34948741137408
34,948,741,137,408 is an even composite number composed of five prime numbers multiplied together.
34948741137408 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred forty divisors.
Prime factorization of 34948741137408:
210 × 34 × 7 × 31 × 1941721
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 31 × 1941721)See below for interesting mathematical facts about the number 34948741137408 from the Numbermatics database.
Names of 34948741137408
- Cardinal: 34948741137408 can be written as Thirty-four trillion, nine hundred forty-eight billion, seven hundred forty-one million, one hundred thirty-seven thousand, four hundred eight.
Scientific notation
- Scientific notation: 3.4948741137408 × 1013
Factors of 34948741137408
Divisors of 34948741137408
- Number of divisors d(n): 440
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 31 32 36 42 48 54 56 62 63 64 72 81 84 93 96 108 112 124 126 128 144 162 168 186 189 192 216 217 224 248 252 256 279 288 324 336 372 378 384 432 434 448 496 504 512 558 567 576 648 651 672 744 756 768 837 864 868 896 992 1008 1024 1116 1134 1152 1296 1302 1344 1488 1512 1536 1674 1728 1736 1792 1953 1984 2016 2232 2268 2304 2511 2592 2604 2688 2976 3024 3072 3348 3456 3472 3584 3906 3968 4032 4464 4536 4608 5022 5184 5208 5376 5859 5952 6048 6696 6912 6944 7168 7812 7936 8064 8928 9072 9216 10044 10368 10416 10752 11718 11904 12096 13392 13824 13888 15624 15872 16128 17577 17856 18144 20088 20736 20832 21504 23436 23808 24192 26784 27648 27776 31248 31744 32256 35154 35712 36288 40176 41472 41664 46872 47616 48384 53568 55552 62496 64512 70308 71424 72576 80352 82944 83328 93744 95232 96768 107136 111104 124992 140616 142848 145152 160704 166656 187488 193536 214272 222208 249984 281232 285696 290304 321408 333312 374976 428544 499968 562464 580608 642816 666624 749952 857088 999936 1124928 1285632 1499904 1941721 1999872 2249856 2571264 2999808 3883442 4499712 5825163 5999616 7766884 8999424 11650326 13592047 15533768 17475489 17998848 23300652 27184094 31067536 34950978 40776141 46601304 52426467 54368188 60193351 62135072 69901956 81552282 93202608 104852934 108736376 120386702 122328423 124270144 139803912 157279401 163104564 180580053 186405216 209705868 217472752 240773404 244656846 248540288 279607824 314558802 326209128 361160106 366985269 372810432 419411736 421353457 434945504 481546808 489313692 497080576 541740159 559215648 629117604 652418256 722320212 733970538 745620864 838823472 842706914 869891008 963093616 978627384 994161152 1083480318 1100955807 1118431296 1258235208 1264060371 1304836512 1444640424 1467941076 1491241728 1625220477 1677646944 1685413828 1739782016 1926187232 1957254768 1988322304 2166960636 2201911614 2236862592 2516470416 2528120742 2609673024 2889280848 2935882152 2982483456 3250440954 3355293888 3370827656 3479564032 3792181113 3852374464 3914509536 4333921272 4403823228 4473725184 4875661431 5032940832 5056241484 5219346048 5778561696 5871764304 5964966912 6500881908 6710587776 6741655312 6959128064 7584362226 7704748928 7829019072 8667842544 8807646456 8947450368 9751322862 10065881664 10112482968 10438692096 11376543339 11557123392 11743528608 13001763816 13421175552 13483310624 13918256128 15168724452 15409497856 15658038144 17335685088 17615292912 17894900736 19502645724 20131763328 20224965936 20877384192 22753086678 23114246784 23487057216 26003527632 26842351104 26966621248 30337448904 30818995712 31316076288 34129630017 34671370176 35230585824 39005291448 40263526656 40449931872 41754768384 45506173356 46228493568 46974114432 52007055264 53684702208 53933242496 60674897808 61637991424 62632152576 68259260034 69342740352 70461171648 78010582896 80527053312 80899863744 91012346712 92456987136 93948228864 104014110528 107866484992 121349795616 125264305152 136518520068 138685480704 140922343296 156021165792 161054106624 161799727488 182024693424 184913974272 187896457728 208028221056 215732969984 242699591232 273037040136 277370961408 281844686592 312042331584 323599454976 364049386848 375792915456 416056442112 431465939968 485399182464 546074080272 554741922816 563689373184 624084663168 647198909952 728098773696 832112884224 970798364928 1092148160544 1127378746368 1248169326336 1294397819904 1456197547392 1664225768448 1941596729856 2184296321088 2496338652672 2912395094784 3883193459712 4368592642176 4992677305344 5824790189568 8737185284352 11649580379136 17474370568704 34948741137408
- Sum of all divisors σ(n): 123120460035584
- Sum of proper divisors (its aliquot sum) s(n): 88171718898176
- 34948741137408 is an abundant number, because the sum of its proper divisors (88171718898176) is greater than itself. Its abundance is 53222977760768
Bases of 34948741137408
- Binary: 1111111001001001000110100110100000100000000002
- Hexadecimal: 0x1FC9234D0400
- Base-36: CDZ8A4G00
Squares and roots of 34948741137408
- 34948741137408 squared (349487411374082) is 1221414507089554225536958464
- 34948741137408 cubed (349487411374083) is 42686899429747619023908214308676212621312
-
The
square root of 34948741137408 is 5911746.0311999195 -
The
cube root of 34948741137408 is 32694.6866200931
Scales and comparisons
How big is 34948741137408?- 34,948,741,137,408 seconds is equal to 1,111,261 years, 44 weeks, 6 days, 17 hours, 16 minutes, 48 seconds.
-
To count from 1 to 34,948,741,137,408 would take you about two million, seven hundred seventy-eight thousand, one hundred fifty-four 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 34948741137408 cubic inches would be around 2724.6 feet tall.
Recreational maths with 34948741137408
- 34948741137408 backwards is 80473114784943
- 34948741137408 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 34948741137408's digits is 63
- More coming soon!
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