90940309989984
90,940,309,989,984 is an even composite number composed of seven prime numbers multiplied together.
What does the number 90940309989984 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1728 divisors.
90940309989984 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 90940309989984:
25 × 32 × 7 × 133 × 19 × 67 × 1272
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 13 × 13 × 13 × 19 × 67 × 127 × 127)See below for interesting mathematical facts about the number 90940309989984 from the Numbermatics database.
Names of 90940309989984
- Cardinal: 90940309989984 can be written as Ninety trillion, nine hundred forty billion, three hundred nine million, nine hundred eighty-nine thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 9.0940309989984 × 1013
Factors of 90940309989984
Divisors of 90940309989984
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 19 21 24 26 28 32 36 38 39 42 48 52 56 57 63 67 72 76 78 84 91 96 104 112 114 117 126 127 133 134 144 152 156 168 169 171 182 201 208 224 228 234 247 252 254 266 268 273 288 304 312 336 338 342 364 381 399 402 416 456 468 469 494 504 507 508 532 536 546 603 608 624 672 676 684 728 741 762 798 804 819 871 889 912 936 938 988 1008 1014 1016 1064 1072 1092 1143 1183 1197 1206 1248 1273 1352 1368 1407 1456 1482 1521 1524 1596 1608 1638 1651 1729 1742 1778 1824 1872 1876 1976 2016 2028 2032 2128 2144 2184 2197 2223 2286 2366 2394 2412 2413 2546 2613 2667 2704 2736 2814 2912 2964 3042 3048 3192 3211 3216 3276 3302 3458 3484 3549 3556 3744 3752 3819 3952 4056 4064 4221 4256 4368 4394 4446 4572 4732 4788 4824 4826 4953 5092 5187 5226 5334 5408 5472 5628 5928 6084 6096 6097 6384 6422 6432 6552 6591 6604 6916 6968 7098 7112 7239 7504 7638 7839 7904 8001 8112 8442 8509 8736 8788 8892 8911 9144 9464 9576 9633 9648 9652 9906 10184 10374 10452 10647 10668 11256 11323 11457 11557 11856 12168 12192 12194 12768 12844 13104 13182 13208 13832 13936 14196 14224 14478 14859 15008 15276 15379 15561 15678 16002 16129 16224 16549 16884 16891 17018 17576 17784 17822 18288 18291 18928 19152 19266 19296 19304 19773 19812 20368 20748 20904 21294 21336 21463 21717 22477 22512 22646 22914 23114 23712 24336 24388 25527 25688 26208 26364 26416 26733 27664 27872 28392 28448 28899 28956 29718 30552 30758 31122 31356 31369 32004 32258 33098 33768 33782 33969 34036 34671 35152 35568 35644 36576 36582 37856 38304 38532 38608 39546 39624 40736 41496 41743 41808 42588 42672 42926 43434 44954 45024 45292 45828 46137 46228 48387 48672 48776 49647 50673 51054 51376 52728 52832 53466 54873 55328 56784 57798 57912 59436 59563 61104 61516 62244 62712 62738 64008 64389 64516 66196 67431 67536 67564 67938 68072 69342 70304 71136 71288 73164 76581 77064 77216 79092 79248 79261 80199 82992 83486 83616 85176 85344 85852 86868 89908 90584 91656 92274 92456 94107 96774 97552 99294 101346 101907 102108 102752 104013 105456 106932 109746 110617 112903 113568 115596 115824 115843 118872 119126 122208 123032 124488 125229 125424 125476 128016 128778 129032 132392 134862 135072 135128 135876 136144 138411 138684 142576 145161 146328 147199 148941 150241 152019 153162 154128 158184 158496 158522 160398 161671 165984 166972 170352 171704 173736 178689 179816 181168 183312 184548 184912 188214 193167 193548 195104 198588 202293 202692 203814 204216 208026 209677 210912 213864 215137 219492 219583 221234 225806 231192 231648 231686 237744 237783 238252 246064 248976 250458 250848 250952 256032 257556 258064 264784 269724 270256 271752 272288 276822 277368 279019 282321 285152 290322 292201 292656 294398 297882 300482 304038 306324 306451 308256 316368 317044 320796 323342 331851 333944 338709 340704 343408 347472 347529 357378 359632 362336 366624 369096 369824 375687 376428 386334 387096 397176 404586 405384 407628 407797 408432 416052 419354 427728 430274 438984 439166 441597 442468 450723 451612 462384 463372 475488 475566 476504 485013 492128 497952 500916 501904 515112 516128 529568 536067 539448 540512 543504 553644 554736 558038 564642 580644 584402 585312 588796 595764 600964 608076 612648 612902 629031 632736 634088 641592 645411 646684 658749 663702 667888 677418 686816 694944 695058 713349 714756 719264 738192 751374 752856 772668 774192 774319 794352 809172 810768 815256 815594 816864 832104 837057 838708 855456 860548 876603 877968 878332 883194 884936 901446 903224 919353 924768 926744 951132 953008 970026 995553 1001832 1003808 1016127 1030224 1030393 1042587 1072134 1078896 1080643 1087008 1107288 1109472 1116076 1129284 1131697 1161288 1168804 1177592 1191528 1201928 1216152 1223391 1225296 1225804 1258062 1268176 1283184 1290822 1293368 1317498 1324791 1327404 1335776 1352169 1354836 1390116 1426698 1429512 1438021 1455039 1467739 1476384 1502748 1505712 1505959 1545336 1548384 1548638 1588704 1618344 1621536 1630512 1631188 1664208 1674114 1677416 1721096 1753206 1755936 1756664 1766388 1769872 1802892 1806448 1838706 1853488 1887093 1902264 1906016 1936233 1940052 1953133 1976247 1991106 2003664 2032254 2060448 2060786 2085174 2101723 2144268 2145157 2157792 2161286 2214576 2232152 2258568 2263394 2322576 2322957 2337608 2355184 2383056 2403856 2432304 2446782 2450592 2451608 2511171 2516124 2536352 2566368 2581644 2586736 2629809 2634996 2649582 2654808 2704338 2709672 2725801 2758059 2780232 2796781 2853396 2854579 2859024 2876042 2910078 2935478 3005496 3011424 3011918 3090672 3091179 3097276 3236688 3241929 3261024 3262376 3328416 3348228 3354832 3395091 3442192 3506412 3513328 3532776 3539744 3605784 3612896 3670173 3677412 3706976 3774186 3804528 3872466 3880104 3906266 3952494 3982212 3983863 4007328 4064508 4121572 4170348 4203446 4288536 4290314 4314063 4322572 4403217 4429152 4464304 4517136 4517877 4526788 4645152 4645914 4675216 4710368 4766112 4807712 4864608 4893564 4903216 5022342 5032248 5163288 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48475644984 48579225422 49857626091 51147530928 52204540752 52597056096 55081956384 55519114768 56554919148 56980144104 59672119416 59789815904 61363232112 62459004114 64634193312 66476834788 67263542892 71437792608 72868838133 75406558864 75973525472 76872620448 79562825888 83278672152 84832378722 85470216156 89508179124 89684723856 90218561498 92044848168 96951289968 97158450844 99715252182 102295061856 104409081504 111038229536 113109838296 113960288208 119344238832 122726464224 124918008228 132953669576 134527085784 135327842247 145737676266 149572878273 150813117728 166557344304 169664757444 170940432312 179016358248 179369447712 180437122996 184089696336 193902579936 194316901688 199430504364 218606514399 226219676592 227920576416 238688477664 249836016456 265907339152 269054171568 270655684494 291475352532 299145756546 315764965243 333114688608 339329514888 341880864624 358032716496 360874245992 368179392672 388633803376 398861008728 405983526741 437213028798 452439353184 499672032912 531814678304 538108343136 541311368988 582950705064 598291513092 631529930486 678659029776 683761729248 716065432992 721748491984 777267606752 797722017456 811967053482 874426057596 947294895729 999344065824 1082622737976 1165901410128 1196583026184 1263059860972 1357318059552 1443496983968 1595444034912 1623934106964 1748852115192 1894589791458 2165245475952 2331802820256 2393166052368 2526119721944 2841884687187 3247868213928 3497704230384 3789179582916 4330490951904 4786332104736 5052239443888 5683769374374 6495736427856 6995408460768 7578359165832 10104478887776 11367538748748 12991472855712 15156718331664 22735077497496 30313436663328 45470154994992 90940309989984
- Sum of all divisors σ(n): 344770548595200
- Sum of proper divisors (its aliquot sum) s(n): 253830238605216
- 90940309989984 is an abundant number, because the sum of its proper divisors (253830238605216) is greater than itself. Its abundance is 162889928615232
Bases of 90940309989984
- Binary: 101001010110101101100001101111101101010011000002
- Hexadecimal: 0x52B5B0DF6A60
- Base-36: W8HEGK480
Squares and roots of 90940309989984
- 90940309989984 squared (909403099899842) is 8270139981074383710180320256
- 90940309989984 cubed (909403099899843) is 752089093539464865612307452738753272315904
-
The
square root of 90940309989984 is 9536262.8943409483 -
The
cube root of 90940309989984 is 44969.5777899875
Scales and comparisons
How big is 90940309989984?- 90,940,309,989,984 seconds is equal to 2,891,620 years, 29 weeks, 1 day, 3 hours, 26 minutes, 24 seconds.
-
To count from 1 to 90,940,309,989,984 would take you about seven million, two hundred twenty-nine thousand and fifty-one 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 90940309989984 cubic inches would be around 3747.5 feet tall.
Recreational maths with 90940309989984
- 90940309989984 backwards is 48998990304909
- The number of decimal digits it has is: 14
- The sum of 90940309989984's digits is 81
- More coming soon!
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"Number 90940309989984 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 90940309989984 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/90940309989984/
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The information we have on file for 90940309989984 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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