13834742841216
13,834,742,841,216 is an even composite number composed of six prime numbers multiplied together.
What does the number 13834742841216 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
13834742841216 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 13834742841216:
27 × 35 × 112 × 19 × 31 × 792
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 11 × 11 × 19 × 31 × 79 × 79)See below for interesting mathematical facts about the number 13834742841216 from the Numbermatics database.
Names of 13834742841216
- Cardinal: 13834742841216 can be written as Thirteen trillion, eight hundred thirty-four billion, seven hundred forty-two million, eight hundred forty-one thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 1.3834742841216 × 1013
Factors of 13834742841216
Divisors of 13834742841216
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 19 22 24 27 31 32 33 36 38 44 48 54 57 62 64 66 72 76 79 81 88 93 96 99 108 114 121 124 128 132 144 152 158 162 171 176 186 192 198 209 216 228 237 242 243 248 264 279 288 297 304 316 324 341 342 352 363 372 384 396 418 432 456 474 484 486 496 513 528 558 576 589 594 608 627 632 648 682 684 704 711 726 744 792 836 837 864 869 891 912 948 968 972 992 1023 1026 1056 1089 1116 1152 1178 1188 1216 1254 1264 1296 1364 1368 1408 1422 1452 1488 1501 1539 1584 1672 1674 1728 1738 1767 1782 1824 1881 1896 1936 1944 1984 2046 2052 2112 2133 2178 2232 2299 2356 2376 2432 2449 2508 2511 2528 2592 2607 2673 2728 2736 2844 2904 2976 3002 3069 3078 3168 3267 3344 3348 3456 3476 3534 3564 3648 3751 3762 3792 3872 3888 3968 4092 4104 4224 4266 4356 4464 4503 4598 4617 4712 4752 4898 5016 5022 5056 5184 5214 5301 5346 5456 5472 5643 5688 5808 5952 6004 6138 6156 6241 6336 6399 6479 6534 6688 6696 6897 6952 7068 7128 7296 7347 7502 7524 7533 7584 7744 7776 7821 8184 8208 8532 8712 8928 9006 9196 9207 9234 9424 9504 9559 9796 9801 10032 10044 10112 10368 10428 10602 10692 10912 10944 11253 11286 11376 11616 11904 12008 12276 12312 12482 12672 12798 12958 13068 13376 13392 13509 13794 13904 14136 14256 14694 15004 15048 15066 15168 15488 15552 15642 15903 16368 16416 16511 16929 17064 17424 17856 18012 18392 18414 18468 18723 18848 19008 19118 19197 19437 19592 19602 20064 20088 20691 20856 21204 21384 21824 21888 22041 22506 22572 22752 23232 23463 24016 24552 24624 24964 25596 25916 26136 26752 26784 26939 27018 27588 27621 27808 28272 28512 28677 29388 29403 30008 30096 30132 30336 31104 31284 31806 32736 32832 33022 33759 33858 34128 34848 35712 36024 36784 36828 36936 37446 37696 38016 38236 38394 38874 39184 39204 40128 40176 40527 41382 41712 42408 42768 43648 44082 45012 45144 45504 46464 46531 46926 47709 48032 49104 49248 49533 49928 50787 51192 51832 52272 53568 53878 54036 55176 55242 55616 56169 56544 57024 57354 58311 58776 58806 60016 60192 60264 62073 62568 63612 65472 65664 66044 66123 67518 67716 68256 68651 69696 70389 71269 72048 73568 73656 73872 74892 75392 76472 76788 77748 78368 78408 80256 80352 80817 81054 82764 82863 83424 84816 85536 86031 88164 90024 90288 91008 93062 93852 95418 96064 98208 98496 99066 99856 101277 101574 102384 103664 104544 107136 107756 108072 110352 110484 111232 112338 113088 114048 114708 116622 117552 117612 118579 120032 120384 120528 121581 124146 125136 127224 130944 132088 132246 135036 135432 136512 137302 139392 139593 140778 142538 143127 144096 147136 147312 147744 148599 149784 152944 153576 155496 156736 156816 160704 161634 162108 165528 165726 166848 168507 169632 171072 172062 174933 176328 180048 180576 181621 186124 186219 187704 190836 192128 193471 196416 196992 198132 198369 199712 202554 203148 204768 205953 207328 209088 211167 213807 215512 216144 220704 220968 224676 226176 229416 233244 235104 235224 237158 240064 240768 241056 242451 243162 248292 250272 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28584179424 29187221184 30339348336 32024867688 33097470912 34936219296 36027976149 37190168928 38112239232 39303246708 40452464448 40571093376 42699823584 43780831776 45509022504 46581625728 48037301532 49586891904 52404328944 55785253392 56933098112 57168358848 58374442368 60678696672 64049735376 66194941824 69872438592 72055952298 74380337856 78606493416 80904928896 85399647168 87561663552 91018045008 96074603064 104808657888 108083928447 111570506784 114336717696 121357393344 128099470752 139744877184 144111904596 148760675712 157212986832 170799294336 175123327104 182036090016 192149206128 209617315776 216167856894 223141013568 242714786688 256198941504 288223809192 314425973664 364072180032 384298412256 419234631552 432335713788 446282027136 512397883008 576447618384 628851947328 728144360064 768596824512 864671427576 1152895236768 1257703894656 1537193649024 1729342855152 2305790473536 3458685710304 4611580947072 6917371420608 13834742841216
- Sum of all divisors σ(n): 49941199526400
- Sum of proper divisors (its aliquot sum) s(n): 36106456685184
- 13834742841216 is an abundant number, because the sum of its proper divisors (36106456685184) is greater than itself. Its abundance is 22271713843968
Bases of 13834742841216
- Binary: 110010010101001001101110111010111111100000002
- Hexadecimal: 0xC9526EEBF80
- Base-36: 4WJLCOO00
Squares and roots of 13834742841216
- 13834742841216 squared (138347428412162) is 191400109482577360188358656
- 13834742841216 cubed (138347428412163) is 2647971294472045771742810037437067165696
-
The
square root of 13834742841216 is 3719508.4139192373 -
The
cube root of 13834742841216 is 24006.2153122733
Scales and comparisons
How big is 13834742841216?- 13,834,742,841,216 seconds is equal to 439,902 years, 1 week, 3 days, 10 hours, 33 minutes, 36 seconds.
-
To count from 1 to 13,834,742,841,216 would take you about one million, ninety-nine thousand, seven hundred fifty-five 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 13834742841216 cubic inches would be around 2000.5 feet tall.
Recreational maths with 13834742841216
- 13834742841216 backwards is 61214824743831
- 13834742841216 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13834742841216's digits is 54
- More coming soon!
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"Number 13834742841216 - Facts about the integer". Numbermatics.com. 2024. Web. 3 June 2024.
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Numbermatics. (2024). Number 13834742841216 - Facts about the integer. Retrieved 3 June 2024, from https://numbermatics.com/n/13834742841216/
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The information we have on file for 13834742841216 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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