42840728679200400
42,840,728,679,200,400 is an even composite number composed of six prime numbers multiplied together.
42840728679200400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand and twenty-five divisors.
Prime factorization of 42840728679200400:
24 × 34 × 52 × 132 × 1972 × 4492
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 13 × 13 × 197 × 197 × 449 × 449)See below for interesting mathematical facts about the number 42840728679200400 from the Numbermatics database.
Names of 42840728679200400
- Cardinal: 42840728679200400 can be written as Forty-two quadrillion, eight hundred forty trillion, seven hundred twenty-eight billion, six hundred seventy-nine million, two hundred thousand, four hundred.
Scientific notation
- Scientific notation: 4.28407286792004 × 1016
Factors of 42840728679200400
Divisors of 42840728679200400
- Number of divisors d(n): 2025
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 36 39 40 45 48 50 52 54 60 65 72 75 78 80 81 90 100 104 108 117 120 130 135 144 150 156 162 169 180 195 197 200 208 216 225 234 240 260 270 300 312 324 325 338 351 360 390 394 400 405 432 449 450 468 507 520 540 585 591 600 624 648 650 675 676 702 720 780 788 810 845 898 900 936 975 985 1014 1040 1053 1080 1170 1182 1200 1296 1300 1347 1350 1352 1404 1521 1560 1576 1620 1690 1755 1773 1796 1800 1872 1950 1970 2025 2028 2106 2160 2245 2340 2364 2535 2561 2600 2694 2700 2704 2808 2925 2955 3042 3120 3152 3240 3380 3510 3546 3592 3600 3900 3940 4041 4050 4056 4212 4225 4490 4563 4680 4728 4925 5070 5122 5200 5265 5319 5388 5400 5616 5837 5850 5910 6084 6480 6735 6760 7020 7092 7184 7605 7683 7800 7880 8082 8100 8112 8424 8450 8775 8865 8980 9126 9360 9456 9850 10140 10244 10530 10638 10776 10800 11225 11674 11700 11820 12123 12168 12675 12805 13470 13520 13689 14040 14184 14775 15210 15366 15600 15760 15957 16164 16200 16848 16900 17511 17550 17730 17960 18252 19700 20205 20280 20488 21060 21276 21552 22450 22815 23049 23348 23400 23640 24246 24336 25350 25610 26325 26595 26940 27378 28080 28368 29185 29550 30420 30732 31914 32328 32400 33293 33675 33800 35022 35100 35460 35920 36369 36504 38025 38415 38809 39400 40410 40560 40976 42120 42552 44325 44900 45630 46098 46696 46800 47280 48492 50700 51220 52533 52650 53190 53880 54756 58370 59100 60615 60840 61464 63828 64025 64656 66586 67350 67600 68445 69147 70044 70200 70920 72738 73008 75881 76050 76830 77618 78800 79785 80820 84240 85104 87555 88453 88650 89800 91260 92196 93392 96984 99879 101025 101400 102440 105066 105300 106380 107760 109512 114075 115245 116427 116740 118200 121230 121680 122928 127656 128050 132975 133172 134700 136890 138294 140088 140400 141840 145476 145925 151762 152100 153660 155236 157599 159570 161640 166465 175110 176906 177300 179600 181845 182520 184392 192075 193968 194045 199758 201601 202050 202800 204880 207441 210132 210600 212760 219024 227643 228150 230490 232854 233480 236400 242460 255312 256100 262665 265359 265950 266344 269400 273780 276588 280176 290952 291850 299637 303075 303524 304200 307320 310472 315198 319140 323280 332930 342225 345735 349281 350220 353812 354600 363690 365040 368784 379405 384150 388090 398925 399516 403202 404100 414882 420264 421200 425520 437775 442265 455286 456300 460980 465708 466960 472797 484920 499395 504517 512200 525330 530718 531900 532688 538800 547560 553176 576225 581904 582135 583700 599274 604803 606150 607048 608400 614640 620944 630396 638280 665860 682929 684450 691470 698562 700440 707624 709200 727380 758810 768300 776180 787995 796077 797850 799032 806404 808200 829764 832325 840528 875550 884530 898911 909225 910572 912600 921960 931416 945594 969840 970225 998790 1008005 1009034 1024400 1037205 1047843 1050660 1061436 1063800 1095120 1106352 1138215 1149889 1152450 1164270 1167400 1198548 1209606 1212300 1214096 1260792 1276560 1313325 1326795 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183080037090600 190403238574224 198336706848150 205965041726925 214203643396002 217465627813200 219696044508720 238004048217780 253495435971600 264448942464200 274620055635900 285604857861336 297505060272225 317338730957040 329544066763080 357006072326670 366160074181200 396673413696300 411930083453850 428407286792004 476008096435560 528897884928400 535509108490005 549240111271800 571209715722672 595010120544450 659088133526160 714012144653340 793346827392600 823860166907700 856814573584008 892515180816675 952016192871120 1071018216980010 1098480222543600 1190020241088900 1428024289306680 1586693654785200 1647720333815400 1713629147168016 1785030361633350 2142036433960020 2380040482177800 2677545542450025 2856048578613360 3295440667630800 3570060723266700 4284072867920040 4760080964355600 5355091084900050 7140121446533400 8568145735840080 10710182169800100 14280242893066800 21420364339600200 42840728679200400
- Sum of all divisors σ(n): 167711715867223011
- Sum of proper divisors (its aliquot sum) s(n): 124870987188022611
- 42840728679200400 is an abundant number, because the sum of its proper divisors (124870987188022611) is greater than itself. Its abundance is 82030258508822211
Bases of 42840728679200400
- Binary: 100110000011001101101010011011101101011110110110100100002
- Hexadecimal: 0x98336A6ED7B690
- Base-36: BPTRR24RD00
Squares and roots of 42840728679200400
- 42840728679200400 squared (428407286792004002) is 1835328033764863649095583360160000
- 42840728679200400 cubed (428407286792004003) is 78626790331850874212300229145120452934016064000000
-
42840728679200400 is a
perfect square number . Itssquare root is 206980020 -
The
cube root of 42840728679200400 is 349906.7198469817
Scales and comparisons
How big is 42840728679200400?- 42,840,728,679,200,400 seconds is equal to 1,362,202,656 years, 48 weeks, 9 hours.
-
To count from 1 to 42,840,728,679,200,400 would take you about four billion, eighty-six million, six hundred seven thousand, nine hundred seventy 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 42840728679200400 cubic inches would be around 29158.9 feet tall.
Recreational maths with 42840728679200400
- 42840728679200400 backwards is 00400297682704824
- The number of decimal digits it has is: 17
- The sum of 42840728679200400's digits is 63
- More coming soon!
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The information we have on file for 42840728679200400 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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