13037148705271680
13,037,148,705,271,680 is an even composite number composed of eight prime numbers multiplied together.
What does the number 13037148705271680 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2304 divisors.
13037148705271680 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 13037148705271680:
27 × 32 × 5 × 112 × 29 × 43 × 331 × 45319
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 11 × 11 × 29 × 43 × 331 × 45319)See below for interesting mathematical facts about the number 13037148705271680 from the Numbermatics database.
Names of 13037148705271680
- Cardinal: 13037148705271680 can be written as Thirteen quadrillion, thirty-seven trillion, one hundred forty-eight billion, seven hundred five million, two hundred seventy-one thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.303714870527168 × 1016
Factors of 13037148705271680
Divisors of 13037148705271680
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 29 30 32 33 36 40 43 44 45 48 55 58 60 64 66 72 80 86 87 88 90 96 99 110 116 120 121 128 129 132 144 145 160 165 172 174 176 180 192 198 215 220 232 240 242 258 261 264 288 290 319 320 330 331 344 348 352 360 363 384 387 396 430 435 440 464 473 480 484 495 516 522 528 576 580 605 638 640 645 660 662 688 696 704 720 726 774 792 860 870 880 928 946 957 960 968 990 993 1032 1044 1056 1089 1152 1160 1210 1247 1276 1290 1305 1320 1324 1376 1392 1408 1419 1440 1452 1548 1584 1595 1655 1720 1740 1760 1815 1856 1892 1914 1920 1935 1936 1980 1986 2064 2088 2112 2178 2320 2365 2420 2494 2552 2580 2610 2640 2648 2752 2784 2838 2871 2880 2904 2979 3096 3168 3190 3310 3440 3480 3509 3520 3630 3641 3712 3741 3784 3828 3870 3872 3960 3972 4128 4176 4224 4257 4356 4640 4730 4785 4840 4965 4988 5104 5160 5203 5220 5280 5296 5445 5504 5568 5676 5742 5760 5808 5958 6192 6235 6336 6380 6620 6880 6960 7018 7040 7095 7260 7282 7482 7568 7656 7740 7744 7920 7944 8256 8352 8514 8712 9280 9460 9570 9599 9680 9930 9976 10208 10320 10406 10440 10527 10560 10592 10890 10923 11136 11223 11352 11484 11616 11916 12384 12470 12672 12760 13240 13717 13760 13920 14036 14190 14233 14355 14520 14564 14895 14964 15136 15312 15480 15488 15609 15840 15888 16512 16704 17028 17424 17545 18205 18560 18705 18920 19140 19198 19360 19860 19952 20416 20640 20812 20880 21054 21120 21184 21285 21780 21846 22446 22704 22968 23232 23832 24768 24940 25520 26015 26480 27434 27520 27840 28072 28380 28466 28710 28797 29040 29128 29790 29928 30272 30624 30960 31218 31581 31680 31776 32769 33408 34056 34848 35090 36410 37410 37840 38280 38396 38720 39720 39904 40051 40832 41151 41280 41624 41760 42108 42368 42570 42699 43560 43692 44892 45319 45408 45936 46464 46827 47664 47995 49536 49880 51040 52030 52635 52960 54615 54868 55680 56115 56144 56760 56932 57420 57594 58080 58256 59580 59856 60544 61248 61920 62436 63162 63360 63552 65538 68112 68585 69696 70180 71165 72820 74820 75680 76560 76792 77440 78045 79440 79808 80102 82302 82560 83248 83520 84216 85140 85398 86391 87120 87384 89784 90638 90816 91872 93654 95328 95990 99760 102080 104060 105270 105589 105920 109230 109736 112230 112288 113520 113864 114840 115188 116160 116512 119160 119712 120153 122496 123453 123840 124872 126324 127104 128097 131076 135957 136224 137170 139392 140360 142330 143985 145640 149640 150887 151360 153120 153584 156090 156563 157905 158880 159616 160204 163845 164604 166496 167040 168432 170280 170796 172782 174240 174768 179568 181276 181632 183744 187308 190656 191980 199520 200255 204160 205755 208120 210540 211178 211840 213495 218460 219472 224460 224576 226595 227040 227728 229680 230376 232320 233024 234135 238320 239424 240306 246906 247680 249744 252648 256194 262152 271914 272448 274340 280720 284660 287970 291280 299280 301774 302720 306240 307168 312180 313126 315810 316767 317760 320408 327690 329208 332992 336864 340560 341592 345564 348480 349536 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44955685190592 45267877448860 49383139035120 49950761322880 50531584128960 53872515311040 54321452938632 56194606488240 59259766842144 60637900954752 65844185380160 67901816173290 72428603918176 74074708552680 74926141984320 75797376193440 79013022456192 81482179407948 89911370381184 90535754897720 98766278070240 101063168257920 101852724259935 107745030622080 108642905877264 112389212976480 118519533684288 131688370760320 135803632346580 144857207836352 148149417105360 149852283968640 151594752386880 162964358815896 181071509795440 197532556140480 203705448519870 217285811754528 224778425952960 237039067368576 271607264693160 289714415672704 296298834210720 303189504773760 325928717631792 362143019590880 395065112280960 407410897039740 434571623509056 449556851905920 543214529386320 592597668421440 651857435263584 724286039181760 814821794079480 869143247018112 1086429058772640 1185195336842880 1303714870527168 1448572078363520 1629643588158960 2172858117545280 2607429741054336 3259287176317920 4345716235090560 6518574352635840 13037148705271680
- Sum of all divisors σ(n): 52539790919616000
- Sum of proper divisors (its aliquot sum) s(n): 39502642214344320
- 13037148705271680 is an abundant number, because the sum of its proper divisors (39502642214344320) is greater than itself. Its abundance is 26465493509072640
Bases of 13037148705271680
- Binary: 1011100101000100110111101110010111011000101111100000002
- Hexadecimal: 0x2E5137B9762F80
- Base-36: 3KDA7FLWWW0
Squares and roots of 13037148705271680
- 13037148705271680 squared (130371487052716802) is 169967246363367042145422610022400
- 13037148705271680 cubed (130371487052716803) is 2215888265864763294437876359941320595682885632000
-
The
square root of 13037148705271680 is 114180334.1441584677 -
The
cube root of 13037148705271680 is 235357.2276656327
Scales and comparisons
How big is 13037148705271680?- 13,037,148,705,271,680 seconds is equal to 414,541,002 years, 14 weeks, 3 days, 12 hours, 48 minutes.
-
To count from 1 to 13,037,148,705,271,680 would take you about one billion, two hundred forty-three million, six hundred twenty-three thousand and six 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 13037148705271680 cubic inches would be around 19613.1 feet tall.
Recreational maths with 13037148705271680
- 13037148705271680 backwards is 08617250784173031
- The number of decimal digits it has is: 17
- The sum of 13037148705271680's digits is 63
- More coming soon!
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"Number 13037148705271680 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 13037148705271680 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/13037148705271680/
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The information we have on file for 13037148705271680 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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