13738648132801920
13,738,648,132,801,920 is an even composite number composed of nine prime numbers multiplied together.
13738648132801920 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of two thousand and forty-eight divisors.
Prime factorization of 13738648132801920:
27 × 3 × 5 × 17 × 19 × 31 × 197 × 223 × 16267
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 17 × 19 × 31 × 197 × 223 × 16267)See below for interesting mathematical facts about the number 13738648132801920 from the Numbermatics database.
Names of 13738648132801920
- Cardinal: 13738648132801920 can be written as Thirteen quadrillion, seven hundred thirty-eight trillion, six hundred forty-eight billion, one hundred thirty-two million, eight hundred one thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.373864813280192 × 1016
Factors of 13738648132801920
Divisors of 13738648132801920
- Number of divisors d(n): 2048
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 19 20 24 30 31 32 34 38 40 48 51 57 60 62 64 68 76 80 85 93 95 96 102 114 120 124 128 136 152 155 160 170 186 190 192 197 204 223 228 240 248 255 272 285 304 310 320 323 340 372 380 384 394 408 446 456 465 480 496 510 527 544 570 589 591 608 620 640 646 669 680 744 760 788 816 892 912 930 960 969 985 992 1020 1054 1088 1115 1140 1178 1182 1216 1240 1292 1338 1360 1488 1520 1576 1581 1615 1632 1767 1784 1824 1860 1920 1938 1970 1984 2040 2108 2176 2230 2280 2356 2364 2432 2480 2584 2635 2676 2720 2945 2955 2976 3040 3152 3162 3230 3264 3345 3349 3534 3568 3648 3720 3743 3791 3876 3940 3968 4080 4216 4237 4460 4560 4712 4728 4845 4960 5168 5270 5352 5440 5890 5910 5952 6080 6107 6304 6324 6460 6528 6690 6698 6913 7068 7136 7296 7440 7486 7582 7752 7880 7905 8160 8432 8474 8835 8920 9120 9424 9456 9690 9920 10013 10047 10336 10540 10704 10880 11229 11373 11780 11820 11904 12160 12214 12608 12648 12711 12920 13380 13396 13826 14136 14272 14880 14972 15164 15504 15760 15810 16267 16320 16745 16864 16948 17670 17840 18240 18321 18715 18848 18912 18955 19380 19840 20026 20094 20672 20739 21080 21185 21408 22458 22746 23560 23640 24428 25216 25296 25422 25840 26760 26792 27652 28272 28544 29760 29944 30039 30328 30535 31008 31520 31620 32534 32640 33490 33728 33896 34565 35340 35680 36480 36642 37430 37696 37824 37910 38760 40052 40188 41344 41478 42160 42370 42816 43931 44916 45492 47120 47280 48801 48856 50065 50235 50592 50844 51680 53520 53584 55304 56145 56544 56865 59520 59888 60078 60656 61070 62016 63040 63240 63555 63631 65068 66980 67456 67792 69130 70680 71360 72029 73284 74860 75392 75648 75820 77520 80104 80376 81335 82956 84320 84740 85632 87862 89832 90984 91605 94240 94560 97602 97712 100130 100470 101184 101688 103360 103695 103819 107040 107168 110608 112290 113088 113730 116033 117521 119776 120156 121312 122140 124032 126080 126480 127110 127262 130136 131347 131793 133960 135584 138260 141360 142720 144058 146568 149720 150195 151640 155040 160208 160752 162670 165912 168640 169480 175724 179664 181968 183210 188480 189120 190893 195204 195424 200260 200940 202368 203376 206720 207390 207638 214080 214336 216087 219655 221216 224580 226176 227460 232066 235042 239552 240312 242624 244005 244280 252960 254220 254524 260272 262694 263586 267920 271168 276520 276539 282720 288116 293136 299440 300390 303280 309073 310080 311457 318155 320416 321504 325340 331824 337280 338960 348099 351448 352563 359328 360145 363936 366420 376960 378240 381786 390408 390848 394041 400520 401880 406752 414780 415276 428160 428672 432174 439310 442432 449160 454920 464132 470084 479104 480624 485248 488010 488560 504277 505920 508440 509048 519095 520544 525388 527172 535840 542336 553040 553078 565440 576232 580165 586272 587605 598880 600780 606560 618146 620160 622914 636310 640832 643008 650680 656735 658965 663648 677920 696198 702896 705126 718656 720290 727872 732840 746827 763572 780816 781696 788082 801040 803760 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10101947156472 10268047931840 10633628585760 11079554945808 11298230372370 11623221770560 11662689416640 12051445730528 12321657518208 12627433945590 13034770524480 13469262875296 13849443682260 13947866124672 14178171447680 14311091805002 14772739927744 15064307163160 15402071897760 16836578594120 17434832655840 18077168595792 18465924909680 20203894312944 20536095863680 21267257171520 21466637707503 22159109891616 22596460744740 23246443541120 23325378833280 24102891461056 25254867891180 26069541048960 26938525750592 27698887364520 28622183610004 29545479855488 30128614326320 30804143795520 33673157188240 34869665311680 35777729512505 36154337191584 36931849819360 40407788625888 42534514343040 42933275415006 44318219783232 45192921489480 48205782922112 50509735782360 53877051501184 55397774729040 57244367220008 60257228652640 61608287591040 67346314376480 69739330623360 71555459025010 72308674383168 73863699638720 80815577251776 85866550830012 88636439566464 90385842978960 101019471564720 107333188537515 110795549458080 114488734440016 120514457305280 134692628752960 143110918050020 144617348766336 147727399277440 161631154503552 171733101660024 180771685957920 202038943129440 214666377075030 221591098916160 228977468880032 241028914610560 269385257505920 286221836100040 343466203320048 361543371915840 404077886258880 429332754150060 443182197832320 457954937760064 572443672200080 686932406640096 723086743831680 808155772517760 858665508300120 915909875520128 1144887344400160 1373864813280192 1717331016600240 2289774688800320 2747729626560384 3434662033200480 4579549377600640 6869324066400960 13738648132801920
- Sum of all divisors σ(n): 50868774332006400
- Sum of proper divisors (its aliquot sum) s(n): 37130126199204480
- 13738648132801920 is an abundant number, because the sum of its proper divisors (37130126199204480) is greater than itself. Its abundance is 23391478066402560
Bases of 13738648132801920
- Binary: 1100001100111100111010010010011010011001010101100000002
- Hexadecimal: 0x30CF3A49A65580
- Base-36: 3R9XZTKVXXC
Squares and roots of 13738648132801920
- 13738648132801920 squared (137386481328019202) is 188750452516941682844669955686400
- 13738648132801920 cubed (137386481328019203) is 2593176052037398312249247207154279868668837888000
-
The
square root of 13738648132801920 is 117211979.4765105057 -
The
cube root of 13738648132801920 is 239505.0455353701
Scales and comparisons
How big is 13738648132801920?- 13,738,648,132,801,920 seconds is equal to 436,846,514 years, 10 weeks, 16 hours, 32 minutes.
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To count from 1 to 13,738,648,132,801,920 would take you about one billion, three hundred ten million, five hundred thirty-nine thousand, five hundred forty-two 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 13738648132801920 cubic inches would be around 19958.8 feet tall.
Recreational maths with 13738648132801920
- 13738648132801920 backwards is 02910823184683731
- The number of decimal digits it has is: 17
- The sum of 13738648132801920's digits is 66
- More coming soon!
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"Number 13738648132801920 - Facts about the integer". Numbermatics.com. 2024. Web. 26 September 2024.
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Numbermatics. (2024). Number 13738648132801920 - Facts about the integer. Retrieved 26 September 2024, from https://numbermatics.com/n/13738648132801920/
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The information we have on file for 13738648132801920 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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