420245304024
420,245,304,024 is an even composite number composed of seven prime numbers multiplied together.
420245304024 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 420245304024:
23 × 3 × 73 × 13 × 19 × 41 × 712
(2 × 2 × 2 × 3 × 7 × 7 × 7 × 13 × 19 × 41 × 71 × 71)See below for interesting mathematical facts about the number 420245304024 from the Numbermatics database.
Names of 420245304024
- Cardinal: 420245304024 can be written as Four hundred twenty billion, two hundred forty-five million, three hundred four thousand and twenty-four.
Scientific notation
- Scientific notation: 4.20245304024 × 1011
Factors of 420245304024
Divisors of 420245304024
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 19 21 24 26 28 38 39 41 42 49 52 56 57 71 76 78 82 84 91 98 104 114 123 133 142 147 152 156 164 168 182 196 213 228 246 247 266 273 284 287 294 312 328 343 364 392 399 426 456 492 494 497 532 533 546 568 574 588 637 686 728 741 779 798 852 861 923 931 984 988 994 1029 1064 1066 1092 1148 1176 1274 1349 1372 1482 1491 1558 1596 1599 1704 1722 1729 1846 1862 1911 1976 1988 2009 2058 2132 2184 2296 2337 2548 2698 2744 2769 2793 2911 2964 2982 3116 3192 3198 3444 3458 3479 3692 3724 3731 3822 3976 4018 4047 4116 4264 4459 4674 5041 5096 5187 5396 5453 5538 5586 5822 5928 5964 6027 6232 6396 6461 6517 6888 6916 6958 7384 7448 7462 7644 8036 8094 8232 8733 8918 9348 9443 10082 10127 10374 10437 10792 10906 11076 11172 11193 11644 11928 12054 12103 12792 12922 13034 13377 13832 13916 14063 14924 15123 15288 16072 16188 16359 17466 17537 17836 18696 18886 19383 19551 20164 20254 20377 20748 20874 21812 22152 22344 22386 23288 24108 24206 24353 25844 26068 26117 26754 27832 28126 28329 29848 30246 30381 32376 32718 34932 35074 35287 35672 36309 37772 37843 38171 38766 39102 40328 40508 40754 41496 41748 42189 43624 44772 45227 48216 48412 48706 51688 52136 52234 52611 53508 55309 56252 56658 60492 60762 61131 65436 65533 66101 69864 70148 70574 70889 72618 73059 75544 75686 76342 77532 78204 78351 81016 81508 83496 84378 84721 89544 90454 95779 96824 97412 104468 105222 105861 107016 110618 112504 113316 113529 114513 120984 121524 122262 122759 130872 131066 132202 135681 140296 141148 141778 142639 145236 146118 151372 152684 155064 156408 156702 163016 165927 168756 169442 180908 182819 191558 194824 196599 198303 206681 208936 210444 211722 212667 221236 226632 227058 229026 243048 244524 245518 247009 254163 262132 264404 264901 267197 271362 282296 283556 285278 287337 290472 292236 302744 305368 313404 316589 331854 337512 338884 361816 365638 368277 383116 387163 393198 396606 413362 420888 423444 425334 427917 442472 454116 458052 458731 462707 489048 491036 494018 496223 508326 524264 528808 529802 534394 542724 548457 567112 570556 574674 584472 620043 626808 633178 663708 670453 677768 719017 731276 736554 741027 766232 774326 786396 793212 794703 801591 826724 846888 850668 855834 859313 908232 916104 917462 925414 949767 982072 988036 992446 998473 1016652 1059604 1068788 1085448 1096914 1141112 1149348 1161489 1240086 1245127 1266356 1327416 1340906 1376193 1388121 1438034 1446767 1462552 1473108 1482054 1488669 1548652 1572792 1586424 1589406 1603182 1653448 1701336 1711668 1718626 1729063 1834924 1850828 1854307 1899534 1976072 1984892 1996946 2011359 2033304 2119208 2137576 2157051 2193828 2298696 2322978 2480172 2490254 2532712 2577939 2681812 2686853 2710141 2752386 2776242 2876068 2893534 2946216 2964108 2977338 2995419 3097304 3178812 3206364 3211117 3423336 3437252 3458126 3473561 3669848 3701656 3708614 3735381 3799068 3926939 3969784 3993892 4022718 4314102 4340301 4387656 4645956 4693171 4960344 4980508 5033119 5155878 5187189 5363624 5373706 5420282 5504772 5552484 5562921 5752136 5787068 5928216 5954676 5990838 6015191 6357624 6412728 6422234 6874504 6916252 6947122 7417228 7470762 7598136 7853878 7987784 8045436 8060559 8130423 8628204 8680602 8715889 9291912 9386342 9633351 9961016 10066238 10127369 10311756 10374378 10420683 10747412 10840564 11009544 11104968 11125842 11574136 11780817 11909352 11981676 12030382 12844468 12980149 13832504 13894244 14079513 14834456 14941524 15099357 15707756 16090872 16121118 16260846 17256408 17361204 17431778 18045573 18772684 18807971 18970987 19266702 20132476 20254738 20623512 20748756 20841366 21494824 21681128 22251684 22477819 23561634 23963352 24060764 25688936 25960298 26147667 27488573 27788488 28159026 29883048 30198714 30382107 31415512 32242236 32521692 32852197 34722408 34863556 35231833 36091146 37545368 37615942 37941974 38533404 38940447 40264952 40509476 41497512 41682732 44503368 44955638 47123268 48121528 51050207 51920596 52295334 54977146 56318052 56423913 56912961 60397428 60764214 61011223 64484472 65043384 65704394 67433457 69727112 70463666 70891583 72182292 75231884 75883948 77066808 77880894 81018952 82465719 83365464 89911276 94246536 98556591 102100414 103841192 104590668 105695499 109954292 112636104 112847826 113825922 120794856 121528428 122022446 131408788 131655797 134866914 140927332 141783166 144364584 150463768 151767896 153150621 155761788 164931438 179822552 183033669 192420011 197113182 204200828 209181336 211390998 212674749 219908584 225695652 227651844 243056856 244044892 246622831 262817576 263311594 269733828 281854664 283566332 306301242 311523576 329862876 357351449 366067338 384840022 394226364 394967391 408401656 422781996 425349498 427078561 451391304 455303688 488089784 493245662 526623188 539467656 567132664 577260033 612602484 659725752 714702898 732134676 739868493 769680044 788452728 789934782 845563992 850698996 854157122 921590579 986491324 1053246376 1072054347 1154520066 1225204968 1281235683 1346940077 1429405796 1464269352 1479736986 1539360088 1579869564 1701397992 1708314244 1843181158 1972982648 2144108694 2309040132 2501460143 2562471366 2693880154 2764771737 2858811592 2959473972 3159739128 3416628488 3686362316 4040820231 4288217388 4618080264 5002920286 5124942732 5387760308 5529543474 5918947944 7372724632 7504380429 8081640462 8576434776 10005840572 10249885464 10775520616 11059086948 15008760858 16163280924 17510221001 20011681144 22118173896 30017521716 32326561848 35020442002 52530663003 60035043432 70040884004 105061326006 140081768008 210122652012 420245304024
- Sum of all divisors σ(n): 1443093120000
- Sum of proper divisors (its aliquot sum) s(n): 1022847815976
- 420245304024 is an abundant number, because the sum of its proper divisors (1022847815976) is greater than itself. Its abundance is 602602511952
Bases of 420245304024
- Binary: 1100001110110001001001001110010110110002
- Hexadecimal: 0x61D89272D8
- Base-36: 5D237BVC
Squares and roots of 420245304024
- 420245304024 squared (4202453040242) is 176606115554224190592576
- 420245304024 cubed (4202453040243) is 74217890723582620233032421837325824
-
The
square root of 420245304024 is 648263.2983780587 -
The
cube root of 420245304024 is 7490.3300800759
Scales and comparisons
How big is 420245304024?- 420,245,304,024 seconds is equal to 13,362 years, 26 weeks, 6 hours, 40 minutes, 24 seconds.
-
To count from 1 to 420,245,304,024 would take you about twenty-six thousand, seven hundred twenty-five 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 420245304024 cubic inches would be around 624.2 feet tall.
Recreational maths with 420245304024
- 420245304024 backwards is 420403542024
- The number of decimal digits it has is: 12
- The sum of 420245304024's digits is 30
- More coming soon!
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