744 302543736 304835734 320879720 326609715 336923706 348383696 352967692 366719680 378179670 385055664 403391648 435479620 440063616 441209615 449231608 457253601 479027582 481319580 504239560 513407552 522575544 529451538 550079520 561539510 586751488 605087472 609671468 617693461 641759440 653219430 673847412 696767392 705935384 718541373 733439360 756359340 762089335 770111328 806783296 842309265 870959240 880127232 882419230 898463216 914507202 958055164 962639160 1008479120 1026815104 1045151088 1058903076 1066925069 1100159040 1123079020 1197568955 1210174944 1219342936 1235386922 1283518880 1306438860 1323628845 1347694824 1393534784 1411870768 1437082746 1466878720 1512718680 1524178670 1540222656 1613566592 1676596537 1684618530 1741918480 1760254464 1764838460 1796926432 1829014404 1853080383 1916110328 1925278320 2016958240 2053630208 2090302176 2117806152 2133850138 2200318080 2246158040 2286268005 2395137910 2420349888 2438685872 2470773844 2567037760 2612877720 2647257690 2695389648 2787069568 2823741536 2874165492 2933757440 3025437360 3048357340 3080445312 3088467305 3200775207 3227133184 3353193074 3369237060 3483836960 3529676920 3592706865 3593852864 3658028808 3706160766 3832220656 3850556640 4033916480 4107260416 4180604352 4235612304 4267700276 4400636160 4492316080 4572536010 4790275820 4840699776 4877371744 4941547688 5029789611 5134075520 5225755440 5294515380 5334625345 5390779296 5574139136 5647483072 5748330984 6050874720 6096714680 6160890624 6176934610 6401550414 6454266368 6706386148 6738474120 6967673920 7059353840 7185413730 7187705728 7316057616 7412321532 7664441312 7701113280 8067832960 8361208704 8382982685 8471224608 8535400552 8801272320 8984632160 9145072020 9265401915 9580551640 9681399552 9754743488 9883095376 10059579222 10268151040 10451510880 10589030760 10669250690 10781558592 11148278272 11294966144 11496661968 11736175759 12101749440 12193429360 12321781248 12353869220 12803100828 13412772296 13476948240 13935347840 14118707680 14370827460 14375411456 14632115232 14824643064 15328882624 15402226560 16003876035 16135665920 16722417408 16765965370 16942449216 17070801104 17969264320 18290144040 18530803830 19161103280 19362799104 19509486976 19766190752 20119158444 20536302080 20903021760 21178061520 21338501380 21563117184 22589932288 22993323936 23472351518 24203498880 24386858720 24707738440 25148948055 25606201656 26825544592 26953896480 27870695680 28237415360 28741654920 28750822912 29264230464 29649286128 30657765248 30804453120 32007752070 32271331840 33444834816 33531930740 33884898432 34141602208 35208527277 35938528640 36580288080 37061607660 38322206560 39018973952 39532381504 40238316888 41806043520 42356123040 42677002760 43126234368 45179864576 45986647872 46944703036 48406997760 48773717440 49415476880 50297896110 51212403312 53651089184 53907792960 55741391360 56474830720 57483309840 58528460928 58680878795 59298572256 61315530496 61608906240 64015504140 67063861480 67769796864 68283204416 70417054554 71877057280 73160576160 74123215320 76644413120 78037947904 79064763008 80476633776 83612087040 84712246080 85354005520 86252468736 91973295744 93889406072 96813995520 97547434880 98830953760 100595792220 102424806624 107302178368 107815585920 112949661440 114966619680 117056921856 117361757590 118597144512 122631060992 128031008280 134127722960 135539593728 136566408832 140834109108 143754114560 146321152320 148246430640 153288826240 158129526016 160953267552 167224174080 169424492160 170708011040 176042636385 183946591488 187778812144 195094869760 197661907520 201191584440 204849613248 214604356736 215631171840 225899322880 229933239360 234113843712 234723515180 237194289024 256062016560 268255445920 273132817664 281668218216 292642304640 296492861280 306577652480 316259052032 321906535104 338848984320 341416022080 352085272770 367893182976 375557624288 390189739520 395323815040 402383168880 409699226496 429208713472 431262343680 459866478720 469447030360 474388578048 512124033120 536510891840 546265635328 563336436432 585284609280 592985722560 613155304960 643813070208 677697968640 682832044160 704170545540 751115248576 790647630080 804766337760 819398452992 858417426944 919732957440 938894060720 948777156096 1024248066240 1073021783680 1126672872864 1170569218560 1185971445120 1287626140416 1365664088320 1408341091080 1502230497152 1581295260160 1609532675520 1638796905984 1839465914880 1877788121440 2048496132480 2146043567360 2253345745728 2371942890240 2575252280832 2731328176640 2816682182160 3004460994304 3219065351040 3755576242880 4096992264960 4292087134720 4506691491456 4743885780480 5633364364320 6008921988608 6438130702080 7511152485760 8193984529920 9013382982912 11266728728640 12876261404160 15022304971520 18026765965824 22533457457280 30044609943040 45066914914560 90133829829120
- Sum of all divisors σ(n): 384908578560000
- Sum of proper divisors (its aliquot sum) s(n): 294774748730880
- 90133829829120 is an abundant number, because the sum of its proper divisors (294774748730880) is greater than itself. Its abundance is 204640918901760
Bases of 90133829829120
- Binary: 101000111111001111010101110100011000010000000002
- Hexadecimal: 0x51F9EAE8C200
- Base-36: VY6WR3DHC
Squares and roots of 90133829829120
- 90133829829120 squared (901338298291202) is 8124107279664762288399974400
- 90133829829120 cubed (901338298291203) is 732256903058818689143939684732164374528000
-
The
square root of 90133829829120 is 9493883.8116505303 -
The
cube root of 90133829829120 is 44836.2492656919
Scales and comparisons
How big is 90133829829120?- 90,133,829,829,120 seconds is equal to 2,865,976 years, 51 weeks, 2 days, 32 minutes.
-
To count from 1 to 90,133,829,829,120 would take you about seven million, one hundred sixty-four thousand, nine hundred forty-two 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 90133829829120 cubic inches would be around 3736.4 feet tall.
Recreational maths with 90133829829120
- 90133829829120 backwards is 02192892833109
- 90133829829120 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 90133829829120's digits is 57
- More coming soon!
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The information we have on file for 90133829829120 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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