990138910706975412
990,138,910,706,975,412 is an even composite number composed of six prime numbers multiplied together.
What does the number 990138910706975412 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
990138910706975412 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 990138910706975412:
22 × 33 × 172 × 193 × 672 × 1013
(2 × 2 × 3 × 3 × 3 × 17 × 17 × 19 × 19 × 19 × 67 × 67 × 101 × 101 × 101)See below for interesting mathematical facts about the number 990138910706975412 from the Numbermatics database.
Names of 990138910706975412
- Cardinal: 990138910706975412 can be written as Nine hundred ninety quadrillion, one hundred thirty-eight trillion, nine hundred ten billion, seven hundred six million, nine hundred seventy-five thousand, four hundred twelve.
Scientific notation
- Scientific notation: 9.90138910706975412 × 1017
Factors of 990138910706975412
Divisors of 990138910706975412
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 9 12 17 18 19 27 34 36 38 51 54 57 67 68 76 101 102 108 114 134 153 171 201 202 204 228 268 289 303 306 323 342 361 402 404 459 513 578 603 606 612 646 684 722 804 867 909 918 969 1026 1083 1139 1156 1206 1212 1273 1292 1444 1717 1734 1809 1818 1836 1919 1938 2052 2166 2278 2412 2546 2601 2727 2907 3249 3417 3434 3468 3618 3636 3819 3838 3876 4332 4489 4556 5092 5151 5202 5454 5491 5757 5814 6137 6498 6767 6834 6859 6868 7236 7638 7676 7803 8721 8978 9747 10201 10251 10302 10404 10908 10982 11457 11514 11628 12274 12996 13467 13534 13668 13718 15276 15453 15606 16473 17271 17442 17956 18411 19363 19494 20301 20402 20502 20577 20604 21641 21964 22914 23028 24187 24548 26934 27068 27436 29189 30603 30753 30906 31212 32623 32946 34371 34542 34884 36461 36822 38726 38988 40401 40602 40804 41004 41154 43282 45828 46359 48374 49419 51813 53868 55233 58089 58378 60903 61206 61506 61731 61812 64923 65246 65892 68742 69084 72561 72922 73644 76313 77452 80802 81204 82308 85291 86564 87567 91809 92718 96748 97869 98838 103626 104329 109383 110466 115039 116178 116603 116756 121203 121806 122412 123012 123462 128573 129846 130492 137484 145122 145844 148257 152626 161604 165699 170582 173417 174267 175134 182709 183618 185193 185436 193819 194769 195738 197676 207252 208658 217683 218766 220932 228939 230078 232356 233206 242406 243612 246924 255873 257146 259692 262701 275427 290244 293607 296514 305252 312987 328149 331398 341164 345117 346834 348534 349809 350268 365418 367236 367897 370386 385719 387638 389538 391476 411179 417316 435366 437532 453389 457878 459553 460156 466412 484812 511746 514292 520251 522801 525402 550854 554591 581457 584307 587214 593028 619837 625974 653049 656298 662796 683467 686817 690234 692759 693668 697068 699618 730836 735794 740772 767619 771438 775276 779076 788103 822358 870732 880821 906778 915756 919106 938961 984447 1023492 1030301 1035351 1040502 1045602 1049427 1050804 1101708 1103691 1109182 1157157 1162914 1168614 1174428 1233537 1239674 1251948 1297321 1306098 1312596 1360167 1366934 1373634 1378659 1380468 1385518 1399236 1449947 1471588 1535238 1542876 1560753 1576206 1620529 1644716 1663773 1744371 1761642 1813556 1838212 1859511 1877922 1955663 1968894 1982251 2050401 2060451 2060602 2070702 2078277 2081004 2091204 2098854 2185741 2207382 2218364 2302857 2314314 2325828 2337228 2442887 2467074 2479348 2594642 2612196 2720334 2733868 2747268 2757318 2771036 2816883 2899894 2948089 3070476 3090903 3106053 3121506 3148281 3152412 3241058 3294923 3311073 3327546 3471471 3488742 3523284 3682561 3700611 3719022 3755844 3891963 3911326 3937788 3964502 4080501 4100802 4120902 4121204 4135977 4141404 4156554 4197708 4349841 4371482 4414764 4605714 4628628 4682259 4861587 4885774 4934148 4991319 5189284 5233113 5440668 5514636 5578533 5633766 5799788 5866989 5896178 5946753 6151203 6181806 6212106 6234831 6243012 6296562 6482116 6557223 6589846 6622146 6655092 6942942 6977484 6990043 7328661 7365122 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249751144206 251445458899 253146608262 254406044124 263626207773 266236368246 267560927292 268872371892 281027277593 283809725886 285221714572 297558293922 299038683444 300504415644 305498670714 314089310251 314501440852 317199105402 318777210404 320339690604 322470819087 335857876308 341439690798 351501610364 357317231067 359094928734 360408562509 362175097959 363976964118 379044646997 381609066186 399354552369 401341390938 405315068076 423638134879 425714588829 427832571858 429961092116 446337440883 448558025166 452999193732 471752161278 473477915453 475798658103 476422974756 478165815606 480509535906 480544750012 482900130612 499502288412 502890917798 506293216524 527252415546 532472736492 538642393101 545965446177 562054555186 567619451772 595116587844 602012086407 610997341428 628178620502 634398210804 641748857787 644941638174 672837037749 682879381596 707628241917 714634462134 717248723409 718189857468 720817125018 724350195918 727953928236 754336376697 758089293994 763218132372 790878623319 798709104738 802682781876 843081832779 847276269758 851429177658 855665143716 892674881766 897116050332 898730798639 942267930753 943504322556 946955830906 951597316206 956331631212 961019071812 967412457261 1005781835596 1054504831092 1077284786202 1081225687527 1091930892354 1124109110372 1137133940991 1204024172814 1256357241004 1270914404637 1277143766487 1283497715574 1289883276348 1336631123621 1345674075498 1354803144217 1415256483834 1420433746359 1427395974309 1429268924268 1434497446818 1441634250036 1448700391836 1493881844047 1508672753394 1516178587988 1581757246638 1597418209476 1669632649229 1686163665558 1694552539516 1702858355316 1785349763532 1797461597278 1884535861506 1893911661812 1903194632412 1925246573361 1934824914522 2042315187551 2122884725751 2151746170227 2154569572404 2162451375054 2183861784708 2263009130091 2274267881982 2372635869957 2408048345628 2529245498337 2541828809274 2554287532974 2566995431148 2673262247242 2691348150996 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510907590664074 515966081660748 539291345700967 544630863975234 547340470263668 571014366036318 576667973620836 685691766417573 766361385996111 777799615637844 816946295962851 821010705395502 856521549054477 869305452771708 914255688556764 965047671254362 1021815181328148 1078582691401934 1089261727950468 1142028732072636 1231516058093253 1371383532835146 1447571506881543 1532722771992222 1617874037102901 1633892591925702 1642021410791004 1713043098108954 1930095342508724 2157165382803868 2450838887888553 2463032116186506 2742767065670292 2895143013763086 3065445543984444 3235748074205802 3267785183851404 3426086196217908 3694548174279759 4342714520644629 4853622111308703 4901677775777106 4926064232373012 5790286027526172 6471496148411604 7389096348559518 8685429041289258 9167952876916439 9707244222617406 9803355551554212 13028143561933887 14560866333926109 14778192697119036 17370858082578516 18335905753832878 19414488445234812 26056287123867774 27503858630749317 29121732667852218 36671811507665756 52112574247735548 55007717261498634 58243465335704436 82511575892247951 110015434522997268 165023151784495902 247534727676743853 330046303568991804 495069455353487706 990138910706975412
- Sum of all divisors σ(n): 2951205778378771200
- Sum of proper divisors (its aliquot sum) s(n): 1961066867671795788
- 990138910706975412 is an abundant number, because the sum of its proper divisors (1961066867671795788) is greater than itself. Its abundance is 970927956964820376
Bases of 990138910706975412
- Binary: 1101101111011010111000010111111000101111101101000010101101002
- Hexadecimal: 0xDBDAE17E2FB42B4
- Base-36: 7ITAY845U9X0
Squares and roots of 990138910706975412
- 990138910706975412 squared (9901389107069754122) is 980375062495995828168776073172569744
- 990138910706975412 cubed (9901389107069754123) is 970707496464068252390211636095070118090058681863134528
-
The
square root of 990138910706975412 is 995057239.9148580699 -
The
cube root of 990138910706975412 is 996702.1060874795
Scales and comparisons
How big is 990138910706975412?- 990,138,910,706,975,412 seconds is equal to 31,483,354,659 years, 38 weeks, 3 days, 13 hours, 10 minutes, 12 seconds.
-
To count from 1 to 990,138,910,706,975,412 would take you about ninety-four billion, four hundred fifty million, sixty-three thousand, nine hundred seventy-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 990138910706975412 cubic inches would be around 83058.5 feet tall.
Recreational maths with 990138910706975412
- 990138910706975412 backwards is 214579607019831099
- The number of decimal digits it has is: 18
- The sum of 990138910706975412's digits is 81
- More coming soon!
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"Number 990138910706975412 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.
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The information we have on file for 990138910706975412 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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