13968707973120
13,968,707,973,120 is an even composite number composed of six prime numbers multiplied together.
13968707973120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, six hundred sixty-four divisors.
Prime factorization of 13968707973120:
212 × 33 × 5 × 193 × 29 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 19 × 19 × 19 × 29 × 127)See below for interesting mathematical facts about the number 13968707973120 from the Numbermatics database.
Names of 13968707973120
- Cardinal: 13968707973120 can be written as Thirteen trillion, nine hundred sixty-eight billion, seven hundred seven million, nine hundred seventy-three thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.396870797312 × 1013
Factors of 13968707973120
Divisors of 13968707973120
- Number of divisors d(n): 1664
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 27 29 30 32 36 38 40 45 48 54 57 58 60 64 72 76 80 87 90 95 96 108 114 116 120 127 128 135 144 145 152 160 171 174 180 190 192 216 228 232 240 254 256 261 270 285 288 290 304 320 342 348 360 361 380 381 384 432 435 456 464 480 508 512 513 522 540 551 570 576 580 608 635 640 684 696 720 722 760 762 768 783 855 864 870 912 928 960 1016 1024 1026 1044 1080 1083 1102 1140 1143 1152 1160 1216 1270 1280 1305 1368 1392 1440 1444 1520 1524 1536 1566 1653 1710 1728 1740 1805 1824 1856 1905 1920 2032 2048 2052 2088 2160 2166 2204 2280 2286 2304 2320 2413 2432 2540 2560 2565 2610 2736 2755 2784 2880 2888 3040 3048 3072 3132 3249 3306 3420 3429 3456 3480 3610 3648 3683 3712 3810 3840 3915 4064 4096 4104 4176 4320 4332 4408 4560 4572 4608 4640 4826 4864 4959 5080 5120 5130 5220 5415 5472 5510 5568 5715 5760 5776 6080 6096 6144 6264 6498 6612 6840 6858 6859 6912 6960 7220 7239 7296 7366 7424 7620 7680 7830 8128 8208 8265 8352 8640 8664 8816 9120 9144 9216 9280 9652 9728 9747 9918 10160 10240 10260 10440 10469 10830 10944 11020 11049 11136 11430 11520 11552 12065 12160 12192 12288 12528 12996 13224 13680 13716 13718 13824 13920 14440 14478 14592 14732 14848 14877 15240 15360 15660 16245 16256 16416 16530 16704 17145 17280 17328 17632 18240 18288 18415 18432 18560 19304 19456 19494 19836 20320 20480 20520 20577 20880 20938 21660 21717 21888 22040 22098 22272 22860 23040 23104 24130 24320 24384 24795 25056 25992 26448 27360 27432 27436 27648 27840 28880 28956 29184 29464 29696 29754 30480 30720 31320 31407 32490 32512 32832 33060 33147 33408 34290 34295 34560 34656 35264 36195 36480 36576 36830 36864 37120 38608 38912 38988 39672 40640 41040 41154 41760 41876 43320 43434 43776 44080 44196 44544 45720 45847 46080 46208 48260 48640 48735 48768 49590 50112 51984 52345 52896 54720 54864 54872 55245 55296 55680 57760 57912 58368 58928 59392 59508 60960 61440 61731 62640 62814 64980 65024 65151 65664 66120 66294 66816 68580 68590 69120 69312 69977 70528 72390 72960 73152 73660 74240 74385 77216 77824 77976 79344 81280 82080 82308 83520 83752 86640 86868 87552 88160 88392 89088 91440 91694 92160 92416 94221 96520 97280 97470 97536 99180 99441 100224 102885 103968 104690 105792 108585 109440 109728 109744 110490 110592 111360 115520 115824 116736 117856 118784 119016 121920 123462 125280 125628 129960 130048 130302 131328 132240 132588 133632 137160 137180 137541 138240 138624 139954 141056 144780 145920 146304 147320 148480 148770 154432 155952 157035 158688 162560 164160 164616 165735 167040 167504 173280 173736 175104 176320 176784 178176 182880 183388 184320 184832 185193 188442 193040 194560 194940 195072 198360 198882 198911 200448 205770 207936 209380 209931 211584 217170 218880 219456 219488 220980 222720 229235 231040 231648 233472 235712 238032 243840 246924 250560 251256 259920 260096 260604 262656 264480 265176 267264 274320 274360 275082 276480 277248 279908 282112 282663 289560 291840 292608 294640 296960 297540 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66539520 66714624 67177920 67885056 69687440 70225920 70236160 70420992 71607960 71656448 71796402 72361728 74127360 75427840 75575160 75785091 76170240 76381824 78398370 79015680 79223616 79773780 80401920 80613504 83393280 83624928 84283392 84856320 85092032 85929552 88026240 88952832 89570560 90452160 93894656 94078044 94818816 95477280 95728536 96482304 99029520 99809280 100766880 101046788 101560320 101827584 101842432 104531160 105354240 105631488 106365040 107202560 107411940 107484672 111191040 111499904 113141760 114572736 117368320 117597555 118523520 119660670 120602880 120920256 125437392 126308485 126425088 127284480 127303040 127638048 128643072 132039360 133429248 134355840 135770112 139374880 140472320 140841984 143215920 143312896 143592804 144723456 148254720 151150320 151570182 152340480 152763648 156796740 158031360 158447232 159547560 160803840 161227008 166786560 167249856 169712640 170184064 171859104 176052480 179141120 179491005 180904320 187789312 188156088 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2036848640 2042208768 2112629760 2149693440 2229998080 2273552730 2291454720 2297484864 2418405120 2425122912 2444218368 2508747840 2535155712 2552760960 2579632128 2675997696 2722945024 2728263276 2749745664 2816839680 2871856080 2894469120 3010497408 3031403640 3055272960 3063313152 3168944640 3224540160 3233497216 3344997120 3403681280 3410329095 3437182080 3567996928 3637684368 3666327552 3763121760 3792752640 3829141440 3869448192 4013996544 4041871520 4073697280 4084417536 4225259520 4299386880 4459996160 4547105460 4582909440 4594969728 4836810240 4850245824 5017495680 5070311424 5105521920 5351995392 5445890048 5456526552 5499491328 5743712160 5788938240 6020994816 6062807280 6110545920 6126626304 6337889280 6449080320 6466994432 6689994240 6807362560 6820658190 6874364160 7275368736 7332655104 7526243520 7658282880 7738896384 8027993088 8083743040 8168835072 8450519040 8919992320 9094210920 9165818880 9189939456 9673620480 9700491648 10034991360 10211043840 10703990784 10913053104 10998982656 11487424320 12041989632 12125614560 12221091840 12253252608 12675778560 12898160640 12933988864 13379988480 13614725120 13641316380 13748728320 14550737472 15052487040 15316565760 16055986176 16167486080 16337670144 17839984640 18188421840 18331637760 18379878912 19347240960 19400983296 20069982720 20422087680 21826106208 21997965312 22974848640 24083979264 24251229120 24506505216 25351557120 25867977728 26759976960 27229450240 27282632760 27497456640 29101474944 30104974080 30633131520 32111972352 32334972160 36376843680 36663275520 36759757824 38694481920 38801966592 40139965440 40844175360 43652212416 45949697280 48167958528 48502458240 49013010432 51735955456 53519953920 54565265520 54994913280 58202949888 60209948160 61266263040 64669944320 72753687360 73519515648 77603933184 80279930880 81688350720 87304424832 91899394560 96335917056 97004916480 103471910912 109130531040 109989826560 116405899776 120419896320 122532526080 129339888640 145507374720 147039031296 155207866368 160559861760 174608849664 183798789120 194009832960 218261062080 232811799552 240839792640 245065052160 258679777280 291014749440 310415732736 349217699328 367597578240 388019665920 436522124160 465623599104 481679585280 517359554560 582029498880 698435398656 735195156480 776039331840 873044248320 931247198208 1164058997760 1396870797312 1552078663680 1746088496640 2328117995520 2793741594624 3492176993280 4656235991040 6984353986560 13968707973120
- Sum of all divisors σ(n): 54653497344000
- Sum of proper divisors (its aliquot sum) s(n): 40684789370880
- 13968707973120 is an abundant number, because the sum of its proper divisors (40684789370880) is greater than itself. Its abundance is 26716081397760
Bases of 13968707973120
- Binary: 110010110100010101111110000001110000000000002
- Hexadecimal: 0xCB457E07000
- Base-36: 4Y94W2DC0
Squares and roots of 13968707973120
- 13968707973120 squared (139687079731202) is 195124802438306258642534400
- 13968707973120 cubed (139687079731203) is 2725641383573433452008367181243875328000
-
The
square root of 13968707973120 is 3737473.4745707561 -
The
cube root of 13968707973120 is 24083.4525235097
Scales and comparisons
How big is 13968707973120?- 13,968,707,973,120 seconds is equal to 444,161 years, 36 weeks, 4 days, 19 hours, 12 minutes.
-
To count from 1 to 13,968,707,973,120 would take you about one million, one hundred ten thousand, four hundred 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 13968707973120 cubic inches would be around 2007 feet tall.
Recreational maths with 13968707973120
- 13968707973120 backwards is 02137970786931
- The number of decimal digits it has is: 14
- The sum of 13968707973120's digits is 63
- More coming soon!
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"Number 13968707973120 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
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Numbermatics. (2024). Number 13968707973120 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/13968707973120/
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The information we have on file for 13968707973120 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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