13405537104960
13,405,537,104,960 is an even composite number composed of nine prime numbers multiplied together.
What does the number 13405537104960 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 1792 divisors.
13405537104960 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of one thousand, seven hundred ninety-two divisors.
Prime factorization of 13405537104960:
26 × 3 × 5 × 7 × 11 × 13 × 61 × 71 × 3221
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 11 × 13 × 61 × 71 × 3221)See below for interesting mathematical facts about the number 13405537104960 from the Numbermatics database.
Names of 13405537104960
- Cardinal: 13405537104960 can be written as Thirteen trillion, four hundred five billion, five hundred thirty-seven million, one hundred four thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.340553710496 × 1013
Factors of 13405537104960
Divisors of 13405537104960
- Number of divisors d(n): 1792
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 13 14 15 16 20 21 22 24 26 28 30 32 33 35 39 40 42 44 48 52 55 56 60 61 64 65 66 70 71 77 78 80 84 88 91 96 104 105 110 112 120 122 130 132 140 142 143 154 156 160 165 168 176 182 183 192 195 208 210 213 220 224 231 240 244 260 264 273 280 284 286 305 308 312 320 330 336 352 355 364 366 385 390 416 420 426 427 429 440 448 455 462 480 488 497 520 528 546 560 568 572 610 616 624 660 671 672 704 710 715 728 732 770 780 781 793 832 840 852 854 858 880 910 915 923 924 960 976 994 1001 1040 1056 1065 1092 1120 1136 1144 1155 1220 1232 1248 1281 1320 1342 1344 1365 1420 1430 1456 1464 1491 1540 1560 1562 1586 1680 1704 1708 1716 1760 1820 1830 1846 1848 1952 1988 2002 2013 2080 2112 2130 2135 2145 2184 2240 2272 2288 2310 2343 2379 2440 2464 2485 2496 2562 2640 2684 2730 2769 2840 2860 2912 2928 2982 3003 3080 3120 3124 3172 3221 3355 3360 3408 3416 3432 3520 3640 3660 3692 3696 3904 3905 3965 3976 4004 4026 4160 4260 4270 4290 4331 4368 4544 4576 4615 4620 4686 4697 4758 4880 4928 4970 5005 5124 5280 5368 5460 5467 5538 5551 5680 5720 5824 5856 5964 6006 6160 6240 6248 6344 6405 6442 6461 6710 6720 6816 6832 6864 7280 7320 7384 7392 7455 7810 7930 7952 8008 8052 8520 8540 8580 8662 8723 8736 9152 9230 9240 9372 9394 9516 9663 9760 9940 10010 10065 10153 10248 10560 10736 10920 10934 11076 11102 11360 11440 11712 11715 11895 11928 12012 12320 12480 12496 12688 12810 12884 12922 12993 13420 13632 13664 13728 13845 14091 14560 14640 14768 14784 14910 15015 15620 15860 15904 16016 16104 16105 16401 16653 17040 17080 17160 17324 17446 17472 18460 18480 18744 18788 19032 19326 19383 19520 19880 20020 20130 20306 20496 21472 21655 21840 21868 22152 22204 22547 22720 22880 23430 23485 23790 23856 24024 24640 24992 25376 25620 25768 25844 25986 26169 26840 27328 27335 27456 27690 27755 28182 29120 29280 29536 29820 30030 30317 30459 31240 31720 31808 32032 32208 32210 32305 32802 33306 34080 34160 34320 34648 34892 35431 36920 36960 37488 37576 38064 38652 38766 39760 40040 40260 40612 40992 41873 42944 43310 43615 43680 43736 44304 44408 45094 45760 46860 46970 47580 47641 47712 48048 48315 49984 50752 50765 51240 51536 51688 51972 52338 53680 54670 55380 55510 56303 56364 58560 59072 59640 60060 60634 60918 61061 62480 63440 64064 64416 64420 64610 64965 65604 66612 67641 68160 68320 68640 69296 69784 70455 70862 71071 73840 73920 74976 75152 76128 77304 77532 79520 80080 80520 81224 81984 82005 83265 83746 86620 87230 87360 87472 88608 88816 90188 90951 93720 93940 95160 95282 95424 96096 96630 96915 101530 102480 103072 103376 103944 104676 106293 107360 109340 110760 111020 112606 112728 112735 119280 120120 121268 121836 122122 124960 125619 126880 128832 128840 129220 129930 130845 131208 133224 135282 136640 137280 138592 139568 140910 141724 142142 142923 147680 149952 150304 151585 152256 152295 154608 155064 159040 160160 161040 162448 164010 166530 167492 168909 173240 174460 174944 177155 177216 177632 180376 181902 183183 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20311419856 21483232540 21762235560 21976290336 23436253680 23601297720 23938459116 24552265760 25389274820 25779879048 26972911680 27470362920 27928202302 29016314080 29462718912 29923073895 30467129784 31248338240 31394700480 31468396960 31917945488 32224848810 34373172064 34819576896 36627150560 36828398640 37762076352 38083912230 39897431860 40622839712 41892303453 42966465080 43524471120 43952580672 46872507360 47202595440 47876918232 49104531520 50778549640 51559758096 54940725840 55856404604 58032628160 59846147790 60934259568 62936793920 63835890976 64449697620 68746344128 69820505755 73254301120 73656797280 76167824460 79794863720 81245679424 83784606906 85932930160 87048942240 93745014720 94405190880 95753836464 101557099280 103119516192 109881451680 111712809208 119692295580 121868519136 127671781952 128899395240 139641011510 147313594560 152335648920 159589727440 167569213812 171865860320 174097884480 188810381760 191507672928 203114198560 206239032384 209461517265 219762903360 223425618416 239384591160 243737038272 257798790480 279282023020 304671297840 319179454880 335138427624 343731720640 383015345856 406228397120 418923034530 446851236832 478769182320 515597580960 558564046040 609342595680 638358909760 670276855248 837846069060 893702473664 957538364640 1031195161920 1117128092080 1218685191360 1340553710496 1675692138120 1915076729280 2234256184160 2681107420992 3351384276240 4468512368320 6702768552480 13405537104960
- Sum of all divisors σ(n): 58920164868096
- Sum of proper divisors (its aliquot sum) s(n): 45514627763136
- 13405537104960 is an abundant number, because the sum of its proper divisors (45514627763136) is greater than itself. Its abundance is 32109090658176
Bases of 13405537104960
- Binary: 110000110001001110000100011011110100010000002
- Hexadecimal: 0xC313846F440
- Base-36: 4R2F2O6DC
Squares and roots of 13405537104960
- 13405537104960 squared (134055371049602) is 179708425072459338056601600
- 13405537104960 cubed (134055371049603) is 2409087960382777632918612965480103936000
-
The
square root of 13405537104960 is 3661357.2763334637 -
The
cube root of 13405537104960 is 23755.3485158029
Scales and comparisons
How big is 13405537104960?- 13,405,537,104,960 seconds is equal to 426,254 years, 31 weeks, 6 days, 10 hours, 56 minutes.
-
To count from 1 to 13,405,537,104,960 would take you about one million, sixty-five thousand, six hundred thirty-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 13405537104960 cubic inches would be around 1979.6 feet tall.
Recreational maths with 13405537104960
- 13405537104960 backwards is 06940173550431
- 13405537104960 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13405537104960's digits is 48
- More coming soon!
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"Number 13405537104960 - Facts about the integer". Numbermatics.com. 2024. Web. 16 June 2024.
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Numbermatics. (2024). Number 13405537104960 - Facts about the integer. Retrieved 16 June 2024, from https://numbermatics.com/n/13405537104960/
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The information we have on file for 13405537104960 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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