428338612297728

Names of 428338612297728

• Cardinal: 428338612297728 can be written as Four hundred twenty-eight trillion, three hundred thirty-eight billion, six hundred twelve million, two hundred ninety-seven thousand, seven hundred twenty-eight.

Scientific notation

• Scientific notation: 4.28338612297728 × 10¹⁴

Factors of 428338612297728

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 1704

Divisors of 428338612297728

• Number of divisors d(n): 672
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 67 72 88 96 99 108 128 132 134 144 176 192 198 201 216 256 264 268 288 297 352 384 396 402 432 512 528 536 576 594 603 704 737 768 792 804 864 1024 1056 1072 1152 1188 1206 1408 1474 1536 1584 1608 1621 1728 1809 2048 2112 2144 2211 2304 2376 2412 2816 2948 3072 3168 3216 3242 3456 3618 4096 4224 4288 4422 4608 4752 4824 4863 5632 5896 6144 6336 6432 6484 6633 6912 7236 8192 8448 8576 8844 9216 9504 9648 9726 11264 11792 12288 12672 12864 12968 13266 13824 14472 14589 16896 17152 17688 17831 18432 19008 19296 19452 19899 22528 23584 24576 25344 25728 25936 26532 27648 28944 29178 33792 34304 35376 35662 36864 38016 38592 38904 39798 43767 45056 47168 50688 51456 51872 53064 53493 55296 57888 58356 67584 68608 70752 71324 73728 76032 77184 77808 79596 87534 90112 94336 101376 102912 103744 106128 106986 108607 110592 115776 116712 135168 137216 141504 142648 152064 154368 155616 159192 160479 175068 188672 202752 205824 207488 212256 213972 217214 221184 231552 233424 270336 274432 283008 285296 304128 308736 311232 318384 320958 325821 350136 377344 405504 411648 414976 424512 427944 434428 463104 466848 481437 548864 566016 570592 608256 617472 622464 636768 641916 651642 700272 754688 811008 823296 829952 849024 855888 868856 926208 933696 962874 977463 1132032 1141184 1194677 1216512 1234944 1244928 1273536 1283832 1303284 1400544 1509376 1646592 1659904 1698048 1711776 1737712 1852416 1867392 1925748 1954926 2264064 2282368 2389354 2433024 2469888 2489856 2547072 2567664 2606568 2627641 2801088 2932389 3018752 3319808 3396096 3423552 3475424 3584031 3704832 3734784 3851496 3909852 4528128 4564736 4778708 4939776 4979712 5094144 5135328 5213136 5255282 5602176 5864778 6037504 6639616 6792192 6847104 6950848 7168062 7409664 7469568 7702992 7819704 7882923 9056256 9129472 9557416 9959424 10188288 10270656 10426272 10510564 10752093 11204352 11729556 13279232 13584384 13694208 13901696 14336124 14819328 14939136 15405984 15639408 15765846 18112512 18258944 19114832 19918848 20376576 20541312 20852544 21021128 21504186 22408704 23459112 23648769 27168768 27388416 27803392 28672248 28904051 29878272 30811968 31278816 31531692 32256279 36517888 38229664 39837696 40753152 41082624 41705088 42042256 43008372 44817408 46918224 47297538 54337536 54776832 55606784 57344496 57808102 59756544 61623936 62557632 63063384 64512558 70946307 73035776 76459328 81506304 82165248 83410176 84084512 86016744 86712153 89634816 93836448 94595076 109553664 111213568 114688992 115616204 119513088 123247872 125115264 126126768 129025116 141892614 146071552 152918656 163012608 164330496 166820352 168169024 172033488 173424306 176051947 179269632 187672896 189190152 219107328 222427136 229377984 231232408 246495744 250230528 252253536 258050232 260136459 283785228 305837312 328660992 333640704 336338048 344066976 346848612 352103894 358539264 375345792 378380304 438214656 444854272 458755968 462464816 492991488 500461056 504507072 516100464 520272918 528155841 567570456 611674624 657321984 667281408 672676096 688133952 693697224 704207788 750691584 756760608 780409377 889708544 917511936 924929632 985982976 1000922112 1009014144 1032200928 1040545836 1056311682 1135140912 1223349248 1314643968 1334562816 1345352192 1376267904 1387394448 1408415576 1501383168 1513521216 1560818754 1584467523 1835023872 1849859264 1936571417 1971965952 2001844224 2018028288 2064401856 2081091672 2112623364 2270281824 2446698496 2669125632 2690704384 2752535808 2774788896 2816831152 3002766336 3027042432 3121637508 3168935046 3670047744 3699718528 3873142834 3943931904 4003688448 4036056576 4128803712 4162183344 4225246728 4540563648 4753402569 4893396992 5381408768 5505071616 5549577792 5633662304 5809714251 6005532672 6054084864 6243275016 6337870092 7340095488 7399437056 7746285668 8007376896 8072113152 8257607424 8324366688 8450493456 9081127296 9506805138 9786793984 10762817536 11010143232 11099155584 11267324608 11619428502 12011065344 12108169728 12486550032 12675740184 14680190976 14798874112 15492571336 16144226304 16515214848 16648733376 16900986912 17429142753 18162254592 19013610276 21525635072 22020286464 22198311168 22534649216 23238857004 24022130688 24216339456 24973100064 25351480368 29360381952 29597748224 30985142672 32288452608 33030429696 33297466752 33801973824 34858285506 36324509184 38027220552 44040572928 44396622336 45069298432 46477714008 48432678912 49946200128 50702960736 52287428259 59195496448 61970285344 64576905216 66060859392 66594933504 67603947648 69716571012 72649018368 76054441104 88081145856 88793244672 90138596864 92955428016 96865357824 99892400256 101405921472 104574856518 118390992896 123940570688 132121718784 133189867008 135207895296 139433142024 145298036736 152108882208 177586489344 180277193728 185910856032 193730715648 199784800512 202811842944 209149713036 236781985792 247881141376 264243437568 266379734016 270415790592 278866284048 290596073472 304217764416 355172978688 360554387456 371821712064 399569601024 405623685888 418299426072 495762282752 532759468032 540831581184 557732568096 581192146944 608435528832 710345957376 721108774912 743643424128 799139202048 811247371776 836598852144 991524565504 1065518936064 1081663162368 1115465136192 1216871057664 1442217549824 1487286848256 1598278404096 1622494743552 1673197704288 1983049131008 2131037872128 2163326324736 2230930272384 2433742115328 2974573696512 3196556808192 3244989487104 3346395408576 3966098262016 4326652649472 4461860544768 4867484230656 5949147393024 6393113616384 6489978974208 6692790817152 7932196524032 8923721089536 9734968461312 11898294786048 12979957948416 13385581634304 15864393048064 17847442179072 19469936922624 23796589572096 26771163268608 35694884358144 38939873845248 47593179144192 53542326537216 71389768716288 107084653074432 142779537432576 214169306148864 428338612297728
• Sum of all divisors σ(n): 1405975041394560
• Sum of proper divisors (its aliquot sum) s(n): 977636429096832
• 428338612297728 is an abundant number, because the sum of its proper divisors (977636429096832) is greater than itself. Its abundance is 549297816799104

Bases of 428338612297728

• Binary: 1100001011001001001011010110101000110000000000000₂
• Hexadecimal: 0x185925AD46000
• Base-36: 47U01IDXC0

Squares and roots of 428338612297728

• 428338612297728 squared (428338612297728²) is 183473966785143340635713961984
• 428338612297728 cubed (428338612297728³) is 78588984325507737931952072626037172681572352
• The square root of 428338612297728 is 20696342.9691752065
• The cube root of 428338612297728 is 75381.0892107001

Scales and comparisons

• 428,338,612,297,728 seconds is equal to 13,619,842 years, 48 weeks, 3 days, 12 hours, 28 minutes, 48 seconds.
• To count from 1 to 428,338,612,297,728 would take you about thirty-four million, forty-nine thousand, six hundred seven 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 428338612297728 cubic inches would be around 6281.8 feet tall.

Recreational maths with 428338612297728

• 428338612297728 backwards is 827792216833824
• 428338612297728 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 428338612297728's digits is 72
• More coming soon!