42200129664
42,200,129,664 is an even composite number composed of six prime numbers multiplied together.
42200129664 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 42200129664:
27 × 32 × 74 × 11 × 19 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 7 × 7 × 11 × 19 × 73)See below for interesting mathematical facts about the number 42200129664 from the Numbermatics database.
Names of 42200129664
- Cardinal: 42200129664 can be written as Forty-two billion, two hundred million, one hundred twenty-nine thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 4.2200129664 × 1010
Factors of 42200129664
Divisors of 42200129664
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 19 21 22 24 28 32 33 36 38 42 44 48 49 56 57 63 64 66 72 73 76 77 84 88 96 98 99 112 114 126 128 132 133 144 146 147 152 154 168 171 176 192 196 198 209 219 224 228 231 252 264 266 288 292 294 304 308 336 342 343 352 384 392 396 399 418 438 441 448 456 462 504 511 528 532 539 576 584 588 608 616 627 657 672 684 686 693 704 784 792 798 803 836 876 882 896 912 924 931 1008 1022 1029 1056 1064 1078 1152 1168 1176 1197 1216 1232 1254 1314 1344 1368 1372 1386 1387 1408 1463 1533 1568 1584 1596 1606 1617 1672 1752 1764 1824 1848 1862 1881 2016 2044 2058 2112 2128 2156 2336 2352 2394 2401 2409 2432 2464 2508 2628 2688 2736 2744 2772 2774 2793 2926 3066 3087 3136 3168 3192 3212 3234 3344 3504 3528 3577 3648 3696 3724 3762 3773 4032 4088 4116 4161 4224 4256 4312 4389 4599 4672 4704 4788 4802 4818 4851 4928 5016 5256 5472 5488 5544 5548 5586 5621 5852 6132 6174 6272 6336 6384 6424 6468 6517 6688 7008 7056 7154 7203 7227 7296 7392 7448 7524 7546 8064 8176 8232 8322 8379 8512 8624 8778 9198 9344 9408 9576 9604 9636 9702 9709 9856 10032 10241 10512 10731 10944 10976 11088 11096 11172 11242 11319 11704 12264 12348 12483 12672 12768 12848 12936 13034 13167 13376 14016 14112 14308 14406 14454 14784 14896 15048 15092 15257 16352 16464 16644 16758 16863 17024 17248 17556 18396 18816 19152 19208 19272 19404 19418 19551 20064 20482 21024 21462 21609 21888 21952 22176 22192 22344 22484 22638 23408 24528 24696 24966 25039 25536 25696 25872 26068 26334 26411 26752 28032 28224 28616 28812 28908 29127 29568 29792 30096 30184 30514 30723 32193 32704 32928 33288 33516 33726 33957 34496 35112 36792 38304 38416 38544 38808 38836 39102 39347 40128 40964 42048 42924 43218 43904 44352 44384 44688 44968 45276 45619 45771 46816 49056 49392 49932 50078 50589 51072 51392 51744 52136 52668 52822 56448 57232 57624 57816 58254 58653 59584 60192 60368 61028 61446 64386 65408 65856 66576 67032 67452 67914 67963 68992 70224 71687 73584 75117 76608 76832 77088 77616 77672 78204 78694 79233 80256 81928 84096 85848 86436 87381 88704 88768 89376 89936 90552 91238 91542 92169 93632 98112 98784 99864 100156 101178 102784 103488 104272 105336 105644 106799 114464 115248 115632 116508 117306 118041 119168 120384 120736 122056 122892 128772 131712 133152 134064 134904 135828 135926 136857 137313 140448 143374 147168 150234 153216 153664 154176 155232 155344 156408 157388 158466 163856 171696 172872 174762 175273 177536 178752 179872 181104 182476 183084 184338 187264 196224 197568 199728 200312 202356 203889 206976 208544 210672 211288 213598 215061 225351 228928 230496 231264 233016 234612 236082 237699 240768 241472 244112 245784 257544 266304 268128 269808 271656 271852 273714 274626 275429 280896 286748 294336 300468 307328 308352 310464 310688 312816 314776 316932 320397 327712 343392 345744 349524 350546 354123 357504 359744 362208 364952 366168 368676 395136 399456 400624 404712 407778 410571 417088 421344 422576 427196 430122 450702 457856 460992 462528 466032 469224 472164 475398 475741 482944 488224 491568 501809 515088 525819 532608 536256 539616 543312 543704 547428 549252 550858 561792 573496 588672 600936 611667 620928 621376 625632 629552 633864 640794 645183 655424 686784 691488 699048 701092 708246 719488 724416 729904 732336 737352 747593 798912 801248 809424 815556 821142 826287 834176 842688 845152 854392 860244 901404 921984 925056 932064 938448 944328 950796 951482 961191 976448 983136 1003618 1030176 1051638 1072512 1079232 1086624 1087408 1094856 1098504 1101716 1146992 1201872 1223334 1242752 1251264 1259104 1267728 1281588 1290366 1310848 1373568 1382976 1398096 1402184 1416492 1427223 1448832 1459808 1464672 1474704 1495186 1505427 1577457 1597824 1602496 1618848 1631112 1642284 1652574 1685376 1690304 1708784 1720488 1802808 1864128 1876896 1888656 1901592 1902964 1922382 1928003 1952896 1966272 2007236 2060352 2103276 2158464 2173248 2174816 2189712 2197008 2203432 2242779 2293984 2403744 2446668 2478861 2502528 2518208 2535456 2563176 2580732 2765952 2796192 2804368 2832984 2854446 2919616 2929344 2949408 2990372 3010854 3154914 3204992 3237696 3262224 3284568 3305148 3330187 3380608 3417568 3440976 3605616 3728256 3753792 3777312 3803184 3805928 3844764 3856006 3932544 4014472 4120704 4206552 4281669 4346496 4349632 4379424 4394016 4406864 4485558 4516281 4587968 4807488 4893336 4957722 5036416 5070912 5126352 5161464 5233151 5592384 5608736 5665968 5708892 5784009 5839232 5858688 5898816 5980744 6021708 6309828 6475392 6524448 6569136 6610296 6660374 6728337 6835136 6881952 7211232 7507584 7554624 7606368 7611856 7689528 7712012 8028944 8413104 8563338 8699264 8758848 8788032 8813728 8971116 9032562 9175936 9614976 9786672 9915444 9990561 10141824 10252704 10322928 10466302 11184768 11217472 11331936 11417784 11568018 11797632 11961488 12043416 12619656 13048896 13138272 13220592 13320748 13456674 13670272 13763904 14422464 15109248 15212736 15223712 15379056 15424024 15699453 16057888 16826208 17126676 17352027 17517696 17576064 17627456 17942232 18065124 19573344 19830888 19981122 20505408 20645856 20932604 22434944 22663872 22835568 23136036 23922976 24086832 25239312 26097792 26276544 26441184 26641496 26913348 27527808 28844928 29971683 30425472 30447424 30758112 30848048 31398906 32115776 33652416 34253352 34704054 35254912 35884464 36130248 36632057 39146688 39661776 39962244 41010816 41291712 41865208 45327744 45671136 46272072 47098359 47845952 48173664 50478624 52553088 52882368 53282992 53826696 59943366 60894848 61516224 61696096 62797812 64231552 67304832 68506704 69408108 71768928 72260496 73264114 78293376 79323552 79924488 82583424 83730416 91342272 92544144 94196718 95691904 96347328 100957248 105764736 106565984 107653392 109896171 119886732 123032448 123392192 125595624 137013408 138816216 143537856 144520992 146528228 158647104 159848976 167460832 182684544 185088288 188393436 192694656 201914496 213131968 215306784 219792342 239773464 246784384 251191248 274026816 277632432 287075712 289041984 293056456 317294208 319697952 329688513 334921664 370176576 376786872 426263936 430613568 439584684 479546928 502382496 548053632 555264864 578083968 586112912 639395904 659377026 669843328 740353152 753573744 861227136 879169368 959093856 1004764992 1110529728 1172225824 1278791808 1318754052 1507147488 1758338736 1918187712 2009529984 2221059456 2344451648 2637508104 3014294976 3516677472 3836375424 4688903296 5275016208 6028589952 7033354944 10550032416 14066709888 21100064832 42200129664
- Sum of all divisors σ(n): 164907194400
- Sum of proper divisors (its aliquot sum) s(n): 122707064736
- 42200129664 is an abundant number, because the sum of its proper divisors (122707064736) is greater than itself. Its abundance is 80506935072
Bases of 42200129664
- Binary: 1001110100110101001011100000100000002
- Hexadecimal: 0x9D352E080
- Base-36: JDWV8G0
Squares and roots of 42200129664
- 42200129664 squared (422001296642) is 1780850943658412752896
- 42200129664 cubed (422001296643) is 75152140734641776696642391506944
-
The
square root of 42200129664 is 205426.7014387371 -
The
cube root of 42200129664 is 3481.5389784453
Scales and comparisons
How big is 42200129664?- 42,200,129,664 seconds is equal to 1,341 years, 43 weeks, 2 days, 10 hours, 14 minutes, 24 seconds.
-
To count from 1 to 42,200,129,664 would take you about two thousand, six hundred eighty-three 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 42200129664 cubic inches would be around 290.1 feet tall.
Recreational maths with 42200129664
- 42200129664 backwards is 46692100224
- 42200129664 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 42200129664's digits is 36
- More coming soon!
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