428116351657512960

Names of 428116351657512960

• Cardinal: 428116351657512960 can be written as Four hundred twenty-eight quadrillion, one hundred sixteen trillion, three hundred fifty-one billion, six hundred fifty-seven million, five hundred twelve thousand, nine hundred sixty.

Scientific notation

• Scientific notation: 4.2811635165751296 × 10¹⁷

Factors of 428116351657512960

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 140920

Divisors of 428116351657512960

• Number of divisors d(n): 780
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 32 36 39 40 45 48 52 54 60 64 65 72 78 80 81 90 96 104 108 117 120 128 130 135 144 156 160 162 180 192 195 208 216 234 240 256 260 270 288 312 320 324 351 360 384 390 405 416 432 468 480 512 520 540 576 585 624 640 648 702 720 768 780 810 832 864 936 960 1024 1040 1053 1080 1152 1170 1248 1280 1296 1404 1440 1536 1560 1620 1664 1728 1755 1872 1920 2048 2080 2106 2160 2304 2340 2496 2560 2592 2808 2880 3072 3120 3240 3328 3456 3510 3744 3840 4096 4160 4212 4320 4608 4680 4992 5120 5184 5265 5616 5760 6144 6240 6480 6656 6912 7020 7488 7680 8320 8424 8640 9216 9360 9984 10240 10368 10530 11232 11520 12288 12480 12960 13312 13824 14040 14976 15360 16640 16848 17280 18432 18720 19968 20480 20736 21060 22464 23040 24960 25920 26624 27648 28080 29952 30720 33280 33696 34560 36864 37440 39936 41472 42120 44928 46080 49920 51840 53248 55296 56160 59904 61440 66560 67392 69120 74880 79872 82944 84240 89856 92160 99840 103680 110592 112320 119808 133120 134784 138240 140897 149760 159744 165888 168480 179712 184320 199680 207360 224640 239616 266240 269568 276480 281794 299520 331776 336960 359424 399360 414720 422691 449280 479232 539136 552960 563588 599040 673920 704485 718848 798720 829440 845382 898560 1078272 1127176 1198080 1268073 1347840 1408970 1437696 1658880 1690764 1797120 1831661 2113455 2156544 2254352 2396160 2536146 2695680 2817940 3381528 3594240 3663322 3804219 4226910 4313088 4508704 5072292 5391360 5494983 5635880 6340365 6763056 7188480 7326644 7608438 8453820 9017408 9158305 10144584 10782720 10989966 11271760 11412657 12680730 13526112 14653288 15216876 16484949 16907640 18034816 18316610 19021095 20289168 21565440 21979932 22543520 22825314 25361460 27052224 27474915 29306576 30433752 32969898 33815280 36069632 36633220 38042190 40578336 43959864 45087040 45650628 49454847 50722920 54104448 54949830 57063285 58613152 60867504 65939796 67630560 72139264 73266440 76084380 81156672 82424745 87919728 90174080 91301256 98909694 101445840 108208896 109899660 114126570 117226304 121735008 131879592 135261120 144278528 146532880 148364541 152168760 162313344 164849490 175839456 180348160 182602512 197819388 202891680 216417792 219799320 228253140 234452608 243470016 247274235 263759184 270522240 288557056 293065760 296729082 304337520 324626688 329698980 351678912 360696320 365205024 395638776 405783360 432835584 439598640 456506280 468905216 486940032 494548470 527518368 541044480 577114112 586131520 593458164 608675040 649253376 659397960 703357824 721392640 730410048 741822705 791277552 811566720 865671168 879197280 913012560 937810432 973880064 989096940 1055036736 1082088960 1172263040 1186916328 1217350080 1298506752 1318795920 1406715648 1442785280 1460820096 1483645410 1582555104 1623133440 1731342336 1758394560 1826025120 1875620864 1947760128 1978193880 2110073472 2164177920 2344526080 2373832656 2434700160 2597013504 2637591840 2813431296 2885570560 2921640192 2967290820 3165110208 3246266880 3516789120 3652050240 3751241728 3895520256 3956387760 4220146944 4328355840 4689052160 4747665312 4869400320 5194027008 5275183680 5626862592 5843280384 5934581640 6330220416 6492533760 7033578240 7304100480 7502483456 7791040512 7912775520 8440293888 8656711680 9378104320 9495330624 9738800640 10550367360 11253725184 11686560768 11869163280 12660440832 12985067520 14067156480 14608200960 15582081024 15825551040 16880587776 18756208640 18990661248 19477601280 19851964609 21100734720 22507450368 23373121536 23738326560 25320881664 25970135040 28134312960 29216401920 31651102080 33761175552 37512417280 37981322496 38955202560 39703929218 42201469440 46746243072 47476653120 50641763328 56268625920 58432803840 59555893827 63302204160 67522351104 75962644992 77910405120 79407858436 84402938880 94953306240 99259823045 101283526656 112537251840 116865607680 119111787654 126604408320 151925289984 158815716872 168805877760 178667681481 189906612480 198519646090 202567053312 233731215360 238223575308 253208816640 258075539917 297779469135 303850579968 317631433744 337611755520 357335362962 379813224960 397039292180 476447150616 506417633280 516151079834 536003044443 595558938270 607701159936 635262867488 714670725924 759626449920 774226619751 794078584360 893338407405 952894301232 1012835266560 1032302159668 1072006088886 1191117876540 1270525734976 1290377699585 1429341451848 1519252899840 1548453239502 1588157168720 1608009133329 1786676814810 1905788602464 2064604319336 2144012177772 2322679859253 2382235753080 2541051469952 2580755399170 2680015222215 2858682903696 3038505799680 3096906479004 3176314337440 3216018266658 3573353629620 3811577204928 3871133098755 4129208638672 4288024355544 4645359718506 4764471506160 5082102939904 5161510798340 5360030444430 5717365807392 6193812958008 6352628674880 6432036533316 6968039577759 7146707259240 7623154409856 7742266197510 8040045666645 8258417277344 8576048711088 9290719437012 9528943012320 10164205879808 10323021596680 10720060888860 11434731614784 11613399296265 12387625916016 12705257349760 12864073066632 13936079155518 14293414518480 15246308819712 15484532395020 16080091333290 16516834554688 17152097422176 18581438874024 19057886024640 20328411759616 20646043193360 20904118733277 21440121777720 22869463229568 23226798592530 24775251832032 25410514699520 25728146133264 27872158311036 28586829036960 30492617639424 30969064790040 32160182666580 33033669109376 34304194844352 34840197888795 37162877748048 38115772049280 40656823519232 41292086386720 41808237466554 42880243555440 45738926459136 46453597185060 49550503664064 50821029399040 51456292266528 55744316622072 57173658073920 60985235278848 61938129580080 64320365333160 66067338218752 68608389688704 69680395777590 74325755496096 76231544098560 81313647038464 82584172773440 83616474933108 85760487110880 91477852918272 92907194370120 99101007328128 101642058798080 102912584533056 104520593666385 111488633244144 114347316147840 121970470557696 123876259160160 128640730666320 132134676437504 137216779377408 139360791555180 148651510992192 152463088197120 165168345546880 167232949866216 171520974221760 182955705836544 185814388740240 198202014656256 203284117596160 205825169066112 209041187332770 222977266488288 228694632295680 243940941115392 247752518320320 257281461332640 264269352875008 274433558754816 278721583110360 297303021984384 304926176394240 330336691093760 334465899732432 343041948443520 365911411673088 371628777480480 396404029312512 406568235192320 411650338132224 418082374665540 445954532976576 457389264591360 495505036640640 514562922665280 528538705750016 548867117509632 557443166220720 594606043968768 609852352788480 660673382187520 668931799464864 686083896887040 731822823346176 743257554960960 792808058625024 823300676264448 836164749331080 891909065953152 914778529182720 991010073281280 1029125845330560 1057077411500032 1097734235019264 1114886332441440 1189212087937536 1219704705576960 1321346764375040 1337863598929728 1372167793774080 1486515109921920 1585616117250048 1646601352528896 1672329498662160 1783818131906304 1829557058365440 1982020146562560 2058251690661120 2195468470038528 2229772664882880 2378424175875072 2642693528750080 2675727197859456 2744335587548160 2973030219843840 3171232234500096 3293202705057792 3344658997324320 3567636263812608 3659114116730880 3964040293125120 4116503381322240 4459545329765760 4756848351750144 5285387057500160 5351454395718912 5488671175096320 5946060439687680 6586405410115584 6689317994648640 7135272527625216 7928080586250240 8233006762644480 8919090659531520 9513696703500288 10702908791437824 10977342350192640 11892120879375360 13378635989297280 14270545055250432 15856161172500480 16466013525288960 17838181319063040 21405817582875648 23784241758750720 26757271978594560 28541090110500864 32932027050577920 35676362638126080 42811635165751296 47568483517501440 53514543957189120 71352725276252160 85623270331502592 107029087914378240 142705450552504320 214058175828756480 428116351657512960
• Sum of all divisors σ(n): 1652753771856455268
• Sum of proper divisors (its aliquot sum) s(n): 1224637420198942308
• 428116351657512960 is an abundant number, because the sum of its proper divisors (1224637420198942308) is greater than itself. Its abundance is 796521068541429348

Bases of 428116351657512960

• Binary: 10111110000111110011000110110110111000101010001000000000000₂
• Hexadecimal: 0x5F0F98DB7151000
• Base-36: 393EKWU48W00

Squares and roots of 428116351657512960

• 428116351657512960 squared (428116351657512960²) is 183283610556539299773141212567961600
• 428116351657512960 cubed (428116351657512960³) is 78466710670082033503489746082476466873671232782336000
• The square root of 428116351657512960 is 654306007.6581239523
• The cube root of 428116351657512960 is 753680.4878942765

Scales and comparisons

• 428,116,351,657,512,960 seconds is equal to 13,612,775,731 years, 46 weeks, 9 hours, 36 minutes.
• To count from 1 to 428,116,351,657,512,960 would take you about forty billion, eight hundred thirty-eight million, three hundred twenty-seven thousand, one hundred ninety-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 428116351657512960 cubic inches would be around 62806.7 feet tall.

Recreational maths with 428116351657512960

• 428116351657512960 backwards is 069215756153611824
• 428116351657512960 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 428116351657512960's digits is 72
• More coming soon!