390141428040
390,141,428,040 is an even composite number composed of seven prime numbers multiplied together.
390141428040 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 390141428040:
23 × 35 × 5 × 72 × 132 × 37 × 131
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 7 × 13 × 13 × 37 × 131)See below for interesting mathematical facts about the number 390141428040 from the Numbermatics database.
Names of 390141428040
- Cardinal: 390141428040 can be written as Three hundred ninety billion, one hundred forty-one million, four hundred twenty-eight thousand and forty.
Scientific notation
- Scientific notation: 3.9014142804 × 1011
Factors of 390141428040
Divisors of 390141428040
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 18 20 21 24 26 27 28 30 35 36 37 39 40 42 45 49 52 54 56 60 63 65 70 72 74 78 81 84 90 91 98 104 105 108 111 117 120 126 130 131 135 140 147 148 156 162 168 169 180 182 185 189 195 196 210 216 222 234 243 245 252 259 260 262 270 273 280 294 296 312 315 324 333 338 351 360 364 370 378 390 392 393 405 420 441 444 455 468 481 486 490 504 507 518 520 524 540 546 555 567 585 588 630 637 648 655 666 676 702 728 735 740 756 777 780 786 810 819 840 845 882 888 910 917 936 945 962 972 980 999 1014 1036 1048 1053 1080 1092 1110 1134 1170 1176 1179 1183 1215 1260 1274 1295 1310 1323 1332 1352 1365 1404 1443 1470 1480 1512 1521 1554 1560 1572 1620 1638 1665 1690 1701 1703 1755 1764 1813 1820 1834 1890 1911 1924 1944 1960 1965 1998 2028 2072 2106 2184 2205 2220 2268 2331 2340 2358 2366 2405 2430 2457 2520 2535 2548 2590 2620 2646 2664 2730 2751 2808 2835 2886 2940 2997 3042 3108 3144 3159 3185 3240 3276 3330 3367 3380 3402 3406 3510 3528 3537 3549 3626 3640 3668 3780 3822 3848 3885 3930 3969 3996 4056 4095 4212 4329 4410 4440 4536 4563 4585 4662 4680 4716 4732 4810 4847 4860 4914 4995 5070 5096 5109 5180 5240 5265 5292 5439 5460 5502 5670 5733 5772 5880 5895 5915 5994 6084 6216 6253 6318 6370 6419 6552 6615 6660 6734 6760 6804 6812 6993 7020 7074 7098 7215 7252 7336 7371 7560 7605 7644 7770 7860 7938 7992 8190 8253 8281 8424 8505 8515 8658 8820 8991 9065 9126 9170 9324 9432 9464 9555 9620 9694 9720 9828 9990 10101 10140 10218 10360 10530 10584 10611 10647 10878 10920 11004 11340 11466 11544 11655 11790 11830 11907 11921 11988 12168 12285 12506 12636 12740 12838 12987 13230 13320 13468 13608 13624 13689 13755 13986 14040 14148 14196 14430 14504 14541 14742 14985 15210 15288 15327 15540 15720 15795 15876 16317 16380 16506 16562 16835 17010 17030 17199 17316 17640 17685 17745 17982 18130 18252 18340 18648 18759 19110 19240 19257 19388 19656 19845 19980 20202 20280 20436 20979 21060 21222 21294 21645 21756 22008 22113 22139 22680 22815 22932 23310 23569 23580 23660 23814 23842 23976 24235 24570 24759 24843 25012 25272 25480 25545 25676 25974 26460 26936 27195 27378 27510 27972 28296 28392 28665 28860 29082 29484 29970 30303 30420 30654 31080 31265 31590 31752 31833 31941 32095 32634 32760 33012 33124 33670 33929 34020 34060 34398 34632 34965 35370 35490 35763 35964 36260 36504 36680 36855 37518 38220 38514 38776 38961 39690 39960 40404 40872 41067 41265 41405 41958 42120 42444 42588 43290 43512 43623 43771 44226 44278 44955 45630 45864 45981 46620 47138 47160 47320 47628 47684 48470 48951 49140 49518 49686 50024 50505 51090 51352 51597 51948 52920 53055 53235 54390 54756 55020 55944 56277 57330 57720 57771 58164 58968 59535 59605 59940 60606 60840 61308 62530 62937 63011 63180 63666 63882 64190 64935 65268 66024 66248 66417 67340 67858 68040 68120 68445 68796 69930 70707 70740 70980 71526 71928 72520 72705 73710 74277 74529 75036 76440 76635 77028 77922 79380 80808 81585 82134 82530 82810 83447 83916 84888 85176 85995 86580 87246 87542 88452 88556 89910 90909 91260 91962 93240 93795 94276 95256 95368 95823 96285 96940 97902 98280 99036 99372 101010 101787 102180 103194 103896 104895 106110 106470 107289 108780 109512 110040 110565 110695 112554 114660 115542 116328 116883 117845 119070 119210 119880 121212 122616 123795 124215 125060 125874 126022 126360 127332 127764 128380 129870 130536 130869 131313 132834 134680 135716 136890 137592 137943 139860 141414 141480 141960 143052 145410 146853 147420 148554 149058 150072 151515 153270 154056 154791 154973 155844 158760 159165 159705 163170 164268 165060 165620 166894 167832 168831 169645 171990 173160 173313 174492 175084 176904 177112 178815 179820 181818 182520 183924 187590 188552 189033 191646 192570 193880 194805 195804 198072 198744 199251 202020 203574 204360 205335 206388 209790 212121 212220 212940 214578 217560 218115 218855 221130 221390 222831 223587 225108 229320 229905 231084 233766 235690 237503 238140 238420 242424 244755 247590 248430 250120 250341 251748 252044 254664 255528 256760 257985 259740 261738 262626 265668 271432 272727 273780 275886 279720 281385 282828 286104 287469 288855 290820 293706 294840 297108 298116 303030 305361 306397 306540 309582 309946 311688 314685 315055 318330 319410 321867 326340 328536 330120 331240 332085 333788 337662 339290 343980 346626 348984 350168 353535 357630 359640 363636 367848 371385 372645 375180 378066 383292 385140 389610 391608 392607 393939 398502 404040 407148 410670 412776 413829 417235 419580 424242 424440 425880 429156 436230 437710 440559 441077 442260 442780 445662 447174 450216 454545 459810 462168 464919 467532 471380 475006 476280 476840 479115 489510 495180 496860 500682 503496 504088 506493 508935 515970 519480 519939 523476 525252 531336 536445 545454 547560 551772 562770 565656 567099 574938 577710 581640 584415 587412 594216 596232 597753 606060 610722 612794 613080 619164 619892 629370 630110 636363 636660 638820 643734 652680 654345 656565 664170 667576 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10992996 11030292 11158056 11265345 11341980 11454534 11468002 11498760 11587212 11778210 11818170 11909079 11955060 12155832 12214440 12255880 12287145 12350156 12478536 12552813 12727260 12825162 12874680 13017732 13232310 13415220 13518414 13610376 13741245 13787865 13947570 14181804 14250180 14346072 14484015 14744574 15020460 15194790 15272712 15311673 15437695 15598170 15704280 15757560 15878772 16098264 16272165 16363620 16382860 16489494 16545438 16553160 16737084 17012970 17100216 17202003 17622360 17643080 17727255 17932590 18024552 18321660 18383820 18525234 18596760 19090890 19237743 19312020 19526598 19659432 19848465 20122830 20259720 20277621 20415564 20797560 20921355 21272706 21375270 21519108 21696220 21985992 22060584 22116861 22530690 22683960 22909068 22936004 23174424 23556420 23636340 23818158 23910120 24574290 24700312 24818157 25105626 25454520 25519455 25650324 26035464 26464620 26830440 26898885 27036828 27482490 27575730 27787851 27895140 28363608 28500360 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88467444 90122760 92626170 95272632 96188715 97632990 98297160 99272628 100422504 101388105 102077820 103212018 106363530 107181711 107595540 109929960 110302920 110584305 111151404 114545340 114680020 115426458 115872120 117159588 119090790 120414021 122493384 123501560 124090785 125528130 128251620 130177320 132701166 135184140 137616024 138939255 141818040 142908948 146449485 147445740 148908942 150633756 153116730 153901944 154818027 158787720 160552028 162220968 164894940 165454380 166727106 167370840 172020030 175739382 176934888 178636185 185252340 188292195 192377430 195265980 198545256 199051749 200690035 202776210 204155640 206424036 212727060 214363422 215191080 221168610 222302808 229090680 229360040 230852916 234319176 238181580 240828042 248181570 250090659 251056260 256503240 258030045 263609073 265402332 270368280 277878510 285817896 288566145 292898970 294891480 297817884 301267512 306233460 309636054 321104056 329789880 330908760 331752915 333454212 344040060 351478764 357272370 361242063 370504680 372272355 376584390 384754860 390531960 398103498 401380070 405552420 412848072 416817765 425454120 428726844 439348455 442337220 461705832 464454081 476363160 481656084 496363140 500181318 502112520 516060090 527218146 530804664 535908555 555757020 577132290 585797940 595635768 602070105 612466920 619272108 663505830 666908424 688080120 702957528 714544740 722484126 744544710 750271977 753168780 769509720 774090135 796206996 802760140 811104840 833635530 857453688 878696910 884674440 928908162 963312168 992726280 995258745 1000362636 1032120180 1054436292 1071817110 1083726189 1111514040 1154264580 1171595880 1204140210 1238544216 1250453295 1318045365 1327011660 1393362243 1429089480 1444968252 1489089420 1500543954 1506337560 1548180270 1592413992 1605520280 1667271060 1757393820 1806210315 1857816324 1990517490 2000725272 2064240360 2108872584 2143634220 2167452378 2308529160 2322270405 2408280420 2500906590 2636090730 2654023320 2786724486 2889936504 2978178840 3001087908 3096360540 3251178567 3334542120 3514787640 3612420630 3715632648 3751359885 3981034980 4287268440 4334904756 4644540810 4816560840 5001813180 5272181460 5418630945 5573448972 6002175816 6192721080 6502357134 6966811215 7224841260 7502719770 7962069960 8669809512 9289081620 9753535701 10003626360 10544362920 10837261890 11146897944 13004714268 13933622430 14449682520 15005439540 16255892835 18578163240 19507071402 21674523780 26009428536 27867244860 30010879080 32511785670 39014142804 43349047560 48767678505 55734489720 65023571340 78028285608 97535357010 130047142680 195070714020 390141428040
- Sum of all divisors σ(n): 1714065312960
- Sum of proper divisors (its aliquot sum) s(n): 1323923884920
- 390141428040 is an abundant number, because the sum of its proper divisors (1323923884920) is greater than itself. Its abundance is 933782456880
Bases of 390141428040
- Binary: 1011010110101100011110111000001010010002
- Hexadecimal: 0x5AD63DC148
- Base-36: 4Z884SI0
Squares and roots of 390141428040
- 390141428040 squared (3901414280402) is 152210333873090498241600
- 390141428040 cubed (3901414280403) is 59383557019692711112132932934464000
-
The
square root of 390141428040 is 624613.0226308125 -
The
cube root of 390141428040 is 7307.0266242231
Scales and comparisons
How big is 390141428040?- 390,141,428,040 seconds is equal to 12,405 years, 15 weeks, 18 hours, 54 minutes.
-
To count from 1 to 390,141,428,040 would take you about twenty-four thousand, eight hundred ten 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 390141428040 cubic inches would be around 608.9 feet tall.
Recreational maths with 390141428040
- 390141428040 backwards is 040824141093
- 390141428040 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 390141428040's digits is 36
- More coming soon!
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The information we have on file for 390141428040 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!
Keywords: Divisors of 390141428040, math, Factors of 390141428040, curriculum, school, college, exams, university, Prime factorization of 390141428040, STEM, science, technology, engineering, physics, economics, calculator, three hundred ninety billion, one hundred forty-one million, four hundred twenty-eight thousand and forty.