13327713584640
13,327,713,584,640 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13327713584640 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2160 divisors.
13327713584640 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 13327713584640:
29 × 32 × 5 × 7 × 132 × 712 × 97
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 13 × 13 × 71 × 71 × 97)See below for interesting mathematical facts about the number 13327713584640 from the Numbermatics database.
Names of 13327713584640
- Cardinal: 13327713584640 can be written as Thirteen trillion, three hundred twenty-seven billion, seven hundred thirteen million, five hundred eighty-four thousand, six hundred forty.
Scientific notation
- Scientific notation: 1.332771358464 × 1013
Factors of 13327713584640
Divisors of 13327713584640
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 28 30 32 35 36 39 40 42 45 48 52 56 60 63 64 65 70 71 72 78 80 84 90 91 96 97 104 105 112 117 120 126 128 130 140 142 144 156 160 168 169 180 182 192 194 195 208 210 213 224 234 240 252 256 260 273 280 284 288 291 312 315 320 336 338 355 360 364 384 388 390 416 420 426 448 455 468 480 485 497 504 507 512 520 546 560 568 576 582 585 624 630 639 640 672 676 679 710 720 728 768 776 780 819 832 840 845 852 873 896 910 923 936 960 970 994 1008 1014 1040 1065 1092 1120 1136 1152 1164 1170 1183 1248 1260 1261 1278 1280 1344 1352 1358 1365 1420 1440 1455 1456 1491 1521 1536 1552 1560 1638 1664 1680 1690 1704 1746 1792 1820 1846 1872 1920 1940 1988 2016 2028 2037 2080 2130 2184 2240 2272 2304 2328 2340 2366 2485 2496 2520 2522 2535 2556 2560 2688 2704 2716 2730 2769 2840 2880 2910 2912 2982 3042 3104 3120 3195 3276 3328 3360 3380 3395 3408 3492 3549 3584 3640 3692 3744 3783 3840 3880 3976 4032 4056 4074 4095 4160 4260 4365 4368 4473 4480 4544 4608 4615 4656 4680 4732 4970 4992 5040 5041 5044 5070 5112 5376 5408 5432 5460 5538 5680 5760 5820 5824 5915 5964 6084 6111 6208 6240 6305 6390 6461 6552 6656 6720 6760 6790 6816 6887 6984 7098 7280 7384 7455 7488 7566 7605 7680 7760 7952 8064 8112 8148 8190 8307 8320 8520 8730 8736 8827 8946 8960 9088 9230 9312 9360 9464 9940 9984 10080 10082 10088 10140 10185 10224 10647 10752 10816 10864 10920 11076 11349 11360 11520 11640 11648 11830 11928 11999 12168 12222 12416 12480 12610 12780 12922 13104 13440 13520 13580 13632 13774 13845 13968 14196 14560 14768 14910 14976 15123 15132 15210 15520 15904 16128 16224 16296 16380 16393 16614 16640 17040 17460 17472 17654 17745 17892 17920 18176 18460 18624 18720 18915 18928 19383 19880 19968 20160 20164 20176 20280 20370 20448 20661 21294 21632 21728 21840 22152 22365 22698 22720 23040 23280 23296 23660 23856 23998 24336 24444 24832 24960 25205 25220 25560 25844 26208 26481 26880 27040 27160 27264 27548 27690 27936 28392 29120 29536 29820 29952 30246 30264 30420 30555 31040 31808 32256 32305 32448 32592 32760 32786 33228 33280 34080 34435 34920 34944 35287 35308 35490 35784 35997 36352 36920 37248 37440 37830 37856 38766 39760 40320 40328 40352 40560 40740 40896 41322 41535 42588 43264 43456 43680 44135 44304 44730 45369 45396 45440 46560 46592 47320 47712 47996 48209 48672 48888 49179 49664 49920 50410 50440 51120 51688 52416 52962 53235 53760 54080 54320 54528 55096 55380 55872 56745 56784 58149 58240 59072 59640 59904 59995 60492 60528 60840 61110 61983 62080 63616 64610 64896 65184 65520 65533 65572 66456 68160 68870 69840 69888 70574 70616 70980 71568 71994 73840 74496 74880 75615 75660 75712 77532 79443 79520 80640 80656 80704 81120 81480 81792 81965 82644 83070 83993 85176 86528 86912 87360 88270 88608 89460 89531 90738 90792 90880 93120 94640 95424 95992 96418 96915 97344 97776 98358 99840 100820 100880 102240 103305 103376 104832 105861 105924 106470 107991 108160 108640 109056 110192 110760 111744 113490 113568 114751 116298 116480 118144 119280 119990 120984 121056 121680 122220 123966 124160 127232 129220 129792 130368 131040 131066 131144 132405 132912 136320 137740 139680 139776 141148 141232 141960 143136 143988 144627 147537 147680 148992 149760 151230 151320 151424 155064 158886 159040 161280 161312 161408 162240 162960 163584 163930 165288 166140 167986 170352 173824 174720 176435 176540 177216 178920 179062 179985 181476 181584 181760 186240 189280 190848 191984 192836 193830 194688 195552 196599 196716 201640 201760 204480 206610 206752 209664 211722 211848 212940 215982 216320 217280 220384 221520 223488 226845 226980 227136 229502 232596 232960 236288 238560 239980 241045 241968 242112 243360 244440 245895 247932 248320 251979 254464 258440 259584 260736 262080 262132 262288 264810 265824 268593 272640 275480 279360 282296 282464 283920 286272 287976 289254 290745 295074 295360 299520 302460 302640 302848 309915 310128 317583 317772 318080 322624 322816 324480 325920 327168 327665 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4881946368 4907111040 4928888160 4958226780 5206138119 5214285440 5257480704 5284581120 5288775232 5339628840 5363265024 5633015040 5695604096 5724962880 5784597910 5866071120 5949872136 6102432960 6257142528 6407554608 6542814720 6571850880 6610969040 6704081280 6869955456 6941517492 7119505120 7219779840 7322919552 7437340170 7633283840 7821428160 7886221056 7933162848 8009443260 8136577280 8543406144 8587444320 8676896865 8762467840 8938775040 9153649440 9159940608 9255356656 9385713792 9763892736 9814222080 9857776320 9916453560 10412276238 10428570880 10569162240 10577550464 10679257680 11266030080 11391208192 11449925760 11569195820 11732142240 11899744272 12204865920 12514285056 12815109216 13143701760 13221938080 13408162560 13739910912 13883034984 14239010240 14439559680 14645839104 14874680340 15266567680 15642856320 15772442112 15866325696 16018886520 16273154560 17086812288 17174888640 17353793730 18307298880 18510713312 18771427584 19628444160 19715552640 19832907120 20824552476 20857141760 21155100928 21358515360 22782416384 22899851520 23138391640 23464284480 23799488544 24409731840 25630218432 26030690595 26287403520 26443876160 26816325120 27479821824 27766069968 28478020480 29291678208 29749360680 31285712640 31732651392 32037773040 34173624576 34349777280 34707587460 36614597760 37021426624 37542855168 39431105280 39665814240 41649104952 42310201856 42717030720 45799703040 46276783280 46928568960 47598977088 48819463680 51260436864 52061381190 52887752320 55532139936 56956040960 59498721360 62571425280 63465302784 64075546080 68347249152 68699554560 69415174920 73229195520 74042853248 78862210560 79331628480 83298209904 85434061440 92553566560 93857137920 95197954176 102520873728 104122762380 105775504640 111064279872 113912081920 118997442720 126930605568 128151092160 137399109120 138830349840 146458391040 148085706496 158663256960 166596419808 170868122880 185107133120 187714275840 190395908352 205041747456 208245524760 211551009280 222128559744 237994885440 256302184320 277660699680 296171412992 317326513920 333192839616 341736245760 370214266240 380791816704 416491049520 444257119488 475989770880 512604368640 555321399360 634653027840 666385679232 740428532480 832982099040 888514238976 951979541760 1025208737280 1110642798720 1332771358464 1480857064960 1665964198080 1903959083520 2221285597440 2665542716928 3331928396160 4442571194880 6663856792320 13327713584640
- Sum of all divisors σ(n): 58534670978784
- Sum of proper divisors (its aliquot sum) s(n): 45206957394144
- 13327713584640 is an abundant number, because the sum of its proper divisors (45206957394144) is greater than itself. Its abundance is 31879243809504
Bases of 13327713584640
- Binary: 110000011111000110011010001001000110000000002
- Hexadecimal: 0xC1F19A24600
- Base-36: 4Q2O0K1S0
Squares and roots of 13327713584640
- 13327713584640 squared (133277135846402) is 177627949394197598443929600
- 13327713584640 cubed (133277135846403) is 2367374434152793791173624255263801344000
-
The
square root of 13327713584640 is 3650714.1198182035 -
The
cube root of 13327713584640 is 23709.2900873561
Scales and comparisons
How big is 13327713584640?- 13,327,713,584,640 seconds is equal to 423,780 years, 3 weeks, 3 days, 6 hours, 24 minutes.
-
To count from 1 to 13,327,713,584,640 would take you about one million, fifty-nine thousand, four hundred fifty 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 13327713584640 cubic inches would be around 1975.8 feet tall.
Recreational maths with 13327713584640
- 13327713584640 backwards is 04648531772331
- The number of decimal digits it has is: 14
- The sum of 13327713584640's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 13327713584640 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
APA style:
Numbermatics. (2024). Number 13327713584640 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/13327713584640/
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The information we have on file for 13327713584640 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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