13327892048640
13,327,892,048,640 is an even composite number composed of eight prime numbers multiplied together.
What does the number 13327892048640 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2304 divisors.
13327892048640 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 13327892048640:
28 × 3 × 5 × 133 × 17 × 19 × 67 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 13 × 13 × 17 × 19 × 67 × 73)See below for interesting mathematical facts about the number 13327892048640 from the Numbermatics database.
Names of 13327892048640
- Cardinal: 13327892048640 can be written as Thirteen trillion, three hundred twenty-seven billion, eight hundred ninety-two million, forty-eight thousand, six hundred forty.
Scientific notation
- Scientific notation: 1.332789204864 × 1013
Factors of 13327892048640
Divisors of 13327892048640
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 17 19 20 24 26 30 32 34 38 39 40 48 51 52 57 60 64 65 67 68 73 76 78 80 85 95 96 102 104 114 120 128 130 134 136 146 152 156 160 169 170 190 192 195 201 204 208 219 221 228 240 247 255 256 260 268 272 285 292 304 312 320 323 335 338 340 365 380 384 390 402 408 416 438 442 456 480 494 507 510 520 536 544 570 584 608 624 640 646 663 670 676 680 730 741 760 768 780 804 816 832 845 871 876 884 912 949 960 969 988 1005 1014 1020 1040 1072 1088 1095 1105 1139 1140 1168 1216 1235 1241 1248 1273 1280 1292 1326 1340 1352 1360 1387 1460 1482 1520 1560 1608 1615 1632 1664 1690 1742 1752 1768 1824 1898 1920 1938 1976 2010 2028 2040 2080 2144 2176 2190 2197 2210 2278 2280 2336 2432 2470 2482 2496 2535 2546 2584 2613 2652 2680 2704 2720 2774 2847 2873 2920 2964 3040 3120 3211 3216 3230 3264 3315 3328 3380 3417 3484 3504 3536 3648 3705 3723 3796 3819 3840 3876 3952 4020 4056 4080 4160 4161 4199 4288 4352 4355 4380 4394 4420 4556 4560 4672 4745 4845 4864 4891 4940 4964 4992 5070 5092 5168 5226 5304 5360 5408 5440 5548 5694 5695 5746 5840 5928 6080 6205 6240 6365 6422 6432 6460 6528 6591 6630 6760 6834 6935 6968 7008 7072 7296 7410 7446 7592 7638 7752 7904 8040 8112 8160 8320 8322 8398 8576 8619 8710 8760 8788 8840 9112 9120 9344 9490 9633 9690 9782 9880 9928 9984 10140 10184 10336 10452 10608 10720 10816 10880 10985 11096 11323 11388 11390 11492 11680 11856 12160 12337 12410 12480 12597 12730 12844 12864 12920 13056 13065 13182 13260 13520 13668 13870 13936 14016 14144 14235 14365 14592 14673 14807 14820 14892 15184 15276 15504 15808 16055 16080 16133 16224 16320 16549 16640 16644 16796 17085 17152 17238 17420 17520 17576 17680 18031 18224 18240 18615 18688 18980 19095 19266 19380 19564 19760 19856 20280 20368 20672 20805 20904 20995 21216 21440 21632 21641 21760 21970 22192 22646 22776 22780 22984 23360 23579 23712 24320 24455 24674 24820 24960 25194 25460 25688 25728 25840 26130 26364 26520 27040 27336 27740 27872 28032 28288 28470 28730 29346 29614 29640 29784 30368 30552 31008 31616 32110 32160 32266 32448 32640 32955 33098 33288 33592 33969 34170 34476 34840 35040 35152 35360 36062 36448 36480 37011 37230 37349 37960 38190 38532 38760 39128 39520 39712 40560 40736 41344 41610 41743 41808 41990 42432 42880 43095 43264 43282 43940 44384 44421 45292 45552 45560 45968 46720 47158 47424 48165 48399 48910 49348 49640 49647 49920 50388 50920 51376 51456 51680 52260 52728 53040 54080 54093 54587 54672 55480 55744 56064 56576 56615 56940 57460 58692 59228 59280 59568 60736 61104 61685 62016 62985 63232 63583 64220 64320 64532 64896 64923 65280 65910 66196 66576 67184 67938 68340 68952 69680 70080 70304 70720 70737 72124 72896 72960 73365 74022 74035 74460 74698 75920 76380 77064 77520 78256 79040 79424 80665 81120 81472 82688 82745 83147 83220 83486 83616 83980 84864 85760 86190 86564 87880 88768 88842 90155 90584 91104 91120 91936 92929 93440 94316 94848 96330 96798 97820 98696 99280 99294 100776 101840 102752 103360 104520 105456 106080 108160 108186 108205 109174 109344 110960 111488 112047 113230 113880 114920 117384 117895 118456 118560 119136 121472 122208 123370 124032 125229 125970 127166 128440 128640 129064 129792 129846 131820 132392 133152 134368 135876 136680 137904 139360 140160 140608 141440 141474 144248 145792 146730 147199 148044 148070 148920 149396 151840 152760 154128 155040 156512 158080 158848 160381 161330 162240 162944 163761 165490 166294 166440 166972 167232 167960 169728 169845 172380 173128 175760 177536 177684 180310 181168 182208 182240 183872 185055 185858 186745 188632 189696 190749 192491 192660 193596 195640 197392 198560 198588 201552 203680 205504 206720 208715 209040 209729 210912 212160 215137 216320 216372 216410 218348 218688 221920 222105 222976 224094 226460 227760 229840 234403 234768 235790 236912 237120 238272 241995 242944 244416 246740 248064 248235 249441 250458 251940 254332 256880 257280 258128 259692 263640 264784 266304 268736 270465 271752 272935 273360 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12061440768 12171590912 12249900780 12432735120 12815280816 13066560832 13143877760 13261584128 13489769280 13754274560 13883220884 14044143360 14613916720 15076800960 15214488640 15301827840 15772653312 16019101020 16333201040 16576980160 17087041088 17354026105 17536700064 17986359040 18257386368 19599841248 19715816640 19892376192 20102401280 20631411840 20824831326 21358801360 21920875080 22821732960 23382266752 24499801560 24865470240 25630561632 26133121664 26287755520 26979538560 27766441768 29227833440 30153601920 30428977280 32038202040 32666402080 33153960320 34174082176 34708052210 35073400128 36514772736 39199682496 39431633280 39784752384 41262823680 41649662652 42717602720 43841750160 45643465920 46764533504 48999603120 49730940480 51261123264 52062078315 52266243328 53959077120 55532883536 58455666880 60307203840 60857954560 64076404080 65332804160 66307920640 68348164352 69416104420 70146800256 78399364992 78863266560 83299325304 85435205440 87683500320 91286931840 97999206240 99461880960 102522246528 104124156630 111065767072 116911333760 128152808160 130665608320 138832208840 140293600512 156798729984 166598650608 170870410880 175367000640 182573863680 195998412480 198923761920 205044493056 208248313260 222131534144 233822667520 256305616320 261331216640 277664417680 333197301216 341740821760 350734001280 391996824960 416496626520 444263068288 512611232640 555328835360 666394602432 701468002560 783993649920 832993253040 888526136576 1025222465280 1110657670720 1332789204864 1665986506080 2221315341440 2665578409728 3331973012160 4442630682880 6663946024320 13327892048640
- Sum of all divisors σ(n): 52875225446400
- Sum of proper divisors (its aliquot sum) s(n): 39547333397760
- 13327892048640 is an abundant number, because the sum of its proper divisors (39547333397760) is greater than itself. Its abundance is 26219441349120
Bases of 13327892048640
- Binary: 110000011111001001000100010101101011000000002
- Hexadecimal: 0xC1F24456B00
- Base-36: 4Q2QYT5HC
Squares and roots of 13327892048640
- 13327892048640 squared (133278920486402) is 177632706460201336125849600
- 13327892048640 cubed (133278920486403) is 2367469536009320548365214866204524544000
-
The
square root of 13327892048640 is 3650738.5620775421 -
The
cube root of 13327892048640 is 23709.3959128563
Scales and comparisons
How big is 13327892048640?- 13,327,892,048,640 seconds is equal to 423,785 years, 38 weeks, 3 days, 19 hours, 44 minutes.
-
To count from 1 to 13,327,892,048,640 would take you about one million, fifty-nine thousand, four hundred sixty-four 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 13327892048640 cubic inches would be around 1975.8 feet tall.
Recreational maths with 13327892048640
- 13327892048640 backwards is 04684029872331
- 13327892048640 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13327892048640's digits is 57
- More coming soon!
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"Number 13327892048640 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
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Numbermatics. (2024). Number 13327892048640 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/13327892048640/
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Numbermatics. 2024. "Number 13327892048640 - Facts about the integer". https://numbermatics.com/n/13327892048640/
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