428416520159232
428,416,520,159,232 is an even composite number composed of five prime numbers multiplied together.
428416520159232 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 428416520159232:
223 × 34 × 11 × 31 × 432
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 11 × 31 × 43 × 43)See below for interesting mathematical facts about the number 428416520159232 from the Numbermatics database.
Names of 428416520159232
- Cardinal: 428416520159232 can be written as Four hundred twenty-eight trillion, four hundred sixteen billion, five hundred twenty million, one hundred fifty-nine thousand, two hundred thirty-two.
Scientific notation
- Scientific notation: 4.28416520159232 × 1014
Factors of 428416520159232
Divisors of 428416520159232
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 27 31 32 33 36 43 44 48 54 62 64 66 72 81 86 88 93 96 99 108 124 128 129 132 144 162 172 176 186 192 198 216 248 256 258 264 279 288 297 324 341 344 352 372 384 387 396 432 473 496 512 516 528 558 576 594 648 682 688 704 744 768 774 792 837 864 891 946 992 1023 1024 1032 1056 1116 1152 1161 1188 1296 1333 1364 1376 1408 1419 1488 1536 1548 1584 1674 1728 1782 1849 1892 1984 2046 2048 2064 2112 2232 2304 2322 2376 2511 2592 2666 2728 2752 2816 2838 2976 3069 3072 3096 3168 3348 3456 3483 3564 3698 3784 3968 3999 4092 4096 4128 4224 4257 4464 4608 4644 4752 5022 5184 5332 5456 5504 5547 5632 5676 5952 6138 6144 6192 6336 6696 6912 6966 7128 7396 7568 7936 7998 8184 8192 8256 8448 8514 8928 9207 9216 9288 9504 10044 10368 10664 10912 11008 11094 11264 11352 11904 11997 12276 12288 12384 12672 12771 13392 13824 13932 14256 14663 14792 15136 15872 15996 16368 16384 16512 16641 16896 17028 17856 18414 18432 18576 19008 20088 20339 20736 21328 21824 22016 22188 22528 22704 23808 23994 24552 24576 24768 25344 25542 26784 27621 27648 27864 28512 29326 29584 30272 31744 31992 32736 32768 33024 33282 33792 34056 35712 35991 36828 36864 37152 38016 38313 40176 40678 41472 42656 43648 43989 44032 44376 45056 45408 47616 47988 49104 49152 49536 49923 50688 51084 53568 55242 55296 55728 57024 57319 58652 59168 60544 61017 63488 63984 65472 65536 66048 66564 67584 68112 71424 71982 73656 73728 74304 76032 76626 80352 81356 82944 85312 87296 87978 88064 88752 90112 90816 95232 95976 98208 98304 99072 99846 101376 102168 107136 107973 110484 110592 111456 114048 114638 117304 118336 121088 122034 126976 127968 130944 131072 131967 132096 133128 135168 136224 142848 143964 147312 147456 148608 149769 152064 153252 160704 162712 165888 170624 171957 174592 175956 176128 177504 180224 181632 183051 190464 191952 196416 196608 198144 199692 202752 204336 214272 215946 220968 221184 222912 228096 229276 234608 236672 242176 244068 253952 255936 261888 262144 263934 264192 266256 270336 272448 285696 287928 294624 294912 297216 299538 304128 306504 321408 325424 331776 341248 343914 349184 351912 352256 355008 360448 363264 366102 380928 383904 392832 393216 395901 396288 399384 405504 408672 428544 431892 441936 442368 445824 456192 458552 469216 473344 484352 488136 507904 511872 515871 523776 524288 527868 528384 532512 540672 544896 549153 571392 575856 589248 589824 594432 599076 608256 613008 630509 642816 650848 663552 682496 687828 698368 703824 704512 710016 720896 726528 732204 761856 767808 785664 786432 791802 792576 798768 811008 817344 857088 863784 883872 884736 891648 912384 917104 938432 946688 968704 976272 1015808 1023744 1031742 1047552 1048576 1055736 1056768 1065024 1081344 1089792 1098306 1142784 1151712 1178496 1179648 1187703 1188864 1198152 1216512 1226016 1261018 1285632 1301696 1327104 1364992 1375656 1396736 1407648 1409024 1420032 1441792 1453056 1464408 1523712 1535616 1547613 1571328 1572864 1583604 1585152 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371982336 374888448 390070272 393117696 396188928 402259968 405402624 405798912 408569832 408969216 415236096 418480128 421749504 438829056 442257408 452542464 456523776 467140608 469557248 480477184 484230912 484704256 495976448 499851264 524156928 528251904 536346624 540536832 541065216 544759776 545292288 557973504 562332672 585105408 589676544 594283392 603389952 608103936 608698368 613453824 622854144 627720192 645641216 658243584 666468352 679477248 698875904 704335872 715128832 720715776 726346368 727056384 743964672 749776896 780140544 786235392 792377856 804519936 810805248 811597824 817139664 817938432 830472192 836960256 843499008 877658112 884514816 905084928 913047552 934281216 939114496 960954368 968461824 969408512 991952896 999702528 1048313856 1056503808 1072693248 1081073664 1082130432 1089519552 1090584576 1115947008 1124665344 1170210816 1179353088 1188566784 1206779904 1216207872 1217396736 1226907648 1245708288 1255440384 1291282432 1316487168 1332936704 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5165129728 5265948672 5331746816 5591007232 5634686976 5765726208 5810770944 5816451072 5951717376 5998215168 6289883136 6339022848 6436159488 6486441984 6537117312 6543507456 6695682048 6747992064 7021264896 7076118528 7240679424 7304380416 7474249728 7512915968 7687634944 7747694592 7755268096 7997620224 8386510848 8452030464 8581545984 8648589312 8716156416 8724676608 8927576064 8997322752 9434824704 9508534272 9654239232 9729662976 9739173888 9815261184 10043523072 10330259456 10531897344 10663493632 11182014464 11269373952 11531452416 11621541888 11632902144 11903434752 11996430336 12579766272 12678045696 12872318976 12972883968 13074234624 13087014912 13391364096 13495984128 14152237056 14481358848 14608760832 15025831936 15375269888 15495389184 15510536192 15995240448 16773021696 16904060928 17297178624 17432312832 17449353216 17855152128 17994645504 18869649408 19017068544 19308478464 19459325952 19630522368 20087046144 20660518912 21063794688 21326987264 22538747904 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135232487424 138377428992 139458502656 139594825728 143957164032 150957195264 152136548352 155674607616 157044178944 160696369152 165284151296 170615898112 180309983232 184503238656 185944670208 191942885376 202848731136 207566143488 209187753984 209392238592 215935746048 226435792896 231701741568 240413310976 247926226944 255923847168 270464974848 276754857984 278917005312 287914328064 301914390528 304273096704 311349215232 314088357888 321392738304 330568302592 360619966464 369006477312 371889340416 383885770752 405697462272 415132286976 418375507968 418784477184 431871492096 452871585792 480826621952 495852453888 511847694336 540929949696 553509715968 557834010624 575828656128 608546193408 622698430464 628176715776 661136605184 721239932928 743778680832 767771541504 811394924544 830264573952 836751015936 863742984192 905743171584 991704907776 1081859899392 1107019431936 1115668021248 1151657312256 1217092386816 1245396860928 1256353431552 1322273210368 1442479865856 1487557361664 1535543083008 1622789849088 1660529147904 1673502031872 1727485968384 1983409815552 2163719798784 2231336042496 2303314624512 2434184773632 2490793721856 2644546420736 2975114723328 3245579698176 3321058295808 3347004063744 3454971936768 3966819631104 4327439597568 4462672084992 4606629249024 4868369547264 4981587443712 5289092841472 5950229446656 6491159396352 6694008127488 6909943873536 7933639262208 8925344169984 9736739094528 9963174887424 11900458893312 12982318792704 13388016254976 13819887747072 15867278524416 17850688339968 19473478189056 23800917786624 26776032509952 35701376679936 38946956378112 47601835573248 53552065019904 71402753359872 107104130039808 142805506719744 214208260079616 428416520159232
- Sum of all divisors σ(n): 1475662628119680
- Sum of proper divisors (its aliquot sum) s(n): 1047246107960448
- 428416520159232 is an abundant number, because the sum of its proper divisors (1047246107960448) is greater than itself. Its abundance is 618829587801216
Bases of 428416520159232
- Binary: 11000010110100100011111101000000000000000000000002
- Hexadecimal: 0x185A47E800000
- Base-36: 47UZTYPS00
Squares and roots of 428416520159232
- 428416520159232 squared (4284165201592322) is 183540714745345638650634829824
- 428416520159232 cubed (4284165201592323) is 78631874318739219798213346317608177702535168
-
The
square root of 428416520159232 is 20698225.0485212379 -
The
cube root of 428416520159232 is 75385.6591337089
Scales and comparisons
How big is 428416520159232?- 428,416,520,159,232 seconds is equal to 13,622,320 years, 8 weeks, 2 days, 21 hours, 7 minutes, 12 seconds.
-
To count from 1 to 428,416,520,159,232 would take you about thirty-four million, fifty-five thousand, eight hundred 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 428416520159232 cubic inches would be around 6282.1 feet tall.
Recreational maths with 428416520159232
- 428416520159232 backwards is 232951025614824
- 428416520159232 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 428416520159232's digits is 54
- More coming soon!
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MLA style:
"Number 428416520159232 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
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Numbermatics. (2024). Number 428416520159232 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/428416520159232/
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The information we have on file for 428416520159232 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!
Keywords: Divisors of 428416520159232, math, Factors of 428416520159232, curriculum, school, college, exams, university, Prime factorization of 428416520159232, STEM, science, technology, engineering, physics, economics, calculator, four hundred twenty-eight trillion, four hundred sixteen billion, five hundred twenty million, one hundred fifty-nine thousand, two hundred thirty-two.