13288034672640
13,288,034,672,640 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13288034672640 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2688 divisors.
13288034672640 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 13288034672640:
213 × 33 × 5 × 7 × 13 × 292 × 157
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 13 × 29 × 29 × 157)See below for interesting mathematical facts about the number 13288034672640 from the Numbermatics database.
Names of 13288034672640
- Cardinal: 13288034672640 can be written as Thirteen trillion, two hundred eighty-eight billion, thirty-four million, six hundred seventy-two thousand, six hundred forty.
Scientific notation
- Scientific notation: 1.328803467264 × 1013
Factors of 13288034672640
Divisors of 13288034672640
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 27 28 29 30 32 35 36 39 40 42 45 48 52 54 56 58 60 63 64 65 70 72 78 80 84 87 90 91 96 104 105 108 112 116 117 120 126 128 130 135 140 144 145 156 157 160 168 174 180 182 189 192 195 203 208 210 216 224 232 234 240 252 256 260 261 270 273 280 288 290 312 314 315 320 336 348 351 360 364 377 378 384 390 406 416 420 432 435 448 455 464 468 471 480 504 512 520 522 540 546 560 576 580 585 609 624 628 630 640 672 696 702 720 728 754 756 768 780 783 785 812 819 832 840 841 864 870 896 910 928 936 942 945 960 1008 1015 1024 1040 1044 1080 1092 1099 1120 1131 1152 1160 1170 1218 1248 1256 1260 1280 1305 1344 1365 1392 1404 1413 1440 1456 1508 1512 1536 1560 1566 1570 1624 1638 1664 1680 1682 1728 1740 1755 1792 1820 1827 1856 1872 1884 1885 1890 1920 2016 2030 2041 2048 2080 2088 2160 2184 2198 2240 2262 2304 2320 2340 2355 2436 2457 2496 2512 2520 2523 2560 2610 2639 2688 2730 2784 2808 2826 2880 2912 3016 3024 3045 3072 3120 3132 3140 3248 3276 3297 3328 3360 3364 3393 3456 3480 3510 3584 3640 3654 3712 3744 3768 3770 3780 3840 3915 4032 4060 4082 4095 4096 4160 4176 4205 4239 4320 4368 4396 4480 4524 4553 4608 4640 4680 4710 4872 4914 4992 5024 5040 5046 5120 5220 5278 5376 5460 5481 5495 5568 5616 5652 5655 5760 5824 5887 6032 6048 6090 6123 6144 6240 6264 6280 6496 6552 6594 6656 6720 6728 6786 6912 6960 7020 7065 7168 7280 7308 7424 7488 7536 7540 7560 7569 7680 7830 7917 8064 8120 8164 8190 8192 8320 8352 8410 8478 8640 8736 8792 8960 9048 9106 9135 9216 9280 9360 9420 9744 9828 9891 9984 10048 10080 10092 10179 10205 10240 10440 10556 10752 10920 10933 10962 10990 11136 11232 11304 11310 11520 11648 11774 12064 12096 12180 12246 12285 12288 12480 12528 12560 12615 12992 13104 13188 13195 13312 13440 13456 13572 13659 13824 13920 14040 14130 14287 14336 14560 14616 14848 14976 15072 15080 15120 15138 15360 15660 15834 16128 16240 16328 16380 16485 16640 16704 16820 16956 16965 17280 17472 17584 17661 17920 18096 18212 18270 18369 18432 18560 18720 18840 19488 19656 19782 19968 20096 20160 20184 20358 20410 20480 20880 21112 21195 21504 21840 21866 21924 21980 22272 22464 22608 22620 22707 22765 23040 23296 23548 23751 24128 24192 24360 24492 24570 24576 24960 25056 25120 25230 25984 26208 26376 26390 26624 26880 26912 27144 27318 27405 27648 27840 28080 28260 28574 28672 29120 29232 29435 29673 29696 29952 30144 30160 30240 30276 30615 30720 31320 31668 31871 32256 32480 32656 32760 32799 32970 33280 33408 33640 33912 33930 34560 34944 35168 35322 35840 36192 36424 36540 36738 36864 37120 37440 37680 37845 38976 39312 39564 39585 39936 40192 40320 40368 40716 40820 40960 40977 41760 42224 42390 42861 43008 43680 43732 43848 43960 44544 44928 45216 45240 45414 45530 46080 46592 47096 47502 48256 48384 48720 48984 49140 49455 49920 50112 50240 50460 50895 51968 52416 52752 52780 52983 53248 53760 53824 54288 54636 54665 54810 55107 55296 55680 56160 56520 57148 57344 58240 58464 58870 59189 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17576765440 17623388160 18252794880 18455603712 18928824320 19092003840 19773861120 20762554176 21092118528 21159290880 21294927360 21819432960 22714589184 22910404608 23069504640 23728633344 24337059840 24607471616 25456005120 25553912832 25953192720 26365148160 27683405568 28212387840 28393236480 28638005760 29204471808 29660791680 30547206144 30759339520 31638177792 31942391040 32729149440 34071883776 34604256960 35153530880 35246776320 36505589760 36911207424 37857648640 38184007680 39547722240 41525108352 42184237056 42318581760 42589854720 45820809216 46139009280 47457266688 48674119680 49214943232 50912010240 51107825664 51906385440 52730296320 55366811136 56786472960 57276011520 59321583360 61518679040 63276355584 63884782080 65458298880 68143767552 69208513920 70307061760 73011179520 73822414848 76368015360 79095444480 83050216704 84637163520 85179709440 91641618432 92278018560 94914533376 98429886464 102215651328 103812770880 105460592640 110733622272 113572945920 114552023040 118643166720 123037358080 126552711168 127769564160 138417027840 146022359040 147644829696 152736030720 158190888960 166100433408 170359418880 184556037120 189829066752 204431302656 207625541760 210921185280 221467244544 229104046080 237286333440 246074716160 255539128320 276834055680 295289659392 316381777920 332200866816 340718837760 369112074240 379658133504 415251083520 442934489088 458208092160 474572666880 492149432320 511078256640 553668111360 632763555840 664401733632 738224148480 830502167040 885868978176 949145333760 1022156513280 1107336222720 1328803467264 1476448296960 1661004334080 1898290667520 2214672445440 2657606934528 3322008668160 4429344890880 6644017336320 13288034672640
- Sum of all divisors σ(n): 60603532254720
- Sum of proper divisors (its aliquot sum) s(n): 47315497582080
- 13288034672640 is an abundant number, because the sum of its proper divisors (47315497582080) is greater than itself. Its abundance is 34027462909440
Bases of 13288034672640
- Binary: 110000010101110111001001011000100000000000002
- Hexadecimal: 0xC15DC962000
- Base-36: 4PKFSR9C0
Squares and roots of 13288034672640
- 13288034672640 squared (132880346726402) is 176571865461282831964569600
- 13288034672640 cubed (132880346726403) is 2346293070462251538638771732814495744000
-
The
square root of 13288034672640 is 3645275.6648352399 -
The
cube root of 13288034672640 is 23685.7378109441
Scales and comparisons
How big is 13288034672640?- 13,288,034,672,640 seconds is equal to 422,518 years, 20 weeks, 5 days, 14 hours, 24 minutes.
-
To count from 1 to 13,288,034,672,640 would take you about one million, fifty-six thousand, two hundred ninety-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 13288034672640 cubic inches would be around 1973.8 feet tall.
Recreational maths with 13288034672640
- 13288034672640 backwards is 04627643088231
- 13288034672640 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13288034672640's digits is 54
- More coming soon!
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MLA style:
"Number 13288034672640 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
APA style:
Numbermatics. (2024). Number 13288034672640 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/13288034672640/
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The information we have on file for 13288034672640 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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