135998398224
135,998,398,224 is an even composite number composed of six prime numbers multiplied together.
135998398224 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 135998398224:
24 × 33 × 13 × 312 × 113 × 223
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 31 × 31 × 113 × 223)See below for interesting mathematical facts about the number 135998398224 from the Numbermatics database.
Names of 135998398224
- Cardinal: 135998398224 can be written as One hundred thirty-five billion, nine hundred ninety-eight million, three hundred ninety-eight thousand, two hundred twenty-four.
Scientific notation
- Scientific notation: 1.35998398224 × 1011
Factors of 135998398224
Divisors of 135998398224
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 31 36 39 48 52 54 62 72 78 93 104 108 113 117 124 144 156 186 208 216 223 226 234 248 279 312 339 351 372 403 432 446 452 468 496 558 624 669 678 702 744 806 837 892 904 936 961 1017 1116 1209 1338 1356 1404 1469 1488 1612 1674 1784 1808 1872 1922 2007 2034 2232 2418 2676 2712 2808 2883 2899 2938 3051 3224 3348 3503 3568 3627 3844 4014 4068 4407 4464 4836 5352 5424 5616 5766 5798 5876 6021 6102 6448 6696 6913 7006 7254 7688 8028 8136 8649 8697 8814 9672 10509 10704 10881 11532 11596 11752 12042 12204 12493 13221 13392 13826 14012 14508 15376 16056 16272 17298 17394 17628 19344 20739 21018 21762 23064 23192 23504 24084 24408 24986 25199 25947 26091 26442 27652 28024 29016 31527 32112 34596 34788 35256 37479 39663 41478 42036 43524 45539 46128 46384 48168 48816 49972 50398 51894 52182 52884 55304 56048 58032 62217 63054 69192 69576 70512 74958 75597 78273 79326 82956 84072 87048 89869 91078 94581 96336 99944 100796 103788 104364 105768 108593 110608 112437 124434 126108 136617 138384 139152 149916 151194 156546 158652 165912 168144 174096 179738 182156 186651 189162 199888 201592 207576 208728 211536 214303 217186 224874 226791 248868 252216 269607 273234 299832 302388 313092 317304 325779 327587 331824 337311 359476 364312 373302 378324 403184 409851 415152 417456 428606 434372 449748 453582 497736 504432 539214 546468 599664 604776 626184 634608 642909 651558 655174 674622 680373 718952 728624 746604 756648 781169 808821 819702 857212 868744 899496 907164 977337 982761 995472 1078428 1092936 1209552 1229553 1252368 1285818 1303116 1310348 1349244 1360746 1411709 1437904 1493208 1513296 1562338 1617642 1639404 1714424 1737488 1798992 1814328 1928727 1954674 1965522 2156856 2185872 2343507 2426463 2459106 2571636 2606232 2620696 2698488 2721492 2785939 2823418 2932011 2948283 2986416 3124676 3235284 3278808 3428848 3628656 3857454 3909348 3931044 4235127 4313712 4687014 4852926 4918212 5143272 5212464 5241392 5396976 5442984 5571878 5646836 5786181 5864022 5896566 6249352 6470568 6557616 7030521 7714908 7818696 7862088 8357817 8470254 8844849 9374028 9705852 9836424 10155197 10286544 10885968 11143756 11293672 11572362 11728044 11793132 12498704 12705381 12941136 14061042 15429816 15637392 15724176 16715634 16940508 17689698 18748056 19411704 19672848 20310394 21091563 22287512 22587344 23144724 23456088 23586264 24216239 25073451 25410762 28122084 30465591 30859632 33431268 33881016 35379396 37496112 38116143 38823408 40620788 42183126 44575024 46289448 46912176 47172528 48432478 50146902 50821524 56244168 60931182 66862536 67762032 70758792 72648717 75220353 76232286 81241576 84366252 91396773 92578896 96864956 100293804 101643048 112488336 121862364 133725072 141517584 145297434 150440706 152464572 162483152 168732504 182793546 193729912 200587608 203286096 217946151 243724728 274190319 290594868 300881412 304929144 314811107 337465008 365587092 387459824 401175216 435892302 487449456 548380638 581189736 601762824 609858288 629622214 653838453 731174184 871784604 944433321 1096761276 1162379472 1203525648 1259244428 1307676906 1462348368 1743569208 1888866642 2193522552 2518488856 2615353812 2833299963 3487138416 3777733284 4387045104 5036977712 5230707624 5666599926 7555466568 8499899889 10461415248 11333199852 15110933136 16999799778 22666399704 33999599556 45332799408 67999199112 135998398224
- Sum of all divisors σ(n): 440201825280
- Sum of proper divisors (its aliquot sum) s(n): 304203427056
- 135998398224 is an abundant number, because the sum of its proper divisors (304203427056) is greater than itself. Its abundance is 168205028832
Bases of 135998398224
- Binary: 11111101010100010001011011111000100002
- Hexadecimal: 0x1FAA22DF10
- Base-36: 1QH5XNO0
Squares and roots of 135998398224
- 135998398224 squared (1359983982242) is 18495564319493686354176
- 135998398224 cubed (1359983982243) is 2515367121700107922848982353383424
-
The
square root of 135998398224 is 368779.6065728149 -
The
cube root of 135998398224 is 5142.5429919375
Scales and comparisons
How big is 135998398224?- 135,998,398,224 seconds is equal to 4,324 years, 17 weeks, 12 hours, 50 minutes, 24 seconds.
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To count from 1 to 135,998,398,224 would take you about eight thousand, six hundred forty-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 135998398224 cubic inches would be around 428.5 feet tall.
Recreational maths with 135998398224
- 135998398224 backwards is 422893899531
- The number of decimal digits it has is: 12
- The sum of 135998398224's digits is 63
- More coming soon!
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