420904374748416
420,904,374,748,416 is an even composite number composed of five prime numbers multiplied together.
What does the number 420904374748416 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1728 divisors.
420904374748416 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 420904374748416:
28 × 35 × 133 × 193 × 449
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 13 × 13 × 13 × 19 × 19 × 19 × 449)See below for interesting mathematical facts about the number 420904374748416 from the Numbermatics database.
Names of 420904374748416
- Cardinal: 420904374748416 can be written as Four hundred twenty trillion, nine hundred four billion, three hundred seventy-four million, seven hundred forty-eight thousand, four hundred sixteen.
Scientific notation
- Scientific notation: 4.20904374748416 × 1014
Factors of 420904374748416
Divisors of 420904374748416
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 19 24 26 27 32 36 38 39 48 52 54 57 64 72 76 78 81 96 104 108 114 117 128 144 152 156 162 169 171 192 208 216 228 234 243 247 256 288 304 312 324 338 342 351 361 384 416 432 449 456 468 486 494 507 513 576 608 624 648 676 684 702 722 741 768 832 864 898 912 936 972 988 1014 1026 1053 1083 1152 1216 1248 1296 1347 1352 1368 1404 1444 1482 1521 1539 1664 1728 1796 1824 1872 1944 1976 2028 2052 2106 2166 2197 2223 2304 2432 2496 2592 2694 2704 2736 2808 2888 2964 3042 3078 3159 3211 3249 3328 3456 3592 3648 3744 3888 3952 4041 4056 4104 4212 4332 4394 4446 4563 4617 4693 4864 4992 5184 5388 5408 5472 5616 5776 5837 5928 6084 6156 6318 6422 6498 6591 6669 6859 6912 7184 7296 7488 7776 7904 8082 8112 8208 8424 8531 8664 8788 8892 9126 9234 9386 9633 9747 9984 10368 10776 10816 10944 11232 11552 11674 11856 12123 12168 12312 12636 12844 12996 13182 13338 13689 13718 14079 14368 14592 14976 15552 15808 16164 16224 16416 16848 17062 17328 17511 17576 17784 18252 18468 18772 19266 19494 19773 20007 20577 20736 21552 21632 21888 22464 23104 23348 23712 24246 24336 24624 25272 25593 25688 25992 26364 26676 27378 27436 28158 28736 28899 29241 29952 31104 31616 32328 32448 32832 33696 34124 34656 35022 35152 35568 36369 36504 36936 37544 38532 38988 39546 40014 41067 41154 41743 42237 43104 43264 43776 44928 46208 46696 47424 48492 48672 49248 50544 51186 51376 51984 52533 52728 53352 54756 54872 56316 57472 57798 58482 59319 60021 61009 61731 62208 63232 64656 64896 65664 67392 68248 69312 70044 70304 71136 72738 73008 73872 75088 75881 76779 77064 77976 79092 80028 82134 82308 83486 84474 86208 86697 87723 89167 89856 92416 93392 94848 96984 97344 98496 101088 102372 102752 103968 105066 105456 106704 109107 109512 109744 110903 112632 114944 115596 116964 118638 120042 122018 123462 125229 126711 129312 129792 131328 134784 136496 138624 140088 140608 142272 145476 146016 147744 150176 151762 153558 154128 155952 157599 158184 160056 162089 164268 164616 166972 168948 172416 173394 175446 177957 178334 183027 185193 186784 189696 193968 194688 196992 202176 204744 205504 207936 210132 210912 213408 218214 219024 219488 221806 225264 227643 230337 231192 233928 237276 240084 244036 246924 250458 253422 258624 260091 267501 269568 272992 277248 280176 281216 284544 290952 292032 295488 300352 303524 307116 308256 311904 315198 316368 320112 324178 328536 329232 332709 333944 337896 344832 346788 350892 355914 356668 366054 370386 373568 375687 380133 387936 389376 393984 404352 409488 411008 415872 420264 421824 426816 436428 438048 438976 443612 450528 455286 460674 462384 467856 472797 474552 480168 486267 488072 493848 500916 506844 517248 520182 533871 535002 545984 549081 555579 560352 562432 569088 581904 584064 590976 600704 607048 614232 616512 623808 630396 632736 640224 648356 657072 658464 665418 667888 675792 682929 691011 693576 701784 711828 713336 732108 740772 747136 751374 760266 775872 780273 793117 802503 808704 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11691788187456 13153261710888 15589050916608 16188629798016 17537682281184 22152861828864 23383576374912 26306523421776 32377259596032 35075364562368 46767152749824 52613046843552 70150729124736 105226093687104 140301458249472 210452187374208 420904374748416
- Sum of all divisors σ(n): 1442282456160000
- Sum of proper divisors (its aliquot sum) s(n): 1021378081411584
- 420904374748416 is an abundant number, because the sum of its proper divisors (1021378081411584) is greater than itself. Its abundance is 600473706663168
Bases of 420904374748416
- Binary: 10111111011001111011011111011110111000101000000002
- Hexadecimal: 0x17ECF6FBDC500
- Base-36: 4574STAO00
Squares and roots of 420904374748416
- 420904374748416 squared (4209043747484162) is 177160492682355012503294509056
- 420904374748416 cubed (4209043747484163) is 74567626402587964674818757309518674233655296
-
The
square root of 420904374748416 is 20515954.1515479119 -
The
cube root of 420904374748416 is 74942.4372983471
Scales and comparisons
How big is 420904374748416?- 420,904,374,748,416 seconds is equal to 13,383,457 years, 9 weeks, 10 hours, 33 minutes, 36 seconds.
-
To count from 1 to 420,904,374,748,416 would take you about thirty-three million, four hundred fifty-eight thousand, six hundred forty-two 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 420904374748416 cubic inches would be around 6245.2 feet tall.
Recreational maths with 420904374748416
- 420904374748416 backwards is 614847473409024
- The number of decimal digits it has is: 15
- The sum of 420904374748416's digits is 63
- More coming soon!
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"Number 420904374748416 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
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Numbermatics. (2024). Number 420904374748416 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/420904374748416/
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The information we have on file for 420904374748416 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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