428025267084960
428,025,267,084,960 is an even composite number composed of six prime numbers multiplied together.
428025267084960 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 428025267084960:
25 × 32 × 5 × 312 × 432 × 4092
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 31 × 31 × 43 × 43 × 409 × 409)See below for interesting mathematical facts about the number 428025267084960 from the Numbermatics database.
Names of 428025267084960
- Cardinal: 428025267084960 can be written as Four hundred twenty-eight trillion, twenty-five billion, two hundred sixty-seven million, eighty-four thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 4.2802526708496 × 1014
Factors of 428025267084960
Divisors of 428025267084960
- Number of divisors d(n): 972
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 32 36 40 43 45 48 60 62 72 80 86 90 93 96 120 124 129 144 155 160 172 180 186 215 240 248 258 279 288 310 344 360 372 387 409 430 465 480 496 516 558 620 645 688 720 744 774 818 860 930 961 992 1032 1116 1227 1240 1290 1333 1376 1395 1440 1488 1548 1636 1720 1849 1860 1922 1935 2045 2064 2232 2454 2480 2580 2666 2790 2883 2976 3096 3272 3440 3681 3698 3720 3844 3870 3999 4090 4128 4464 4805 4908 4960 5160 5332 5547 5580 5766 6135 6192 6544 6665 6880 7362 7396 7440 7688 7740 7998 8180 8649 8928 9245 9610 9816 10320 10664 11094 11160 11532 11997 12270 12384 12679 13088 13330 14415 14724 14792 14880 15376 15480 15996 16360 16641 17298 17587 18405 18490 19220 19632 19995 20640 21328 22188 22320 23064 23994 24540 25358 26660 27735 28830 29448 29584 30752 30960 31992 32720 33282 34596 35174 36810 36980 38037 38440 39264 39990 41323 42656 43245 44376 44640 46128 47988 49080 50716 52761 53320 55470 57319 57660 58896 59168 59985 61920 63395 63984 65440 66564 69192 70348 73620 73960 76074 76880 79980 82646 83205 86490 87935 88752 92256 95976 98160 101432 105522 106640 110940 114111 114638 115320 117792 119970 123969 126790 127968 133128 138384 140696 147240 147920 152148 153760 158283 159960 165292 166410 167281 171957 172980 175870 177504 190185 191952 196320 202864 206615 211044 213280 221880 228222 229276 230640 239940 247938 253580 263805 266256 276768 281392 286595 294480 295840 304296 316566 319920 330584 332820 334562 343914 345960 351740 371907 380370 383904 393049 405728 413230 422088 443760 456444 458552 461280 479880 495876 501843 507160 515871 527610 532512 545197 562784 570555 573190 588960 608592 619845 633132 639840 661168 665640 669124 687828 691920 703480 743814 756241 760740 786098 791415 826460 836405 844176 859785 887520 912888 917104 959760 991752 1003686 1014320 1031742 1055220 1090394 1141110 1146380 1179147 1217184 1239690 1266264 1322336 1331280 1338248 1375656 1383840 1406960 1487628 1505529 1512482 1521480 1572196 1582830 1635591 1652920 1672810 1688352 1719570 1776889 1825776 1834208 1859535 1919520 1965245 1983504 2007372 2028640 2063484 2110440 2180788 2268723 2282220 2292760 2358294 2479380 2509215 2532528 2579355 2662560 2676496 2725985 2751312 2813920 2975256 3011058 3024964 3042960 3144392 3165660 3271182 3305840 3345620 3439140 3537441 3553778 3651552 3719070 3781205 3930490 3967008 4014744 4126968 4220880 4361576 4537446 4564440 4585520 4716588 4906773 4958760 5018430 5065056 5158710 5185711 5330667 5352992 5451970 5502624 5895735 5950512 6022116 6049928 6085920 6288784 6331320 6542364 6611680 6691240 6806169 6878280 7074882 7107556 7193083 7438140 7527645 7562410 7860980 8029488 8177955 8253936 8441760 8723152 8884445 9074892 9128880 9171040 9433176 9813546 9917520 10036860 10317420 10371422 10661334 10903940 11343615 11791470 11901024 12044232 12099856 12577568 12662640 13084728 13382480 13612338 13756560 14149764 14215112 14386166 14876280 15055290 15124820 15557133 15721960 15992001 16058976 16355910 16507872 16901107 17446304 17687205 17768890 18149784 18257760 18866352 19627092 19835040 20073720 20634840 20742844 21322668 21579249 21807880 22687230 23443471 23582940 24088464 24199712 24533865 25325280 25928555 26169456 26653335 26764960 27224676 27513120 28299528 28430224 28772332 29752560 30110580 30249640 31114266 31443920 31984002 32711820 33802214 34030845 35374410 35537780 35965415 36299568 37732704 39254184 40147440 41269680 41485688 42645336 43158498 43615760 45374460 46671399 46886942 47165880 48176928 49067730 50703321 51857110 52338912 53306670 54449352 56599056 56860448 57544664 59505120 60221160 60499280 62228532 62887840 63968004 64737747 65423640 67604428 68061690 70330413 70748820 71075560 71930830 72599136 77785665 78508368 79960005 80294880 82539360 82971376 84505535 85290672 86316996 87231520 90748920 93342798 93773884 94331760 98135460 101406642 103714220 106613340 107896245 108898704 113198112 115089328 117217355 120442320 120998560 124457064 127936008 129475494 130847280 135208856 136123380 140660826 141497640 142151120 143861660 152109963 155571330 157016736 159920010 160757041 165942752 169011070 170581344 172633992 181497840 186685596 187547768 188663520 196270920 202813284 207428440 210991239 213226680 215792490 217797408 222985573 230178656 233356995 234434710 240884640 248914128 253516605 255872016 258950988 261694560 270417712 272246760 281321652 282995280 284302240 287723320 304219926 309302569 311142660 319840020 321514082 323688735 338022140 345267984 351652065 362995680 373371192 375095536 392541840 405626568 414856880 421982478 426453360 431584980 445971146 466713990 468869420 482271123 497828256 507033210 511744032 517901976 540835424 544493520 562643304 565990560 575446640 608439852 618605138 622285320 639680040 643028164 647377470 668956719 676044280 690535968 703304130 726747601 746742384 750191072 760549815 785083680 803785205 811253136 829713760 843964956 852906720 863169960 891942292 927907707 933427980 937738840 964542246 1014066420 1035803952 1054956195 1088987040 1114927865 1125286608 1150893280 1216879704 1237210276 1244570640 1279360080 1286056328 1294754940 1337913438 1352088560 1406608260 1446813369 1453495202 1493484768 1521099630 1546512845 1607570410 1622506272 1687929912 1726339920 1783884584 1855815414 1866855960 1875477680 1929084492 2006870157 2028132840 2071607904 2109912390 2180242803 2229855730 2250573216 2411355615 2433759408 2474420552 2489141280 2558720160 2572112656 2589509880 2675826876 2704177120 2783723121 2813216520 2893626738 2906990404 3042199260 3093025690 3215140820 3344783595 3375859824 3452679840 3567769168 3633738005 3711630828 3733711920 3750955360 3858168984 4013740314 4056265680 4219824780 4360485606 4459711460 4639538535 4822711230 4867518816 4948841104 5144225312 5179019760 5351653752 5567446242 5626433040 5787253476 5813980808 6084398520 6186051380 6430281640 6540728409 6689567190 6751719648 6912552763 7135538336 7234066845 7267476010 7423261656 7467423840 7716337968 8027480628 8112531360 8439649560 8720971212 8919422920 9279077070 9588379639 9645422460 9897682208 10034350785 10358039520 10703307504 10901214015 11134892484 11252866080 11574506952 11627961616 12168797040 12372102760 12860563280 13081456818 13379134380 13825105526 13918615605 14468133690 14534952020 14846523312 15432675936 16054961256 16879299120 17441942424 17838845840 18558154140 19176759278 19290844920 20068701570 20737658289 21406615008 21802428030 22269784968 23149013904 23255923232 24337594080 24744205520 25721126560 26162913636 26758268760 27650211052 27837231210 28765138917 28936267380 29069904040 29693046624 32109922512 32703642045 33758598240 34562763815 34883884848 35677691680 37116308280 38353518556 38581689840 40137403140 41475316578 43604856060 44539569936 46298027808 47941898195 49488411040 52325827272 53516537520 55300422104 55674462420 57530277834 57872534760 58139808080 62212974867 64219845024 65407284090 69125527630 69767769696 74232616560 76707037112 77163379680 80274806280 82950633156 86295416751 87209712120 89079139872 95883796390 103688291445 104651654544 107033075040 110600844208 111348924840 115060555668 115745069520 116279616160 124425949734 130814568180 138251055260 143825694585 148465233120 153414074224 160549612560 165901266312 172590833502 174419424240 191767592780 207376582890 209303309088 221201688416 222697849680 230121111336 231490139040 248851899468 261629136360 276502110520 287651389170 297239768809 306828148448 311064874335 321099225120 331802532624 345181667004 348838848480 383535185560 414753165780 431477083755 445395699360 460242222672 497703798936 523258272720 553004221040 575302778340 594479537618 622129748670 663605065248 690363334008 767070371120 829506331560 862954167510 891719306427 920484445344 995407597872 1046516545440 1106008442080 1150605556680 1188959075236 1244259497340 1380726668016 1486198844045 1534140742240 1659012663120 1725908335020 1783438612854 1990815195744 2301211113360 2377918150472 2488518994680 2675157919281 2761453336032 2972397688090 3318025326240 3451816670040 3566877225708 4458596532135 4602422226720 4755836300944 4977037989360 5350315838562 5944795376180 6903633340080 7133754451416 8917193064270 9511672601888 9954075978720 10700631677124 11889590752360 13375789596405 13807266680160 14267508902832 17834386128540 21401263354248 23779181504720 26751579192810 28535017805664 35668772257080 42802526708496 47558363009440 53503158385620 71337544514160 85605053416992 107006316771240 142675089028320 214012633542480 428025267084960
- Sum of all divisors σ(n): 1548976286692926
- Sum of proper divisors (its aliquot sum) s(n): 1120951019607966
- 428025267084960 is an abundant number, because the sum of its proper divisors (1120951019607966) is greater than itself. Its abundance is 692925752523006
Bases of 428025267084960
- Binary: 11000010101001001011001011111111111011110101000002
- Hexadecimal: 0x1854965FFDEA0
- Base-36: 47Q03CQJS0
Squares and roots of 428025267084960
- 428025267084960 squared (4280252670849602) is 183205629263151342375858201600
- 428025267084960 cubed (4280252670849603) is 78416638396828516844032459142232740007936000
-
The
square root of 428025267084960 is 20688771.5218898389 -
The
cube root of 428025267084960 is 75362.7033941181
Scales and comparisons
How big is 428025267084960?- 428,025,267,084,960 seconds is equal to 13,609,879 years, 27 weeks, 1 day, 19 hours, 36 minutes.
-
To count from 1 to 428,025,267,084,960 would take you about thirty-four million, twenty-four thousand, six hundred ninety-eight 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 428025267084960 cubic inches would be around 6280.2 feet tall.
Recreational maths with 428025267084960
- 428025267084960 backwards is 069480762520824
- The number of decimal digits it has is: 15
- The sum of 428025267084960's digits is 63
- More coming soon!
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The information we have on file for 428025267084960 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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