428920766100
428,920,766,100 is an even composite number composed of six prime numbers multiplied together.
428920766100 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred ten divisors.
Prime factorization of 428920766100:
22 × 34 × 52 × 172 × 412 × 109
(2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 17 × 17 × 41 × 41 × 109)See below for interesting mathematical facts about the number 428920766100 from the Numbermatics database.
Names of 428920766100
- Cardinal: 428920766100 can be written as Four hundred twenty-eight billion, nine hundred twenty million, seven hundred sixty-six thousand, one hundred.
Scientific notation
- Scientific notation: 4.289207661 × 1011
Factors of 428920766100
Divisors of 428920766100
- Number of divisors d(n): 810
-
Complete list of divisors:
1 2 3 4 5 6 9 10 12 15 17 18 20 25 27 30 34 36 41 45 50 51 54 60 68 75 81 82 85 90 100 102 108 109 123 135 150 153 162 164 170 180 204 205 218 225 246 255 270 289 300 306 324 327 340 369 405 410 425 436 450 459 492 510 540 545 578 612 615 654 675 697 738 765 810 820 850 867 900 918 981 1020 1025 1090 1107 1156 1230 1275 1308 1350 1377 1394 1445 1476 1530 1620 1635 1681 1700 1734 1836 1845 1853 1962 2025 2050 2091 2180 2214 2295 2460 2550 2601 2700 2725 2754 2788 2890 2943 3060 3075 3270 3321 3362 3468 3485 3690 3706 3825 3924 4050 4100 4182 4335 4428 4469 4590 4905 5043 5100 5202 5450 5508 5535 5559 5780 5886 6150 6273 6540 6642 6724 6885 6970 7225 7380 7412 7650 7803 8100 8175 8364 8405 8670 8829 8938 9180 9225 9265 9810 10086 10404 10455 10900 11070 11118 11475 11772 11849 12300 12546 13005 13284 13407 13770 13940 14450 14715 15129 15300 15606 16350 16605 16677 16810 17340 17425 17658 17876 18450 18530 18819 19620 20172 20910 21675 22140 22236 22345 22950 23409 23698 24525 25092 25215 26010 26814 27540 27675 27795 28577 28900 29430 30258 31212 31365 31501 32700 33210 33354 33620 34425 34850 35316 35547 36900 37060 37638 39015 40221 41820 42025 43350 44145 44690 45387 45900 46325 46818 47396 49050 50031 50430 52020 52275 53628 55350 55590 56457 57154 58860 59245 60516 62730 63002 65025 66420 66708 67035 68850 69700 71094 73575 75276 75645 75973 78030 80442 83025 83385 84050 85731 86700 88290 89380 90774 92650 93636 94095 94503 98100 100062 100860 104550 106641 110700 111180 111725 112914 114308 117045 118490 120663 125460 126004 126075 130050 134070 136161 137700 138975 142188 142885 147150 150093 151290 151946 156060 156825 157505 160884 166050 166770 168100 171462 176580 177735 181548 183229 185300 188190 189006 195075 200124 201105 209100 213282 220725 223450 225828 226935 227919 234090 236980 241326 250155 252150 257193 260100 268140 272322 277950 282285 283509 285770 294300 296225 300186 302580 303892 313650 315010 319923 332100 333540 335175 342924 355470 361989 366458 376380 378012 378225 379865 390150 402210 416925 426564 428655 441450 446900 453870 455838 468180 470475 472515 482652 485809 500310 504300 514386 533205 544644 549687 555900 564570 567018 571540 585225 592450 600372 603315 627300 630020 639846 670350 680805 683757 710940 714425 723978 732916 750465 756450 759730 771579 780300 787525 804420 833850 850527 857310 882900 888675 907740 911676 916145 940950 945030 959769 971618 1000620 1005525 1028772 1066410 1099374 1129140 1134036 1134675 1139595 1170450 1184900 1206630 1250775 1279692 1285965 1291541 1340700 1361610 1367514 1411425 1417545 1428850 1447956 1457427 1500930 1512900 1519460 1543158 1575050 1599615 1649061 1667700 1701054 1714620 1777350 1809945 1832290 1881900 1890060 1899325 1919538 1943236 2011050 2051271 2132820 2143275 2198748 2269350 2279190 2314737 2340900 2362575 2413260 2429045 2501550 2551581 2571930 2583082 2666025 2723220 2735028 2748435 2822850 2835090 2857700 2914854 3001860 3016575 3086316 3114893 3150100 3199230 3298122 3402108 3404025 3418785 3554700 3619890 3664580 3752325 3798650 3839076 3857895 3874623 4022100 4102542 4252635 4286550 4372281 4538700 4558380 4580725 4629474 4725150 4798845 4858090 4947183 5003100 5103162 5143860 5166164 5332050 5496870 5645700 5670180 5697975 5829708 6033150 6153813 6229786 6398460 6429825 6457705 6596244 6808050 6837570 7087725 7239780 7287135 7504650 7597300 7715790 7749246 7998075 8205084 8245305 8505270 8573100 8744562 9049725 9161450 9258948 9344679 9450300 9597690 9716180 9894366 10206324 10256355 10664100 10993740 11395950 11573685 11623869 12066300 12145225 12307626 12459572 12757905 12859650 12915410 13116843 13616100 13675140 13742175 14175450 14574270 14841549 15009300 15431580 15498492 15574465 15996150 16490610 17010540 17093925 17489124 18099450 18322900 18689358 19195380 19289475 19373115 19788732 20512710 21263175 21861405 22791900 23147370 23247738 23994225 24290450 24615252 24735915 25515810 25719300 25830820 26233686 27484350 28034037 28350900 29148540 29683098 30769065 31148930 31992300 32288525 32981220 34187850 34871607 36198900 36435675 37378716 38578950 38746230 39350529 41025420 41226525 42526350 43722810 46294740 46495476 46723395 47988450 48580900 49471830 51031620 51281775 52467372 52953181 54968700 56068074 57868425 58119345 59366196 61538130 62297860 63789525 64577050 65584215 68375700 69743214 72871350 74207745 77157900 77492460 77872325 78701058 82453050 84102111 85052700 87445620 93446790 95976900 96865575 98943660 102563550 104614821 105906362 109307025 112136148 115736850 116238690 123076260 123679575 127579050 129154100 131168430 139486428 140170185 145742700 148415490 153845325 155744650 157402116 158859543 164906100 168204222 174358035 186893580 193731150 196752645 205127100 209229642 211812724 218614050 231473700 232477380 233616975 247359150 252306333 255158100 262336860 264765905 280340370 290596725 296830980 307690650 311489300 317719086 327921075 336408444 348716070 371038725 387462300 393505290 418459284 420510555 437228100 467233950 476578629 494718300 504612666 523074105 529531810 560680740 581193450 615381300 635438172 655842150 697432140 700850925 742077450 787010580 794297715 841021110 871790175 934467900 953157258 983763225 1009225332 1046148210 1059063620 1162386900 1261531665 1311684300 1323829525 1401701850 1429735887 1484154900 1588595430 1682042220 1743580350 1906314516 1967526450 2092296420 2102552775 2382893145 2523063330 2615370525 2647659050 2803403700 2859471774 3177190860 3487160700 3935052900 3971488575 4205105550 4289207661 4765786290 5046126660 5230741050 5295318100 5718943548 6307658325 7148679435 7942977150 8410211100 8578415322 9531572580 10461482100 11914465725 12615316650 14297358870 15885954300 17156830644 21446038305 23828931450 25230633300 28594717740 35743397175 42892076610 47657862900 71486794350 85784153220 107230191525 142973588700 214460383050 428920766100
- Sum of all divisors σ(n): 1527782187470
- Sum of proper divisors (its aliquot sum) s(n): 1098861421370
- 428920766100 is an abundant number, because the sum of its proper divisors (1098861421370) is greater than itself. Its abundance is 669940655270
Bases of 428920766100
- Binary: 1100011110111011010101101111110100101002
- Hexadecimal: 0x63DDAB7E94
- Base-36: 5H1KCL90
Squares and roots of 428920766100
- 428920766100 squared (4289207661002) is 183973023591810909210000
- 428920766100 cubed (4289207661003) is 78909850220732908864690745781000000
-
The
square root of 428920766100 is 654920.4273039589 -
The
cube root of 428920766100 is 7541.5223826667
Scales and comparisons
How big is 428920766100?- 428,920,766,100 seconds is equal to 13,638 years, 18 weeks, 2 days, 17 hours, 15 minutes.
-
To count from 1 to 428,920,766,100 would take you about twenty-seven thousand, two hundred seventy-six 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 428920766100 cubic inches would be around 628.5 feet tall.
Recreational maths with 428920766100
- 428920766100 backwards is 001667029824
- 428920766100 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 428920766100's digits is 45
- More coming soon!
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