82348800768
82,348,800,768 is an even composite number composed of seven prime numbers multiplied together.
What does the number 82348800768 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1152 divisors.
82348800768 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 82348800768:
28 × 33 × 13 × 17 × 31 × 37 × 47
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 17 × 31 × 37 × 47)See below for interesting mathematical facts about the number 82348800768 from the Numbermatics database.
Names of 82348800768
- Cardinal: 82348800768 can be written as Eighty-two billion, three hundred forty-eight million, eight hundred thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 8.2348800768 × 1010
Factors of 82348800768
Divisors of 82348800768
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 17 18 24 26 27 31 32 34 36 37 39 47 48 51 52 54 62 64 68 72 74 78 93 94 96 102 104 108 111 117 124 128 136 141 144 148 153 156 186 188 192 204 208 216 221 222 234 248 256 272 279 282 288 296 306 312 333 351 372 376 384 403 408 416 423 432 442 444 459 468 481 496 527 544 558 564 576 592 611 612 624 629 663 666 702 744 752 768 799 806 816 832 837 846 864 884 888 918 936 962 992 999 1054 1088 1116 1128 1147 1152 1184 1209 1222 1224 1248 1258 1269 1326 1332 1404 1443 1457 1488 1504 1581 1598 1612 1632 1664 1674 1692 1728 1739 1768 1776 1833 1836 1872 1887 1924 1984 1989 1998 2108 2176 2232 2256 2294 2304 2368 2397 2418 2444 2448 2496 2516 2538 2652 2664 2808 2886 2914 2976 3008 3162 3196 3224 3264 3328 3348 3384 3441 3456 3478 3536 3552 3627 3666 3672 3744 3774 3848 3968 3978 3996 4216 4329 4352 4371 4464 4512 4588 4736 4743 4794 4836 4888 4896 4992 5032 5076 5217 5304 5328 5499 5616 5661 5772 5828 5952 5967 6016 6324 6392 6448 6528 6696 6768 6851 6882 6912 6956 7072 7104 7191 7254 7332 7344 7488 7548 7696 7936 7956 7992 8177 8432 8658 8742 8928 9024 9176 9472 9486 9588 9672 9776 9792 9984 10064 10152 10323 10387 10434 10608 10656 10881 10998 11232 11322 11544 11656 11904 11934 12032 12648 12784 12896 12987 13056 13113 13392 13536 13702 13764 13912 14144 14208 14229 14382 14508 14664 14688 14911 14976 15096 15392 15651 15912 15984 16354 16497 16864 16983 17316 17484 17856 18048 18352 18941 18972 19176 19344 19499 19552 19584 20128 20304 20553 20646 20774 20868 21216 21312 21573 21762 21996 22464 22607 22644 23088 23312 23808 23868 24531 24769 25296 25568 25792 25974 26226 26784 27072 27404 27528 27824 28288 28416 28458 28764 29016 29328 29376 29563 29822 29952 30192 30784 30969 31161 31302 31824 31968 32708 32994 33728 33966 34632 34968 35712 36096 36704 37882 37944 38352 38688 38998 39104 39168 39339 40256 40608 41106 41292 41548 41736 42432 42624 43146 43524 43992 44733 44928 45214 45288 46176 46624 46953 47736 49062 49538 50592 51136 51584 51948 52452 53568 53909 54144 54808 55056 55648 56576 56823 56916 57528 58032 58497 58656 58752 59126 59644 60384 61568 61659 61938 62322 62604 63648 63936 65416 65988 67456 67821 67932 69264 69936 71424 73408 73593 74307 75764 75888 76704 77376 77996 78208 78678 80512 81216 82212 82584 83096 83472 84864 85248 86292 87048 87984 88689 89466 89856 90428 90576 92352 93248 93483 93906 95472 98124 99076 101184 102272 103168 103896 104904 107136 107818 108288 109616 110112 111296 113646 113832 115056 116064 116994 117312 117504 118252 119288 120768 123136 123318 123876 124644 125208 127296 127872 130832 131976 134199 134912 135642 135864 138528 139872 146816 147186 148614 151528 151776 153408 154752 155992 156416 157356 161024 161727 162432 164424 165168 166192 166944 169728 170469 172584 174096 175491 175968 177378 178932 180856 181152 184704 184977 186496 186966 187812 190944 196248 198152 202368 203463 204544 207792 209808 214272 215636 219232 220224 220779 222592 222921 227292 227664 230112 232128 233988 234624 236504 238576 241536 246636 247752 249288 250416 253487 254592 255744 261664 263952 266067 268398 271284 271728 277056 279744 280449 293632 294372 297228 303056 303552 306816 309504 311984 314712 321997 323454 324864 328848 330336 332384 333888 340938 345168 348192 350982 351936 354756 357864 361712 362304 369408 369954 372992 373932 375624 381888 384319 392496 396304 402597 404736 406926 415584 419616 431272 438464 440448 441558 445184 445842 454584 455328 460224 464256 467976 469248 473008 477152 483072 485181 493272 495504 498576 500832 506974 509184 511407 523328 526473 527904 532134 536796 542568 543456 554112 559488 560898 588744 594456 606112 607104 610389 613632 623968 629424 643994 646908 657696 660672 664768 667776 668763 681876 690336 696384 700817 701964 703872 709512 715728 723424 724608 739908 747864 751248 760461 763776 768638 784992 792608 798201 805194 813852 831168 839232 862544 876928 880896 883116 891684 909168 910656 916453 920448 928512 935952 946016 954304 965991 970362 986544 991008 997152 1001664 1013948 1022814 1046656 1052946 1055808 1064268 1073592 1085136 1086912 1108224 1118976 1121796 1152957 1177488 1188912 1212224 1214208 1220778 1247936 1258848 1287988 1293816 1315392 1321344 1329536 1335552 1337526 1363752 1380672 1392768 1401634 1403928 1407744 1419024 1431456 1446848 1449216 1455543 1479816 1495728 1502496 1520922 1527552 1537276 1569984 1585216 1596402 1610388 1627704 1662336 1678464 1725088 1753856 1766232 1783368 1818336 1821312 1832906 1840896 1871904 1892032 1908608 1931982 1940724 1973088 1982016 1994304 2003328 2027896 2045628 2093312 2102451 2105892 2111616 2128536 2147184 2170272 2173824 2243592 2281383 2305914 2354976 2377824 2424448 2441556 2495872 2517696 2575976 2587632 2630784 2642688 2659072 2675052 2727504 2749359 2761344 2785536 2803268 2807856 2838048 2862912 2893696 2897973 2911086 2959632 2991456 3004992 3041844 3074552 3139968 3170432 3192804 3220776 3255408 3324672 3356928 3450176 3458871 3532464 3566736 3636672 3642624 3665812 3743808 3784064 3817216 3863964 3881448 3946176 3964032 3988608 4006656 4055792 4091256 4204902 4211784 4223232 4257072 4294368 4340544 4347648 4487184 4562766 4611828 4709952 4755648 4848896 4883112 4991744 5035392 5151952 5175264 5261568 5350104 5455008 5498718 5522688 5606536 5615712 5676096 5725824 5787392 5795946 5822172 5919264 5982912 6009984 6083688 6149104 6279936 6307353 6340864 6385608 6441552 6510816 6844149 6900352 6917742 7064928 7133472 7273344 7331624 7487616 7568128 7727928 7762896 7892352 7928064 7977216 8111584 8182512 8248077 8409804 8423568 8514144 8588736 8681088 8693919 8974368 9125532 9223656 9419904 9511296 9766224 10070784 10303904 10350528 10376613 10700208 10910016 10997436 11213072 11231424 11352192 11451648 11591892 11644344 11838528 11913889 11965824 12019968 12167376 12298208 12614706 12771216 12883104 13021632 13688298 13800704 13835484 14129856 14266944 14546688 14663248 14975232 15455856 15525792 15784704 16223168 16365024 16496154 16819608 16847136 17028288 17177472 17362176 17387838 17948736 18251064 18447312 18839808 18922059 19022592 19532448 20607808 20701056 20753226 21400416 21820032 21994872 22426144 22462848 22704384 23183784 23288688 23677056 23827778 23931648 24334752 24596416 24744231 25229412 25542432 25766208 26043264 27376596 27670968 28259712 28533888 29326496 30911712 31051584 32446336 32730048 32992308 33639216 33694272 34056576 34354944 34775676 35741667 35897472 36502128 36894624 37844118 39064896 41215616 41402112 41506452 42800832 43640064 43989744 44852288 44925696 46367568 46577376 47354112 47655556 48669504 49192832 49488462 50458824 51084864 51532416 52086528 54753192 55341936 56519424 57067776 58652992 61823424 62103168 64892672 65460096 65984616 67278432 67388544 68113152 69551352 71483334 71794944 73004256 73789248 75688236 78129792 82431232 83012904 85601664 87979488 89704576 92735136 93154752 95311112 97339008 98385664 98976924 100917648 102169728 103064832 107225001 109506384 110683872 117305984 123646848 124206336 130920192 131969232 134556864 134777088 139102704 142966668 146008512 147578496 151376472 156259584 166025808 171203328 175958976 179409152 185470272 186309504 190622224 194678016 197953848 201835296 204339456 214450002 219012768 221367744 234611968 247293696 263938464 269113728 278205408 285933336 292017024 295156992 302752944 321675003 332051616 351917952 370940544 372619008 381244448 395907696 403670592 428900004 438025536 442735488 527876928 538227456 556410816 571866672 584034048 605505888 643350006 664103232 703835904 741881088 762488896 791815392 807341184 857800008 876051072 885470976 1055753856 1112821632 1143733344 1211011776 1286700012 1328206464 1524977792 1583630784 1614682368 1715600016 1752102144 2111507712 2225643264 2287466688 2422023552 2573400024 2656412928 3049955584 3167261568 3431200032 4574933376 4844047104 5146800048 6334523136 6862400064 9149866752 10293600096 13724800128 20587200192 27449600256 41174400384 82348800768
- Sum of all divisors σ(n): 300646563840
- Sum of proper divisors (its aliquot sum) s(n): 218297763072
- 82348800768 is an abundant number, because the sum of its proper divisors (218297763072) is greater than itself. Its abundance is 135948962304
Bases of 82348800768
- Binary: 10011001011000101111011111011000000002
- Hexadecimal: 0x132C5EFB00
- Base-36: 11TWCLC0
Squares and roots of 82348800768
- 82348800768 squared (823488007682) is 6781324987927757389824
- 82348800768 cubed (823488007683) is 558433980373922898471656286584832
-
The
square root of 82348800768 is 286964.8075426671 -
The
cube root of 82348800768 is 4350.6327659773
Scales and comparisons
How big is 82348800768?- 82,348,800,768 seconds is equal to 2,618 years, 22 weeks, 5 days, 2 hours, 52 minutes, 48 seconds.
-
To count from 1 to 82,348,800,768 would take you about five thousand, two hundred thirty-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 82348800768 cubic inches would be around 362.6 feet tall.
Recreational maths with 82348800768
- 82348800768 backwards is 86700884328
- 82348800768 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 82348800768's digits is 54
- More coming soon!
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Cite this page
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The information we have on file for 82348800768 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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